ASVAB Math Knowledge Practice Test 952709 Results

Your Results Global Average
Questions 5 5
Correct 0 3.57
Score 0% 71%

Review

1

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

58% Answer Correctly

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles

area = ½bh

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.


2

Which of the following expressions contains exactly two terms?

83% Answer Correctly

monomial

quadratic

polynomial

binomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


3

Simplify 6a x 8b.

86% Answer Correctly
48\( \frac{b}{a} \)
48\( \frac{a}{b} \)
48a2b2
48ab

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 x 8b = (6 x 8) (a x b) = 48ab


4

Solve for b:
b2 + 6b - 21 = -b - 3

48% Answer Correctly
-7 or -8
5 or -8
6 or -8
2 or -9

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

b2 + 6b - 21 = -b - 3
b2 + 6b - 21 + 3 = -b
b2 + 6b + b - 18 = 0
b2 + 7b - 18 = 0

Next, factor the quadratic equation:

b2 + 7b - 18 = 0
(b - 2)(b + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 2) or (b + 9) must equal zero:

If (b - 2) = 0, b must equal 2
If (b + 9) = 0, b must equal -9

So the solution is that b = 2 or -9


5

If a = c = 3, b = d = 7, what is the area of this rectangle?

80% Answer Correctly
9
24
21
63

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 3 x 7
a = 21