ASVAB Math Knowledge Practice Test 137069 Results

Your Results Global Average
Questions 5 5
Correct 0 2.74
Score 0% 55%

Review

1

Factor y2 - 5y - 24

54% Answer Correctly
(y + 8)(y - 3)
(y + 8)(y + 3)
(y - 8)(y - 3)
(y - 8)(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 -24 as well and sum (Inside, Outside) to equal -5. For this problem, those two numbers are -8 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 5y - 24
y2 + (-8 + 3)y + (-8 x 3)
(y - 8)(y + 3)


2

The dimensions of this cube are height (h) = 8, length (l) = 1, and width (w) = 1. What is the surface area?

51% Answer Correctly
160
58
34
52

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 1 x 1) + (2 x 1 x 8) + (2 x 1 x 8)
sa = (2) + (16) + (16)
sa = 34


3

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

92% Answer Correctly

exponents

pairs

division

addition


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.)


4

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π r

c = π d

c = π d2

c = π r2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


5

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

50% Answer Correctly

opposite sides and adjacent angles are equal

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

a parallelogram is a quadrilateral

the area of a parallelogram is base x height


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).