Question Bank
Browse SAT Math practice questions
One-Step Linear Equation
If x + 15 = 32, what is the value of x? A. 13 B. 17 C. 21 D. 47
Linear Word Problem
A number is tripled and then 8 is subtracted. The result is 106. What is the number? A. 36 B. 37 C. 38 D. 39
Expression from Linear Equation
If 4x + 6 = 26, what is 3x? A. 11 B. 13 C. 15 D. 17
Slope of a Line
What is the slope of the line passing through (1, 1) and (3, 9)? A. 3 B. 4 C. 5 D. 6
Consecutive Integer Problem
The sum of three consecutive integers is 111. What is the largest integer? A. 36 B. 37 C. 38 D. 39
Ratio and Proportion
The ratio of boys to girls in a class is 5:4. If there are 35 boys, how many girls are there? A. 23 B. 28 C. 33 D. 38
Rate, Distance, Time
A car travels 240 miles in 3 hours. At the same speed, how far does it travel in 5 hours? A. 350 B. 400 C. 425 D. 450
Range of Data Set
In the data set \{9, 5, 22, 13, 18, 3, 29\}, what is the range? A. 22 B. 24 C. 26 D. 30
Basic Probability
A bag contains 5 red, 4 blue, and 1 green marbles. If one marble is selected at random, what is the probability it is NOT red? A. \dfrac{5}{10} B. \dfrac{4}{10} C. \dfrac{5}{10} D. \dfrac{1}{10}
Linear Growth Model
A plant is 20 cm tall and grows 4 cm per week. After how many weeks will it be 60 cm tall? A. 7 B. 9 C. 10 D. 12
Triangle Angle Sum
In triangle ABC, \angle A = 70° and \angle B = 80°. What is \angle C? A. 20° B. 25° C. 30° D. 40°
Circle Area
A circle has a radius of 10. What is its area? A. 20\pi B. 10\pi C. 50\pi D. 100\pi
Volume of Rectangular Prism
A box has length 11, width 3, and height 5. What is its volume? A. 38 B. 88 C. 165 D. 195
Simple Interest
If 5,000 is invested at 4% simple interest per year, how much interest is earned in 3 years? A. 500 B. 550 C. 600 D. 700
Unit Conversion
If 1 day = 24 hours, how many hours are in 4 of the first unit? A. 91 B. 101 C. 106 D. 96
Area of Triangle
A triangle has base 14 and height 11. What is its area? A. 154 B. 38 C. 77 D. 89
Circle Circumference
A circle has radius 11. What is its circumference? A. 11\pi B. 121\pi C. 22\pi D. \dfrac{22}{\pi}
Data Interpretation
In a survey of 100 students, 55 prefer math, 25 prefer science, and 20 prefer English. What percentage prefer math or science? A. 55% B. 25% C. 80% D. 20%
Linear Word Problem
A number is tripled and then 8 is subtracted. The result is 22. What is the number? A. 8 B. 9 C. 10 D. 11
Expression from Linear Equation
If 3x + 5 = 20, what is 2x? A. 6 B. 8 C. 10 D. 12
Slope of a Line
What is the slope of the line passing through (1, 3) and (5, 11)? A. 1 B. 2 C. 3 D. 4
Consecutive Integer Problem
The sum of three consecutive integers is 48. What is the largest integer? A. 15 B. 16 C. 17 D. 18
Ratio and Proportion
The ratio of boys to girls in a class is 3:5. If there are 24 boys, how many girls are there? A. 35 B. 40 C. 45 D. 50
Rate, Distance, Time
A car travels 150 miles in 3 hours. At the same speed, how far does it travel in 5 hours? A. 200 B. 250 C. 275 D. 300
Range of Data Set
In the data set \{12, 18, 7, 23, 15, 9, 20\}, what is the range? A. 12 B. 14 C. 16 D. 20
Basic Probability
A bag contains 5 red, 3 blue, and 2 green marbles. If one marble is selected at random, what is the probability it is NOT red? A. \dfrac{5}{10} B. \dfrac{3}{10} C. \dfrac{5}{10} D. \dfrac{2}{10}
Linear Growth Model
A plant is 6 cm tall and grows 2.5 cm per week. After how many weeks will it be 31 cm tall? A. 7 B. 9 C. 10 D. 12
Triangle Angle Sum
In triangle ABC, \angle A = 45° and \angle B = 75°. What is \angle C? A. 50° B. 55° C. 60° D. 70°
Circle Area
A circle has a radius of 7. What is its area? A. 14\pi B. 7\pi C. 24\pi D. 49\pi
Volume of Rectangular Prism
A box has length 8, width 5, and height 3. What is its volume? A. 43 B. 64 C. 120 D. 150
Simple Interest
If 2,000 is invested at 5% simple interest per year, how much interest is earned in 3 years? A. 200 B. 250 C. 300 D. 400
Unit Conversion
If 1 mile = 1.6 km, how many km are in 5 of the first unit? A. 3 B. 13 C. 18 D. 8
Area of Triangle
A triangle has base 12 and height 8. What is its area? A. 96 B. 24 C. 48 D. 60
Circle Circumference
A circle has radius 7. What is its circumference? A. 7\pi B. 49\pi C. 14\pi D. \dfrac{14}{\pi}
Data Interpretation
In a survey of 100 students, 40 prefer math, 30 prefer science, and 20 prefer English. What percentage prefer math or science? A. 40% B. 30% C. 70% D. 20%
Linear Word Problem
A number is tripled and then 8 is subtracted. The result is 34. What is the number? A. 12 B. 13 C. 14 D. 15
Expression from Linear Equation
If 4x + 7 = 31, what is 3x? A. 14 B. 16 C. 18 D. 20
Slope of a Line
What is the slope of the line passing through (2, 4) and (5, 10)? A. 1 B. 2 C. 3 D. 4
Consecutive Integer Problem
The sum of three consecutive integers is 57. What is the largest integer? A. 18 B. 19 C. 20 D. 21
Ratio and Proportion
The ratio of boys to girls in a class is 2:7. If there are 14 boys, how many girls are there? A. 44 B. 49 C. 54 D. 59
Rate, Distance, Time
A car travels 180 miles in 4 hours. At the same speed, how far does it travel in 6 hours? A. 220 B. 270 C. 295 D. 320
Range of Data Set
In the data set \{5, 14, 3, 19, 8, 11, 22\}, what is the range? A. 15 B. 17 C. 19 D. 23
Basic Probability
A bag contains 4 red, 5 blue, and 3 green marbles. If one marble is selected at random, what is the probability it is NOT red? A. \dfrac{4}{12} B. \dfrac{5}{12} C. \dfrac{8}{12} D. \dfrac{3}{12}
Linear Growth Model
A plant is 10 cm tall and grows 3 cm per week. After how many weeks will it be 40 cm tall? A. 7 B. 9 C. 10 D. 12
Triangle Angle Sum
In triangle ABC, \angle A = 50° and \angle B = 70°. What is \angle C? A. 50° B. 55° C. 60° D. 70°
Circle Area
A circle has a radius of 5. What is its area? A. 10\pi B. 5\pi C. 12\pi D. 25\pi
Volume of Rectangular Prism
A box has length 6, width 4, and height 7. What is its volume? A. 31 B. 66 C. 168 D. 198
Simple Interest
If 1,500 is invested at 4% simple interest per year, how much interest is earned in 5 years? A. 200 B. 250 C. 300 D. 400
Unit Conversion
If 1 foot = 3 decimeters, how many decimeters are in 8 of the first unit? A. 19 B. 29 C. 34 D. 24
Area of Triangle
A triangle has base 15 and height 6. What is its area? A. 90 B. 22 C. 45 D. 57
Circle Circumference
A circle has radius 5. What is its circumference? A. 5\pi B. 25\pi C. 10\pi D. \dfrac{10}{\pi}
Data Interpretation
In a survey of 100 students, 35 prefer math, 45 prefer science, and 20 prefer English. What percentage prefer math or science? A. 35% B. 45% C. 80% D. 20%
Linear Word Problem
A number is tripled and then 8 is subtracted. The result is 46. What is the number? A. 16 B. 17 C. 18 D. 19
Expression from Linear Equation
If 5x + 3 = 28, what is 2x? A. 6 B. 8 C. 10 D. 12
Slope of a Line
What is the slope of the line passing through (0, 2) and (4, 14)? A. 2 B. 3 C. 4 D. 5
Consecutive Integer Problem
The sum of three consecutive integers is 66. What is the largest integer? A. 21 B. 22 C. 23 D. 24
Ratio and Proportion
The ratio of boys to girls in a class is 4:3. If there are 20 boys, how many girls are there? A. 10 B. 15 C. 20 D. 25
Rate, Distance, Time
A car travels 120 miles in 3 hours. At the same speed, how far does it travel in 7 hours? A. 230 B. 280 C. 305 D. 330
Range of Data Set
In the data set \{8, 25, 3, 17, 12, 6, 30\}, what is the range? A. 23 B. 25 C. 27 D. 31
Basic Probability
A bag contains 3 red, 4 blue, and 5 green marbles. If one marble is selected at random, what is the probability it is NOT red? A. \dfrac{3}{12} B. \dfrac{4}{12} C. \dfrac{9}{12} D. \dfrac{5}{12}
Linear Growth Model
A plant is 5 cm tall and grows 4 cm per week. After how many weeks will it be 45 cm tall? A. 7 B. 9 C. 10 D. 12
Triangle Angle Sum
In triangle ABC, \angle A = 35° and \angle B = 85°. What is \angle C? A. 50° B. 55° C. 60° D. 70°
Circle Area
A circle has a radius of 6. What is its area? A. 12\pi B. 6\pi C. 18\pi D. 36\pi
Volume of Rectangular Prism
A box has length 9, width 3, and height 5. What is its volume? A. 32 B. 72 C. 135 D. 165
Simple Interest
If 3,000 is invested at 6% simple interest per year, how much interest is earned in 2 years? A. 260 B. 310 C. 360 D. 460
Unit Conversion
If 1 meter = 4 spans, how many spans are in 5 of the first unit? A. 15 B. 25 C. 30 D. 20
Area of Triangle
A triangle has base 10 and height 14. What is its area? A. 140 B. 35 C. 70 D. 82
Circle Circumference
A circle has radius 6. What is its circumference? A. 6\pi B. 36\pi C. 12\pi D. \dfrac{12}{\pi}
Data Interpretation
In a survey of 100 students, 25 prefer math, 40 prefer science, and 35 prefer English. What percentage prefer math or science? A. 25% B. 40% C. 65% D. 35%
Linear Word Problem
A number is tripled and then 8 is subtracted. The result is 58. What is the number? A. 20 B. 21 C. 22 D. 23
Expression from Linear Equation
If 2x + 9 = 25, what is 4x? A. 28 B. 30 C. 32 D. 34
Slope of a Line
What is the slope of the line passing through (1, 5) and (3, 13)? A. 3 B. 4 C. 5 D. 6
Consecutive Integer Problem
The sum of three consecutive integers is 75. What is the largest integer? A. 24 B. 25 C. 26 D. 27
Ratio and Proportion
The ratio of boys to girls in a class is 5:2. If there are 25 boys, how many girls are there? A. 5 B. 10 C. 15 D. 20
Rate, Distance, Time
A car travels 200 miles in 5 hours. At the same speed, how far does it travel in 8 hours? A. 270 B. 320 C. 345 D. 370
Range of Data Set
In the data set \{10, 4, 21, 8, 15, 28, 7\}, what is the range? A. 20 B. 22 C. 24 D. 28
Basic Probability
A bag contains 6 red, 2 blue, and 4 green marbles. If one marble is selected at random, what is the probability it is NOT red? A. \dfrac{6}{12} B. \dfrac{2}{12} C. \dfrac{6}{12} D. \dfrac{4}{12}
Linear Growth Model
A plant is 8 cm tall and grows 2 cm per week. After how many weeks will it be 28 cm tall? A. 7 B. 9 C. 10 D. 12
Triangle Angle Sum
In triangle ABC, \angle A = 40° and \angle B = 80°. What is \angle C? A. 50° B. 55° C. 60° D. 70°
Circle Area
A circle has a radius of 8. What is its area? A. 16\pi B. 8\pi C. 32\pi D. 64\pi
Volume of Rectangular Prism
A box has length 10, width 4, and height 6. What is its volume? A. 46 B. 100 C. 240 D. 270
Simple Interest
If 2,500 is invested at 4% simple interest per year, how much interest is earned in 4 years? A. 300 B. 350 C. 400 D. 500
Unit Conversion
If 1 hour = 60 minutes, how many minutes are in 3 of the first unit? A. 175 B. 185 C. 190 D. 180
Area of Triangle
A triangle has base 18 and height 4. What is its area? A. 72 B. 18 C. 36 D. 48
Circle Circumference
A circle has radius 8. What is its circumference? A. 8\pi B. 64\pi C. 16\pi D. \dfrac{16}{\pi}
Data Interpretation
In a survey of 100 students, 50 prefer math, 30 prefer science, and 20 prefer English. What percentage prefer math or science? A. 50% B. 30% C. 80% D. 20%
Linear Word Problem
A number is tripled and then 8 is subtracted. The result is 70. What is the number? A. 24 B. 25 C. 26 D. 27
Expression from Linear Equation
If 6x + 4 = 34, what is 3x? A. 11 B. 13 C. 15 D. 17
Slope of a Line
What is the slope of the line passing through (2, 3) and (4, 9)? A. 2 B. 3 C. 4 D. 5
Consecutive Integer Problem
The sum of three consecutive integers is 84. What is the largest integer? A. 27 B. 28 C. 29 D. 30
Ratio and Proportion
The ratio of boys to girls in a class is 3:8. If there are 12 boys, how many girls are there? A. 27 B. 32 C. 37 D. 42
Rate, Distance, Time
A car travels 160 miles in 4 hours. At the same speed, how far does it travel in 5 hours? A. 150 B. 200 C. 225 D. 250
Range of Data Set
In the data set \{6, 18, 2, 24, 9, 13, 20\}, what is the range? A. 18 B. 20 C. 22 D. 26
Basic Probability
A bag contains 4 red, 3 blue, and 3 green marbles. If one marble is selected at random, what is the probability it is NOT red? A. \dfrac{4}{10} B. \dfrac{3}{10} C. \dfrac{6}{10} D. \dfrac{3}{10}
Linear Growth Model
A plant is 12 cm tall and grows 3 cm per week. After how many weeks will it be 42 cm tall? A. 7 B. 9 C. 10 D. 12
Triangle Angle Sum
In triangle ABC, \angle A = 30° and \angle B = 90°. What is \angle C? A. 50° B. 55° C. 60° D. 70°
Circle Area
A circle has a radius of 4. What is its area? A. 8\pi B. 4\pi C. 8\pi D. 16\pi
Volume of Rectangular Prism
A box has length 7, width 6, and height 4. What is its volume? A. 46 B. 70 C. 168 D. 198
Simple Interest
If 4,000 is invested at 5% simple interest per year, how much interest is earned in 2 years? A. 300 B. 350 C. 400 D. 500
Unit Conversion
If 1 year = 12 months, how many months are in 5 of the first unit? A. 55 B. 65 C. 70 D. 60
Area of Triangle
A triangle has base 20 and height 7. What is its area? A. 140 B. 35 C. 70 D. 82
Circle Circumference
A circle has radius 4. What is its circumference? A. 4\pi B. 16\pi C. 8\pi D. \dfrac{8}{\pi}
Data Interpretation
In a survey of 100 students, 30 prefer math, 35 prefer science, and 35 prefer English. What percentage prefer math or science? A. 30% B. 35% C. 65% D. 35%
Linear Word Problem
A number is tripled and then 8 is subtracted. The result is 82. What is the number? A. 28 B. 29 C. 30 D. 31
Expression from Linear Equation
If 3x + 8 = 29, what is 2x? A. 10 B. 12 C. 14 D. 16
Slope of a Line
What is the slope of the line passing through (1, 2) and (4, 11)? A. 2 B. 3 C. 4 D. 5
Consecutive Integer Problem
The sum of three consecutive integers is 93. What is the largest integer? A. 30 B. 31 C. 32 D. 33
Ratio and Proportion
The ratio of boys to girls in a class is 7:3. If there are 21 boys, how many girls are there? A. 4 B. 9 C. 14 D. 19
Rate, Distance, Time
A car travels 140 miles in 2 hours. At the same speed, how far does it travel in 5 hours? A. 300 B. 350 C. 375 D. 400
Range of Data Set
In the data set \{11, 3, 25, 7, 19, 14, 31\}, what is the range? A. 24 B. 26 C. 28 D. 32
Basic Probability
A bag contains 7 red, 2 blue, and 1 green marbles. If one marble is selected at random, what is the probability it is NOT red? A. \dfrac{7}{10} B. \dfrac{2}{10} C. \dfrac{3}{10} D. \dfrac{1}{10}
Linear Growth Model
A plant is 15 cm tall and grows 5 cm per week. After how many weeks will it be 65 cm tall? A. 7 B. 9 C. 10 D. 12
Triangle Angle Sum
In triangle ABC, \angle A = 25° and \angle B = 95°. What is \angle C? A. 50° B. 55° C. 60° D. 70°
Circle Area
A circle has a radius of 9. What is its area? A. 18\pi B. 9\pi C. 40\pi D. 81\pi
Volume of Rectangular Prism
A box has length 8, width 7, and height 3. What is its volume? A. 59 B. 80 C. 168 D. 198
Simple Interest
If 1,000 is invested at 8% simple interest per year, how much interest is earned in 5 years? A. 300 B. 350 C. 400 D. 500
Unit Conversion
If 1 meter = 100 centimeters, how many centimeters are in 7 of the first unit? A. 695 B. 705 C. 710 D. 700
Area of Triangle
A triangle has base 16 and height 9. What is its area? A. 144 B. 36 C. 72 D. 84
Circle Circumference
A circle has radius 9. What is its circumference? A. 9\pi B. 81\pi C. 18\pi D. \dfrac{18}{\pi}
Data Interpretation
In a survey of 100 students, 45 prefer math, 25 prefer science, and 30 prefer English. What percentage prefer math or science? A. 45% B. 25% C. 70% D. 30%
Linear Word Problem
A number is tripled and then 8 is subtracted. The result is 94. What is the number? A. 32 B. 33 C. 34 D. 35
Expression from Linear Equation
If 7x + 2 = 30, what is 4x? A. 12 B. 14 C. 16 D. 18
Slope of a Line
What is the slope of the line passing through (0, 4) and (2, 10)? A. 2 B. 3 C. 4 D. 5
Consecutive Integer Problem
The sum of three consecutive integers is 102. What is the largest integer? A. 33 B. 34 C. 35 D. 36
Ratio and Proportion
The ratio of boys to girls in a class is 2:9. If there are 18 boys, how many girls are there? A. 76 B. 81 C. 86 D. 91
Rate, Distance, Time
A car travels 100 miles in 4 hours. At the same speed, how far does it travel in 6 hours? A. 100 B. 150 C. 175 D. 200
Range of Data Set
In the data set \{4, 20, 8, 16, 1, 12, 27\}, what is the range? A. 22 B. 24 C. 26 D. 30
Basic Probability
A bag contains 3 red, 6 blue, and 1 green marbles. If one marble is selected at random, what is the probability it is NOT red? A. \dfrac{3}{10} B. \dfrac{6}{10} C. \dfrac{7}{10} D. \dfrac{1}{10}
Linear Growth Model
A plant is 4 cm tall and grows 6 cm per week. After how many weeks will it be 64 cm tall? A. 7 B. 9 C. 10 D. 12
Triangle Angle Sum
In triangle ABC, \angle A = 60° and \angle B = 75°. What is \angle C? A. 35° B. 40° C. 45° D. 55°
Circle Area
A circle has a radius of 3. What is its area? A. 6\pi B. 3\pi C. 4\pi D. 9\pi
Volume of Rectangular Prism
A box has length 5, width 9, and height 4. What is its volume? A. 49 B. 65 C. 180 D. 210
Simple Interest
If 2,000 is invested at 3% simple interest per year, how much interest is earned in 5 years? A. 200 B. 250 C. 300 D. 400
Unit Conversion
If 1 kilogram = 1000 grams, how many grams are in 3 of the first unit? A. 2995 B. 3005 C. 3010 D. 3000
Area of Triangle
A triangle has base 24 and height 5. What is its area? A. 120 B. 30 C. 60 D. 72
Circle Circumference
A circle has radius 3. What is its circumference? A. 3\pi B. 9\pi C. 6\pi D. \dfrac{6}{\pi}
Data Interpretation
In a survey of 100 students, 20 prefer math, 50 prefer science, and 30 prefer English. What percentage prefer math or science? A. 20% B. 50% C. 70% D. 30%
Two-Step Linear Equation
If 3x - 9 = 15, what is the value of x? A. 2 B. 6 C. 8 D. 12
Proportion Word Problem
A recipe uses 3 cups of flour to make 24 cookies. How many cups of flour are needed to make 72 cookies? A. 6 B. 7 C. 8 D. 9
Percent of a Whole
35 is what percent of 140? A. 20% B. 25% C. 30% D. 35%
Factoring: Difference of Squares
Which of the following is equivalent to x^2 - 49? A. (x - 7)^2 B. (x + 7)(x - 7) C. (x + 7)^2 D. (x - 7)(x - 7)
Domain of a Rational Function
What is the domain of f(x) = \dfrac{3x + 1}{x - 4}? A. All real numbers B. All real numbers except x = 4 C. All real numbers except x = -\dfrac{1}{3} D. x > 4
Midpoint of a Segment
What is the midpoint of the segment connecting (2, 4) and (8, 10)? A. (5, 7) B. (6, 7) C. (5, 6) D. (4, 6)
Median of a Data Set
What is the median of the data set \{3, 8, 2, 15, 7, 11, 4\}? A. 4 B. 7 C. 8 D. 11
Supplementary and Complementary Angles
Two angles are supplementary. One angle measures 68°. What is the measure of the other angle? A. 22° B. 112° C. 122° D. 292°
Variables on Both Sides
If 6x - 4 = 3x + 8, what is x? A. 1 B. 4 C. 3 D. 6
Equation with Fractions
If \dfrac{4x + 1}{3} = 5, what is x? A. 1 B. 4 C. 3 D. 6
System: Substitution
If x + 3y = 16 and x = 4, what is y? A. 2 B. 3 C. 4 D. 5
Factoring Trinomials
Which of the following is equivalent to x^2 + 13x + 40? A. (x + 4)(x + 9) B. (x + 5)(x + 8) C. (x + 6)(x + 7) D. (x - 5)(x - 8)
Quadratic Equation Solutions
What are the solutions to x^2 - 12x + 35 = 0? A. x = 4 or x = 8 B. x = 5 or x = 7 C. x = -5 or x = -7 D. x = 5 or x = -7
Function Evaluation
If f(x) = 3x^2 -4x +2, what is f(-2)? A. 14 B. 18 C. 22 D. 26
Equation of a Line
What is the equation of the line with slope 4 passing through (2, 10)? A. y = 4x +4 B. y = 4x +2 C. y = 4x +1 D. y = 4x +5
Median and Range
For the data set {3, 7, 9, 12, 15}, what is the median? A. 7 B. 9 C. 10 D. 12
Percent Change Net Effect
A store's revenue increased by 10% one month, then decreased by 20% the next month. What percentage of the original revenue does it now represent? A. 92% B. 90% C. 88% D. 86%
Mean with Added Value
The average of 4 test scores is 92. A 5th score of 82 is added. What is the new average? A. 88 B. 90 C. 92 D. 92
Pythagorean Theorem
A right triangle has legs of length 3 and 4. What is the hypotenuse? A. 3 B. 4 C. 5 D. 6
Exponential Growth
A bacteria population starts at 250 and multiplies by 4 every 3 hours. How many bacteria are there after 6 hours? A. 2000 B. 2000 C. 4000 D. 8000
Similar Triangles
Two similar triangles have corresponding sides in ratio 4:6. If one side of the smaller triangle is 10, what is the corresponding side of the larger triangle? A. 18 B. 13 C. 15 D. 20
Linear Equation with Constants
If 2x - 7 = 13, what is the value of 4x - 10? A. 26 B. 30 C. 34 D. 40
Variables on Both Sides
If 5x - 3 = 2x + 11, what is x? A. 1 B. 4 C. 3 D. 6
Equation with Fractions
If \dfrac{3x + 1}{4} = 5, what is x? A. 4 B. 7 C. 6 D. 9
System: Substitution
If x + 2y = 10 and x = 3, what is y? A. 1 B. 2 C. 3 D. 4
Factoring Trinomials
Which of the following is equivalent to x^2 + 7x + 12? A. (x + 2)(x + 5) B. (x + 3)(x + 4) C. (x + 4)(x + 3) D. (x - 3)(x - 4)
Quadratic Equation Solutions
What are the solutions to x^2 - 5x + 6 = 0? A. x = 1 or x = 4 B. x = 2 or x = 3 C. x = -2 or x = -3 D. x = 2 or x = -3
Function Evaluation
If f(x) = 2x^2 -3x +1, what is f(-2)? A. 7 B. 11 C. 15 D. 19
Equation of a Line
What is the equation of the line with slope 3 passing through (2, 5)? A. y = 3x +1 B. y = 3x -1 C. y = 3x -2 D. y = 3x +2
Percentage Increase
A shirt originally priced at 40 is on sale for 25% off. What is the sale price? A. 10 B. 25 C. 30 D. 35
Percent Change Net Effect
A store's revenue increased by 20% one month, then decreased by 20% the next month. What percentage of the original revenue does it now represent? A. 100% B. 98% C. 96% D. 94%
Mean with Added Value
The average of 4 test scores is 85. A 5th score of 90 is added. What is the new average? A. 84 B. 86 C. 85 D. 88
Pythagorean Theorem
A right triangle has legs of length 5 and 12. What is the hypotenuse? A. 11 B. 12 C. 13 D. 14
Exponential Growth
A bacteria population starts at 200 and multiplies by 2 every 3 hours. How many bacteria are there after 9 hours? A. 1200 B. 800 C. 1600 D. 3200
Similar Triangles
Two similar triangles have corresponding sides in ratio 3:6. If one side of the smaller triangle is 4, what is the corresponding side of the larger triangle? A. 11 B. 6 C. 8 D. 13
Variables on Both Sides
If 7x - 4 = 3x + 14, what is x? A. 1 B. 4 C. 3 D. 6
Equation with Fractions
If \dfrac{2x + 3}{5} = 7, what is x? A. 14 B. 17 C. 16 D. 19
System: Substitution
If x + 3y = 14 and x = 4, what is y? A. 1 B. 2 C. 3 D. 4
Factoring Trinomials
Which of the following is equivalent to x^2 + 8x + 15? A. (x + 2)(x + 6) B. (x + 3)(x + 5) C. (x + 4)(x + 4) D. (x - 3)(x - 5)
Quadratic Equation Solutions
What are the solutions to x^2 - 7x + 12 = 0? A. x = 2 or x = 5 B. x = 3 or x = 4 C. x = -3 or x = -4 D. x = 3 or x = -4
Function Evaluation
If f(x) = 3x^2 +2x -1, what is f(3)? A. 24 B. 28 C. 32 D. 36
Equation of a Line
What is the equation of the line with slope 2 passing through (3, 7)? A. y = 2x +3 B. y = 2x +1 C. y = 2x +0 D. y = 2x +4
Statistical Mean
The mean of five numbers is 18. If one of the numbers is removed, the mean of the remaining four numbers is 16. What is the value of the number that was removed? A. 20 B. 22 C. 24 D. 26
Percent Change Net Effect
A store's revenue increased by 10% one month, then decreased by 10% the next month. What percentage of the original revenue does it now represent? A. 103% B. 101% C. 99% D. 97%
Mean with Added Value
The average of 4 test scores is 80. A 5th score of 95 is added. What is the new average? A. 81 B. 83 C. 80 D. 85
Pythagorean Theorem
A right triangle has legs of length 8 and 15. What is the hypotenuse? A. 15 B. 16 C. 17 D. 18
Exponential Growth
A bacteria population starts at 100 and multiplies by 3 every 2 hours. How many bacteria are there after 6 hours? A. 900 B. 450 C. 900 D. 1800
Similar Triangles
Two similar triangles have corresponding sides in ratio 5:10. If one side of the smaller triangle is 7, what is the corresponding side of the larger triangle? A. 17 B. 12 C. 14 D. 19
Variables on Both Sides
If 6x - 2 = 4x + 10, what is x? A. 3 B. 6 C. 5 D. 8
Equation with Fractions
If \dfrac{4x + 2}{3} = 6, what is x? A. 2 B. 5 C. 4 D. 7
System: Substitution
If x + 2y = 12 and x = 4, what is y? A. 2 B. 3 C. 4 D. 5
Factoring Trinomials
Which of the following is equivalent to x^2 + 9x + 20? A. (x + 3)(x + 6) B. (x + 4)(x + 5) C. (x + 5)(x + 4) D. (x - 4)(x - 5)
Quadratic Equation Solutions
What are the solutions to x^2 - 9x + 20 = 0? A. x = 3 or x = 6 B. x = 4 or x = 5 C. x = -4 or x = -5 D. x = 4 or x = -5
Function Evaluation
If f(x) = 1x^2 -4x +5, what is f(2)? A. -7 B. -3 C. 1 D. 5
Equation of a Line
What is the equation of the line with slope 4 passing through (1, 6)? A. y = 4x +4 B. y = 4x +2 C. y = 4x +1 D. y = 4x +5
Percent Change Net Effect
A store's revenue increased by 50% one month, then decreased by 50% the next month. What percentage of the original revenue does it now represent? A. 79% B. 77% C. 75% D. 73%
Mean with Added Value
The average of 4 test scores is 70. A 5th score of 80 is added. What is the new average? A. 70 B. 72 C. 70 D. 74
Pythagorean Theorem
A right triangle has legs of length 7 and 24. What is the hypotenuse? A. 23 B. 24 C. 25 D. 26
Exponential Growth
A bacteria population starts at 50 and multiplies by 2 every 1 hour. How many bacteria are there after 4 hours? A. 400 B. 400 C. 800 D. 1600
Similar Triangles
Two similar triangles have corresponding sides in ratio 4:12. If one side of the smaller triangle is 3, what is the corresponding side of the larger triangle? A. 12 B. 7 C. 9 D. 14
Variables on Both Sides
If 8x - 5 = 3x + 9, what is x? A. -1 B. 2 C. 1 D. 4
Equation with Fractions
If \dfrac{3x + 5}{4} = 8, what is x? A. 7 B. 10 C. 9 D. 12
System: Substitution
If x + 3y = 18 and x = 6, what is y? A. 2 B. 3 C. 4 D. 5
Factoring Trinomials
Which of the following is equivalent to x^2 + 5x + 6? A. (x + 1)(x + 4) B. (x + 2)(x + 3) C. (x + 3)(x + 2) D. (x - 2)(x - 3)
Quadratic Equation Solutions
What are the solutions to x^2 - 8x + 15 = 0? A. x = 2 or x = 6 B. x = 3 or x = 5 C. x = -3 or x = -5 D. x = 3 or x = -5
Function Evaluation
If f(x) = 2x^2 +3x -2, what is f(-1)? A. -11 B. -7 C. -3 D. 1
Equation of a Line
What is the equation of the line with slope 3 passing through (2, 8)? A. y = 3x +4 B. y = 3x +2 C. y = 3x +1 D. y = 3x +5
Probability
A bag contains 3 red marbles, 5 blue marbles, and 2 green marbles. If one marble is randomly selected, what is the probability of selecting a blue marble? A. \frac{1}{5} B. \frac{1}{3} C. \frac{1}{2} D. \frac{5}{10}
Percent Change Net Effect
A store's revenue increased by 25% one month, then decreased by 20% the next month. What percentage of the original revenue does it now represent? A. 104% B. 102% C. 100% D. 98%
Mean with Added Value
The average of 4 test scores is 75. A 5th score of 95 is added. What is the new average? A. 77 B. 79 C. 75 D. 81
Pythagorean Theorem
A right triangle has legs of length 9 and 40. What is the hypotenuse? A. 39 B. 40 C. 41 D. 42
Exponential Growth
A bacteria population starts at 500 and multiplies by 2 every 3 hours. How many bacteria are there after 9 hours? A. 3000 B. 2000 C. 4000 D. 8000
Similar Triangles
Two similar triangles have corresponding sides in ratio 6:9. If one side of the smaller triangle is 8, what is the corresponding side of the larger triangle? A. 15 B. 10 C. 12 D. 17
Variables on Both Sides
If 9x - 7 = 4x + 7, what is x? A. -1 B. 2 C. 1 D. 4
Equation with Fractions
If \dfrac{2x + 1}{3} = 5, what is x? A. 5 B. 8 C. 7 D. 10
System: Substitution
If x + 2y = 8 and x = 2, what is y? A. 1 B. 2 C. 3 D. 4
Factoring Trinomials
Which of the following is equivalent to x^2 + 10x + 24? A. (x + 3)(x + 7) B. (x + 4)(x + 6) C. (x + 5)(x + 5) D. (x - 4)(x - 6)
Quadratic Equation Solutions
What are the solutions to x^2 - 11x + 28 = 0? A. x = 3 or x = 8 B. x = 4 or x = 7 C. x = -4 or x = -7 D. x = 4 or x = -7
Function Evaluation
If f(x) = 3x^2 -2x +4, what is f(2)? A. 4 B. 8 C. 12 D. 16
Equation of a Line
What is the equation of the line with slope 2 passing through (4, 9)? A. y = 2x +3 B. y = 2x +1 C. y = 2x +0 D. y = 2x +4
Percent Change Net Effect
A store's revenue increased by 20% one month, then decreased by 25% the next month. What percentage of the original revenue does it now represent? A. 94% B. 92% C. 90% D. 88%
Mean with Added Value
The average of 4 test scores is 90. A 5th score of 80 is added. What is the new average? A. 86 B. 88 C. 90 D. 90
Pythagorean Theorem
A right triangle has legs of length 6 and 8. What is the hypotenuse? A. 8 B. 9 C. 10 D. 11
Exponential Growth
A bacteria population starts at 300 and multiplies by 3 every 4 hours. How many bacteria are there after 8 hours? A. 1800 B. 1350 C. 2700 D. 5400
Similar Triangles
Two similar triangles have corresponding sides in ratio 2:8. If one side of the smaller triangle is 5, what is the corresponding side of the larger triangle? A. 23 B. 18 C. 20 D. 25
Variables on Both Sides
If 5x - 6 = 2x + 2, what is x? A. -1 B. 2 C. 1 D. 4
Equation with Fractions
If \dfrac{5x + 3}{4} = 7, what is x? A. 3 B. 6 C. 5 D. 8
System: Substitution
If x + 4y = 20 and x = 8, what is y? A. 1 B. 2 C. 3 D. 4
Factoring Trinomials
Which of the following is equivalent to x^2 + 11x + 28? A. (x + 3)(x + 8) B. (x + 4)(x + 7) C. (x + 5)(x + 6) D. (x - 4)(x - 7)
Quadratic Equation Solutions
What are the solutions to x^2 - 10x + 24 = 0? A. x = 3 or x = 7 B. x = 4 or x = 6 C. x = -4 or x = -6 D. x = 4 or x = -6
Function Evaluation
If f(x) = 1x^2 +5x -3, what is f(-3)? A. -17 B. -13 C. -9 D. -5
Equation of a Line
What is the equation of the line with slope 5 passing through (1, 7)? A. y = 5x +4 B. y = 5x +2 C. y = 5x +1 D. y = 5x +5
Proportional Relationships
If 5 pounds of apples cost 8, how much would 12 pounds cost at the same rate? A. 15.00 B. 16.80 C. 19.20 D. 20.00
Percent Change Net Effect
A store's revenue increased by 40% one month, then decreased by 40% the next month. What percentage of the original revenue does it now represent? A. 88% B. 86% C. 84% D. 82%
Mean with Added Value
The average of 4 test scores is 85. A 5th score of 95 is added. What is the new average? A. 85 B. 87 C. 85 D. 89
Pythagorean Theorem
A right triangle has legs of length 10 and 24. What is the hypotenuse? A. 24 B. 25 C. 26 D. 27
Exponential Growth
A bacteria population starts at 1000 and multiplies by 2 every 5 hours. How many bacteria are there after 10 hours? A. 4000 B. 2000 C. 4000 D. 8000
Similar Triangles
Two similar triangles have corresponding sides in ratio 3:9. If one side of the smaller triangle is 7, what is the corresponding side of the larger triangle? A. 24 B. 19 C. 21 D. 26
Variables on Both Sides
If 7x - 3 = 5x + 9, what is x? A. 3 B. 6 C. 5 D. 8
Equation with Fractions
If \dfrac{3x + 2}{5} = 7, what is x? A. 9 B. 12 C. 11 D. 14
System: Substitution
If x + 2y = 14 and x = 6, what is y? A. 2 B. 3 C. 4 D. 5
Factoring Trinomials
Which of the following is equivalent to x^2 + 6x + 8? A. (x + 1)(x + 5) B. (x + 2)(x + 4) C. (x + 3)(x + 3) D. (x - 2)(x - 4)
Quadratic Equation Solutions
What are the solutions to x^2 - 13x + 40 = 0? A. x = 4 or x = 9 B. x = 5 or x = 8 C. x = -5 or x = -8 D. x = 5 or x = -8
Function Evaluation
If f(x) = 2x^2 +1x -6, what is f(3)? A. 7 B. 11 C. 15 D. 19
Equation of a Line
What is the equation of the line with slope 3 passing through (3, 11)? A. y = 3x +4 B. y = 3x +2 C. y = 3x +1 D. y = 3x +5
Percent Change Net Effect
A store's revenue increased by 30% one month, then decreased by 30% the next month. What percentage of the original revenue does it now represent? A. 95% B. 93% C. 91% D. 89%
Mean with Added Value
The average of 4 test scores is 78. A 5th score of 88 is added. What is the new average? A. 78 B. 80 C. 78 D. 82
Pythagorean Theorem
A right triangle has legs of length 20 and 21. What is the hypotenuse? A. 27 B. 28 C. 29 D. 30
Exponential Growth
A bacteria population starts at 400 and multiplies by 2 every 2 hours. How many bacteria are there after 8 hours? A. 3200 B. 3200 C. 6400 D. 12800
Similar Triangles
Two similar triangles have corresponding sides in ratio 5:15. If one side of the smaller triangle is 4, what is the corresponding side of the larger triangle? A. 15 B. 10 C. 12 D. 17
Linear Inequality Solution Set
Which of the following represents the solution to 5x - 3 > 2x + 9? A. x > 2 B. x > 4 C. x > 6 D. x < 4
Discriminant and Number of Solutions
How many real solutions does the equation x^2 - 6x + 10 = 0 have? A. 0 B. 1 C. 2 D. Cannot be determined
Inverse Function
If f(x) = 3x - 6, what is f^{-1}(12)? A. 2 B. 6 C. 10 D. 30
Parallel and Perpendicular Lines
Line \ell has equation y = 3x - 5. Which of the following is the equation of a line perpendicular to \ell? A. y = 3x + 2 B. y = -3x + 1 C. y = \dfrac{1}{3}x - 4 D. y = -\dfrac{1}{3}x + 7
Mean vs Median Interpretation
A data set has 5 values: \{4, 6, 8, 9, x\}. If the mean is 7, what is x? A. 6 B. 7 C. 8 D. 9
Area of a Trapezoid
A trapezoid has parallel sides of length 6 and 10, and a height of 4. What is its area? A. 24 B. 32 C. 40 D. 48
Synthetic Division Concept
If x - 2 is a factor of x^3 - 6x^2 + kx - 8, what is the value of k? A. 4 B. 8 C. 11 D. 12
System: Elimination
If 5x + 3y = 26 and 3x + 3y = 20, what is x? A. 1 B. 4 C. 3 D. 6
Sum and Product of Roots
In x^2 + bx + c = 0, the sum of roots is 11 and product is 30. What is c - b? A. 31 B. 30 C. 41 D. 46
Function Composition
If f(x) = 5x +2 and g(x) = x^2, what is f(g(3))? A. 17 B. 9 C. 47 D. 52
Polynomial Remainder Theorem
What is the remainder when 1x^3 -5x^2 +8x -4 is divided by (x - 2)? A. -4 B. 0 C. 2 D. 6
Rational Expression Simplification
For x \neq -10, which is equivalent to \dfrac{x^2 - 100}{x + 10}? A. x + 10 B. x - 10 C. x^2 - 10 D. x + 20
Exponential Equations
If 2^x = 256, what is 4^x? A. 512 B. 16384 C. 131072 D. 65536
Absolute Value Inequality
Which values of x satisfy |5x - 10| < 15? A. -1 < x < 5 B. x < -1 or x > 5 C. -15 < x < 15 D. -5 < x < 1
Work Rate Problem
Worker A completes a job in 5 hours. Worker B completes the same job in 20 hours. How many hours does it take them working together? A. 3.0 B. 4 C. 5.0 D. 6.0
Quadratic Expression Factoring
Which of the following is equivalent to x^2 + 6x + 8? A. (x + 2)(x + 4) B. (x + 1)(x + 8) C. (x + 3)(x + 3) D. (x + 4)(x + 2)
System: Elimination
If 3x + 2y = 16 and 1x + 2y = 8, what is x? A. 2 B. 5 C. 4 D. 7
Sum and Product of Roots
In x^2 + bx + c = 0, the sum of roots is 7 and product is 12. What is c - b? A. 9 B. 12 C. 19 D. 24
Function Composition
If f(x) = 2x +1 and g(x) = x^2, what is f(g(3))? A. 7 B. 9 C. 19 D. 24
Polynomial Remainder Theorem
What is the remainder when 1x^3 -2x^2 +3x -4 is divided by (x - 1)? A. -6 B. -2 C. 0 D. 4
Rational Expression Simplification
For x \neq -2, which is equivalent to \dfrac{x^2 - 4}{x + 2}? A. x + 2 B. x - 2 C. x^2 - 2 D. x + 4
Exponential Equations
If 2^x = 32, what is 4^x? A. 64 B. 256 C. 2048 D. 1024
Absolute Value Inequality
Which values of x satisfy |2x - 3| < 7? A. -2 < x < 5 B. x < -2 or x > 5 C. -7 < x < 7 D. -5 < x < 2
Work Rate Problem
Worker A completes a job in 6 hours. Worker B completes the same job in 4 hours. How many hours does it take them working together? A. 1.4 B. 2.4 C. 3.4 D. 4.4
System of Linear Equations
If 3x + 2y = 12 and x - y = 1, what is the value of x? A. 1 B. 2 C. 3 D. 4
System: Elimination
If 4x + 3y = 22 and 2x + 3y = 13, what is x? A. 2 B. 5 C. 4 D. 7
Sum and Product of Roots
In x^2 + bx + c = 0, the sum of roots is 5 and product is 6. What is c - b? A. 1 B. 6 C. 11 D. 16
Function Composition
If f(x) = 3x -2 and g(x) = x^2, what is f(g(2))? A. 4 B. 4 C. 10 D. 15
Polynomial Remainder Theorem
What is the remainder when 1x^3 +3x^2 -2x +5 is divided by (x - -2)? A. 9 B. 13 C. 15 D. 19
Rational Expression Simplification
For x \neq -3, which is equivalent to \dfrac{x^2 - 9}{x + 3}? A. x + 3 B. x - 3 C. x^2 - 3 D. x + 6
Exponential Equations
If 2^x = 8, what is 4^x? A. 16 B. 16 C. 128 D. 64
Absolute Value Inequality
Which values of x satisfy |2x - 4| < 8? A. -2 < x < 6 B. x < -2 or x > 6 C. -8 < x < 8 D. -6 < x < 2
Work Rate Problem
Worker A completes a job in 8 hours. Worker B completes the same job in 12 hours. How many hours does it take them working together? A. 3.8 B. 4.8 C. 5.8 D. 6.8
Exponential Growth
If 2^x = 16, what is the value of 2^{x+2}? A. 18 B. 32 C. 64 D. 128
System: Elimination
If 5x + 2y = 21 and 3x + 2y = 15, what is x? A. 1 B. 4 C. 3 D. 6
Sum and Product of Roots
In x^2 + bx + c = 0, the sum of roots is 9 and product is 14. What is c - b? A. 13 B. 14 C. 23 D. 28
Function Composition
If f(x) = 2x +3 and g(x) = x^2, what is f(g(4))? A. 11 B. 16 C. 35 D. 40
Polynomial Remainder Theorem
What is the remainder when 2x^3 -1x^2 +4x -3 is divided by (x - 1)? A. -2 B. 2 C. 4 D. 8
Rational Expression Simplification
For x \neq -4, which is equivalent to \dfrac{x^2 - 16}{x + 4}? A. x + 4 B. x - 4 C. x^2 - 4 D. x + 8
Exponential Equations
If 2^x = 4, what is 4^x? A. 8 B. 4 C. 32 D. 16
Absolute Value Inequality
Which values of x satisfy |3x - 6| < 9? A. -1 < x < 5 B. x < -1 or x > 5 C. -9 < x < 9 D. -5 < x < 1
Linear Function Word Problem
A gym charges a 50 membership fee plus 30 per month. Which equation represents the total cost C after m months? A. C = 50m + 30 B. C = 30m + 50 C. C = 80m D. C = 50m + 30m
Work Rate Problem
Worker A completes a job in 4 hours. Worker B completes the same job in 12 hours. How many hours does it take them working together? A. 2.0 B. 3 C. 4.0 D. 5.0
Radical Expressions
Which of the following is equivalent to \sqrt{50} + \sqrt{32}? A. \sqrt{82} B. 9\sqrt{2} C. 11\sqrt{2} D. 82
System: Elimination
If 2x + 3y = 17 and 1x + 3y = 11, what is x? A. 4 B. 7 C. 6 D. 9
Sum and Product of Roots
In x^2 + bx + c = 0, the sum of roots is 8 and product is 12. What is c - b? A. 10 B. 12 C. 20 D. 25
Function Composition
If f(x) = 4x -1 and g(x) = x^2, what is f(g(2))? A. 7 B. 4 C. 15 D. 20
Polynomial Remainder Theorem
What is the remainder when 1x^3 -4x^2 +6x -3 is divided by (x - 2)? A. -3 B. 1 C. 3 D. 7
Rational Expression Simplification
For x \neq -5, which is equivalent to \dfrac{x^2 - 25}{x + 5}? A. x + 5 B. x - 5 C. x^2 - 5 D. x + 10
Exponential Equations
If 2^x = 16, what is 4^x? A. 32 B. 64 C. 512 D. 256
Absolute Value Inequality
Which values of x satisfy |2x - 6| < 10? A. -2 < x < 8 B. x < -2 or x > 8 C. -10 < x < 10 D. -8 < x < 2
Work Rate Problem
Worker A completes a job in 3 hours. Worker B completes the same job in 6 hours. How many hours does it take them working together? A. 1.0 B. 2 C. 3.0 D. 4.0
Absolute Value Equations
If |2x - 3| = 7, what are all possible values of x? A. x = 5 only B. x = -2 only C. x = 5 or x = -2 D. x = 5 or x = 2