ASVAB Math Knowledge Practice Test 819749 Results

Your Results Global Average
Questions 5 5
Correct 0 3.27
Score 0% 65%

Review

1

Simplify (y + 1)(y + 1)

62% Answer Correctly
y2 + 2y + 1
y2 - 1
y2 - 2y + 1
22

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 + 1)(y + 1)
(y x y) + (y x 1) + (1 x y) + (1 x 1)
y2 + y + y + 1
y2 + 2y + 1


2

What is the circumference of a circle with a radius of 14?

70% Answer Correctly
28π
3π
14π
12π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 14)
c = 28π


3

Simplify 9a x 3b.

85% Answer Correctly
27\( \frac{b}{a} \)
27\( \frac{a}{b} \)
27ab
12ab

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.

9a x 3b = (9 x 3) (a x b) = 27ab


4

If the base of this triangle is 2 and the height is 3, what is the area?

58% Answer Correctly
24
48
45
3

Solution

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

a = ½bh
a = ½ x 2 x 3 = \( \frac{6}{2} \) = 3


5

The dimensions of this cube are height (h) = 2, length (l) = 6, and width (w) = 6. What is the surface area?

51% Answer Correctly
120
280
314
78

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 6 x 6) + (2 x 6 x 2) + (2 x 6 x 2)
sa = (72) + (24) + (24)
sa = 120