ASVAB Math Knowledge Practice Test 40468 Results

Your Results Global Average
Questions 5 5
Correct 0 2.88
Score 0% 58%

Review

1

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can multiply monomials that have different variables and different exponents

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

all of these statements are correct


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.


2

Solve for c:
-6c + 7 = \( \frac{c}{6} \)

46% Answer Correctly
-1\(\frac{7}{33}\)
1\(\frac{3}{17}\)
-1\(\frac{1}{7}\)
1\(\frac{5}{37}\)

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.

-6c + 7 = \( \frac{c}{6} \)
6 x (-6c + 7) = c
(6 x -6c) + (6 x 7) = c
-36c + 42 = c
-36c + 42 - c = 0
-36c - c = -42
-37c = -42
c = \( \frac{-42}{-37} \)
c = 1\(\frac{5}{37}\)


3

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

chord

circumference

radius

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


4

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

49% Answer Correctly

the area of a parallelogram is base x height

opposite sides and adjacent angles are equal

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).


5

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

76% Answer Correctly

a = π r2

a = π r

a = π d

a = π d2


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.