ASVAB Math Knowledge Practice Test 214587 Results

Your Results Global Average
Questions 5 5
Correct 0 3.95
Score 0% 79%

Review

1

What is 8a + 2a?

81% Answer Correctly
10a2
6
10a
a2

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.

8a + 2a = 10a


2

If side x = 6cm, side y = 12cm, and side z = 11cm what is the perimeter of this triangle?

84% Answer Correctly
20cm
22cm
29cm
33cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 6cm + 12cm + 11cm = 29cm


3

If a = 1, b = 9, c = 8, and d = 5, what is the perimeter of this quadrilateral?

88% Answer Correctly
23
19
14
17

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 1 + 9 + 8 + 5
p = 23


4

Which of the following statements about math operations is incorrect?

70% Answer Correctly

all of these statements are correct

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

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 c° = 26, what is the value of b°?

73% Answer Correctly
153
143
10
154

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 c° = 26, the value of b° is 154.