ASVAB Math Knowledge Practice Test 152244 Results

Your Results Global Average
Questions 5 5
Correct 0 3.31
Score 0% 66%

Review

1

Solve for a:
-7a - 7 > -8 - 3a

55% Answer Correctly
a > -2
a > -\(\frac{3}{4}\)
a > \(\frac{1}{4}\)
a > -1

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 > sign and the answer on the other.

-7a - 7 > -8 - 3a
-7a > -8 - 3a + 7
-7a + 3a > -8 + 7
-4a > -1
a > \( \frac{-1}{-4} \)
a > \(\frac{1}{4}\)


2

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

54% Answer Correctly

4π r2

π r2h2

π r2h

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.


3

What is 2a + 5a?

81% Answer Correctly
7a2
7a
-3
10a2

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.

2a + 5a = 7a


4

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

63% Answer Correctly

the area is length x width

the lengths of all sides are equal

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

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).


5

A(n) __________ is two expressions separated by an equal sign.

77% Answer Correctly

formula

problem

expression

equation


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.