ASVAB Math Knowledge Practice Test 41526 Results

Your Results Global Average
Questions 5 5
Correct 0 3.78
Score 0% 76%

Review

1

Which of the following expressions contains exactly two terms?

81% Answer Correctly

quadratic

binomial

monomial

polynomial


Solution

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


2

Solve for b:
b2 - 4b - 59 = -5b - 3

48% Answer Correctly
4 or -7
7 or -8
-1 or -8
-1 or -5

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 - 4b - 59 = -5b - 3
b2 - 4b - 59 + 3 = -5b
b2 - 4b + 5b - 56 = 0
b2 + b - 56 = 0

Next, factor the quadratic equation:

b2 + b - 56 = 0
(b - 7)(b + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 7) or (b + 8) must equal zero:

If (b - 7) = 0, b must equal 7
If (b + 8) = 0, b must equal -8

So the solution is that b = 7 or -8


3

A right angle measures:

89% Answer Correctly

90°

45°

180°

360°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


4

The formula for the area of a circle is which of the following?

76% Answer Correctly

a = π d

a = π r2

a = π r

a = π d2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


5

What is 5a + 6a?

80% Answer Correctly
-a2
30a
11a2
11a

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.

5a + 6a = 11a