ASVAB Math Knowledge Practice Test 899832 Results

Your Results Global Average
Questions 5 5
Correct 0 3.18
Score 0% 64%

Review

1

If c = -1 and y = 3, what is the value of -3c(c - y)?

68% Answer Correctly
-48
-12
12
-224

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-3c(c - y)
-3(-1)(-1 - 3)
-3(-1)(-4)
(3)(-4)
-12


2

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the lengths of all sides are equal

the perimeter is the sum of the lengths of all four sides

the area is length x width

all interior angles are right angles


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


3

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can multiply monomials that have different variables and different exponents

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


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

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

right angle

equal angle

parallel

equal length


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


5

Solve for a:
-3a + 9 = \( \frac{a}{-5} \)

46% Answer Correctly
3\(\frac{3}{14}\)
\(\frac{16}{35}\)
1\(\frac{3}{4}\)
\(\frac{21}{43}\)

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.

-3a + 9 = \( \frac{a}{-5} \)
-5 x (-3a + 9) = a
(-5 x -3a) + (-5 x 9) = a
15a - 45 = a
15a - 45 - a = 0
15a - a = 45
14a = 45
a = \( \frac{45}{14} \)
a = 3\(\frac{3}{14}\)