ASVAB Math Knowledge Practice Test 1061 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

Solve for a:
-a + 3 = \( \frac{a}{-9} \)

46% Answer Correctly
-1\(\frac{11}{13}\)
1\(\frac{16}{29}\)
1\(\frac{5}{9}\)
3\(\frac{3}{8}\)

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.

-a + 3 = \( \frac{a}{-9} \)
-9 x (-a + 3) = a
(-9 x -a) + (-9 x 3) = a
9a - 27 = a
9a - 27 - a = 0
9a - a = 27
8a = 27
a = \( \frac{27}{8} \)
a = 3\(\frac{3}{8}\)


2

Simplify 2a x 2b.

86% Answer Correctly
4ab
4a2b2
4\( \frac{a}{b} \)
4\( \frac{b}{a} \)

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.

2a x 2b = (2 x 2) (a x b) = 4ab


3

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

63% Answer Correctly

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

all interior angles are right angles

the lengths of all sides are equal

the area is length x width


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).


4

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

diameter

radius

circumference

chord


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


5

What is 8a - 7a?

79% Answer Correctly
a2
15a2
1a
15

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.

8a - 7a = 1a