ASVAB Math Knowledge Practice Test 194515 Results

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

Review

1

Which of the following expressions contains exactly two terms?

82% Answer Correctly

polynomial

binomial

monomial

quadratic


Solution

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


2

Factor y2 + 7y + 6

54% Answer Correctly
(y + 1)(y + 6)
(y + 1)(y - 6)
(y - 1)(y - 6)
(y - 1)(y + 6)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 6 as well and sum (Inside, Outside) to equal 7. For this problem, those two numbers are 1 and 6. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 7y + 6
y2 + (1 + 6)y + (1 x 6)
(y + 1)(y + 6)


3

If a = c = 2, b = d = 8, what is the area of this rectangle?

79% Answer Correctly
16
30
54
28

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 2 x 8
a = 16


4

Simplify (y + 2)(y - 4)

63% Answer Correctly
y2 - 6y + 8
y2 + 6y + 8
y2 - 2y - 8
y2 + 2y - 8

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 - 4)
(y x y) + (y x -4) + (2 x y) + (2 x -4)
y2 - 4y + 2y - 8
y2 - 2y - 8


5

Which of the following statements about a parallelogram is not true?

49% Answer Correctly

the area of a parallelogram is base x height

opposite sides and adjacent angles are equal

a parallelogram is a quadrilateral

the perimeter of a parallelogram is the sum of the lengths of all sides


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).