ASVAB Math Knowledge Practice Test 322873 Results

Your Results Global Average
Questions 5 5
Correct 0 2.81
Score 0% 56%

Review

1

If a = -2 and y = 5, what is the value of 3a(a - y)?

68% Answer Correctly
25
-63
42
225

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

3a(a - y)
3(-2)(-2 - 5)
3(-2)(-7)
(-6)(-7)
42


2

Solve 4a - 5a = 3a + 3y + 5 for a in terms of y.

34% Answer Correctly
8y + 5
y - \(\frac{6}{11}\)
-1\(\frac{1}{3}\)y + \(\frac{2}{9}\)
-\(\frac{3}{17}\)y + \(\frac{4}{17}\)

Solution

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

4a - 5y = 3a + 3y + 5
4a = 3a + 3y + 5 + 5y
4a - 3a = 3y + 5 + 5y
a = 8y + 5


3

What is 6a6 + 8a6?

75% Answer Correctly
-2a12
14a6
a612
-2

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.

6a6 + 8a6 = 14a6


4

The dimensions of this cube are height (h) = 8, length (l) = 1, and width (w) = 5. What is the surface area?

51% Answer Correctly
158
92
124
106

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 1 x 5) + (2 x 5 x 8) + (2 x 1 x 8)
sa = (10) + (80) + (16)
sa = 106


5

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

4π r2

2(π r2) + 2π rh

π r2h2

π r2h


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.