ASVAB Math Knowledge Practice Test 774353 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

Simplify (y + 6)(y + 2)

63% Answer Correctly
y2 - 8y + 12
y2 - 4y - 12
y2 + 4y - 12
y2 + 8y + 12

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 + 6)(y + 2)
(y x y) + (y x 2) + (6 x y) + (6 x 2)
y2 + 2y + 6y + 12
y2 + 8y + 12


2

If the base of this triangle is 1 and the height is 8, what is the area?

58% Answer Correctly
45
27
4
33

Solution

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

a = ½bh
a = ½ x 1 x 8 = \( \frac{8}{2} \) = 4


3

Simplify (5a)(4ab) - (2a2)(8b).

62% Answer Correctly
4a2b
36a2b
-4ab2
90ab2

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.

(5a)(4ab) - (2a2)(8b)
(5 x 4)(a x a x b) - (2 x 8)(a2 x b)
(20)(a1+1 x b) - (16)(a2b)
20a2b - 16a2b
4a2b


4

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral and isosceles

equilateral and right

isosceles and right

equilateral, isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


5

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

77% Answer Correctly

a = π r

a = π d2

a = π r2

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.