ASVAB Math Knowledge Practice Test 944349 Results

Your Results Global Average
Questions 5 5
Correct 0 2.75
Score 0% 55%

Review

1

If a = c = 7, b = d = 8, what is the area of this rectangle?

80% Answer Correctly
36
42
54
56

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 7 x 8
a = 56


2

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

36% Answer Correctly

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

all acute angles equal each other

same-side interior angles are complementary and equal each other

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


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°).


3

Find the value of b:
-3b + x = -1
-8b + 7x = 9

42% Answer Correctly
-\(\frac{8}{9}\)
1\(\frac{3}{13}\)
1\(\frac{32}{43}\)
3

Solution

You need to find the value of b so solve the first equation in terms of x:

-3b + x = -1
x = -1 + 3b

then substitute the result (-1 - -3b) into the second equation:

-8b + 7(-1 + 3b) = 9
-8b + (7 x -1) + (7 x 3b) = 9
-8b - 7 + 21b = 9
-8b + 21b = 9 + 7
13b = 16
b = \( \frac{16}{13} \)
b = 1\(\frac{3}{13}\)


4

Which of the following statements about math operations is incorrect?

70% Answer Correctly

all of these statements are correct

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

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.


5

The endpoints of this line segment are at (-2, -8) and (2, 4). What is the slope of this line?

46% Answer Correctly
1\(\frac{1}{2}\)
2
-2\(\frac{1}{2}\)
3

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, -8) and (2, 4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-8.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)
m = 3