ASVAB Math Knowledge Practice Test 861956 Results

Your Results Global Average
Questions 5 5
Correct 0 2.80
Score 0% 56%

Review

1

Solve for c:
2c + 8 = \( \frac{c}{-3} \)

46% Answer Correctly
1\(\frac{1}{9}\)
1\(\frac{5}{7}\)
-1\(\frac{5}{9}\)
-3\(\frac{3}{7}\)

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 equal sign and the answer on the other.

2c + 8 = \( \frac{c}{-3} \)
-3 x (2c + 8) = c
(-3 x 2c) + (-3 x 8) = c
-6c - 24 = c
-6c - 24 - c = 0
-6c - c = 24
-7c = 24
c = \( \frac{24}{-7} \)
c = -3\(\frac{3}{7}\)


2

Solve for y:
y2 - 8y - 9 = 0

59% Answer Correctly
3 or -5
7 or 1
7 or -1
-1 or 9

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

y2 - 8y - 9 = 0
(y + 1)(y - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 1) or (y - 9) must equal zero:

If (y + 1) = 0, y must equal -1
If (y - 9) = 0, y must equal 9

So the solution is that y = -1 or 9


3

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

55% Answer Correctly

equilateral, isosceles and right

isosceles and right

equilateral and isosceles

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

The dimensions of this cylinder are height (h) = 2 and radius (r) = 6. What is the surface area?

48% Answer Correctly
120π
272π
96π
70π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 2)
sa = 2π(36) + 2π(12)
sa = (2 x 36)π + (2 x 12)π
sa = 72π + 24π
sa = 96π


5

What is the circumference of a circle with a radius of 16?

71% Answer Correctly
32π
38π
20π
19π

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 * 16)
c = 32π