ASVAB Math Knowledge Practice Test 682827 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the lengths of all sides are equal

all interior angles are right angles

the area is length x width

the perimeter is the sum of the lengths of all four sides


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


2

The dimensions of this cube are height (h) = 8, length (l) = 9, and width (w) = 9. What is the volume?

83% Answer Correctly
648
168
96
10

Solution

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

v = h x l x w
v = 8 x 9 x 9
v = 648


3

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

50% Answer Correctly

a parallelogram is a quadrilateral

the area of a parallelogram is base x height

opposite sides and adjacent angles are equal

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).


4

Simplify (y - 9)(y - 6)

63% Answer Correctly
y2 + 15y + 54
y2 - 15y + 54
y2 + 3y - 54
y2 - 3y - 54

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 - 9)(y - 6)
(y x y) + (y x -6) + (-9 x y) + (-9 x -6)
y2 - 6y - 9y + 54
y2 - 15y + 54


5

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

factoring

normalizing

deconstructing

squaring


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.