| sat-q-00006 | Heart of Algebra | Linear equations in one variable | If 5x + 10 = 35, what is the value of x? |
| sat-q-00012 | Heart of Algebra | Linear equations in one variable | If 6x + 1 = 7, what is the value of x? |
| sat-q-00020 | Heart of Algebra | Linear functions and their graphs | What is the slope of the line passing through (2, -3) and (-3, -1)? |
| sat-q-00026 | Heart of Algebra | Linear functions and their graphs | What is the slope of the line passing through (-3, 1) and (5, -2)? |
| sat-q-00034 | Heart of Algebra | Systems of two linear equations | Consider the system of equations:
5x + 3y = -2
3x − 3y = -6
What is the value of x? |
| sat-q-00040 | Heart of Algebra | Systems of two linear equations | Consider the system of equations:
2x + 2y = -14
3x − 3y = -15
What is the value of x? |
| sat-q-00048 | Heart of Algebra | Linear inequalities and systems of inequalities | A student has a budget of $29. Each notebook costs $3 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-00054 | Heart of Algebra | Linear inequalities and systems of inequalities | A student has a budget of $37. Each notebook costs $2 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-00062 | Passport to Advanced Math | Quadratic functions and equations | What is the sum of the solutions to the equation x² − 1 = 0? |
| sat-q-00068 | Passport to Advanced Math | Quadratic functions and equations | What is the sum of the solutions to the equation x² + 1x − 12 = 0? |
| sat-q-00076 | Passport to Advanced Math | Polynomial expressions and factoring | What is the sum of the solutions to the equation x² + 6x − 7 = 0? |
| sat-q-00082 | Passport to Advanced Math | Polynomial expressions and factoring | What is the sum of the solutions to the equation x² − 12x + 35 = 0? |
| sat-q-00090 | Passport to Advanced Math | Rational expressions and equations | For what value of x is the expression (x + 2) / (x − 2) undefined? |
| sat-q-00096 | Passport to Advanced Math | Rational expressions and equations | For what value of x is the expression (x + 4) / (x − 1) undefined? |
| sat-q-00104 | Passport to Advanced Math | Exponential expressions and radicals | A town's population was 298 in 2020 and grew at a constant annual rate of 12% per year. Approximately what was the population 3 years later? |
| sat-q-00110 | Passport to Advanced Math | Exponential expressions and radicals | A town's population was 190 in 2020 and grew at a constant annual rate of 11% per year. Approximately what was the population 4 years later? |
| sat-q-00118 | Problem Solving & Data Analysis | Ratios, proportions, and units | A class has boys and girls in the ratio 9:6. If there are 150 students in the class, how many are boys? |
| sat-q-00124 | Problem Solving & Data Analysis | Ratios, proportions, and units | A class has boys and girls in the ratio 5:3. If there are 72 students in the class, how many are boys? |
| sat-q-00132 | Problem Solving & Data Analysis | Percentages and percent change | The price of an item decreased from $171 to $128. What was the percent change? |
| sat-q-00138 | Problem Solving & Data Analysis | Percentages and percent change | The price of an item increased from $85 to $99. What was the percent change? |
| sat-q-00146 | Problem Solving & Data Analysis | Mean, median, and standard deviation | The five values in a data set are 56, 82, 20, 86, 30. What is the mean? |
| sat-q-00152 | Problem Solving & Data Analysis | Mean, median, and standard deviation | The five values in a data set are 38, 55, 35, 14, 22. What is the mean? |
| sat-q-00160 | Problem Solving & Data Analysis | Scatterplots, tables, and probability | The five values in a data set are 47, 13, 89, 72, 44. What is the mean? |
| sat-q-00166 | Problem Solving & Data Analysis | Scatterplots, tables, and probability | The five values in a data set are 48, 35, 25, 55, 48. What is the mean? |
| sat-q-00174 | Additional Topics in Math | Right triangle trigonometry | What is the value of sin(45°)? |
| sat-q-00180 | Additional Topics in Math | Right triangle trigonometry | What is the value of sin(45°)? |
| sat-q-00188 | Additional Topics in Math | Circles, arcs, and sectors | A circle has radius 6. What is its area, in terms of π? |
| sat-q-00194 | Additional Topics in Math | Circles, arcs, and sectors | A circle has radius 3. What is its area, in terms of π? |
| sat-q-00202 | Additional Topics in Math | Volume and surface area | A cylinder has radius 8 and height 11. What is its volume, in terms of π? |
| sat-q-00208 | Additional Topics in Math | Volume and surface area | A cylinder has radius 6 and height 9. What is its volume, in terms of π? |
| sat-q-00216 | Additional Topics in Math | Complex numbers | If 7x + 1 = 57, what is the value of x? |
| sat-q-00222 | Additional Topics in Math | Complex numbers | If 2x + 3 = -17, what is the value of x? |
