ASVAB Math Knowledge Practice Test 598225 Results

Your Results Global Average
Questions 5 5
Correct 0 2.49
Score 0% 50%

Review

1

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can multiply monomials that have different variables and different exponents

all of these statements are correct

you can add monomials that have the same variable and the same exponent

you can subtract monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


2

Simplify (9a)(2ab) + (3a2)(6b).

65% Answer Correctly
2b
36a2b
99ab2
36ab2

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)(2ab) + (3a2)(6b)
(9 x 2)(a x a x b) + (3 x 6)(a2 x b)
(18)(a1+1 x b) + (18)(a2b)
18a2b + 18a2b
36a2b


3

On this circle, line segment CD is the:

46% Answer Correctly

diameter

circumference

radius

chord


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


4

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π r2

c = π d2

c = π r

c = π d


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


5

Find the value of a:
-5a + z = -5
4a + 2z = 3

42% Answer Correctly
-\(\frac{4}{11}\)
\(\frac{13}{14}\)
3\(\frac{2}{3}\)
-\(\frac{5}{43}\)

Solution

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

-5a + z = -5
z = -5 + 5a

then substitute the result (-5 - -5a) into the second equation:

4a + 2(-5 + 5a) = 3
4a + (2 x -5) + (2 x 5a) = 3
4a - 10 + 10a = 3
4a + 10a = 3 + 10
14a = 13
a = \( \frac{13}{14} \)
a = \(\frac{13}{14}\)