ASVAB Math Knowledge Practice Test 820868 Results

Your Results Global Average
Questions 5 5
Correct 0 3.35
Score 0% 67%

Review

1

What is 6a7 + 3a7?

74% Answer Correctly
18a14
3
9
9a7

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.

6a7 + 3a7 = 9a7


2

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

division

exponents

addition

pairs


Solution

When solving an equation with two variables, 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.)


3

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

51% Answer Correctly
352
146
126
184

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 5 x 4) + (2 x 4 x 8) + (2 x 5 x 8)
sa = (40) + (64) + (80)
sa = 184


4

Find the value of a:
3a + x = 1
-9a - 2x = -1

42% Answer Correctly
-\(\frac{1}{3}\)
-1\(\frac{1}{6}\)
\(\frac{32}{45}\)
-1\(\frac{4}{5}\)

Solution

You need to find the value of a so solve the first equation in terms of x:

3a + x = 1
x = 1 - 3a

then substitute the result (1 - 3a) into the second equation:

-9a - 2(1 - 3a) = -1
-9a + (-2 x 1) + (-2 x -3a) = -1
-9a - 2 + 6a = -1
-9a + 6a = -1 + 2
-3a = 1
a = \( \frac{1}{-3} \)
a = -\(\frac{1}{3}\)


5

The formula for the area of a circle is which of the following?

76% Answer Correctly

a = π d2

a = π r2

a = π d

a = π r


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.