ASVAB Math Knowledge Practice Test 627532 Results

Your Results Global Average
Questions 5 5
Correct 0 3.70
Score 0% 74%

Review

1

What is 7a + 2a?

81% Answer Correctly
9
9a
5
14a

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

7a + 2a = 9a


2

Solve for a:
a2 + 8a + 16 = 0

59% Answer Correctly
-4
3 or -8
-5 or -5
8 or -6

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

a2 + 8a + 16 = 0
(a + 4)(a + 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, (a + 4) must equal zero:

If (a + 4) = 0, a must equal -4

So the solution is that a = -4


3

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

62% Answer Correctly
-17a2b
40a2b
25a2b
17ab2

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)(2ab) - (3a2)(7b)
(2 x 2)(a x a x b) - (3 x 7)(a2 x b)
(4)(a1+1 x b) - (21)(a2b)
4a2b - 21a2b
-17a2b


4

What is 9a2 - 5a2?

74% Answer Correctly
14
4a2
14a4
45a2

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

9a2 - 5a2 = 4a2


5

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

91% Answer Correctly

addition

exponents

pairs

division


Solution

When solving an equation with two variables, 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.)