ASVAB Math Knowledge Practice Test 292396 Results

Your Results Global Average
Questions 5 5
Correct 0 3.30
Score 0% 66%

Review

1

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

78% Answer Correctly

a = π r2

a = π r

a = π d2

a = 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.


2

What is 3a9 - 3a9?

75% Answer Correctly
0a9
0
9a18
9a9

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.

3a9 - 3a9 = 0a9


3

Solve for b:
b2 - 6b + 5 = 0

59% Answer Correctly
2 or -1
1 or 5
1 or -1
1 or -6

Solution

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

b2 - 6b + 5 = 0
(b - 1)(b - 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b - 5) must equal zero:

If (b - 1) = 0, b must equal 1
If (b - 5) = 0, b must equal 5

So the solution is that b = 1 or 5


4

Factor y2 - 10y + 9

54% Answer Correctly
(y - 9)(y - 1)
(y - 9)(y + 1)
(y + 9)(y + 1)
(y + 9)(y - 1)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 9 as well and sum (Inside, Outside) to equal -10. For this problem, those two numbers are -9 and -1. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 10y + 9
y2 + (-9 - 1)y + (-9 x -1)
(y - 9)(y - 1)


5

Simplify (y - 3)(y + 2)

64% Answer Correctly
y2 - y - 6
y2 + y - 6
y2 - 5y + 6
y2 + 5y + 6

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 - 3)(y + 2)
(y x y) + (y x 2) + (-3 x y) + (-3 x 2)
y2 + 2y - 3y - 6
y2 - y - 6