ASVAB Math Knowledge Practice Test 596687 Results

Your Results Global Average
Questions 5 5
Correct 0 3.49
Score 0% 70%

Review

1

What is 2a + 7a?

81% Answer Correctly
-5
9
14a
9a

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.

2a + 7a = 9a


2

Factor y2 - 4

54% Answer Correctly
(y + 2)(y + 2)
(y + 2)(y - 2)
(y - 2)(y + 2)
(y - 2)(y - 2)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -4 as well and sum (Inside, Outside) to equal 0. For this problem, those two numbers are -2 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 4
y2 + (-2 + 2)y + (-2 x 2)
(y - 2)(y + 2)


3

What is the area of a circle with a radius of 4?

70% Answer Correctly
49π
16π

Solution

The formula for area is πr2:

a = πr2
a = π(42)
a = 16π


4

Which of the following statements about math operations is incorrect?

71% Answer Correctly

you can subtract monomials that have the same variable and the same exponent

you can add monomials that have the same variable and the same exponent

all of these statements are correct

you can multiply monomials that have different variables and different exponents


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


5

This diagram represents two parallel lines with a transversal. If w° = 28, what is the value of c°?

73% Answer Correctly
14
28
157
34

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 w° = 28, the value of c° is 28.