ASVAB Math Knowledge Practice Test 194285 Results

Your Results Global Average
Questions 5 5
Correct 0 3.05
Score 0% 61%

Review

1

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

63% Answer Correctly

the lengths of all sides are equal

the area is length x width

all interior angles are right angles

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


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).


2

Solve -6b + 2b = 3b + y - 9 for b in terms of y.

34% Answer Correctly
-6y - 3
\(\frac{1}{9}\)y + 1
-3y + \(\frac{1}{2}\)
y - 7

Solution

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

-6b + 2y = 3b + y - 9
-6b = 3b + y - 9 - 2y
-6b - 3b = y - 9 - 2y
-9b = -y - 9
b = \( \frac{-y - 9}{-9} \)
b = \( \frac{-y}{-9} \) + \( \frac{-9}{-9} \)
b = \(\frac{1}{9}\)y + 1


3

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

π r2h

4π r2

π r2h2

2(π r2) + 2π rh


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


4

What is 4a - 8a?

79% Answer Correctly
12
a2
-4
-4a

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.

4a - 8a = -4a


5

If BD = 17 and AD = 18, AB = ?

75% Answer Correctly
7
16
18
1

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 18 - 17
AB = 1