ASVAB Math Knowledge Practice Test 554391 Results

Your Results Global Average
Questions 5 5
Correct 0 3.24
Score 0% 65%

Review

1

If side x = 7cm, side y = 14cm, and side z = 14cm what is the perimeter of this triangle?

84% Answer Correctly
26cm
35cm
28cm
24cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 7cm + 14cm + 14cm = 35cm


2

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

57% Answer Correctly

perimeter = sum of side lengths

sum of interior angles = 180°

area = ½bh

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.


3

If a = -7 and x = -4, what is the value of -a(a - x)?

68% Answer Correctly
210
-21
-16
-120

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-a(a - x)
-1(-7)(-7 + 4)
-1(-7)(-3)
(7)(-3)
-21


4

The dimensions of this cube are height (h) = 1, length (l) = 6, and width (w) = 8. What is the surface area?

51% Answer Correctly
318
154
124
246

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 8) + (2 x 8 x 1) + (2 x 6 x 1)
sa = (96) + (16) + (12)
sa = 124


5

Simplify (6a)(4ab) + (3a2)(7b).

65% Answer Correctly
-3ab2
100ab2
100a2b
45a2b

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.

(6a)(4ab) + (3a2)(7b)
(6 x 4)(a x a x b) + (3 x 7)(a2 x b)
(24)(a1+1 x b) + (21)(a2b)
24a2b + 21a2b
45a2b