ASVAB Math Knowledge Practice Test 101400 Results

Your Results Global Average
Questions 5 5
Correct 0 2.80
Score 0% 56%

Review

1

Solve for c:
-8c - 4 = \( \frac{c}{-3} \)

46% Answer Correctly
2\(\frac{8}{23}\)
-\(\frac{12}{23}\)
-\(\frac{28}{31}\)
-\(\frac{4}{19}\)

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.

-8c - 4 = \( \frac{c}{-3} \)
-3 x (-8c - 4) = c
(-3 x -8c) + (-3 x -4) = c
24c + 12 = c
24c + 12 - c = 0
24c - c = -12
23c = -12
c = \( \frac{-12}{23} \)
c = -\(\frac{12}{23}\)


2

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

24% Answer Correctly

c = π r2

c = π r

c = π d

c = 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.


3

Which of the following statements about math operations is incorrect?

71% Answer Correctly

you can multiply monomials that have different variables and different exponents

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

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

all of these statements are correct


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.


4

This diagram represents two parallel lines with a transversal. If c° = 26, what is the value of y°?

73% Answer Correctly
146
154
166
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 c° = 26, the value of y° is 154.


5

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

all interior angles are right angles

the lengths of all sides are equal

the area is length x width

the perimeter is the sum of the lengths of all four sides


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).