ASVAB Math Knowledge Practice Test 134005 Results

Your Results Global Average
Questions 5 5
Correct 0 2.86
Score 0% 57%

Review

1

Solve for x:
+ 1 > 5 - x

54% Answer Correctly
x > -1\(\frac{2}{3}\)
x > -1\(\frac{1}{8}\)
x > 2
x > 4

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.

+ 1 > 5 - x
> 5 - x - 1
+ x > 5 - 1
x > 4


2

Solve for b:
b2 + 16b + 38 = 3b - 4

48% Answer Correctly
8 or -8
6 or 5
-6 or -7
2 or -8

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

b2 + 16b + 38 = 3b - 4
b2 + 16b + 38 + 4 = 3b
b2 + 16b - 3b + 42 = 0
b2 + 13b + 42 = 0

Next, factor the quadratic equation:

b2 + 13b + 42 = 0
(b + 6)(b + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 6) or (b + 7) must equal zero:

If (b + 6) = 0, b must equal -6
If (b + 7) = 0, b must equal -7

So the solution is that b = -6 or -7


3

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

53% Answer Correctly

equilateral and isosceles

equilateral, isosceles and right

equilateral and right

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.


4

What is 6a + 4a?

80% Answer Correctly
2
10a
a2
24a

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.

6a + 4a = 10a


5

The dimensions of this cylinder are height (h) = 9 and radius (r) = 5. What is the surface area?

48% Answer Correctly
270π
30π
12π
140π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 9)
sa = 2π(25) + 2π(45)
sa = (2 x 25)π + (2 x 45)π
sa = 50π + 90π
sa = 140π