ASVAB Math Knowledge Practice Test 151402 Results

Your Results Global Average
Questions 5 5
Correct 0 3.32
Score 0% 66%

Review

1

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

83% Answer Correctly

Odd

Last

First

Inside


Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.


2

Simplify (2a)(9ab) + (9a2)(8b).

65% Answer Correctly
-54a2b
90a2b
-54ab2
54ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(2a)(9ab) + (9a2)(8b)
(2 x 9)(a x a x b) + (9 x 8)(a2 x b)
(18)(a1+1 x b) + (72)(a2b)
18a2b + 72a2b
90a2b


3

Simplify (6a)(3ab) - (7a2)(2b).

62% Answer Correctly
-4ab2
4a2b
81ab2
32ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(6a)(3ab) - (7a2)(2b)
(6 x 3)(a x a x b) - (7 x 2)(a2 x b)
(18)(a1+1 x b) - (14)(a2b)
18a2b - 14a2b
4a2b


4

If c = 5 and z = 1, what is the value of 8c(c - z)?

68% Answer Correctly
35
-189
160
54

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

8c(c - z)
8(5)(5 - 1)
8(5)(4)
(40)(4)
160


5

The dimensions of this trapezoid are a = 5, b = 3, c = 7, d = 9, and h = 4. What is the area?

51% Answer Correctly
8
34
24
22\(\frac{1}{2}\)

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(3 + 9)(4)
a = ½(12)(4)
a = ½(48) = \( \frac{48}{2} \)
a = 24