ASVAB Math Knowledge Practice Test 751392 Results

Your Results Global Average
Questions 5 5
Correct 0 3.38
Score 0% 68%

Review

1

The endpoints of this line segment are at (-2, 1) and (2, 5). What is the slope of this line?

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

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, 5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (1.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)
m = 1


2

A right angle measures:

90% Answer Correctly

90°

360°

45°

180°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


3

Simplify (3a)(5ab) - (6a2)(9b).

62% Answer Correctly
69a2b
39ab2
-39a2b
120a2b

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.

(3a)(5ab) - (6a2)(9b)
(3 x 5)(a x a x b) - (6 x 9)(a2 x b)
(15)(a1+1 x b) - (54)(a2b)
15a2b - 54a2b
-39a2b


4

Solve for y:
9y - 9 = -4 - 7y

59% Answer Correctly
1\(\frac{3}{4}\)
-3\(\frac{1}{2}\)
\(\frac{5}{16}\)
\(\frac{3}{4}\)

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.

9y - 9 = -4 - 7y
9y = -4 - 7y + 9
9y + 7y = -4 + 9
16y = 5
y = \( \frac{5}{16} \)
y = \(\frac{5}{16}\)


5

What is 6a + 4a?

81% Answer Correctly
2
24a
a2
10a

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.

6a + 4a = 10a