ASVAB Math Knowledge Practice Test 538489 Results

Your Results Global Average
Questions 5 5
Correct 0 3.03
Score 0% 61%

Review

1

Simplify (7a)(3ab) + (7a2)(7b).

65% Answer Correctly
140ab2
-28a2b
70a2b
28a2b

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.

(7a)(3ab) + (7a2)(7b)
(7 x 3)(a x a x b) + (7 x 7)(a2 x b)
(21)(a1+1 x b) + (49)(a2b)
21a2b + 49a2b
70a2b


2

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

lw x wh + lh

h x l x w

h2 x l2 x w2

2lw x 2wh + 2lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


3

What is the circumference of a circle with a diameter of 14?

70% Answer Correctly
14π
32π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 14π


4

The dimensions of this cube are height (h) = 7, length (l) = 4, and width (w) = 1. What is the surface area?

51% Answer Correctly
126
78
72
288

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 4 x 1) + (2 x 1 x 7) + (2 x 4 x 7)
sa = (8) + (14) + (56)
sa = 78


5

Solve for y:
y2 + 14y + 13 = 5y - 1

48% Answer Correctly
2 or -4
4 or -4
9 or -1
-2 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:

y2 + 14y + 13 = 5y - 1
y2 + 14y + 13 + 1 = 5y
y2 + 14y - 5y + 14 = 0
y2 + 9y + 14 = 0

Next, factor the quadratic equation:

y2 + 9y + 14 = 0
(y + 2)(y + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 2) or (y + 7) must equal zero:

If (y + 2) = 0, y must equal -2
If (y + 7) = 0, y must equal -7

So the solution is that y = -2 or -7