ASVAB Math Knowledge Practice Test 132187 Results

Your Results Global Average
Questions 5 5
Correct 0 3.31
Score 0% 66%

Review

1

Solve for c:
c2 - 5c + 23 = 5c - 1

48% Answer Correctly
-7 or -8
4 or 6
-6 or -9
-8 or -9

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:

c2 - 5c + 23 = 5c - 1
c2 - 5c + 23 + 1 = 5c
c2 - 5c - 5c + 24 = 0
c2 - 10c + 24 = 0

Next, factor the quadratic equation:

c2 - 10c + 24 = 0
(c - 4)(c - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 4) or (c - 6) must equal zero:

If (c - 4) = 0, c must equal 4
If (c - 6) = 0, c must equal 6

So the solution is that c = 4 or 6


2

Which of the following expressions contains exactly two terms?

82% Answer Correctly

polynomial

binomial

quadratic

monomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


3

What is 8a5 - 7a5?

73% Answer Correctly
56a10
56a5
1a5
15

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.

8a5 - 7a5 = 1a5


4

What is the circumference of a circle with a radius of 6?

71% Answer Correctly
34π
12π

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 * 6)
c = 12π


5

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

54% Answer Correctly

equilateral and right

equilateral, isosceles and right

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.