ASVAB Math Knowledge Practice Test 683271 Results

Your Results Global Average
Questions 5 5
Correct 0 3.28
Score 0% 66%

Review

1

Simplify (y + 2)(y - 2)

64% Answer Correctly
y2 - 4y + 4
y2 + 4y + 4
y2 - 4
84

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 2)(y - 2)
(y x y) + (y x -2) + (2 x y) + (2 x -2)
y2 - 2y + 2y - 4
y2 - 4


2

The dimensions of this trapezoid are a = 4, b = 2, c = 6, d = 8, and h = 3. What is the area?

51% Answer Correctly
7\(\frac{1}{2}\)
15
8
18

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(2 + 8)(3)
a = ½(10)(3)
a = ½(30) = \( \frac{30}{2} \)
a = 15


3

What is 8a + 3a?

81% Answer Correctly
24a
11a
a2
11

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.

8a + 3a = 11a


4

Solve for a:
-8a - 8 > \( \frac{a}{-7} \)

45% Answer Correctly
a > -1\(\frac{1}{55}\)
a > -1\(\frac{19}{44}\)
a > -\(\frac{4}{7}\)
a > -\(\frac{4}{25}\)

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.

-8a - 8 > \( \frac{a}{-7} \)
-7 x (-8a - 8) > a
(-7 x -8a) + (-7 x -8) > a
56a + 56 > a
56a + 56 - a > 0
56a - a > -56
55a > -56
a > \( \frac{-56}{55} \)
a > -1\(\frac{1}{55}\)


5

Which of the following expressions contains exactly two terms?

83% Answer Correctly

quadratic

binomial

polynomial

monomial


Solution

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