ASVAB Math Knowledge Practice Test 836912 Results

Your Results Global Average
Questions 5 5
Correct 0 2.32
Score 0% 46%

Review

1

Simplify (y + 8)(y + 5)

64% Answer Correctly
y2 - 3y - 40
y2 - 13y + 40
y2 + 3y - 40
y2 + 13y + 40

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 + 8)(y + 5)
(y x y) + (y x 5) + (8 x y) + (8 x 5)
y2 + 5y + 8y + 40
y2 + 13y + 40


2

Solve for a:
-8a - 1 > \( \frac{a}{8} \)

44% Answer Correctly
a > -\(\frac{8}{65}\)
a > -1\(\frac{29}{34}\)
a > \(\frac{5}{18}\)
a > -3\(\frac{1}{3}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

-8a - 1 > \( \frac{a}{8} \)
8 x (-8a - 1) > a
(8 x -8a) + (8 x -1) > a
-64a - 8 > a
-64a - 8 - a > 0
-64a - a > 8
-65a > 8
a > \( \frac{8}{-65} \)
a > -\(\frac{8}{65}\)


3

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

54% Answer Correctly

isosceles and right

equilateral and isosceles

equilateral, isosceles and right

equilateral 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.


4

If the length of AB equals the length of BD, point B __________ this line segment.

46% Answer Correctly

midpoints

bisects

trisects

intersects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.


5

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

24% Answer Correctly

c = π d

c = π r2

c = π d2

c = π r


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.