ASVAB Math Knowledge Practice Test 942345 Results

Your Results Global Average
Questions 5 5
Correct 0 3.34
Score 0% 67%

Review

1

What is 4a2 - 8a2?

73% Answer Correctly
12a4
-4a2
-4
12

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.

4a2 - 8a2 = -4a2


2

Solve for b:
b - 8 > \( \frac{b}{-8} \)

44% Answer Correctly
b > 2
b > \(\frac{3}{8}\)
b > -2\(\frac{8}{23}\)
b > 7\(\frac{1}{9}\)

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.

b - 8 > \( \frac{b}{-8} \)
-8 x (b - 8) > b
(-8 x b) + (-8 x -8) > b
-8b + 64 > b
-8b + 64 - b > 0
-8b - b > -64
-9b > -64
b > \( \frac{-64}{-9} \)
b > 7\(\frac{1}{9}\)


3

This diagram represents two parallel lines with a transversal. If a° = 20, what is the value of y°?

73% Answer Correctly
29
18
160
21

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
  • same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with a° = 20, the value of y° is 160.


4

What is 7a + 9a?

81% Answer Correctly
-2a2
a2
16
16a

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.

7a + 9a = 16a


5

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

63% Answer Correctly

the area is length x width

the lengths of all sides are equal

all interior angles are right angles

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


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).