ASVAB Math Knowledge Practice Test 121895 Results

Your Results Global Average
Questions 5 5
Correct 0 3.25
Score 0% 65%

Review

1

What is 3a + 8a?

81% Answer Correctly
a2
24a
11
11a

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.

3a + 8a = 11a


2

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

50% Answer Correctly

a parallelogram is a quadrilateral

opposite sides and adjacent angles are equal

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

the area of a parallelogram is base x height


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).


3

Solve for x:
7x - 2 < \( \frac{x}{1} \)

44% Answer Correctly
x < 3\(\frac{3}{7}\)
x < -1\(\frac{5}{19}\)
x < 1\(\frac{15}{17}\)
x < \(\frac{1}{3}\)

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.

7x - 2 < \( \frac{x}{1} \)
1 x (7x - 2) < x
(1 x 7x) + (1 x -2) < x
7x - 2 < x
7x - 2 - x < 0
7x - x < 2
6x < 2
x < \( \frac{2}{6} \)
x < \(\frac{1}{3}\)


4

Simplify 4a x 7b.

86% Answer Correctly
28ab
28a2b2
28\( \frac{a}{b} \)
28\( \frac{b}{a} \)

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.

4a x 7b = (4 x 7) (a x b) = 28ab


5

If side a = 7, side b = 1, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{5} \)
\( \sqrt{50} \)
\( \sqrt{85} \)
\( \sqrt{113} \)

Solution

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

c2 = a2 + b2
c2 = 72 + 12
c2 = 49 + 1
c2 = 50
c = \( \sqrt{50} \)