ASVAB Math Knowledge Practice Test 65047 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

If the base of this triangle is 2 and the height is 9, what is the area?

58% Answer Correctly
9
66
84\(\frac{1}{2}\)
70

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 2 x 9 = \( \frac{18}{2} \) = 9


2

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

63% Answer Correctly

all interior angles are right angles

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


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).


3

Solve for c:
c2 + 3c - 41 = -c + 4

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

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 + 3c - 41 = -c + 4
c2 + 3c - 41 - 4 = -c
c2 + 3c + c - 45 = 0
c2 + 4c - 45 = 0

Next, factor the quadratic equation:

c2 + 4c - 45 = 0
(c - 5)(c + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 5) or (c + 9) must equal zero:

If (c - 5) = 0, c must equal 5
If (c + 9) = 0, c must equal -9

So the solution is that c = 5 or -9


4

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

h2 x l2 x w2

2lw x 2wh + 2lh

h x l x w

lw x wh + lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


5

Which of the following expressions contains exactly two terms?

82% Answer Correctly

monomial

polynomial

binomial

quadratic


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.