ASVAB Math Knowledge Practice Test 882120 Results

Your Results Global Average
Questions 5 5
Correct 0 2.53
Score 0% 51%

Review

1

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

54% Answer Correctly

isosceles and right

equilateral and right

equilateral, isosceles and right

equilateral and isosceles


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.


2

Solve for c:
7c - 1 < \( \frac{c}{-8} \)

44% Answer Correctly
c < 4
c < -\(\frac{7}{50}\)
c < -\(\frac{9}{11}\)
c < \(\frac{8}{57}\)

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.

7c - 1 < \( \frac{c}{-8} \)
-8 x (7c - 1) < c
(-8 x 7c) + (-8 x -1) < c
-56c + 8 < c
-56c + 8 - c < 0
-56c - c < -8
-57c < -8
c < \( \frac{-8}{-57} \)
c < \(\frac{8}{57}\)


3

The dimensions of this cylinder are height (h) = 6 and radius (r) = 9. What is the surface area?

48% Answer Correctly
270π
32π
272π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 6)
sa = 2π(81) + 2π(54)
sa = (2 x 81)π + (2 x 54)π
sa = 162π + 108π
sa = 270π


4

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

24% Answer Correctly

c = π d2

c = π d

c = π r2

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.


5

What is 7a + 8a?

81% Answer Correctly
-1
15
56a2
15a

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.

7a + 8a = 15a