ASVAB Math Knowledge Practice Test 390046 Results

Your Results Global Average
Questions 5 5
Correct 0 3.31
Score 0% 66%

Review

1

A right angle measures:

90% Answer Correctly

45°

180°

90°

360°


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.


2

Solve for z:
2z - 9 = \( \frac{z}{-7} \)

46% Answer Correctly
1\(\frac{11}{13}\)
6\(\frac{2}{3}\)
\(\frac{14}{15}\)
4\(\frac{1}{5}\)

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.

2z - 9 = \( \frac{z}{-7} \)
-7 x (2z - 9) = z
(-7 x 2z) + (-7 x -9) = z
-14z + 63 = z
-14z + 63 - z = 0
-14z - z = -63
-15z = -63
z = \( \frac{-63}{-15} \)
z = 4\(\frac{1}{5}\)


3

Simplify (8a)(3ab) - (7a2)(4b).

62% Answer Correctly
-4a2b
52a2b
4ab2
121ab2

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.

(8a)(3ab) - (7a2)(4b)
(8 x 3)(a x a x b) - (7 x 4)(a2 x b)
(24)(a1+1 x b) - (28)(a2b)
24a2b - 28a2b
-4a2b


4

What is 6a + 7a?

81% Answer Correctly
42a
a2
-a2
13a

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 + 7a = 13a


5

The dimensions of this trapezoid are a = 4, b = 7, c = 6, d = 6, and h = 3. What is the area?

51% Answer Correctly
19\(\frac{1}{2}\)
16\(\frac{1}{2}\)
24
21

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(7 + 6)(3)
a = ½(13)(3)
a = ½(39) = \( \frac{39}{2} \)
a = 19\(\frac{1}{2}\)