ASVAB Math Knowledge Practice Test 920698 Results

Your Results Global Average
Questions 5 5
Correct 0 2.79
Score 0% 56%

Review

1

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

24% Answer Correctly

c = π r

c = π r2

c = π d

c = π d2


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

If a = 3, b = 9, c = 2, and d = 2, what is the perimeter of this quadrilateral?

88% Answer Correctly
20
28
15
16

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 3 + 9 + 2 + 2
p = 16


3

Solve for z:
z2 - 4z + 10 = 5z - 4

48% Answer Correctly
-4 or -6
2 or 7
4 or -4
7 or -3

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

z2 - 4z + 10 = 5z - 4
z2 - 4z + 10 + 4 = 5z
z2 - 4z - 5z + 14 = 0
z2 - 9z + 14 = 0

Next, factor the quadratic equation:

z2 - 9z + 14 = 0
(z - 2)(z - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 2) or (z - 7) must equal zero:

If (z - 2) = 0, z must equal 2
If (z - 7) = 0, z must equal 7

So the solution is that z = 2 or 7


4

Simplify (2a)(5ab) - (3a2)(2b).

59% Answer Correctly
4a2b
16a2b
35ab2
16ab2

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)(5ab) - (3a2)(2b)
(2 x 5)(a x a x b) - (3 x 2)(a2 x b)
(10)(a1+1 x b) - (6)(a2b)
10a2b - 6a2b
4a2b


5

Simplify (y + 2)(y + 2)

62% Answer Correctly
88
y2 + 4y + 4
y2 - 4
y2 - 4y + 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 + 2)(y + 2)
(y x y) + (y x 2) + (2 x y) + (2 x 2)
y2 + 2y + 2y + 4
y2 + 4y + 4