ASVAB Math Knowledge Practice Test 440962 Results

Your Results Global Average
Questions 5 5
Correct 0 2.97
Score 0% 59%

Review

1

Solve for x:
-8x - 7 > -5 + 5x

54% Answer Correctly
x > -1\(\frac{3}{5}\)
x > -\(\frac{2}{13}\)
x > -1
x > \(\frac{1}{3}\)

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.

-8x - 7 > -5 + 5x
-8x > -5 + 5x + 7
-8x - 5x > -5 + 7
-13x > 2
x > \( \frac{2}{-13} \)
x > -\(\frac{2}{13}\)


2

The dimensions of this cylinder are height (h) = 4 and radius (r) = 8. What is the surface area?

48% Answer Correctly
90π
192π
16π
160π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 4)
sa = 2π(64) + 2π(32)
sa = (2 x 64)π + (2 x 32)π
sa = 128π + 64π
sa = 192π


3

If the base of this triangle is 4 and the height is 3, what is the area?

58% Answer Correctly
37\(\frac{1}{2}\)
6
67\(\frac{1}{2}\)
60

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 4 x 3 = \( \frac{12}{2} \) = 6


4

Which of the following statements about a triangle is not true?

57% Answer Correctly

area = ½bh

perimeter = sum of side lengths

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


5

What is 4a - 4a?

79% Answer Correctly
16a
a2
0a
8

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.

4a - 4a = 0a