ASVAB Math Knowledge Practice Test 116465 Results

Your Results Global Average
Questions 5 5
Correct 0 3.41
Score 0% 68%

Review

1

Which of the following expressions contains exactly two terms?

82% Answer Correctly

binomial

quadratic

polynomial

monomial


Solution

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


2

Solve for y:
7y + 5 = \( \frac{y}{-9} \)

46% Answer Correctly
-\(\frac{5}{36}\)
-\(\frac{9}{14}\)
-\(\frac{45}{64}\)
1\(\frac{15}{17}\)

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 equal sign and the answer on the other.

7y + 5 = \( \frac{y}{-9} \)
-9 x (7y + 5) = y
(-9 x 7y) + (-9 x 5) = y
-63y - 45 = y
-63y - 45 - y = 0
-63y - y = 45
-64y = 45
y = \( \frac{45}{-64} \)
y = -\(\frac{45}{64}\)


3

This diagram represents two parallel lines with a transversal. If x° = 152, what is the value of b°?

73% Answer Correctly
35
25
33
152

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
  • same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with x° = 152, the value of b° is 152.


4

If a = c = 5, b = d = 4, and the blue angle = 69°, what is the area of this parallelogram?

65% Answer Correctly
56
35
8
20

Solution

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

a = l x w
a = a x b
a = 5 x 4
a = 20


5

What is 2a2 - 3a2?

73% Answer Correctly
6a4
6a2
5
-1a2

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.

2a2 - 3a2 = -1a2