ASVAB Math Knowledge Practice Test 145646 Results

Your Results Global Average
Questions 5 5
Correct 0 2.51
Score 0% 50%

Review

1

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

54% Answer Correctly

equilateral and isosceles

equilateral and right

isosceles and right

equilateral, isosceles 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.


2

What is 6a - 6a?

80% Answer Correctly
0a
36a
12a2
0

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.

6a - 6a = 0a


3

Solve 3a - 7a = a + 8y + 4 for a in terms of y.

34% Answer Correctly
-\(\frac{1}{9}\)y - \(\frac{8}{9}\)
-\(\frac{3}{5}\)y + 1\(\frac{4}{5}\)
7\(\frac{1}{2}\)y + 2
\(\frac{7}{11}\)y + \(\frac{1}{11}\)

Solution

To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.

3a - 7y = a + 8y + 4
3a = a + 8y + 4 + 7y
3a - a = 8y + 4 + 7y
2a = 15y + 4
a = \( \frac{15y + 4}{2} \)
a = \( \frac{15y}{2} \) + \( \frac{4}{2} \)
a = 7\(\frac{1}{2}\)y + 2


4

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

all acute angles equal each other

angles in the same position on different parallel lines are called corresponding angles

all of the angles formed by a transversal are called interior angles

same-side interior angles are complementary and equal each other


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


5

Solve for c:
-5c + 4 = \( \frac{c}{-5} \)

46% Answer Correctly
-3
\(\frac{5}{6}\)
-3\(\frac{3}{7}\)
-\(\frac{28}{43}\)

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.

-5c + 4 = \( \frac{c}{-5} \)
-5 x (-5c + 4) = c
(-5 x -5c) + (-5 x 4) = c
25c - 20 = c
25c - 20 - c = 0
25c - c = 20
24c = 20
c = \( \frac{20}{24} \)
c = \(\frac{5}{6}\)