| sat-q-00001 | Heart of Algebra | Linear equations in one variable | If 7x − 2 = 26, what is the value of x? |
| sat-q-00002 | Heart of Algebra | Linear equations in one variable | If 5x + 9 = 54, what is the value of x? |
| sat-q-00007 | Heart of Algebra | Linear equations in one variable | If 3x + 8 = -19, what is the value of x? |
| sat-q-00008 | Heart of Algebra | Linear equations in one variable | If 2x − 1 = 11, what is the value of x? |
| sat-q-00013 | Heart of Algebra | Linear equations in one variable | If 3x − 8 = 4, what is the value of x? |
| sat-q-00014 | Heart of Algebra | Linear equations in one variable | If 4x + 0 = -40, what is the value of x? |
| sat-q-00015 | Heart of Algebra | Linear functions and their graphs | A bicycle rental company charges a flat fee of $27 plus $8 per hour. If C(h) represents the total cost in dollars for h hours, which of the following best represents C(h)? |
| sat-q-00016 | Heart of Algebra | Linear functions and their graphs | What is the slope of the line passing through (0, 1) and (-4, 1)? |
| sat-q-00021 | Heart of Algebra | Linear functions and their graphs | A bicycle rental company charges a flat fee of $64 plus $8 per hour. If C(h) represents the total cost in dollars for h hours, which of the following best represents C(h)? |
| sat-q-00022 | Heart of Algebra | Linear functions and their graphs | What is the slope of the line passing through (1, 3) and (0, 4)? |
| sat-q-00027 | 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-00028 | Heart of Algebra | Linear functions and their graphs | What is the slope of the line passing through (-4, -1) and (-3, -1)? |
| sat-q-00029 | Heart of Algebra | Systems of two linear equations | Consider the system of equations:
1x + 5y = 31
5x − 4y = 10
What is the value of x? |
| sat-q-00030 | Heart of Algebra | Systems of two linear equations | Consider the system of equations:
4x + 3y = -27
1x − 4y = 17
What is the value of x? |
| sat-q-00035 | Heart of Algebra | Systems of two linear equations | Consider the system of equations:
1x + 3y = 3
4x − 1y = -27
What is the value of x? |
| sat-q-00036 | Heart of Algebra | Systems of two linear equations | Consider the system of equations:
1x + 4y = 17
1x − 2y = -13
What is the value of x? |
| sat-q-00041 | Heart of Algebra | Systems of two linear equations | Consider the system of equations:
1x + 3y = -3
5x − 4y = -34
What is the value of x? |
| sat-q-00042 | Heart of Algebra | Systems of two linear equations | Consider the system of equations:
1x + 5y = -24
1x − 5y = 26
What is the value of x? |
| sat-q-00043 | Heart of Algebra | Linear inequalities and systems of inequalities | A student has a budget of $48. Each notebook costs $3 and a backpack costs $3. If she buys exactly one backpack and x notebooks, what is the maximum value of x she can afford? |
| sat-q-00044 | Heart of Algebra | Linear inequalities and systems of inequalities | A student has a budget of $26. Each notebook costs $5 and a backpack costs $4. If she buys exactly one backpack and x notebooks, what is the maximum value of x she can afford? |
| sat-q-00049 | Heart of Algebra | Linear inequalities and systems of inequalities | A student has a budget of $41. Each notebook costs $5 and a backpack costs $9. If she buys exactly one backpack and x notebooks, what is the maximum value of x she can afford? |
| sat-q-00050 | Heart of Algebra | Linear inequalities and systems of inequalities | A student has a budget of $53. Each notebook costs $3 and a backpack costs $7. If she buys exactly one backpack and x notebooks, what is the maximum value of x she can afford? |
| sat-q-00055 | Heart of Algebra | Linear inequalities and systems of inequalities | A student has a budget of $52. Each notebook costs $5 and a backpack costs $11. If she buys exactly one backpack and x notebooks, what is the maximum value of x she can afford? |
| sat-q-00056 | Heart of Algebra | Linear inequalities and systems of inequalities | A student has a budget of $49. Each notebook costs $7 and a backpack costs $10. If she buys exactly one backpack and x notebooks, what is the maximum value of x she can afford? |
| sat-q-00057 | Passport to Advanced Math | Quadratic functions and equations | What is the sum of the solutions to the equation x² + 11x + 30 = 0? |
| sat-q-00058 | Passport to Advanced Math | Quadratic functions and equations | What is the sum of the solutions to the equation x² + 2x = 0? |
| sat-q-00063 | Passport to Advanced Math | Quadratic functions and equations | What is the sum of the solutions to the equation x² − 16 = 0? |
| sat-q-00064 | Passport to Advanced Math | Quadratic functions and equations | What is the sum of the solutions to the equation x² − 16 = 0? |
| sat-q-00069 | Passport to Advanced Math | Quadratic functions and equations | What is the sum of the solutions to the equation x² + 3x + 2 = 0? |
| sat-q-00070 | Passport to Advanced Math | Quadratic functions and equations | What is the sum of the solutions to the equation x² − 5x + 6 = 0? |
| sat-q-00071 | 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-00072 | Passport to Advanced Math | Polynomial expressions and factoring | What is the sum of the solutions to the equation x² + 13x + 42 = 0? |
| sat-q-00077 | 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-00078 | Passport to Advanced Math | Polynomial expressions and factoring | What is the sum of the solutions to the equation x² + 5x + 4 = 0? |
| sat-q-00083 | 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-00084 | Passport to Advanced Math | Polynomial expressions and factoring | What is the sum of the solutions to the equation x² + 6x + 8 = 0? |
| sat-q-00085 | Passport to Advanced Math | Rational expressions and equations | For what value of x is the expression (x + 6) / (x − 8) undefined? |
| sat-q-00086 | Passport to Advanced Math | Rational expressions and equations | For what value of x is the expression (x + 2) / (x − 1) undefined? |
| sat-q-00091 | Passport to Advanced Math | Rational expressions and equations | For what value of x is the expression (x + 3) / (x − 2) undefined? |
| sat-q-00092 | Passport to Advanced Math | Rational expressions and equations | For what value of x is the expression (x + 7) / (x − 6) undefined? |
| sat-q-00097 | Passport to Advanced Math | Rational expressions and equations | For what value of x is the expression (x + 6) / (x − 8) undefined? |
| sat-q-00098 | Passport to Advanced Math | Rational expressions and equations | For what value of x is the expression (x + 2) / (x − 2) undefined? |
| sat-q-00099 | Passport to Advanced Math | Exponential expressions and radicals | A town's population was 60 in 2020 and grew at a constant annual rate of 9% per year. Approximately what was the population 2 years later? |
| sat-q-00100 | Passport to Advanced Math | Exponential expressions and radicals | A town's population was 349 in 2020 and grew at a constant annual rate of 6% per year. Approximately what was the population 4 years later? |
| sat-q-00105 | Passport to Advanced Math | Exponential expressions and radicals | A town's population was 477 in 2020 and grew at a constant annual rate of 5% per year. Approximately what was the population 3 years later? |
| sat-q-00106 | Passport to Advanced Math | Exponential expressions and radicals | A town's population was 125 in 2020 and grew at a constant annual rate of 2% per year. Approximately what was the population 4 years later? |
| sat-q-00111 | Passport to Advanced Math | Exponential expressions and radicals | A town's population was 98 in 2020 and grew at a constant annual rate of 10% per year. Approximately what was the population 6 years later? |
| sat-q-00112 | Passport to Advanced Math | Exponential expressions and radicals | A town's population was 304 in 2020 and grew at a constant annual rate of 11% per year. Approximately what was the population 4 years later? |
| sat-q-00113 | Problem Solving & Data Analysis | Ratios, proportions, and units | A class has boys and girls in the ratio 9:3. If there are 120 students in the class, how many are boys? |
| sat-q-00114 | Problem Solving & Data Analysis | Ratios, proportions, and units | A class has boys and girls in the ratio 9:2. If there are 33 students in the class, how many are boys? |
| sat-q-00119 | Problem Solving & Data Analysis | Ratios, proportions, and units | A class has boys and girls in the ratio 7:6. If there are 156 students in the class, how many are boys? |
| sat-q-00120 | Problem Solving & Data Analysis | Ratios, proportions, and units | A class has boys and girls in the ratio 8:7. If there are 105 students in the class, how many are boys? |
| sat-q-00125 | Problem Solving & Data Analysis | Ratios, proportions, and units | A class has boys and girls in the ratio 6:3. If there are 63 students in the class, how many are boys? |
| sat-q-00126 | Problem Solving & Data Analysis | Ratios, proportions, and units | A class has boys and girls in the ratio 8:8. If there are 96 students in the class, how many are boys? |
| sat-q-00127 | Problem Solving & Data Analysis | Percentages and percent change | The price of an item increased from $197 to $260. What was the percent change? |
| sat-q-00128 | Problem Solving & Data Analysis | Percentages and percent change | The price of an item increased from $48 to $62. What was the percent change? |
| sat-q-00133 | Problem Solving & Data Analysis | Percentages and percent change | The price of an item decreased from $151 to $139. What was the percent change? |
| sat-q-00134 | Problem Solving & Data Analysis | Percentages and percent change | The price of an item increased from $61 to $64. What was the percent change? |
| sat-q-00139 | Problem Solving & Data Analysis | Percentages and percent change | The price of an item decreased from $117 to $81. What was the percent change? |
| sat-q-00140 | Problem Solving & Data Analysis | Percentages and percent change | The price of an item decreased from $197 to $167. What was the percent change? |
| sat-q-00141 | Problem Solving & Data Analysis | Mean, median, and standard deviation | The five values in a data set are 46, 29, 69, 78, 50. What is the mean? |
| sat-q-00142 | Problem Solving & Data Analysis | Mean, median, and standard deviation | The five values in a data set are 81, 11, 89, 25, 55. What is the mean? |
| sat-q-00147 | Problem Solving & Data Analysis | Mean, median, and standard deviation | The five values in a data set are 56, 79, 67, 16, 18. What is the mean? |
| sat-q-00148 | Problem Solving & Data Analysis | Mean, median, and standard deviation | The five values in a data set are 23, 85, 55, 58, 28. What is the mean? |
| sat-q-00153 | Problem Solving & Data Analysis | Mean, median, and standard deviation | The five values in a data set are 57, 79, 36, 73, 23. What is the mean? |
| sat-q-00154 | Problem Solving & Data Analysis | Mean, median, and standard deviation | The five values in a data set are 32, 72, 75, 19, 64. What is the mean? |
| sat-q-00155 | Problem Solving & Data Analysis | Scatterplots, tables, and probability | A bag contains 2 red marbles and 4 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| sat-q-00156 | Problem Solving & Data Analysis | Scatterplots, tables, and probability | The five values in a data set are 72, 25, 20, 79, 81. What is the mean? |
| sat-q-00161 | Problem Solving & Data Analysis | Scatterplots, tables, and probability | A bag contains 5 red marbles and 5 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| sat-q-00162 | Problem Solving & Data Analysis | Scatterplots, tables, and probability | The five values in a data set are 15, 43, 76, 40, 19. What is the mean? |
| sat-q-00167 | Problem Solving & Data Analysis | Scatterplots, tables, and probability | A bag contains 8 red marbles and 5 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| sat-q-00168 | Problem Solving & Data Analysis | Scatterplots, tables, and probability | The five values in a data set are 36, 37, 40, 23, 85. What is the mean? |
| sat-q-00169 | Additional Topics in Math | Right triangle trigonometry | In a right triangle, the two legs have lengths 7 and 24. What is the length of the hypotenuse? |
| sat-q-00170 | Additional Topics in Math | Right triangle trigonometry | What is the value of sin(30°)? |
| sat-q-00175 | 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-00176 | Additional Topics in Math | Right triangle trigonometry | What is the value of sin(30°)? |
| sat-q-00181 | 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-00182 | Additional Topics in Math | Right triangle trigonometry | What is the value of sin(90°)? |
| sat-q-00183 | Additional Topics in Math | Circles, arcs, and sectors | A circle has radius 10. What is its area, in terms of π? |
| sat-q-00184 | Additional Topics in Math | Circles, arcs, and sectors | A circle has radius 8. What is its area, in terms of π? |
| sat-q-00189 | Additional Topics in Math | Circles, arcs, and sectors | A circle has radius 12. What is its area, in terms of π? |
| sat-q-00190 | Additional Topics in Math | Circles, arcs, and sectors | A circle has radius 8. What is its area, in terms of π? |
| sat-q-00195 | Additional Topics in Math | Circles, arcs, and sectors | A circle has radius 12. What is its area, in terms of π? |
| sat-q-00196 | Additional Topics in Math | Circles, arcs, and sectors | A circle has radius 9. What is its area, in terms of π? |
| sat-q-00197 | Additional Topics in Math | Volume and surface area | A cylinder has radius 4 and height 8. What is its volume, in terms of π? |
| sat-q-00198 | Additional Topics in Math | Volume and surface area | A cylinder has radius 7 and height 5. What is its volume, in terms of π? |
| sat-q-00203 | Additional Topics in Math | Volume and surface area | A cylinder has radius 7 and height 3. What is its volume, in terms of π? |
| sat-q-00204 | Additional Topics in Math | Volume and surface area | A cylinder has radius 2 and height 9. What is its volume, in terms of π? |
| sat-q-00209 | Additional Topics in Math | Volume and surface area | A cylinder has radius 7 and height 8. What is its volume, in terms of π? |
| sat-q-00210 | Additional Topics in Math | Volume and surface area | A cylinder has radius 5 and height 5. What is its volume, in terms of π? |
| sat-q-00211 | Additional Topics in Math | Complex numbers | If 4x + 8 = 0, what is the value of x? |
| sat-q-00212 | Additional Topics in Math | Complex numbers | If 2x − 8 = 10, what is the value of x? |
| sat-q-00217 | Additional Topics in Math | Complex numbers | If 3x − 12 = 9, what is the value of x? |
| sat-q-00218 | Additional Topics in Math | Complex numbers | If 8x + 1 = 81, what is the value of x? |
| sat-q-00223 | Additional Topics in Math | Complex numbers | If 9x − 7 = 74, what is the value of x? |
| sat-q-00224 | Additional Topics in Math | Complex numbers | If 3x − 11 = -23, what is the value of x? |
