ASVAB Math Knowledge Practice Test 699242 Results

Your Results Global Average
Questions 5 5
Correct 0 3.43
Score 0% 69%

Review

1

Simplify 8a x 8b.

86% Answer Correctly
64\( \frac{a}{b} \)
64ab
64a2b2
64\( \frac{b}{a} \)

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

8a x 8b = (8 x 8) (a x b) = 64ab


2

If side a = 9, side b = 8, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{26} \)
\( \sqrt{80} \)
\( \sqrt{52} \)
\( \sqrt{145} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 92 + 82
c2 = 81 + 64
c2 = 145
c = \( \sqrt{145} \)


3

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

50% Answer Correctly

the area of a parallelogram is base x height

a parallelogram is a quadrilateral

the perimeter of a parallelogram is the sum of the lengths of all sides

opposite sides and adjacent angles are equal


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).


4

If the base of this triangle is 6 and the height is 8, what is the area?

58% Answer Correctly
24\(\frac{1}{2}\)
24
25
49

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 6 x 8 = \( \frac{48}{2} \) = 24


5

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

84% Answer Correctly

Inside

Odd

Last

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.