ASVAB Math Knowledge Practice Test 614067 Results

Your Results Global Average
Questions 5 5
Correct 0 3.35
Score 0% 67%

Review

1

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

54% Answer Correctly

2(π r2) + 2π rh

4π r2

π r2h

π r2h2


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.


2

What is 7a6 + 8a6?

75% Answer Correctly
a612
15a6
56a6
-a12

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.

7a6 + 8a6 = 15a6


3

Solve for a:
-5a + 2 = \( \frac{a}{3} \)

46% Answer Correctly
-\(\frac{30}{49}\)
\(\frac{3}{8}\)
-1\(\frac{17}{19}\)
\(\frac{18}{49}\)

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.

-5a + 2 = \( \frac{a}{3} \)
3 x (-5a + 2) = a
(3 x -5a) + (3 x 2) = a
-15a + 6 = a
-15a + 6 - a = 0
-15a - a = -6
-16a = -6
a = \( \frac{-6}{-16} \)
a = \(\frac{3}{8}\)


4

A quadrilateral is a shape with __________ sides.

91% Answer Correctly

4

2

3

5


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


5

If b = -5 and x = -3, what is the value of -7b(b - x)?

69% Answer Correctly
90
-156
-70
30

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.)

-7b(b - x)
-7(-5)(-5 + 3)
-7(-5)(-2)
(35)(-2)
-70