ASVAB Math Knowledge Practice Test 294318 Results

Your Results Global Average
Questions 5 5
Correct 0 2.95
Score 0% 59%

Review

1

If c = 8 and y = -2, what is the value of 7c(c - y)?

68% Answer Correctly
-385
560
336
-25

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.)

7c(c - y)
7(8)(8 + 2)
7(8)(10)
(56)(10)
560


2

Simplify (9a)(6ab) - (4a2)(7b).

62% Answer Correctly
165a2b
82ab2
26a2b
165ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(9a)(6ab) - (4a2)(7b)
(9 x 6)(a x a x b) - (4 x 7)(a2 x b)
(54)(a1+1 x b) - (28)(a2b)
54a2b - 28a2b
26a2b


3

Find the value of b:
2b + y = -4
-4b + 7y = -4

42% Answer Correctly
1\(\frac{2}{33}\)
-1\(\frac{1}{3}\)
-1\(\frac{3}{31}\)
-\(\frac{3}{26}\)

Solution

You need to find the value of b so solve the first equation in terms of y:

2b + y = -4
y = -4 - 2b

then substitute the result (-4 - 2b) into the second equation:

-4b + 7(-4 - 2b) = -4
-4b + (7 x -4) + (7 x -2b) = -4
-4b - 28 - 14b = -4
-4b - 14b = -4 + 28
-18b = 24
b = \( \frac{24}{-18} \)
b = -1\(\frac{1}{3}\)


4

What is the area of a circle with a diameter of 10?

69% Answer Correctly
16π
25π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π


5

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

53% Answer Correctly

π r2h

π r2h2

4π r2

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.