ASVAB Math Knowledge Practice Test 615341 Results

Your Results Global Average
Questions 5 5
Correct 0 2.79
Score 0% 56%

Review

1

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

54% Answer Correctly

equilateral and right

isosceles 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.


2

Solve 7b + 2b = -5b - 3y + 7 for b in terms of y.

35% Answer Correctly
\(\frac{4}{11}\)y - \(\frac{8}{11}\)
-\(\frac{3}{10}\)y + \(\frac{3}{5}\)
-3y + \(\frac{1}{4}\)
-\(\frac{5}{12}\)y + \(\frac{7}{12}\)

Solution

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

7b + 2y = -5b - 3y + 7
7b = -5b - 3y + 7 - 2y
7b + 5b = -3y + 7 - 2y
12b = -5y + 7
b = \( \frac{-5y + 7}{12} \)
b = \( \frac{-5y}{12} \) + \( \frac{7}{12} \)
b = -\(\frac{5}{12}\)y + \(\frac{7}{12}\)


3

What is 5a - 5a?

80% Answer Correctly
0a
a2
2
25a

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.

5a - 5a = 0a


4

Solve for x:
x2 + 4x - 21 = 0

59% Answer Correctly
2 or 1
3 or -7
6 or -7
7 or -8

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

x2 + 4x - 21 = 0
(x - 3)(x + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 3) or (x + 7) must equal zero:

If (x - 3) = 0, x must equal 3
If (x + 7) = 0, x must equal -7

So the solution is that x = 3 or -7


5

The dimensions of this cube are height (h) = 1, length (l) = 8, and width (w) = 8. What is the surface area?

51% Answer Correctly
58
96
160
192

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 8 x 8) + (2 x 8 x 1) + (2 x 8 x 1)
sa = (128) + (16) + (16)
sa = 160