ASVAB Math Knowledge Practice Test 290753 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

Which of the following statements about math operations is incorrect?

71% Answer Correctly

all of these statements are correct

you can subtract monomials that have the same variable and the same exponent

you can multiply monomials that have different variables and different exponents

you can add monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


2

Factor y2 + 4y + 3

54% Answer Correctly
(y + 1)(y - 3)
(y - 1)(y - 3)
(y - 1)(y + 3)
(y + 1)(y + 3)

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 3 as well and sum (Inside, Outside) to equal 4. For this problem, those two numbers are 1 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 4y + 3
y2 + (1 + 3)y + (1 x 3)
(y + 1)(y + 3)


3

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

54% Answer Correctly

isosceles and right

equilateral and isosceles

equilateral and right

equilateral, 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

Simplify (y + 7)(y + 9)

64% Answer Correctly
y2 + 2y - 63
y2 - 2y - 63
y2 + 16y + 63
y2 - 16y + 63

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 + 7)(y + 9)
(y x y) + (y x 9) + (7 x y) + (7 x 9)
y2 + 9y + 7y + 63
y2 + 16y + 63


5

The dimensions of this cube are height (h) = 1, length (l) = 7, and width (w) = 3. What is the volume?

83% Answer Correctly
150
21
120
144

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 1 x 7 x 3
v = 21