MATH PLACEMENT COMPREHENSIVE EXAMS 2025/2026
QUESTIONS WITH ANSWERS TAGGED A+
✔✔Rewrite the expression (6 · c) · 12 - ✔✔
✔✔using the Associative Property. - ✔✔
✔✔5. - ✔✔
✔✔Simplify the following using proper - ✔✔
✔✔order of operations: - ✔✔
✔✔5(16 + 3) - 6´ 2 +1 - ✔✔
✔✔a) 179 - ✔✔
✔✔b) 84 - ✔✔
✔✔c) 155 - ✔✔
✔✔d) 267 - ✔✔
✔✔6. - ✔✔
✔✔Put the following integers in order from - ✔✔
✔✔greatest to least: - ✔✔
✔✔-3, 12, 9, -8, 13 - ✔✔
✔✔7. - ✔✔
✔✔Evaluate the following expression: - ✔✔
✔✔| -4 | + | 12 | - | -9 | - ✔✔
✔✔a) -17 - ✔✔
✔✔b) 25 - ✔✔
✔✔c) 1 - ✔✔
,✔✔d) 7 - ✔✔
✔✔8. - ✔✔
✔✔Simplify the following expression: - ✔✔
✔✔6(3x) - 2y + 3z + 12(4x) - 9y - ✔✔
✔✔a) 66x - 11y + 3z - ✔✔
✔✔b) 30x + 11y + 3z - ✔✔
✔✔c) 25x - 11y + 3z - ✔✔
✔✔d) cannot be simplified - ✔✔
✔✔9. - ✔✔
✔✔In which quadrant would the point - ✔✔
✔✔(9, -10) be located? - ✔✔
✔✔a) Quadrant 1 - ✔✔
✔✔b) Quadrant 2 - ✔✔
✔✔c) Quadrant 3 - ✔✔
✔✔d) Quadrant 4 - ✔✔
✔✔10. - ✔✔
✔✔Simplify the following: - ✔✔
✔✔3( x + 1 ) - 4( 2x - 5 ) + 10x - ✔✔
✔✔a) 5x - 32 - ✔✔
✔✔b) 21x + 23 - ✔✔
✔✔c) 5x + 23 - ✔✔
✔✔d) 5x - 17 - ✔✔
, ✔✔11. - ✔✔
✔✔Write and solve the equation to find the - ✔✔
✔✔value of x. - ✔✔
✔✔"The difference of a number x and ten - ✔✔
✔✔is negative four." - ✔✔
✔✔a) x + 10 = -4; x = 5 - ✔✔
✔✔b) x - 10 = -4; x = 6 - ✔✔
✔✔c) x - 10 = -4; x = -6 - ✔✔
✔✔d) x + 10 = -4; x = -5 - ✔✔
✔✔12. - ✔✔
✔✔Write and solve the equation to find the - ✔✔
✔✔value of x. - ✔✔
✔✔"The quotient of negative sixty and a - ✔✔
✔✔number x is four." - ✔✔
✔✔a) -60 * x = 4; x = 15 - ✔✔
✔✔b) -60 / x = 4; x = -15 - ✔✔
✔✔c) -60 * x = 4; x = -15 - ✔✔
✔✔d) -60 / x = 4; x = 15 - ✔✔
✔✔ - ✔✔
✔✔13. - ✔✔
✔✔Translate the following sentence into an - ✔✔
QUESTIONS WITH ANSWERS TAGGED A+
✔✔Rewrite the expression (6 · c) · 12 - ✔✔
✔✔using the Associative Property. - ✔✔
✔✔5. - ✔✔
✔✔Simplify the following using proper - ✔✔
✔✔order of operations: - ✔✔
✔✔5(16 + 3) - 6´ 2 +1 - ✔✔
✔✔a) 179 - ✔✔
✔✔b) 84 - ✔✔
✔✔c) 155 - ✔✔
✔✔d) 267 - ✔✔
✔✔6. - ✔✔
✔✔Put the following integers in order from - ✔✔
✔✔greatest to least: - ✔✔
✔✔-3, 12, 9, -8, 13 - ✔✔
✔✔7. - ✔✔
✔✔Evaluate the following expression: - ✔✔
✔✔| -4 | + | 12 | - | -9 | - ✔✔
✔✔a) -17 - ✔✔
✔✔b) 25 - ✔✔
✔✔c) 1 - ✔✔
,✔✔d) 7 - ✔✔
✔✔8. - ✔✔
✔✔Simplify the following expression: - ✔✔
✔✔6(3x) - 2y + 3z + 12(4x) - 9y - ✔✔
✔✔a) 66x - 11y + 3z - ✔✔
✔✔b) 30x + 11y + 3z - ✔✔
✔✔c) 25x - 11y + 3z - ✔✔
✔✔d) cannot be simplified - ✔✔
✔✔9. - ✔✔
✔✔In which quadrant would the point - ✔✔
✔✔(9, -10) be located? - ✔✔
✔✔a) Quadrant 1 - ✔✔
✔✔b) Quadrant 2 - ✔✔
✔✔c) Quadrant 3 - ✔✔
✔✔d) Quadrant 4 - ✔✔
✔✔10. - ✔✔
✔✔Simplify the following: - ✔✔
✔✔3( x + 1 ) - 4( 2x - 5 ) + 10x - ✔✔
✔✔a) 5x - 32 - ✔✔
✔✔b) 21x + 23 - ✔✔
✔✔c) 5x + 23 - ✔✔
✔✔d) 5x - 17 - ✔✔
, ✔✔11. - ✔✔
✔✔Write and solve the equation to find the - ✔✔
✔✔value of x. - ✔✔
✔✔"The difference of a number x and ten - ✔✔
✔✔is negative four." - ✔✔
✔✔a) x + 10 = -4; x = 5 - ✔✔
✔✔b) x - 10 = -4; x = 6 - ✔✔
✔✔c) x - 10 = -4; x = -6 - ✔✔
✔✔d) x + 10 = -4; x = -5 - ✔✔
✔✔12. - ✔✔
✔✔Write and solve the equation to find the - ✔✔
✔✔value of x. - ✔✔
✔✔"The quotient of negative sixty and a - ✔✔
✔✔number x is four." - ✔✔
✔✔a) -60 * x = 4; x = 15 - ✔✔
✔✔b) -60 / x = 4; x = -15 - ✔✔
✔✔c) -60 * x = 4; x = -15 - ✔✔
✔✔d) -60 / x = 4; x = 15 - ✔✔
✔✔ - ✔✔
✔✔13. - ✔✔
✔✔Translate the following sentence into an - ✔✔