ASVAB Math Knowledge Practice Test 363963 Results

Your Results Global Average
Questions 5 5
Correct 0 3.27
Score 0% 65%

Review

1

If side x = 6cm, side y = 15cm, and side z = 15cm what is the perimeter of this triangle?

84% Answer Correctly
32cm
28cm
31cm
36cm
Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 6cm + 15cm + 15cm = 36cm

2

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

factoring

squaring

normalizing

deconstructing
Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

3

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

all of these statements are correct

you can add 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.

4

Solve for z:
z - 9 < \( \frac{z}{-1} \)

44% Answer Correctly
z < -2\(\frac{11}{35}\)
z < 4\(\frac{1}{2}\)
z < -\(\frac{12}{25}\)
z < -\(\frac{9}{19}\)
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 < sign and the answer on the other.

z - 9 < \( \frac{z}{-1} \)
-1 x (z - 9) < z
(-1 x z) + (-1 x -9) < z
-z + 9 < z
-z + 9 - z < 0
-z - z < -9
-2z < -9
z < \( \frac{-9}{-2} \)
z < 4\(\frac{1}{2}\)

5

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

54% Answer Correctly

isosceles and right

equilateral, isosceles and right

equilateral and isosceles

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.