ASVAB Math Knowledge Practice Test 239375 Results

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

Review

1

Find the value of b:
-2b + y = -6
3b - 8y = 7

41% Answer Correctly
2\(\frac{2}{13}\)
3\(\frac{2}{13}\)
1
-3\(\frac{9}{17}\)

Solution

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

-2b + y = -6
y = -6 + 2b

then substitute the result (-6 - -2b) into the second equation:

3b - 8(-6 + 2b) = 7
3b + (-8 x -6) + (-8 x 2b) = 7
3b + 48 - 16b = 7
3b - 16b = 7 - 48
-13b = -41
b = \( \frac{-41}{-13} \)
b = 3\(\frac{2}{13}\)


2

Simplify (6a)(5ab) + (6a2)(3b).

65% Answer Correctly
-12ab2
12ab2
48a2b
99ab2

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.

(6a)(5ab) + (6a2)(3b)
(6 x 5)(a x a x b) + (6 x 3)(a2 x b)
(30)(a1+1 x b) + (18)(a2b)
30a2b + 18a2b
48a2b


3

A coordinate grid is composed of which of the following?

88% Answer Correctly

y-axis

origin

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.


4

If side a = 3, side b = 3, what is the length of the hypotenuse of this right triangle?

63% Answer Correctly
\( \sqrt{18} \)
\( \sqrt{85} \)
\( \sqrt{2} \)
\( \sqrt{90} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 32 + 32
c2 = 9 + 9
c2 = 18
c = \( \sqrt{18} \)


5

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

acute, obtuse, right

acute, right, obtuse

right, acute, obtuse

right, obtuse, acute


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.