| act-q-00225 | Pre-Algebra | Fractions, decimals, and integers | If 8x − 5 = -21, what is the value of x? |
| act-q-00226 | Pre-Algebra | Fractions, decimals, and integers | If 5x + 10 = 15, what is the value of x? |
| act-q-00231 | Pre-Algebra | Fractions, decimals, and integers | If 6x + 11 = 47, what is the value of x? |
| act-q-00232 | Pre-Algebra | Fractions, decimals, and integers | If 4x + 8 = 8, what is the value of x? |
| act-q-00237 | Pre-Algebra | Fractions, decimals, and integers | If 9x − 2 = -29, what is the value of x? |
| act-q-00238 | Pre-Algebra | Fractions, decimals, and integers | If 9x + 1 = 82, what is the value of x? |
| act-q-00239 | Pre-Algebra | Ratios, proportions, and percentages | A class has boys and girls in the ratio 6:8. If there are 84 students in the class, how many are boys? |
| act-q-00240 | Pre-Algebra | Ratios, proportions, and percentages | The price of an item increased from $50 to $56. What was the percent change? |
| act-q-00245 | Pre-Algebra | Ratios, proportions, and percentages | A class has boys and girls in the ratio 3:9. If there are 108 students in the class, how many are boys? |
| act-q-00246 | Pre-Algebra | Ratios, proportions, and percentages | The price of an item increased from $103 to $128. What was the percent change? |
| act-q-00251 | Pre-Algebra | Ratios, proportions, and percentages | A class has boys and girls in the ratio 6:7. If there are 130 students in the class, how many are boys? |
| act-q-00252 | Pre-Algebra | Ratios, proportions, and percentages | The price of an item increased from $100 to $106. What was the percent change? |
| act-q-00253 | Pre-Algebra | Mean, median, mode, and range | The five values in a data set are 82, 46, 30, 33, 85. What is the mean? |
| act-q-00254 | Pre-Algebra | Mean, median, mode, and range | The five values in a data set are 19, 45, 87, 23, 27. What is the mean? |
| act-q-00259 | Pre-Algebra | Mean, median, mode, and range | The five values in a data set are 15, 74, 61, 82, 15. What is the mean? |
| act-q-00260 | Pre-Algebra | Mean, median, mode, and range | The five values in a data set are 88, 63, 49, 37, 71. What is the mean? |
| act-q-00265 | Pre-Algebra | Mean, median, mode, and range | The five values in a data set are 26, 43, 81, 35, 14. What is the mean? |
| act-q-00266 | Pre-Algebra | Mean, median, mode, and range | The five values in a data set are 84, 81, 27, 41, 24. What is the mean? |
| act-q-00267 | Pre-Algebra | Elementary probability | A bag contains 4 red marbles and 3 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| act-q-00268 | Pre-Algebra | Elementary probability | A bag contains 8 red marbles and 3 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| act-q-00273 | Pre-Algebra | Elementary probability | A bag contains 6 red marbles and 8 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| act-q-00274 | Pre-Algebra | Elementary 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? |
| act-q-00279 | Pre-Algebra | Elementary probability | A bag contains 8 red marbles and 6 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| act-q-00280 | 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-00281 | Elementary Algebra | Single-variable linear equations | If 3x + 5 = 14, what is the value of x? |
| act-q-00282 | Elementary Algebra | Single-variable linear equations | If 3x + 8 = -10, what is the value of x? |
| act-q-00287 | Elementary Algebra | Single-variable linear equations | If 7x − 11 = -4, what is the value of x? |
| act-q-00288 | Elementary Algebra | Single-variable linear equations | If 4x + 0 = -36, what is the value of x? |
| act-q-00293 | Elementary Algebra | Single-variable linear equations | If 2x − 2 = -16, what is the value of x? |
| act-q-00294 | Elementary Algebra | Single-variable linear equations | If 7x − 11 = -11, what is the value of x? |
| act-q-00295 | Elementary Algebra | Polynomial addition and multiplication | What is the sum of the solutions to the equation x² + 9x + 14 = 0? |
| act-q-00296 | Elementary Algebra | Polynomial addition and multiplication | What is the sum of the solutions to the equation x² − 3x + 2 = 0? |
| act-q-00301 | Elementary Algebra | Polynomial addition and multiplication | What is the sum of the solutions to the equation x² − 6x − 7 = 0? |
| act-q-00302 | Elementary Algebra | Polynomial addition and multiplication | What is the sum of the solutions to the equation x² − 9x + 20 = 0? |
| act-q-00307 | Elementary Algebra | Polynomial addition and multiplication | What is the sum of the solutions to the equation x² − 8x + 12 = 0? |
| act-q-00308 | Elementary Algebra | Polynomial addition and multiplication | What is the sum of the solutions to the equation x² + 5x = 0? |
| act-q-00309 | Elementary Algebra | Substitution and evaluation | If f(x) = 4x² − 2, what is the value of f(5)? |
| act-q-00310 | Elementary Algebra | Substitution and evaluation | If f(x) = 3x² + 4, what is the value of f(-3)? |
| act-q-00315 | Elementary Algebra | Substitution and evaluation | If f(x) = 2x² + 3, what is the value of f(-1)? |
| act-q-00316 | Elementary Algebra | Substitution and evaluation | If f(x) = 3x² − 2, what is the value of f(5)? |
| act-q-00321 | Elementary Algebra | Substitution and evaluation | If f(x) = 5x² − 4, what is the value of f(5)? |
| act-q-00322 | Elementary Algebra | Substitution and evaluation | If f(x) = 3x² − 3, what is the value of f(6)? |
| act-q-00323 | Elementary Algebra | Absolute value equations and inequalities | What is the sum of all values of x that satisfy |x − 2| = 4? |
| act-q-00324 | Elementary Algebra | Absolute value equations and inequalities | What is the sum of all values of x that satisfy |x − 6| = 8? |
| act-q-00329 | Elementary Algebra | Absolute value equations and inequalities | What is the sum of all values of x that satisfy |x − 3| = 6? |
| act-q-00330 | Elementary Algebra | Absolute value equations and inequalities | What is the sum of all values of x that satisfy |x − 1| = 7? |
| act-q-00335 | Elementary Algebra | Absolute value equations and inequalities | What is the sum of all values of x that satisfy |x − 3| = 7? |
| act-q-00336 | Elementary Algebra | Absolute value equations and inequalities | What is the sum of all values of x that satisfy |x − 6| = 5? |
| act-q-00337 | Intermediate Algebra | Quadratic equations | What is the sum of the solutions to the equation x² + 2x − 15 = 0? |
| act-q-00338 | Intermediate Algebra | Quadratic equations | What is the sum of the solutions to the equation x² − 13x + 42 = 0? |
| act-q-00343 | Intermediate Algebra | Quadratic equations | What is the sum of the solutions to the equation x² − 1x = 0? |
| act-q-00344 | Intermediate Algebra | Quadratic equations | What is the sum of the solutions to the equation x² + 6x + 5 = 0? |
| act-q-00349 | Intermediate Algebra | Quadratic equations | What is the sum of the solutions to the equation x² − 16 = 0? |
| act-q-00350 | Intermediate Algebra | Quadratic equations | What is the sum of the solutions to the equation x² − 3x − 18 = 0? |
| act-q-00351 | Intermediate Algebra | Function notation and composition | If f(x) = 4x² − 1, what is the value of f(-1)? |
| act-q-00352 | Intermediate Algebra | Function notation and composition | If f(x) = 2x² + 1, what is the value of f(6)? |
| act-q-00357 | Intermediate Algebra | Function notation and composition | If f(x) = 2x² + 5, what is the value of f(-2)? |
| act-q-00358 | Intermediate Algebra | Function notation and composition | If f(x) = 3x² + 4, what is the value of f(3)? |
| act-q-00363 | Intermediate Algebra | Function notation and composition | If f(x) = 3x² + 5, what is the value of f(-3)? |
| act-q-00364 | Intermediate Algebra | Function notation and composition | If f(x) = 5x² + 1, what is the value of f(-2)? |
| act-q-00365 | Intermediate Algebra | Arithmetic and geometric sequences | An arithmetic sequence has first term 8 and common difference 2. What is the 17th term? |
| act-q-00366 | Intermediate Algebra | Arithmetic and geometric sequences | An arithmetic sequence has first term 2 and common difference 4. What is the 12th term? |
| act-q-00371 | Intermediate Algebra | Arithmetic and geometric sequences | An arithmetic sequence has first term 6 and common difference 3. What is the 18th term? |
| act-q-00372 | Intermediate Algebra | Arithmetic and geometric sequences | An arithmetic sequence has first term 2 and common difference 8. What is the 13th term? |
| act-q-00377 | Intermediate Algebra | Arithmetic and geometric sequences | An arithmetic sequence has first term 10 and common difference 6. What is the 16th term? |
| act-q-00378 | Intermediate Algebra | Arithmetic and geometric sequences | An arithmetic sequence has first term 9 and common difference 4. What is the 8th term? |
| act-q-00379 | Intermediate Algebra | Systems of equations and matrices | Consider the system of equations:
4x + 4y = -8
4x − 2y = 28
What is the value of x? |
| act-q-00380 | Intermediate Algebra | Systems of equations and matrices | Consider the system of equations:
1x + 4y = -26
3x − 3y = 12
What is the value of x? |
| act-q-00385 | Intermediate Algebra | Systems of equations and matrices | Consider the system of equations:
4x + 1y = -8
5x − 3y = 7
What is the value of x? |
| act-q-00386 | Intermediate Algebra | Systems of equations and matrices | Consider the system of equations:
5x + 4y = 41
5x − 5y = 5
What is the value of x? |
| act-q-00391 | Intermediate Algebra | Systems of equations and matrices | Consider the system of equations:
4x + 5y = 16
2x − 2y = 8
What is the value of x? |
| act-q-00392 | Intermediate Algebra | Systems of equations and matrices | Consider the system of equations:
5x + 2y = -14
2x − 4y = 4
What is the value of x? |
| act-q-00393 | Coordinate Geometry | Lines, slopes, and intercepts | What is the slope of the line passing through (5, 3) and (-3, -4)? |
| act-q-00394 | Coordinate Geometry | Lines, slopes, and intercepts | What is the slope of the line passing through (-1, 5) and (-5, 0)? |
| act-q-00399 | Coordinate Geometry | Lines, slopes, and intercepts | What is the slope of the line passing through (4, 0) and (-4, -3)? |
| act-q-00400 | Coordinate Geometry | Lines, slopes, and intercepts | What is the slope of the line passing through (-2, -1) and (-5, -4)? |
| act-q-00405 | Coordinate Geometry | Lines, slopes, and intercepts | What is the slope of the line passing through (-4, 0) and (1, -5)? |
| act-q-00406 | Coordinate Geometry | Lines, slopes, and intercepts | What is the slope of the line passing through (0, 4) and (-4, 3)? |
| act-q-00407 | 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-00408 | Coordinate Geometry | Distance and midpoint | In a right triangle, the two legs have lengths 8 and 15. What is the length of the hypotenuse? |
| act-q-00413 | 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-00414 | 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-00419 | Coordinate Geometry | Distance and midpoint | In a right triangle, the two legs have lengths 3 and 4. What is the length of the hypotenuse? |
| act-q-00420 | 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-00421 | Coordinate Geometry | Circles in the coordinate plane | A circle has radius 11. What is its area, in terms of π? |
| act-q-00422 | Coordinate Geometry | Circles in the coordinate plane | A circle has radius 3. What is its area, in terms of π? |
| act-q-00427 | Coordinate Geometry | Circles in the coordinate plane | A circle has radius 3. What is its area, in terms of π? |
| act-q-00428 | Coordinate Geometry | Circles in the coordinate plane | A circle has radius 12. What is its area, in terms of π? |
| act-q-00433 | Coordinate Geometry | Circles in the coordinate plane | A circle has radius 7. What is its area, in terms of π? |
| act-q-00434 | Coordinate Geometry | Circles in the coordinate plane | A circle has radius 4. What is its area, in terms of π? |
| act-q-00435 | Coordinate Geometry | Introduction to conics | A circle has radius 8. What is its area, in terms of π? |
| act-q-00436 | Coordinate Geometry | Introduction to conics | A circle has radius 3. What is its area, in terms of π? |
| act-q-00441 | Coordinate Geometry | Introduction to conics | A circle has radius 12. What is its area, in terms of π? |
| act-q-00442 | Coordinate Geometry | Introduction to conics | A circle has radius 6. What is its area, in terms of π? |
| act-q-00447 | Coordinate Geometry | Introduction to conics | A circle has radius 7. What is its area, in terms of π? |
| act-q-00448 | Coordinate Geometry | Introduction to conics | A circle has radius 4. What is its area, in terms of π? |
| act-q-00449 | Plane Geometry | Triangles and the Pythagorean theorem | In a right triangle, the two legs have lengths 6 and 8. What is the length of the hypotenuse? |
| act-q-00450 | Plane Geometry | Triangles and the Pythagorean theorem | In a right triangle, the two legs have lengths 6 and 8. What is the length of the hypotenuse? |
| act-q-00455 | 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-00456 | 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-00461 | Plane Geometry | Triangles and the Pythagorean theorem | In a right triangle, the two legs have lengths 6 and 8. What is the length of the hypotenuse? |
| act-q-00462 | Plane Geometry | Triangles and the Pythagorean theorem | In a right triangle, the two legs have lengths 6 and 8. What is the length of the hypotenuse? |
| act-q-00463 | Plane Geometry | Polygons, perimeter, and area | A circle has radius 6. What is its area, in terms of π? |
| act-q-00464 | Plane Geometry | Polygons, perimeter, and area | A circle has radius 12. What is its area, in terms of π? |
| act-q-00469 | Plane Geometry | Polygons, perimeter, and area | A circle has radius 2. What is its area, in terms of π? |
| act-q-00470 | Plane Geometry | Polygons, perimeter, and area | A circle has radius 8. What is its area, in terms of π? |
| act-q-00475 | Plane Geometry | Polygons, perimeter, and area | A circle has radius 9. What is its area, in terms of π? |
| act-q-00476 | Plane Geometry | Polygons, perimeter, and area | A circle has radius 6. What is its area, in terms of π? |
| act-q-00477 | Plane Geometry | Circles, arcs, and chords | A circle has radius 2. What is its area, in terms of π? |
| act-q-00478 | Plane Geometry | Circles, arcs, and chords | A circle has radius 8. What is its area, in terms of π? |
| act-q-00483 | Plane Geometry | Circles, arcs, and chords | A circle has radius 8. What is its area, in terms of π? |
| act-q-00484 | Plane Geometry | Circles, arcs, and chords | A circle has radius 4. What is its area, in terms of π? |
| act-q-00489 | Plane Geometry | Circles, arcs, and chords | A circle has radius 9. What is its area, in terms of π? |
| act-q-00490 | Plane Geometry | Circles, arcs, and chords | A circle has radius 7. What is its area, in terms of π? |
| act-q-00491 | Plane Geometry | Three-dimensional figures | A cylinder has radius 3 and height 5. What is its volume, in terms of π? |
| act-q-00492 | Plane Geometry | Three-dimensional figures | A cylinder has radius 3 and height 10. What is its volume, in terms of π? |
| act-q-00497 | Plane Geometry | Three-dimensional figures | A cylinder has radius 8 and height 8. What is its volume, in terms of π? |
| act-q-00498 | Plane Geometry | Three-dimensional figures | A cylinder has radius 8 and height 6. What is its volume, in terms of π? |
| act-q-00503 | Plane Geometry | Three-dimensional figures | A cylinder has radius 7 and height 6. What is its volume, in terms of π? |
| act-q-00504 | Plane Geometry | Three-dimensional figures | A cylinder has radius 3 and height 4. What is its volume, in terms of π? |
| act-q-00505 | Trigonometry | Right triangle trigonometry | In a right triangle, the two legs have lengths 3 and 4. What is the length of the hypotenuse? |
| act-q-00506 | Trigonometry | Right triangle trigonometry | What is the value of sin(45°)? |
| act-q-00511 | Trigonometry | Right triangle trigonometry | In a right triangle, the two legs have lengths 7 and 24. What is the length of the hypotenuse? |
| act-q-00512 | Trigonometry | Right triangle trigonometry | What is the value of sin(0°)? |
| act-q-00517 | Trigonometry | Right triangle trigonometry | In a right triangle, the two legs have lengths 6 and 8. What is the length of the hypotenuse? |
| act-q-00518 | Trigonometry | Right triangle trigonometry | What is the value of sin(60°)? |
| act-q-00519 | Trigonometry | The unit circle and special angles | What is the value of sin(0°)? |
| act-q-00520 | Trigonometry | The unit circle and special angles | What is the value of sin(90°)? |
| act-q-00525 | Trigonometry | The unit circle and special angles | What is the value of sin(0°)? |
| act-q-00526 | Trigonometry | The unit circle and special angles | What is the value of sin(90°)? |
| act-q-00531 | Trigonometry | The unit circle and special angles | What is the value of sin(90°)? |
| act-q-00532 | Trigonometry | The unit circle and special angles | What is the value of sin(90°)? |
| act-q-00533 | Trigonometry | Basic trig identities | What is the value of sin(90°)? |
| act-q-00534 | Trigonometry | Basic trig identities | What is the value of sin(60°)? |
| act-q-00539 | Trigonometry | Basic trig identities | What is the value of sin(0°)? |
| act-q-00540 | Trigonometry | Basic trig identities | What is the value of sin(45°)? |
| act-q-00545 | Trigonometry | Basic trig identities | What is the value of sin(45°)? |
| act-q-00546 | Trigonometry | Basic trig identities | What is the value of sin(60°)? |
| act-q-00547 | Trigonometry | Graphs of sine and cosine | What is the value of sin(30°)? |
| act-q-00548 | Trigonometry | Graphs of sine and cosine | What is the value of sin(30°)? |
| act-q-00553 | Trigonometry | Graphs of sine and cosine | What is the value of sin(30°)? |
| act-q-00554 | Trigonometry | Graphs of sine and cosine | What is the value of sin(45°)? |
| act-q-00559 | Trigonometry | Graphs of sine and cosine | What is the value of sin(45°)? |
| act-q-00560 | Trigonometry | Graphs of sine and cosine | What is the value of sin(60°)? |
