ASVAB Math Knowledge Practice Test 461422 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

The dimensions of this cube are height (h) = 2, length (l) = 2, and width (w) = 1. What is the surface area?

51% Answer Correctly
70
16
76
26

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 2 x 1) + (2 x 1 x 2) + (2 x 2 x 2)
sa = (4) + (4) + (8)
sa = 16


2

Solve for a:
a2 - 15a + 29 = -3a + 2

49% Answer Correctly
3 or 9
-1 or -3
6 or -7
-3 or -5

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:

a2 - 15a + 29 = -3a + 2
a2 - 15a + 29 - 2 = -3a
a2 - 15a + 3a + 27 = 0
a2 - 12a + 27 = 0

Next, factor the quadratic equation:

a2 - 12a + 27 = 0
(a - 3)(a - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 3) or (a - 9) must equal zero:

If (a - 3) = 0, a must equal 3
If (a - 9) = 0, a must equal 9

So the solution is that a = 3 or 9


3

If side x = 7cm, side y = 11cm, and side z = 14cm what is the perimeter of this triangle?

85% Answer Correctly
31cm
32cm
30cm
36cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 7cm + 11cm + 14cm = 32cm


4

Simplify 9a x 9b.

86% Answer Correctly
81\( \frac{b}{a} \)
18ab
81ab
81a2b2

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.

9a x 9b = (9 x 9) (a x b) = 81ab


5

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

isosceles and right

equilateral and right

equilateral, isosceles and right

equilateral and isosceles


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.