ASVAB Math Knowledge Practice Test 831601 Results

Your Results Global Average
Questions 5 5
Correct 0 2.74
Score 0% 55%

Review

1

Find the value of a:
7a + x = 4
-2a - 5x = -1

42% Answer Correctly
\(\frac{19}{33}\)
-\(\frac{3}{5}\)
1\(\frac{1}{4}\)
-\(\frac{1}{8}\)

Solution

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

7a + x = 4
x = 4 - 7a

then substitute the result (4 - 7a) into the second equation:

-2a - 5(4 - 7a) = -1
-2a + (-5 x 4) + (-5 x -7a) = -1
-2a - 20 + 35a = -1
-2a + 35a = -1 + 20
33a = 19
a = \( \frac{19}{33} \)
a = \(\frac{19}{33}\)


2

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

24% Answer Correctly

c = π r2

c = π r

c = π d2

c = π d


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.


3

Simplify 2a x 3b.

86% Answer Correctly
6\( \frac{a}{b} \)
5ab
6ab
6a2b2

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.

2a x 3b = (2 x 3) (a x b) = 6ab


4

Simplify (y - 4)(y - 1)

63% Answer Correctly
y2 + 3y - 4
y2 - 3y - 4
y2 + 5y + 4
y2 - 5y + 4

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:

(y - 4)(y - 1)
(y x y) + (y x -1) + (-4 x y) + (-4 x -1)
y2 - y - 4y + 4
y2 - 5y + 4


5

If the base of this triangle is 2 and the height is 4, what is the area?

58% Answer Correctly
27\(\frac{1}{2}\)
4
32
52

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 2 x 4 = \( \frac{8}{2} \) = 4