| act-q-00230 | Pre-Algebra | Fractions, decimals, and integers | If 8x − 9 = 7, what is the value of x? |
| act-q-00236 | Pre-Algebra | Fractions, decimals, and integers | If 8x + 4 = -20, what is the value of x? |
| act-q-00244 | Pre-Algebra | Ratios, proportions, and percentages | The price of an item decreased from $111 to $75. What was the percent change? |
| act-q-00250 | Pre-Algebra | Ratios, proportions, and percentages | The price of an item decreased from $129 to $92. What was the percent change? |
| act-q-00258 | Pre-Algebra | Mean, median, mode, and range | The five values in a data set are 64, 66, 58, 54, 34. What is the mean? |
| act-q-00264 | Pre-Algebra | Mean, median, mode, and range | The five values in a data set are 27, 39, 68, 32, 64. What is the mean? |
| act-q-00272 | Pre-Algebra | Elementary probability | A bag contains 4 red marbles and 5 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| act-q-00278 | Pre-Algebra | Elementary 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? |
| act-q-00286 | Elementary Algebra | Single-variable linear equations | If 8x − 5 = 35, what is the value of x? |
| act-q-00292 | Elementary Algebra | Single-variable linear equations | If 8x + 1 = 49, what is the value of x? |
| act-q-00300 | Elementary Algebra | Polynomial addition and multiplication | What is the sum of the solutions to the equation x² − 5x = 0? |
| act-q-00306 | Elementary Algebra | Polynomial addition and multiplication | What is the sum of the solutions to the equation x² − 7x + 6 = 0? |
| act-q-00314 | Elementary Algebra | Substitution and evaluation | If f(x) = 3x² − 3, what is the value of f(6)? |
| act-q-00320 | Elementary Algebra | Substitution and evaluation | If f(x) = 5x² − 2, what is the value of f(6)? |
| act-q-00328 | Elementary Algebra | Absolute value equations and inequalities | What is the sum of all values of x that satisfy |x − 2| = 8? |
| act-q-00334 | Elementary Algebra | Absolute value equations and inequalities | What is the sum of all values of x that satisfy |x − 5| = 7? |
| act-q-00342 | Intermediate Algebra | Quadratic equations | What is the sum of the solutions to the equation x² + 1x = 0? |
| act-q-00348 | Intermediate Algebra | Quadratic equations | What is the sum of the solutions to the equation x² − 5x + 4 = 0? |
| act-q-00356 | Intermediate Algebra | Function notation and composition | If f(x) = 4x² − 5, what is the value of f(4)? |
| act-q-00362 | Intermediate Algebra | Function notation and composition | If f(x) = 2x² − 5, what is the value of f(5)? |
| act-q-00370 | Intermediate Algebra | Arithmetic and geometric sequences | An arithmetic sequence has first term 3 and common difference 2. What is the 19th term? |
| act-q-00376 | Intermediate Algebra | Arithmetic and geometric sequences | An arithmetic sequence has first term 6 and common difference 2. What is the 13th term? |
| act-q-00384 | Intermediate Algebra | Systems of equations and matrices | Consider the system of equations:
5x + 5y = -20
4x − 5y = -16
What is the value of x? |
| act-q-00390 | Intermediate Algebra | Systems of equations and matrices | Consider the system of equations:
5x + 1y = 23
5x − 2y = 14
What is the value of x? |
| act-q-00398 | Coordinate Geometry | Lines, slopes, and intercepts | What is the slope of the line passing through (5, 4) and (2, -4)? |
| act-q-00404 | Coordinate Geometry | Lines, slopes, and intercepts | What is the slope of the line passing through (5, -1) and (4, 4)? |
| act-q-00412 | Coordinate Geometry | Distance and midpoint | In a right triangle, the two legs have lengths 6 and 8. What is the length of the hypotenuse? |
| act-q-00418 | Coordinate Geometry | Distance and midpoint | In a right triangle, the two legs have lengths 9 and 12. What is the length of the hypotenuse? |
| act-q-00426 | Coordinate Geometry | Circles in the coordinate plane | A circle has radius 8. What is its area, in terms of π? |
| act-q-00432 | Coordinate Geometry | Circles in the coordinate plane | A circle has radius 5. What is its area, in terms of π? |
| act-q-00440 | Coordinate Geometry | Introduction to conics | A circle has radius 4. What is its area, in terms of π? |
| act-q-00446 | Coordinate Geometry | Introduction to conics | A circle has radius 12. What is its area, in terms of π? |
| act-q-00454 | Plane Geometry | Triangles and the Pythagorean theorem | In a right triangle, the two legs have lengths 8 and 15. What is the length of the hypotenuse? |
| act-q-00460 | Plane Geometry | Triangles and the Pythagorean theorem | In a right triangle, the two legs have lengths 5 and 12. What is the length of the hypotenuse? |
| act-q-00468 | Plane Geometry | Polygons, perimeter, and area | A circle has radius 12. What is its area, in terms of π? |
| act-q-00474 | Plane Geometry | Polygons, perimeter, and area | A circle has radius 9. What is its area, in terms of π? |
| act-q-00482 | Plane Geometry | Circles, arcs, and chords | A circle has radius 9. What is its area, in terms of π? |
| act-q-00488 | Plane Geometry | Circles, arcs, and chords | A circle has radius 8. What is its area, in terms of π? |
| act-q-00496 | Plane Geometry | Three-dimensional figures | A cylinder has radius 8 and height 12. What is its volume, in terms of π? |
| act-q-00502 | Plane Geometry | Three-dimensional figures | A cylinder has radius 5 and height 9. What is its volume, in terms of π? |
| act-q-00510 | Trigonometry | Right triangle trigonometry | What is the value of sin(60°)? |
| act-q-00516 | Trigonometry | Right triangle trigonometry | What is the value of sin(45°)? |
| act-q-00524 | Trigonometry | The unit circle and special angles | What is the value of sin(0°)? |
| act-q-00530 | Trigonometry | The unit circle and special angles | What is the value of sin(45°)? |
| act-q-00538 | Trigonometry | Basic trig identities | What is the value of sin(0°)? |
| act-q-00544 | Trigonometry | Basic trig identities | What is the value of sin(30°)? |
| act-q-00552 | Trigonometry | Graphs of sine and cosine | What is the value of sin(60°)? |
| act-q-00558 | Trigonometry | Graphs of sine and cosine | What is the value of sin(60°)? |
