ASVAB Math Knowledge Practice Test 34112 Results

Your Results Global Average
Questions 5 5
Correct 0 2.87
Score 0% 57%

Review

1

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

trapezoid

quadrilateral

rhombus

triangle


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


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 of the angles formed by a transversal are called interior angles

same-side interior angles are complementary and equal each other

all acute angles 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°).


3

Find the value of c:
c + x = 1
c + 2x = 4

42% Answer Correctly
\(\frac{26}{27}\)
-2
1\(\frac{5}{29}\)
-1\(\frac{6}{17}\)

Solution

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

c + x = 1
x = 1 - c

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

c + 2(1 - c) = 4
c + (2 x 1) + (2 x -c) = 4
c + 2 - 2c = 4
c - 2c = 4 - 2
-c = 2
c = \( \frac{2}{-1} \)
c = -2


4

What is 5a - 8a?

79% Answer Correctly
40a
13a2
-3a
40a2

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.

5a - 8a = -3a


5

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

79% Answer Correctly
4
56
16
7

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