ASVAB Math Knowledge Practice Test 878737 Results

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

Review

1

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

49% Answer Correctly

a parallelogram is a quadrilateral

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

the area of a parallelogram is base x height

opposite sides and adjacent angles are equal


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).


2

Solve for x:
-7x - 3 > -6 - 3x

54% Answer Correctly
x > \(\frac{3}{4}\)
x > \(\frac{1}{3}\)
x > -\(\frac{7}{8}\)
x > -5

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.

-7x - 3 > -6 - 3x
-7x > -6 - 3x + 3
-7x + 3x > -6 + 3
-4x > -3
x > \( \frac{-3}{-4} \)
x > \(\frac{3}{4}\)


3

Which of the following statements about math operations is incorrect?

70% Answer Correctly

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

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

you can multiply monomials that have different variables and different exponents

all of these statements are correct


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.


4

Simplify (y - 8)(y - 7)

62% Answer Correctly
y2 - 15y + 56
y2 - y - 56
y2 + 15y + 56
y2 + y - 56

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 - 8)(y - 7)
(y x y) + (y x -7) + (-8 x y) + (-8 x -7)
y2 - 7y - 8y + 56
y2 - 15y + 56


5

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

87% Answer Correctly

pairs

addition

division

exponents


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)