ASVAB Math Knowledge Practice Test 266341 Results

Your Results Global Average
Questions 5 5
Correct 0 2.85
Score 0% 57%

Review

1

Find the value of a:
-3a + x = 3
8a + 7x = -7

42% Answer Correctly
-\(\frac{28}{29}\)
-1\(\frac{9}{20}\)
-\(\frac{1}{2}\)
\(\frac{63}{79}\)

Solution

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

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

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

8a + 7(3 + 3a) = -7
8a + (7 x 3) + (7 x 3a) = -7
8a + 21 + 21a = -7
8a + 21a = -7 - 21
29a = -28
a = \( \frac{-28}{29} \)
a = -\(\frac{28}{29}\)


2

The dimensions of this cube are height (h) = 9, length (l) = 2, and width (w) = 7. What is the surface area?

51% Answer Correctly
214
190
114
126

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 7) + (2 x 7 x 9) + (2 x 2 x 9)
sa = (28) + (126) + (36)
sa = 190


3

Solve -3a + 5a = -9a - 4x + 7 for a in terms of x.

34% Answer Correctly
1\(\frac{3}{7}\)x + \(\frac{4}{7}\)
x + 2
x - \(\frac{6}{7}\)
-1\(\frac{1}{2}\)x + 1\(\frac{1}{6}\)

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.

-3a + 5x = -9a - 4x + 7
-3a = -9a - 4x + 7 - 5x
-3a + 9a = -4x + 7 - 5x
6a = -9x + 7
a = \( \frac{-9x + 7}{6} \)
a = \( \frac{-9x}{6} \) + \( \frac{7}{6} \)
a = -1\(\frac{1}{2}\)x + 1\(\frac{1}{6}\)


4

What is the area of a circle with a radius of 4?

70% Answer Correctly
16π
25π

Solution

The formula for area is πr2:

a = πr2
a = π(42)
a = 16π


5

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

84% Answer Correctly

Odd

Inside

First

Last


Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.