| sat-q-00003 | Heart of Algebra | Linear equations in one variable | If 5x + 10 = 55, what is the value of x? |
| sat-q-00004 | Heart of Algebra | Linear equations in one variable | If 5x + 12 = -38, what is the value of x? |
| sat-q-00005 | Heart of Algebra | Linear equations in one variable | If 6x + 1 = 25, what is the value of x? |
| sat-q-00009 | Heart of Algebra | Linear equations in one variable | If 4x − 10 = 26, what is the value of x? |
| sat-q-00010 | Heart of Algebra | Linear equations in one variable | If 7x + 8 = -34, what is the value of x? |
| sat-q-00011 | Heart of Algebra | Linear equations in one variable | If 2x + 10 = 2, what is the value of x? |
| sat-q-00017 | Heart of Algebra | Linear functions and their graphs | A bicycle rental company charges a flat fee of $29 plus $4 per hour. If C(h) represents the total cost in dollars for h hours, which of the following best represents C(h)? |
| sat-q-00018 | Heart of Algebra | Linear functions and their graphs | What is the slope of the line passing through (-1, -3) and (-2, -4)? |
| sat-q-00019 | Heart of Algebra | Linear functions and their graphs | A bicycle rental company charges a flat fee of $66 plus $5 per hour. If C(h) represents the total cost in dollars for h hours, which of the following best represents C(h)? |
| sat-q-00023 | Heart of Algebra | Linear functions and their graphs | A bicycle rental company charges a flat fee of $43 plus $2 per hour. If C(h) represents the total cost in dollars for h hours, which of the following best represents C(h)? |
| sat-q-00024 | Heart of Algebra | Linear functions and their graphs | What is the slope of the line passing through (-5, -2) and (3, -3)? |
| sat-q-00025 | Heart of Algebra | Linear functions and their graphs | A bicycle rental company charges a flat fee of $57 plus $5 per hour. If C(h) represents the total cost in dollars for h hours, which of the following best represents C(h)? |
| sat-q-00031 | Heart of Algebra | Systems of two linear equations | Consider the system of equations:
5x + 4y = -31
5x − 4y = 1
What is the value of x? |
| sat-q-00032 | Heart of Algebra | Systems of two linear equations | Consider the system of equations:
2x + 5y = -12
4x − 1y = 20
What is the value of x? |
| sat-q-00033 | Heart of Algebra | Systems of two linear equations | Consider the system of equations:
5x + 4y = 46
3x − 2y = 10
What is the value of x? |
| sat-q-00037 | Heart of Algebra | Systems of two linear equations | Consider the system of equations:
5x + 2y = 12
4x − 1y = 20
What is the value of x? |
| sat-q-00038 | Heart of Algebra | Systems of two linear equations | Consider the system of equations:
4x + 2y = 24
5x − 1y = 9
What is the value of x? |
| sat-q-00039 | Heart of Algebra | Systems of two linear equations | Consider the system of equations:
4x + 3y = 21
5x − 4y = 3
What is the value of x? |
| sat-q-00045 | Heart of Algebra | Linear inequalities and systems of inequalities | A student has a budget of $58. Each notebook costs $7 and a backpack costs $5. If she buys exactly one backpack and x notebooks, what is the maximum value of x she can afford? |
| sat-q-00046 | Heart of Algebra | Linear inequalities and systems of inequalities | A student has a budget of $47. Each notebook costs $3 and a backpack costs $6. If she buys exactly one backpack and x notebooks, what is the maximum value of x she can afford? |
| sat-q-00047 | Heart of Algebra | Linear inequalities and systems of inequalities | A student has a budget of $26. Each notebook costs $7 and a backpack costs $18. If she buys exactly one backpack and x notebooks, what is the maximum value of x she can afford? |
| sat-q-00051 | Heart of Algebra | Linear inequalities and systems of inequalities | A student has a budget of $21. Each notebook costs $3 and a backpack costs $19. If she buys exactly one backpack and x notebooks, what is the maximum value of x she can afford? |
| sat-q-00052 | Heart of Algebra | Linear inequalities and systems of inequalities | A student has a budget of $24. Each notebook costs $6 and a backpack costs $18. If she buys exactly one backpack and x notebooks, what is the maximum value of x she can afford? |
| sat-q-00053 | Heart of Algebra | Linear inequalities and systems of inequalities | A student has a budget of $42. Each notebook costs $5 and a backpack costs $6. If she buys exactly one backpack and x notebooks, what is the maximum value of x she can afford? |
| sat-q-00059 | Passport to Advanced Math | Quadratic functions and equations | What is the sum of the solutions to the equation x² − 49 = 0? |
| sat-q-00060 | Passport to Advanced Math | Quadratic functions and equations | What is the sum of the solutions to the equation x² − 11x + 30 = 0? |
| sat-q-00061 | Passport to Advanced Math | Quadratic functions and equations | What is the sum of the solutions to the equation x² + 2x − 3 = 0? |
| sat-q-00065 | Passport to Advanced Math | Quadratic functions and equations | What is the sum of the solutions to the equation x² − 7x + 12 = 0? |
| sat-q-00066 | Passport to Advanced Math | Quadratic functions and equations | What is the sum of the solutions to the equation x² + 3x − 4 = 0? |
| sat-q-00067 | Passport to Advanced Math | Quadratic functions and equations | What is the sum of the solutions to the equation x² + 3x + 2 = 0? |
| sat-q-00073 | Passport to Advanced Math | Polynomial expressions and factoring | The polynomial p(x) has p(3) = 0. Which of the following must be a factor of p(x)? |
| sat-q-00074 | Passport to Advanced Math | Polynomial expressions and factoring | What is the sum of the solutions to the equation x² − 4x + 3 = 0? |
| sat-q-00075 | Passport to Advanced Math | Polynomial expressions and factoring | The polynomial p(x) has p(-2) = 0. Which of the following must be a factor of p(x)? |
| sat-q-00079 | Passport to Advanced Math | Polynomial expressions and factoring | The polynomial p(x) has p(5) = 0. Which of the following must be a factor of p(x)? |
| sat-q-00080 | Passport to Advanced Math | Polynomial expressions and factoring | What is the sum of the solutions to the equation x² + 5x + 6 = 0? |
| sat-q-00081 | Passport to Advanced Math | Polynomial expressions and factoring | The polynomial p(x) has p(5) = 0. Which of the following must be a factor of p(x)? |
| sat-q-00087 | Passport to Advanced Math | Rational expressions and equations | For what value of x is the expression (x + 7) / (x − 8) undefined? |
| sat-q-00088 | Passport to Advanced Math | Rational expressions and equations | For what value of x is the expression (x + 2) / (x − 2) undefined? |
| sat-q-00089 | Passport to Advanced Math | Rational expressions and equations | For what value of x is the expression (x + 4) / (x − 8) undefined? |
| sat-q-00093 | Passport to Advanced Math | Rational expressions and equations | For what value of x is the expression (x + 7) / (x − 8) undefined? |
| sat-q-00094 | Passport to Advanced Math | Rational expressions and equations | For what value of x is the expression (x + 5) / (x − 3) undefined? |
| sat-q-00095 | Passport to Advanced Math | Rational expressions and equations | For what value of x is the expression (x + 5) / (x − 1) undefined? |
| sat-q-00101 | Passport to Advanced Math | Exponential expressions and radicals | A town's population was 347 in 2020 and grew at a constant annual rate of 8% per year. Approximately what was the population 3 years later? |
| sat-q-00102 | Passport to Advanced Math | Exponential expressions and radicals | A town's population was 102 in 2020 and grew at a constant annual rate of 7% per year. Approximately what was the population 2 years later? |
| sat-q-00103 | Passport to Advanced Math | Exponential expressions and radicals | A town's population was 258 in 2020 and grew at a constant annual rate of 5% per year. Approximately what was the population 2 years later? |
| sat-q-00107 | Passport to Advanced Math | Exponential expressions and radicals | A town's population was 444 in 2020 and grew at a constant annual rate of 11% per year. Approximately what was the population 2 years later? |
| sat-q-00108 | Passport to Advanced Math | Exponential expressions and radicals | A town's population was 259 in 2020 and grew at a constant annual rate of 10% per year. Approximately what was the population 2 years later? |
| sat-q-00109 | Passport to Advanced Math | Exponential expressions and radicals | A town's population was 288 in 2020 and grew at a constant annual rate of 6% per year. Approximately what was the population 3 years later? |
| sat-q-00115 | Problem Solving & Data Analysis | Ratios, proportions, and units | A class has boys and girls in the ratio 5:3. If there are 24 students in the class, how many are boys? |
| sat-q-00116 | Problem Solving & Data Analysis | Ratios, proportions, and units | A class has boys and girls in the ratio 2:3. If there are 25 students in the class, how many are boys? |
| sat-q-00117 | Problem Solving & Data Analysis | Ratios, proportions, and units | A class has boys and girls in the ratio 4:7. If there are 121 students in the class, how many are boys? |
| sat-q-00121 | Problem Solving & Data Analysis | Ratios, proportions, and units | A class has boys and girls in the ratio 7:7. If there are 126 students in the class, how many are boys? |
| sat-q-00122 | Problem Solving & Data Analysis | Ratios, proportions, and units | A class has boys and girls in the ratio 5:5. If there are 70 students in the class, how many are boys? |
| sat-q-00123 | Problem Solving & Data Analysis | Ratios, proportions, and units | A class has boys and girls in the ratio 4:9. If there are 39 students in the class, how many are boys? |
| sat-q-00129 | Problem Solving & Data Analysis | Percentages and percent change | The price of an item increased from $59 to $78. What was the percent change? |
| sat-q-00130 | Problem Solving & Data Analysis | Percentages and percent change | The price of an item increased from $179 to $224. What was the percent change? |
| sat-q-00131 | Problem Solving & Data Analysis | Percentages and percent change | The price of an item decreased from $72 to $55. What was the percent change? |
| sat-q-00135 | Problem Solving & Data Analysis | Percentages and percent change | The price of an item increased from $114 to $149. What was the percent change? |
| sat-q-00136 | Problem Solving & Data Analysis | Percentages and percent change | The price of an item decreased from $155 to $133. What was the percent change? |
| sat-q-00137 | Problem Solving & Data Analysis | Percentages and percent change | The price of an item decreased from $189 to $161. What was the percent change? |
| sat-q-00143 | Problem Solving & Data Analysis | Mean, median, and standard deviation | The five values in a data set are 61, 58, 68, 64, 86. What is the mean? |
| sat-q-00144 | Problem Solving & Data Analysis | Mean, median, and standard deviation | The five values in a data set are 26, 34, 66, 88, 78. What is the mean? |
| sat-q-00145 | Problem Solving & Data Analysis | Mean, median, and standard deviation | The five values in a data set are 41, 52, 70, 81, 33. What is the mean? |
| sat-q-00149 | Problem Solving & Data Analysis | Mean, median, and standard deviation | The five values in a data set are 43, 55, 34, 80, 74. What is the mean? |
| sat-q-00150 | Problem Solving & Data Analysis | Mean, median, and standard deviation | The five values in a data set are 53, 16, 39, 25, 73. What is the mean? |
| sat-q-00151 | Problem Solving & Data Analysis | Mean, median, and standard deviation | The five values in a data set are 74, 21, 14, 25, 14. What is the mean? |
| sat-q-00157 | Problem Solving & Data Analysis | Scatterplots, tables, and probability | A bag contains 3 red marbles and 8 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| sat-q-00158 | Problem Solving & Data Analysis | Scatterplots, tables, and probability | The five values in a data set are 24, 67, 40, 52, 52. What is the mean? |
| sat-q-00159 | Problem Solving & Data Analysis | Scatterplots, tables, and probability | A bag contains 6 red marbles and 3 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| sat-q-00163 | Problem Solving & Data Analysis | Scatterplots, tables, and probability | A bag contains 3 red marbles and 4 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| sat-q-00164 | Problem Solving & Data Analysis | Scatterplots, tables, and probability | The five values in a data set are 42, 87, 82, 43, 80. What is the mean? |
| sat-q-00165 | Problem Solving & Data Analysis | Scatterplots, tables, and probability | A bag contains 7 red marbles and 6 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| sat-q-00171 | Additional Topics in Math | Right triangle trigonometry | In a right triangle, the two legs have lengths 3 and 4. What is the length of the hypotenuse? |
| sat-q-00172 | Additional Topics in Math | Right triangle trigonometry | What is the value of sin(30°)? |
| sat-q-00173 | Additional Topics in Math | Right triangle trigonometry | In a right triangle, the two legs have lengths 3 and 4. What is the length of the hypotenuse? |
| sat-q-00177 | Additional Topics in Math | Right triangle trigonometry | In a right triangle, the two legs have lengths 5 and 12. What is the length of the hypotenuse? |
| sat-q-00178 | Additional Topics in Math | Right triangle trigonometry | What is the value of sin(30°)? |
| sat-q-00179 | Additional Topics in Math | Right triangle trigonometry | In a right triangle, the two legs have lengths 3 and 4. What is the length of the hypotenuse? |
| sat-q-00185 | Additional Topics in Math | Circles, arcs, and sectors | A circle has radius 8. What is its area, in terms of π? |
| sat-q-00186 | Additional Topics in Math | Circles, arcs, and sectors | A circle has radius 7. What is its area, in terms of π? |
| sat-q-00187 | Additional Topics in Math | Circles, arcs, and sectors | A circle has radius 9. What is its area, in terms of π? |
| sat-q-00191 | Additional Topics in Math | Circles, arcs, and sectors | A circle has radius 5. What is its area, in terms of π? |
| sat-q-00192 | Additional Topics in Math | Circles, arcs, and sectors | A circle has radius 5. What is its area, in terms of π? |
| sat-q-00193 | Additional Topics in Math | Circles, arcs, and sectors | A circle has radius 7. What is its area, in terms of π? |
| sat-q-00199 | Additional Topics in Math | Volume and surface area | A cylinder has radius 2 and height 12. What is its volume, in terms of π? |
| sat-q-00200 | Additional Topics in Math | Volume and surface area | A cylinder has radius 3 and height 6. What is its volume, in terms of π? |
| sat-q-00201 | Additional Topics in Math | Volume and surface area | A cylinder has radius 3 and height 12. What is its volume, in terms of π? |
| sat-q-00205 | Additional Topics in Math | Volume and surface area | A cylinder has radius 2 and height 6. What is its volume, in terms of π? |
| sat-q-00206 | Additional Topics in Math | Volume and surface area | A cylinder has radius 3 and height 9. What is its volume, in terms of π? |
| sat-q-00207 | Additional Topics in Math | Volume and surface area | A cylinder has radius 2 and height 11. What is its volume, in terms of π? |
| sat-q-00213 | Additional Topics in Math | Complex numbers | If 2x + 12 = 18, what is the value of x? |
| sat-q-00214 | Additional Topics in Math | Complex numbers | If 2x + 3 = 17, what is the value of x? |
| sat-q-00215 | Additional Topics in Math | Complex numbers | If 2x − 4 = 4, what is the value of x? |
| sat-q-00219 | Additional Topics in Math | Complex numbers | If 7x + 2 = 44, what is the value of x? |
| sat-q-00220 | Additional Topics in Math | Complex numbers | If 9x − 7 = -88, what is the value of x? |
| sat-q-00221 | Additional Topics in Math | Complex numbers | If 3x + 1 = -2, what is the value of x? |
