| act-q-00227 | Pre-Algebra | Fractions, decimals, and integers | If 3x + 4 = -23, what is the value of x? |
| act-q-00228 | Pre-Algebra | Fractions, decimals, and integers | If 9x + 1 = -89, what is the value of x? |
| act-q-00229 | Pre-Algebra | Fractions, decimals, and integers | If 7x + 2 = 72, what is the value of x? |
| act-q-00233 | Pre-Algebra | Fractions, decimals, and integers | If 7x − 1 = 69, what is the value of x? |
| act-q-00234 | Pre-Algebra | Fractions, decimals, and integers | If 7x − 1 = -64, what is the value of x? |
| act-q-00235 | Pre-Algebra | Fractions, decimals, and integers | If 9x − 9 = -18, what is the value of x? |
| act-q-00241 | Pre-Algebra | Ratios, proportions, and percentages | A class has boys and girls in the ratio 4:3. If there are 63 students in the class, how many are boys? |
| act-q-00242 | Pre-Algebra | Ratios, proportions, and percentages | The price of an item decreased from $81 to $72. What was the percent change? |
| act-q-00243 | Pre-Algebra | Ratios, proportions, and percentages | A class has boys and girls in the ratio 2:5. If there are 63 students in the class, how many are boys? |
| act-q-00247 | Pre-Algebra | Ratios, proportions, and percentages | A class has boys and girls in the ratio 2:9. If there are 132 students in the class, how many are boys? |
| act-q-00248 | Pre-Algebra | Ratios, proportions, and percentages | The price of an item increased from $140 to $185. What was the percent change? |
| act-q-00249 | Pre-Algebra | Ratios, proportions, and percentages | A class has boys and girls in the ratio 8:8. If there are 128 students in the class, how many are boys? |
| act-q-00255 | Pre-Algebra | Mean, median, mode, and range | The five values in a data set are 76, 69, 77, 49, 26. What is the mean? |
| act-q-00256 | Pre-Algebra | Mean, median, mode, and range | The five values in a data set are 60, 82, 53, 35, 31. What is the mean? |
| act-q-00257 | Pre-Algebra | Mean, median, mode, and range | The five values in a data set are 58, 31, 59, 78, 67. What is the mean? |
| act-q-00261 | Pre-Algebra | Mean, median, mode, and range | The five values in a data set are 70, 82, 90, 43, 56. What is the mean? |
| act-q-00262 | Pre-Algebra | Mean, median, mode, and range | The five values in a data set are 88, 78, 89, 31, 67. What is the mean? |
| act-q-00263 | Pre-Algebra | Mean, median, mode, and range | The five values in a data set are 42, 11, 45, 24, 34. What is the mean? |
| act-q-00269 | 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-00270 | Pre-Algebra | Elementary probability | A bag contains 7 red marbles and 7 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| act-q-00271 | Pre-Algebra | Elementary probability | A bag contains 9 red marbles and 7 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| act-q-00275 | Pre-Algebra | Elementary probability | A bag contains 2 red marbles and 7 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| act-q-00276 | Pre-Algebra | Elementary probability | A bag contains 9 red marbles and 7 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| act-q-00277 | Pre-Algebra | Elementary probability | A bag contains 3 red marbles and 6 blue marbles. If one marble is drawn at random, what is the probability that it is red? |
| act-q-00283 | Elementary Algebra | Single-variable linear equations | If 3x − 6 = 9, what is the value of x? |
| act-q-00284 | Elementary Algebra | Single-variable linear equations | If 6x − 9 = -33, what is the value of x? |
| act-q-00285 | Elementary Algebra | Single-variable linear equations | If 5x + 8 = 53, what is the value of x? |
| act-q-00289 | Elementary Algebra | Single-variable linear equations | If 3x − 3 = -27, what is the value of x? |
| act-q-00290 | Elementary Algebra | Single-variable linear equations | If 7x + 1 = -48, what is the value of x? |
| act-q-00291 | Elementary Algebra | Single-variable linear equations | If 4x − 5 = 11, what is the value of x? |
| act-q-00297 | Elementary Algebra | Polynomial addition and multiplication | What is the sum of the solutions to the equation x² + 7x + 12 = 0? |
| act-q-00298 | Elementary Algebra | Polynomial addition and multiplication | What is the sum of the solutions to the equation x² − 3x = 0? |
| act-q-00299 | Elementary Algebra | Polynomial addition and multiplication | What is the sum of the solutions to the equation x² + 1x − 20 = 0? |
| act-q-00303 | Elementary Algebra | Polynomial addition and multiplication | What is the sum of the solutions to the equation x² − 36 = 0? |
| act-q-00304 | Elementary Algebra | Polynomial addition and multiplication | What is the sum of the solutions to the equation x² − 1x − 2 = 0? |
| act-q-00305 | Elementary Algebra | Polynomial addition and multiplication | What is the sum of the solutions to the equation x² − 7x = 0? |
| act-q-00311 | Elementary Algebra | Substitution and evaluation | If f(x) = 2x² + 3, what is the value of f(6)? |
| act-q-00312 | Elementary Algebra | Substitution and evaluation | If f(x) = 4x² − 3, what is the value of f(-2)? |
| act-q-00313 | Elementary Algebra | Substitution and evaluation | If f(x) = 3x² − 1, what is the value of f(6)? |
| act-q-00317 | Elementary Algebra | Substitution and evaluation | If f(x) = 3x² − 4, what is the value of f(6)? |
| act-q-00318 | Elementary Algebra | Substitution and evaluation | If f(x) = 5x² − 2, what is the value of f(3)? |
| act-q-00319 | Elementary Algebra | Substitution and evaluation | If f(x) = 3x² + 1, what is the value of f(1)? |
| act-q-00325 | Elementary Algebra | Absolute value equations and inequalities | What is the sum of all values of x that satisfy |x − 6| = 5? |
| act-q-00326 | Elementary Algebra | Absolute value equations and inequalities | What is the sum of all values of x that satisfy |x − 1| = 7? |
| act-q-00327 | Elementary Algebra | Absolute value equations and inequalities | What is the sum of all values of x that satisfy |x − 3| = 5? |
| act-q-00331 | Elementary Algebra | Absolute value equations and inequalities | What is the sum of all values of x that satisfy |x − 2| = 6? |
| act-q-00332 | Elementary Algebra | Absolute value equations and inequalities | What is the sum of all values of x that satisfy |x − 1| = 2? |
| act-q-00333 | Elementary Algebra | Absolute value equations and inequalities | What is the sum of all values of x that satisfy |x − 4| = 7? |
| act-q-00339 | Intermediate Algebra | Quadratic equations | What is the sum of the solutions to the equation x² − 13x + 42 = 0? |
| act-q-00340 | Intermediate Algebra | Quadratic equations | What is the sum of the solutions to the equation x² − 7x + 12 = 0? |
| act-q-00341 | Intermediate Algebra | Quadratic equations | What is the sum of the solutions to the equation x² − 6x + 8 = 0? |
| act-q-00345 | Intermediate Algebra | Quadratic equations | What is the sum of the solutions to the equation x² − 2x − 15 = 0? |
| act-q-00346 | Intermediate Algebra | Quadratic equations | What is the sum of the solutions to the equation x² + 6x + 5 = 0? |
| act-q-00347 | Intermediate Algebra | Quadratic equations | What is the sum of the solutions to the equation x² − 5x + 4 = 0? |
| act-q-00353 | Intermediate Algebra | Function notation and composition | If f(x) = 5x² + 3, what is the value of f(6)? |
| act-q-00354 | Intermediate Algebra | Function notation and composition | If f(x) = 5x² + 2, what is the value of f(5)? |
| act-q-00355 | Intermediate Algebra | Function notation and composition | If f(x) = 3x² − 2, what is the value of f(-1)? |
| act-q-00359 | Intermediate Algebra | Function notation and composition | If f(x) = 2x² − 5, what is the value of f(3)? |
| act-q-00360 | Intermediate Algebra | Function notation and composition | If f(x) = 2x² − 4, what is the value of f(6)? |
| act-q-00361 | Intermediate Algebra | Function notation and composition | If f(x) = 5x² − 4, what is the value of f(-1)? |
| act-q-00367 | Intermediate Algebra | Arithmetic and geometric sequences | An arithmetic sequence has first term 9 and common difference 7. What is the 13th term? |
| act-q-00368 | Intermediate Algebra | Arithmetic and geometric sequences | An arithmetic sequence has first term 5 and common difference 7. What is the 11th term? |
| act-q-00369 | Intermediate Algebra | Arithmetic and geometric sequences | An arithmetic sequence has first term 5 and common difference 6. What is the 11th term? |
| act-q-00373 | Intermediate Algebra | Arithmetic and geometric sequences | An arithmetic sequence has first term 9 and common difference 4. What is the 16th term? |
| act-q-00374 | Intermediate Algebra | Arithmetic and geometric sequences | An arithmetic sequence has first term 10 and common difference 5. What is the 18th term? |
| act-q-00375 | Intermediate Algebra | Arithmetic and geometric sequences | An arithmetic sequence has first term 4 and common difference 4. What is the 9th term? |
| act-q-00381 | Intermediate Algebra | Systems of equations and matrices | Consider the system of equations:
3x + 4y = 19
1x − 1y = 4
What is the value of x? |
| act-q-00382 | Intermediate Algebra | Systems of equations and matrices | Consider the system of equations:
1x + 1y = -3
3x − 1y = -9
What is the value of x? |
| act-q-00383 | Intermediate Algebra | Systems of equations and matrices | Consider the system of equations:
5x + 3y = 3
1x − 1y = -9
What is the value of x? |
| act-q-00387 | Intermediate Algebra | Systems of equations and matrices | Consider the system of equations:
3x + 1y = 0
5x − 1y = 16
What is the value of x? |
| act-q-00388 | Intermediate Algebra | Systems of equations and matrices | Consider the system of equations:
1x + 4y = 4
3x − 5y = -5
What is the value of x? |
| act-q-00389 | Intermediate Algebra | Systems of equations and matrices | Consider the system of equations:
1x + 5y = 25
3x − 2y = 7
What is the value of x? |
| act-q-00395 | Coordinate Geometry | Lines, slopes, and intercepts | What is the slope of the line passing through (4, 0) and (5, 1)? |
| act-q-00396 | Coordinate Geometry | Lines, slopes, and intercepts | What is the slope of the line passing through (0, 0) and (-4, -1)? |
| act-q-00397 | Coordinate Geometry | Lines, slopes, and intercepts | What is the slope of the line passing through (-1, 3) and (-4, 3)? |
| act-q-00401 | Coordinate Geometry | Lines, slopes, and intercepts | What is the slope of the line passing through (-3, 3) and (-5, -5)? |
| act-q-00402 | Coordinate Geometry | Lines, slopes, and intercepts | What is the slope of the line passing through (4, -4) and (5, -3)? |
| act-q-00403 | Coordinate Geometry | Lines, slopes, and intercepts | What is the slope of the line passing through (0, 5) and (4, -2)? |
| act-q-00409 | Coordinate Geometry | Distance and midpoint | In a right triangle, the two legs have lengths 7 and 24. What is the length of the hypotenuse? |
| act-q-00410 | Coordinate Geometry | Distance and midpoint | In a right triangle, the two legs have lengths 7 and 24. What is the length of the hypotenuse? |
| act-q-00411 | 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-00415 | 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-00416 | Coordinate Geometry | Distance and midpoint | In a right triangle, the two legs have lengths 5 and 12. What is the length of the hypotenuse? |
| act-q-00417 | Coordinate Geometry | Distance and midpoint | In a right triangle, the two legs have lengths 7 and 24. What is the length of the hypotenuse? |
| act-q-00423 | Coordinate Geometry | Circles in the coordinate plane | A circle has radius 10. What is its area, in terms of π? |
| act-q-00424 | Coordinate Geometry | Circles in the coordinate plane | A circle has radius 3. What is its area, in terms of π? |
| act-q-00425 | Coordinate Geometry | Circles in the coordinate plane | A circle has radius 2. What is its area, in terms of π? |
| act-q-00429 | Coordinate Geometry | Circles in the coordinate plane | A circle has radius 9. What is its area, in terms of π? |
| act-q-00430 | Coordinate Geometry | Circles in the coordinate plane | A circle has radius 10. What is its area, in terms of π? |
| act-q-00431 | Coordinate Geometry | Circles in the coordinate plane | A circle has radius 11. What is its area, in terms of π? |
| act-q-00437 | Coordinate Geometry | Introduction to conics | A circle has radius 11. What is its area, in terms of π? |
| act-q-00438 | Coordinate Geometry | Introduction to conics | A circle has radius 4. What is its area, in terms of π? |
| act-q-00439 | Coordinate Geometry | Introduction to conics | A circle has radius 3. What is its area, in terms of π? |
| act-q-00443 | Coordinate Geometry | Introduction to conics | A circle has radius 5. What is its area, in terms of π? |
| act-q-00444 | Coordinate Geometry | Introduction to conics | A circle has radius 6. What is its area, in terms of π? |
| act-q-00445 | Coordinate Geometry | Introduction to conics | A circle has radius 5. What is its area, in terms of π? |
| act-q-00451 | Plane Geometry | Triangles and the Pythagorean theorem | In a right triangle, the two legs have lengths 7 and 24. What is the length of the hypotenuse? |
| act-q-00452 | 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-00453 | Plane Geometry | Triangles and the Pythagorean theorem | In a right triangle, the two legs have lengths 9 and 12. What is the length of the hypotenuse? |
| act-q-00457 | Plane Geometry | Triangles and the Pythagorean theorem | In a right triangle, the two legs have lengths 3 and 4. What is the length of the hypotenuse? |
| act-q-00458 | Plane Geometry | Triangles and the Pythagorean theorem | In a right triangle, the two legs have lengths 9 and 12. What is the length of the hypotenuse? |
| act-q-00459 | 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-00465 | Plane Geometry | Polygons, perimeter, and area | A circle has radius 7. What is its area, in terms of π? |
| act-q-00466 | Plane Geometry | Polygons, perimeter, and area | A circle has radius 10. What is its area, in terms of π? |
| act-q-00467 | Plane Geometry | Polygons, perimeter, and area | A circle has radius 4. What is its area, in terms of π? |
| act-q-00471 | Plane Geometry | Polygons, perimeter, and area | A circle has radius 10. What is its area, in terms of π? |
| act-q-00472 | Plane Geometry | Polygons, perimeter, and area | A circle has radius 7. What is its area, in terms of π? |
| act-q-00473 | Plane Geometry | Polygons, perimeter, and area | A circle has radius 6. What is its area, in terms of π? |
| act-q-00479 | Plane Geometry | Circles, arcs, and chords | A circle has radius 5. What is its area, in terms of π? |
| act-q-00480 | Plane Geometry | Circles, arcs, and chords | A circle has radius 7. What is its area, in terms of π? |
| act-q-00481 | Plane Geometry | Circles, arcs, and chords | A circle has radius 3. What is its area, in terms of π? |
| act-q-00485 | Plane Geometry | Circles, arcs, and chords | A circle has radius 4. What is its area, in terms of π? |
| act-q-00486 | Plane Geometry | Circles, arcs, and chords | A circle has radius 9. What is its area, in terms of π? |
| act-q-00487 | Plane Geometry | Circles, arcs, and chords | A circle has radius 6. What is its area, in terms of π? |
| act-q-00493 | Plane Geometry | Three-dimensional figures | A cylinder has radius 7 and height 6. What is its volume, in terms of π? |
| act-q-00494 | Plane Geometry | Three-dimensional figures | A cylinder has radius 5 and height 12. What is its volume, in terms of π? |
| act-q-00495 | Plane Geometry | Three-dimensional figures | A cylinder has radius 3 and height 6. What is its volume, in terms of π? |
| act-q-00499 | Plane Geometry | Three-dimensional figures | A cylinder has radius 3 and height 8. What is its volume, in terms of π? |
| act-q-00500 | Plane Geometry | Three-dimensional figures | A cylinder has radius 3 and height 4. What is its volume, in terms of π? |
| act-q-00501 | Plane Geometry | Three-dimensional figures | A cylinder has radius 5 and height 10. What is its volume, in terms of π? |
| act-q-00507 | Trigonometry | Right triangle trigonometry | In a right triangle, the two legs have lengths 5 and 12. What is the length of the hypotenuse? |
| act-q-00508 | Trigonometry | Right triangle trigonometry | What is the value of sin(45°)? |
| act-q-00509 | Trigonometry | Right triangle trigonometry | In a right triangle, the two legs have lengths 9 and 12. What is the length of the hypotenuse? |
| act-q-00513 | 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-00514 | Trigonometry | Right triangle trigonometry | What is the value of sin(0°)? |
| act-q-00515 | 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-00521 | Trigonometry | The unit circle and special angles | What is the value of sin(30°)? |
| act-q-00522 | Trigonometry | The unit circle and special angles | What is the value of sin(90°)? |
| act-q-00523 | Trigonometry | The unit circle and special angles | What is the value of sin(0°)? |
| act-q-00527 | Trigonometry | The unit circle and special angles | What is the value of sin(60°)? |
| act-q-00528 | Trigonometry | The unit circle and special angles | What is the value of sin(45°)? |
| act-q-00529 | Trigonometry | The unit circle and special angles | What is the value of sin(90°)? |
| act-q-00535 | Trigonometry | Basic trig identities | What is the value of sin(45°)? |
| act-q-00536 | Trigonometry | Basic trig identities | What is the value of sin(30°)? |
| act-q-00537 | Trigonometry | Basic trig identities | What is the value of sin(60°)? |
| act-q-00541 | Trigonometry | Basic trig identities | What is the value of sin(60°)? |
| act-q-00542 | Trigonometry | Basic trig identities | What is the value of sin(90°)? |
| act-q-00543 | Trigonometry | Basic trig identities | What is the value of sin(45°)? |
| act-q-00549 | Trigonometry | Graphs of sine and cosine | What is the value of sin(45°)? |
| act-q-00550 | Trigonometry | Graphs of sine and cosine | What is the value of sin(0°)? |
| act-q-00551 | Trigonometry | Graphs of sine and cosine | What is the value of sin(60°)? |
| act-q-00555 | Trigonometry | Graphs of sine and cosine | What is the value of sin(90°)? |
| act-q-00556 | Trigonometry | Graphs of sine and cosine | What is the value of sin(60°)? |
| act-q-00557 | Trigonometry | Graphs of sine and cosine | What is the value of sin(0°)? |
