ASVAB Math Knowledge Practice Test 818471 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

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

63% Answer Correctly

the area is length x width

the lengths of all sides are equal

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

all interior angles are right angles


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

Solve for a:
-7a - 7 = \( \frac{a}{9} \)

46% Answer Correctly
-1\(\frac{1}{34}\)
\(\frac{30}{43}\)
14
-\(\frac{63}{64}\)

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 equal sign and the answer on the other.

-7a - 7 = \( \frac{a}{9} \)
9 x (-7a - 7) = a
(9 x -7a) + (9 x -7) = a
-63a - 63 = a
-63a - 63 - a = 0
-63a - a = 63
-64a = 63
a = \( \frac{63}{-64} \)
a = -\(\frac{63}{64}\)


3

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

77% Answer Correctly

a = π d2

a = π d

a = π r2

a = π r


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.


4

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

50% Answer Correctly

the area of a parallelogram is base x height

a parallelogram is a quadrilateral

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

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).


5

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

expression

equation

formula

problem


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.