ASVAB Math Knowledge Practice Test 150006 Results

Your Results Global Average
Questions 5 5
Correct 0 3.10
Score 0% 62%

Review

1

Solve for x:
3x - 3 > \( \frac{x}{-4} \)

44% Answer Correctly
x > \(\frac{18}{23}\)
x > \(\frac{16}{31}\)
x > 1\(\frac{13}{23}\)
x > \(\frac{12}{13}\)

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.

3x - 3 > \( \frac{x}{-4} \)
-4 x (3x - 3) > x
(-4 x 3x) + (-4 x -3) > x
-12x + 12 > x
-12x + 12 - x > 0
-12x - x > -12
-13x > -12
x > \( \frac{-12}{-13} \)
x > \(\frac{12}{13}\)


2

What is 5a - 3a?

80% Answer Correctly
2a
8
a2
2

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.

5a - 3a = 2a


3

What is 6a + 3a?

81% Answer Correctly
9a
3
18a
9

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.

6a + 3a = 9a


4

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

a2 - c2

c - a

c2 - a2

c2 + a2


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)


5

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

57% Answer Correctly

perimeter = sum of side lengths

area = ½bh

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.