ASVAB Math Knowledge Practice Test 305210 Results

Your Results Global Average
Questions 5 5
Correct 0 3.37
Score 0% 67%

Review

1

Solve for b:
b2 - 7b - 8 = 0

58% Answer Correctly
9 or -3
-1 or 8
4 or -1
-4 or -6

Solution

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

b2 - 7b - 8 = 0
(b + 1)(b - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 1) or (b - 8) must equal zero:

If (b + 1) = 0, b must equal -1
If (b - 8) = 0, b must equal 8

So the solution is that b = -1 or 8


2

If the base of this triangle is 5 and the height is 3, what is the area?

58% Answer Correctly
15
7\(\frac{1}{2}\)
65
22\(\frac{1}{2}\)

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 5 x 3 = \( \frac{15}{2} \) = 7\(\frac{1}{2}\)


3

Simplify (9a)(7ab) + (8a2)(5b).

65% Answer Correctly
103ab2
103a2b
23a2b
208a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(9a)(7ab) + (8a2)(5b)
(9 x 7)(a x a x b) + (8 x 5)(a2 x b)
(63)(a1+1 x b) + (40)(a2b)
63a2b + 40a2b
103a2b


4

Which of the following expressions contains exactly two terms?

83% Answer Correctly

polynomial

monomial

binomial

quadratic


Solution

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


5

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

equal length

right angle

equal angle

parallel


Solution

A trapezoid is a quadrilateral with one set of parallel sides.