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Solving Multiplication and Division Equations

Solving Multiplication and Division Equations
  • Page 1
 1.  
Which inequality is represented by the graph?

a.
9 > 3y
b.
4x < - 2
c.
5x < 10
d.
2x > 4


Answer: (d)


Correct answer : (4)
 2.  
Which of the following is a solution of the equation x - 7 = - 12?
a.
- 5
b.
5
c.
- 19
d.
19


Answer: (a)


Correct answer : (1)
 3.  
Which operation would you use to solve 3x = 1 2?
a.
divide by 1 2
b.
multiply by 2
c.
divide by 3
d.
multiply by 3


Answer: (c)


Correct answer : (3)
 4.  
One out of every five gallons of milk produced worldwide is consumed everyday in the United States. If about 7000000 gallons of milk is consumed a day at this rate, then how much milk is produced per day?
a.
9000000 gallons
b.
35000000 gallons
c.
36000000 gallons
d.
34000000 gallons


Solution:

Let y be the number of gallons of milk produced each day.

15 y = 7000000
[Original equation.]

5 x 15 y = 7000000 x 5
[Multiply by 5 on both sides.]

y = 35000000
[Simplify.]

About 35000000 gallons of milk is produced each day.


Correct answer : (2)
 5.  
Solve:
- 4y = - 124
a.
31
b.
- 31
c.
- 93
d.
62


Solution:

- 4y = - 124
[Original equation.]

- 4y- 4 = - 124- 4
[Divide each side by - 4.]

y = 31
[Simplify.]


Correct answer : (1)
 6.  
Solve for the variable in the equation.
2a = - 6
a.
- 8
b.
- 4
c.
- 3
d.
3


Solution:

2a = - 6
[Original equation.]

(2a)2 = - 62
[Divide each side by 2.]

a = - 3
[Simplify.]


Correct answer : (3)
 7.  
Jim rented a beach cabin at $8 for each day of stay. He paid $64 towards rent. Solve the equation 8D = 64 to find the number of days he stayed in the cabin.
a.
7
b.
9
c.
8
d.
10


Solution:

8 x D = 64
[Original equation.]

8 x D8 = 648
[Divide by 8 on each side.]

D = 8
[Simplify.]

Jim stayed in the cabin for 8 days.


Correct answer : (3)
 8.  
About 2 3 of the population of a country owns a car. What is the total population of the country, if there are about 200,000,000 people with cars?
a.
400,000,000
b.
300,000,000
c.
600, 000,000
d.
200,000,000


Solution:

Let N be the total population of the country.

2 / 3 N = 200,000,000
[Write the data as an equation.]

(3) x 2 / 3 N = (3) x 200,000,000
[Multiply each side by 3.]

2N = 600,000,000
[Simplify.]

2N / 2 = 600,000,000 / 2
[Divide each side by 2.]

N = 300,000,000
[Simplify.]

The total population of the country is 300,000,000.


Correct answer : (2)
 9.  
Solve the equation m- 4 = 6 to find the value of the variable m.
a.
- 24
b.
- 29
c.
- 27
d.
- 25


Solution:

m- 4 = 6
[Original equation.]

(- 4) × m- 4 = (- 4) × 6
[Multiply each side by - 4.]

m = - 24
[Simplify.]

The value of the variable m in the equation is - 24.


Correct answer : (1)
 10.  
Danielle shopped for 4 hours and purchased 20 dresses. Find the average number of dresses she purchased per hour.
a.
7
b.
6
c.
5
d.
4


Solution:

Let d be the average number of dresses Danielle purchased in one hour.

4d = 20
[Write the data as an equation.]

(4d)4 = 204
[Divide each side by 4.]

d = 5
[Simplify.]

The average number of dresses that Danielle purchased in one hour is 5.


Correct answer : (3)

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