ASVAB Math Knowledge Practice Test 238820 Results

Your Results Global Average
Questions 5 5
Correct 0 2.81
Score 0% 56%

Review

1

The dimensions of this trapezoid are a = 5, b = 4, c = 6, d = 7, and h = 4. What is the area?

50% Answer Correctly
24
12\(\frac{1}{2}\)
34
22

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(4 + 7)(4)
a = ½(11)(4)
a = ½(44) = \( \frac{44}{2} \)
a = 22


2

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

49% Answer Correctly

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

opposite sides and adjacent angles are equal

the area of a parallelogram is base x height

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).


3

What is 4a - 2a?

79% Answer Correctly
8a
6
2a
2

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

4a - 2a = 2a


4

Solve for c:
c2 - 12c + 13 = -2c + 4

48% Answer Correctly
-1 or -8
1 or 9
2 or -1
5 or 5

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:

c2 - 12c + 13 = -2c + 4
c2 - 12c + 13 - 4 = -2c
c2 - 12c + 2c + 9 = 0
c2 - 10c + 9 = 0

Next, factor the quadratic equation:

c2 - 10c + 9 = 0
(c - 1)(c - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 1) or (c - 9) must equal zero:

If (c - 1) = 0, c must equal 1
If (c - 9) = 0, c must equal 9

So the solution is that c = 1 or 9


5

Which types of triangles will always have at least two sides of equal length?

53% Answer Correctly

equilateral and isosceles

equilateral, isosceles and right

isosceles and right

equilateral and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.