ASVAB Math Knowledge Practice Test 782976 Results

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

Review

1

A coordinate grid is composed of which of the following?

88% Answer Correctly

origin

y-axis

all of these

x-axis


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


2

The dimensions of this cylinder are height (h) = 2 and radius (r) = 1. What is the surface area?

48% Answer Correctly
44π
88π
126π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 2)
sa = 2π(1) + 2π(2)
sa = (2 x 1)π + (2 x 2)π
sa = 2π + 4π
sa = 6π


3

Simplify (4a)(3ab) + (8a2)(8b).

65% Answer Correctly
76a2b
112ab2
112a2b
-52a2b

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.

(4a)(3ab) + (8a2)(8b)
(4 x 3)(a x a x b) + (8 x 8)(a2 x b)
(12)(a1+1 x b) + (64)(a2b)
12a2b + 64a2b
76a2b


4

Find the value of b:
-4b + z = -1
-9b + z = 2

42% Answer Correctly
-\(\frac{4}{7}\)
-2
-\(\frac{3}{5}\)
\(\frac{3}{4}\)

Solution

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

-4b + z = -1
z = -1 + 4b

then substitute the result (-1 - -4b) into the second equation:

-9b + 1(-1 + 4b) = 2
-9b + (1 x -1) + (1 x 4b) = 2
-9b - 1 + 4b = 2
-9b + 4b = 2 + 1
-5b = 3
b = \( \frac{3}{-5} \)
b = -\(\frac{3}{5}\)


5

If a = 3, b = 3, c = 6, and d = 3, what is the perimeter of this quadrilateral?

88% Answer Correctly
31
15
20
26

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 3 + 3 + 6 + 3
p = 15