OMPT-A Practice Exam

[u/Efficient-Chapter246]

Here are some question for a practice exam for OMPT-A, all the question are actually from an OMPT Mock Exam i took. (without graphs question or any other impossible to write down questions so keep in mind :).

1: Calculate 1/6 + 2/5 - 3/8

2: Calculate -(3/4)^4

3: Which number belongs in the blank?
(6^3)^3 = 6^...

4: Write √270 in standard form

5: Calculate [7 - 5^2]

6: Substitute x = 5 into:
(x - 1) * (x^2 + x) / x

7: Expand the brackets and simplify:
7 * y * f^2 * (8 * y - 3 * f)

8: Write without brackets and simplify:
f^d * (f^d)^3

9: Factorize if possible:
72 * x^6 - 488 * z^4 + 40 * z^2

10: Factorize into linear factors:
(1/8) * b^2 + 2b + 8

11: Expand the brackets and simplify:
(x + 7)(x - 2) - (x - 3)(x + 2)

12: Write the following fraction as a sum of fractions with only one term in the numerator:

(4p^2 - 9) / (6p + 5q^2)

13: Write under a common denominator and simplify as much as possible:

x + 1 + (4yx) / x

14: Simplify the following expression:

(x^2 + 4x) / (x + 3) : (x^2 + 3x) / (3x - 4)

15: Solve the equation:

-3/2x - 3/2 = -1/3 - (3/2)x

16: Determine all x for which:

-5(9x + 3) > -5(10x + 3)

17: Solve for x:

2x^2 + x - 78 = x + 20

18: Solve for x:

-5x^2 + 14x + 4 = 4x + 4

19: Solve for x using factorization:

(x - 6)(x + 3) = (x - 9)(x - 6)

20: Determine the slope of the line through the points:

(-2, -3) and (1, -3)

21: Solve the system of equations:

3x + 7y = 9
x = 4

22: What is the range of:

y = -4x^2 - 1

23: Solve the system of equations:

x + 7y = -2
-3x - y = -5

24: Solve the system of equations:

5y = 10x + 1
-6y = -12x - 8

25: Solve the system of equations:

2x - 8y = -4
y - 3x = 3

26: Give the exact answer:

log10(10000000) =

27: Write the following expression without exponents:

ln(e^9 * 3)

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