ASVAB Math Knowledge Practice Test 19155 Results

Your Results Global Average
Questions 5 5
Correct 0 2.66
Score 0% 53%

Review

1

Find the value of c:
-8c + z = -6
3c - 5z = -7

42% Answer Correctly
\(\frac{16}{27}\)
1
1\(\frac{2}{7}\)
-\(\frac{6}{31}\)

Solution

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

-8c + z = -6
z = -6 + 8c

then substitute the result (-6 - -8c) into the second equation:

3c - 5(-6 + 8c) = -7
3c + (-5 x -6) + (-5 x 8c) = -7
3c + 30 - 40c = -7
3c - 40c = -7 - 30
-37c = -37
c = \( \frac{-37}{-37} \)
c = 1


2

The dimensions of this cube are height (h) = 6, length (l) = 3, and width (w) = 5. What is the surface area?

51% Answer Correctly
58
158
126
318

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 5) + (2 x 5 x 6) + (2 x 3 x 6)
sa = (30) + (60) + (36)
sa = 126


3

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can add monomials that have the same variable and the same exponent

all of these statements are correct

you can subtract 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

Which of the following statements about a parallelogram is not true?

49% Answer Correctly

a parallelogram is a quadrilateral

the area of a parallelogram is base x height

opposite sides and adjacent angles are equal

the perimeter of a parallelogram is the sum of the lengths of all sides


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).


5

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

51% Answer Correctly

rhombus

triangle

trapezoid

quadrilateral


Solution

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