ASVAB Math Knowledge Practice Test 774690 Results

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

Review

The endpoints of this line segment are at (-2, -7) and (2, -1). What is the slope of this line?

46% Answer Correctly

	-3
	\(\frac{1}{2}\)
	-1\(\frac{1}{2}\)
	1\(\frac{1}{2}\)

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -7) and (2, -1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)

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

76% Answer Correctly

	a = π d²
	a = π r²
	a = π d
	a = π r

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.

What is the circumference of a circle with a radius of 19?

70% Answer Correctly

	14π
	7π
	38π
	9π

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 * 19)
c = 38π

Solve for c:
-4c - 3 = 2 + 2c

58% Answer Correctly

	\(\frac{1}{3}\)
	1\(\frac{1}{3}\)
	\(\frac{1}{4}\)
	-\(\frac{5}{6}\)

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.

-4c - 3 = 2 + 2c
-4c = 2 + 2c + 3
-4c - 2c = 2 + 3
-6c = 5
c = \( \frac{5}{-6} \)
c = -\(\frac{5}{6}\)

Which of the following statements about math operations is incorrect?

70% Answer Correctly

	you can subtract monomials that have the same variable and the same exponent
	you can add monomials that have the same variable and the same exponent
	all of these statements are correct
	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.