ASVAB Math Knowledge Practice Test 79058 Results

Your Results Global Average
Questions 5 5
Correct 0 3.42
Score 0% 68%

Review

1

Solve for x:
x2 + 3x - 85 = 3x - 4

48% Answer Correctly
-5 or -6
9 or -9
8 or 4
7 or -7

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

x2 + 3x - 85 = 3x - 4
x2 + 3x - 85 + 4 = 3x
x2 + 3x - 3x - 81 = 0
x2 - 81 = 0

Next, factor the quadratic equation:

x2 - 81 = 0
(x - 9)(x + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 9) or (x + 9) must equal zero:

If (x - 9) = 0, x must equal 9
If (x + 9) = 0, x must equal -9

So the solution is that x = 9 or -9


2

What is 5a5 - 6a5?

73% Answer Correctly
30a5
-1a5
a510
-1

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.

5a5 - 6a5 = -1a5


3

The dimensions of this cube are height (h) = 5, length (l) = 4, and width (w) = 8. What is the volume?

83% Answer Correctly
160
70
6
81

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 5 x 4 x 8
v = 160


4

If a = 2, b = 8, c = 5, and d = 9, what is the perimeter of this quadrilateral?

88% Answer Correctly
23
13
24
29

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 2 + 8 + 5 + 9
p = 24


5

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

49% Answer Correctly

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

a parallelogram is a quadrilateral

the area of a parallelogram is base x height

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).