ASVAB Math Knowledge Practice Test 232788 Results

Your Results Global Average
Questions 5 5
Correct 0 3.14
Score 0% 63%

Review

1

Solve for y:
y + 9 = \( \frac{y}{-8} \)

46% Answer Correctly
\(\frac{4}{31}\)
\(\frac{5}{9}\)
-\(\frac{28}{41}\)
-8

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 equal sign and the answer on the other.

y + 9 = \( \frac{y}{-8} \)
-8 x (y + 9) = y
(-8 x y) + (-8 x 9) = y
-8y - 72 = y
-8y - 72 - y = 0
-8y - y = 72
-9y = 72
y = \( \frac{72}{-9} \)
y = -8


2

What is 8a + 7a?

81% Answer Correctly
1
15a2
56a2
15a

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.

8a + 7a = 15a


3

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

62% Answer Correctly
117ab2
24a2b
60a2b
-24ab2

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.

(7a)(6ab) - (3a2)(6b)
(7 x 6)(a x a x b) - (3 x 6)(a2 x b)
(42)(a1+1 x b) - (18)(a2b)
42a2b - 18a2b
24a2b


4

The endpoints of this line segment are at (-2, 1) and (2, 3). What is the slope of this line?

46% Answer Correctly
1\(\frac{1}{2}\)
-\(\frac{1}{2}\)
\(\frac{1}{2}\)
-3

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 1) and (2, 3) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (1.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)
m = \(\frac{1}{2}\)


5

If a = c = 8, b = d = 7, what is the area of this rectangle?

80% Answer Correctly
40
54
3
56

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 8 x 7
a = 56