ASVAB Math Knowledge Practice Test 840283 Results

Your Results Global Average
Questions 5 5
Correct 0 3.35
Score 0% 67%

Review

1

If angle a = 68° and angle b = 29° what is the length of angle c?

71% Answer Correctly
96°
104°
94°
83°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 68° - 29° = 83°


2

Solve for x:
-x + 5 > \( \frac{x}{-3} \)

45% Answer Correctly
x > 7\(\frac{1}{2}\)
x > 1\(\frac{4}{23}\)
x > \(\frac{36}{53}\)
x > -\(\frac{16}{17}\)

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 > sign and the answer on the other.

-x + 5 > \( \frac{x}{-3} \)
-3 x (-x + 5) > x
(-3 x -x) + (-3 x 5) > x
3x - 15 > x
3x - 15 - x > 0
3x - x > 15
2x > 15
x > \( \frac{15}{2} \)
x > 7\(\frac{1}{2}\)


3

Breaking apart a quadratic expression into a pair of binomials is called:

75% Answer Correctly

normalizing

factoring

deconstructing

squaring


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


4

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

84% Answer Correctly

Last

Odd

Inside

First


Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.


5

Which of the following statements about a triangle is not true?

58% Answer Correctly

area = ½bh

perimeter = sum of side lengths

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.