ASVAB Math Knowledge Practice Test 591976 Results

Your Results Global Average
Questions 5 5
Correct 0 3.04
Score 0% 61%

Review

1

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

quadrilateral

rhombus

trapezoid

triangle
Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.

2

Which of the following statements about math operations is incorrect?

70% Answer Correctly

all of these statements are correct

you can add monomials that have the same variable and the same exponent

you can subtract monomials that have the same variable and the same exponent

you can multiply monomials that have different variables and different exponents
Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.

3

What is 4a - 4a?

79% Answer Correctly
a2
0a
16a2
16a
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 - 4a = 0a

4

The dimensions of this cube are height (h) = 4, length (l) = 4, and width (w) = 2. What is the surface area?

51% Answer Correctly
228
64
78
120
Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 4 x 2) + (2 x 2 x 4) + (2 x 4 x 4)
sa = (16) + (16) + (32)
sa = 64

5

The dimensions of this trapezoid are a = 5, b = 5, c = 8, d = 6, and h = 3. What is the area?

50% Answer Correctly
16\(\frac{1}{2}\)
16
24
26
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(5 + 6)(3)
a = ½(11)(3)
a = ½(33) = \( \frac{33}{2} \)
a = 16\(\frac{1}{2}\)