ASVAB Math Knowledge Practice Test 356387 Results

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

Review

1

If a = c = 1, b = d = 5, and the blue angle = 50°, what is the area of this parallelogram?

65% Answer Correctly
30
3
10
5

Solution

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

a = l x w
a = a x b
a = 1 x 5
a = 5


2

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

57% Answer Correctly

exterior angle = sum of two adjacent interior angles

area = ½bh

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.


3

Solve 4b - 3b = -2b + 9x + 6 for b in terms of x.

34% Answer Correctly
\(\frac{1}{13}\)x + \(\frac{3}{13}\)
-\(\frac{1}{2}\)x + \(\frac{5}{8}\)
2x + 1
x - 1\(\frac{1}{8}\)

Solution

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

4b - 3x = -2b + 9x + 6
4b = -2b + 9x + 6 + 3x
4b + 2b = 9x + 6 + 3x
6b = 12x + 6
b = \( \frac{12x + 6}{6} \)
b = \( \frac{12x}{6} \) + \( \frac{6}{6} \)
b = 2x + 1


4

Solve for a:
a2 + 9a + 20 = 0

57% Answer Correctly
5 or 5
-4 or -5
2 or 1
-3 or -6

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

a2 + 9a + 20 = 0
(a + 4)(a + 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 4) or (a + 5) must equal zero:

If (a + 4) = 0, a must equal -4
If (a + 5) = 0, a must equal -5

So the solution is that a = -4 or -5


5

Which of the following expressions contains exactly two terms?

81% Answer Correctly

binomial

polynomial

monomial

quadratic


Solution

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