ASVAB Math Knowledge Practice Test 350435 Results

Your Results Global Average
Questions 5 5
Correct 0 3.39
Score 0% 68%

Review

1

If a = c = 2, b = d = 5, what is the area of this rectangle?

80% Answer Correctly
36
2
10
63

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 2 x 5
a = 10


2

Solve for a:
a2 - 7a - 19 = -4a - 1

48% Answer Correctly
7 or 6
5 or -1
-3 or 6
2 or -3

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

a2 - 7a - 19 = -4a - 1
a2 - 7a - 19 + 1 = -4a
a2 - 7a + 4a - 18 = 0
a2 - 3a - 18 = 0

Next, factor the quadratic equation:

a2 - 3a - 18 = 0
(a + 3)(a - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 3) or (a - 6) must equal zero:

If (a + 3) = 0, a must equal -3
If (a - 6) = 0, a must equal 6

So the solution is that a = -3 or 6


3

What is the circumference of a circle with a radius of 18?

71% Answer Correctly
18π
36π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 18)
c = 36π


4

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

88% Answer Correctly

pairs

exponents

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.)


5

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

49% Answer Correctly

opposite sides and adjacent angles are equal

the area of a parallelogram is base x height

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

a parallelogram is a quadrilateral


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).