ASVAB Math Knowledge Practice Test 802048 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

Find the value of b:
-6b + z = -4
-3b - 2z = -5

41% Answer Correctly
-1\(\frac{1}{40}\)
8\(\frac{1}{2}\)
\(\frac{13}{15}\)
33

Solution

You need to find the value of b so solve the first equation in terms of z:

-6b + z = -4
z = -4 + 6b

then substitute the result (-4 - -6b) into the second equation:

-3b - 2(-4 + 6b) = -5
-3b + (-2 x -4) + (-2 x 6b) = -5
-3b + 8 - 12b = -5
-3b - 12b = -5 - 8
-15b = -13
b = \( \frac{-13}{-15} \)
b = \(\frac{13}{15}\)


2

The dimensions of this cube are height (h) = 7, length (l) = 3, and width (w) = 8. What is the volume?

82% Answer Correctly
16
168
49
5

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 7 x 3 x 8
v = 168


3

Solve for a:
-5a - 6 > -3 - 9a

54% Answer Correctly
a > \(\frac{1}{6}\)
a > \(\frac{3}{4}\)
a > 9
a > -\(\frac{1}{2}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

-5a - 6 > -3 - 9a
-5a > -3 - 9a + 6
-5a + 9a > -3 + 6
4a > 3
a > \( \frac{3}{4} \)
a > \(\frac{3}{4}\)


4

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

83% Answer Correctly

First

Last

Inside

Odd


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.


5

Simplify (4a)(2ab) - (4a2)(5b).

59% Answer Correctly
54ab2
28a2b
12ab2
-12a2b

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.

(4a)(2ab) - (4a2)(5b)
(4 x 2)(a x a x b) - (4 x 5)(a2 x b)
(8)(a1+1 x b) - (20)(a2b)
8a2b - 20a2b
-12a2b