ASVAB Math Knowledge Practice Test 239329 Results

Your Results Global Average
Questions 5 5
Correct 0 3.04
Score 0% 61%

Review

1

Solve for z:
-z + 9 > -7 + 6z

55% Answer Correctly
z > 2\(\frac{2}{7}\)
z > -\(\frac{1}{4}\)
z > -1
z > -1\(\frac{1}{2}\)

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.

-z + 9 > -7 + 6z
-z > -7 + 6z - 9
-z - 6z > -7 - 9
-7z > -16
z > \( \frac{-16}{-7} \)
z > 2\(\frac{2}{7}\)


2

Simplify (y - 1)(y + 9)

64% Answer Correctly
y2 + 8y - 9
y2 + 10y + 9
y2 - 10y + 9
y2 - 8y - 9

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:

(y - 1)(y + 9)
(y x y) + (y x 9) + (-1 x y) + (-1 x 9)
y2 + 9y - y - 9
y2 + 8y - 9


3

If the base of this triangle is 2 and the height is 4, what is the area?

59% Answer Correctly
71\(\frac{1}{2}\)
4
98
72

Solution

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

a = ½bh
a = ½ x 2 x 4 = \( \frac{8}{2} \) = 4


4

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

58% Answer Correctly

area = ½bh

exterior angle = sum of two adjacent interior angles

sum of interior angles = 180°

perimeter = sum of side lengths


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

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

parallel

equal angle

right angle

equal length


Solution

A trapezoid is a quadrilateral with one set of parallel sides.