SAT Math Practice Pack: 60 Practice Questions +
Answer Key
Created for independent study and exam preparation
Algebra
1. Solve for x: 3x + 7 = 25
2. Solve: 5x − 12 = 3x + 10
3. If 2x + y = 10 and x = 3, find y.
4. Solve: 4(x − 2) = 2x + 6
5. If f(x) = 2x + 5, find f(7).
6. Solve for x: x/3 + 5 = 9
7. If 6x − 4 = 2x + 16, find x.
8. Solve: 2(x + 4) = x + 10
9. If y = 3x − 2 and x = 6, find y.
10. Solve: 7x − 9 = 3x + 11
Linear Functions
11. Find the slope between (2,3) and (6,11).
12. Write the slope-intercept form of a line with slope 4 and y-intercept 2.
13. What is the slope of y = −3x + 7?
14. If a line passes through (0,5) and (2,9), what is the slope?
15. Find the y■intercept of y = 5x − 8.
16. If slope = 2 and point (1,3), find equation.
17. What is slope of line through (4,6) and (8,14)?
18. Convert: 2x + y = 7 into slope-intercept form.
19. Find slope of vertical line.
20. Find slope of horizontal line.
Quadratics
, 21. Factor: x² − 9
22. Factor: x² + 5x + 6
23. Solve: x² − 16 = 0
24. Factor: x² − 7x + 10
25. Solve: x² = 25
26. Factor: x² − x − 6
27. Solve: x² + 4x = 0
28. Factor: x² − 4x − 5
29. Solve: x² − 36 = 0
30. Factor: x² + 7x + 12
Geometry
31. Find area of triangle with base 10 and height 6.
32. Area of circle with radius 3 (use π).
33. Circumference of circle radius 4.
34. Sum of interior angles of triangle.
35. Hypotenuse if legs are 6 and 8.
36. Area of rectangle length 12 width 5.
37. Perimeter of square side 7.
38. Area of circle radius 5.
39. Volume of cube side 3.
40. Area of triangle base 8 height 4.
Data & Probability
41. Mean of: 2, 4, 6, 8.
42. Probability of rolling a 3 on a fair die.
43. Median of: 1, 3, 5, 7, 9.
44. Mean of: 5, 10, 15.
45. Probability of flipping heads.
46. Range of: 4, 9, 1, 6.
47. Median of: 3, 7, 8, 10.
48. Probability of drawing a heart from 52 cards.
Answer Key
Created for independent study and exam preparation
Algebra
1. Solve for x: 3x + 7 = 25
2. Solve: 5x − 12 = 3x + 10
3. If 2x + y = 10 and x = 3, find y.
4. Solve: 4(x − 2) = 2x + 6
5. If f(x) = 2x + 5, find f(7).
6. Solve for x: x/3 + 5 = 9
7. If 6x − 4 = 2x + 16, find x.
8. Solve: 2(x + 4) = x + 10
9. If y = 3x − 2 and x = 6, find y.
10. Solve: 7x − 9 = 3x + 11
Linear Functions
11. Find the slope between (2,3) and (6,11).
12. Write the slope-intercept form of a line with slope 4 and y-intercept 2.
13. What is the slope of y = −3x + 7?
14. If a line passes through (0,5) and (2,9), what is the slope?
15. Find the y■intercept of y = 5x − 8.
16. If slope = 2 and point (1,3), find equation.
17. What is slope of line through (4,6) and (8,14)?
18. Convert: 2x + y = 7 into slope-intercept form.
19. Find slope of vertical line.
20. Find slope of horizontal line.
Quadratics
, 21. Factor: x² − 9
22. Factor: x² + 5x + 6
23. Solve: x² − 16 = 0
24. Factor: x² − 7x + 10
25. Solve: x² = 25
26. Factor: x² − x − 6
27. Solve: x² + 4x = 0
28. Factor: x² − 4x − 5
29. Solve: x² − 36 = 0
30. Factor: x² + 7x + 12
Geometry
31. Find area of triangle with base 10 and height 6.
32. Area of circle with radius 3 (use π).
33. Circumference of circle radius 4.
34. Sum of interior angles of triangle.
35. Hypotenuse if legs are 6 and 8.
36. Area of rectangle length 12 width 5.
37. Perimeter of square side 7.
38. Area of circle radius 5.
39. Volume of cube side 3.
40. Area of triangle base 8 height 4.
Data & Probability
41. Mean of: 2, 4, 6, 8.
42. Probability of rolling a 3 on a fair die.
43. Median of: 1, 3, 5, 7, 9.
44. Mean of: 5, 10, 15.
45. Probability of flipping heads.
46. Range of: 4, 9, 1, 6.
47. Median of: 3, 7, 8, 10.
48. Probability of drawing a heart from 52 cards.
