WorksheetsSolving Equations & Inequalities Word Problems
Total questions: 32
Worksheet time: 1hrs 20mins
Name
Class
Date
1.
WRITE AN EQUATION
Lilli spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
Lilli spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
a)
-x/2 + 4 = 12
b)
x/2 - 4 = 12
c)
12 - 4 = x
d)
12 - 4 = -x/2
2.
WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?
a)
4x=472
b)
9x=472
c)
4+9x=472
d)
4+x=472
3.
After paying $5.12 for a salad, Kamauri has $27.10. How much money did he have before buying the salad?
a)
n + $5.12 = $27.10
b)
n - $5.12 = $27.10
c)
n - $5.12 = -$27.10
d)
$5.12 - n = $27.10
4.
Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112?
a)
14h = 112
b)
14 / h = 112
c)
h + 14 = 112
d)
h - 14 = 112
5.
In this soccer season, Emma has scored 1 more than twice the number of Nick's goals. If Emma has scored 15 goals, which equation can be used to find x, the number of Nick's goals?
a)
x - 15 = 1
b)
x + 1 = 15
c)
2x + 1 = 15
d)
x + 1 = x + 15
6.
Which equation would describe "two times a number plus five equals 15"?
a)
x + 5 = 15
b)
2x + 5=15
c)
x + 2(5) = 15
d)
2(x + 5) = 15
7.
A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?
a)
18 miles
b)
20 miles
c)
22 miles
8.
Talk time Phone Company charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for its phone service. Which equation below can be used to find c, the total cost for one month when m, minutes are used?
a)
c = 0.12m + 8m
b)
c = 8m + 0.12m
c)
c = 0.12m + 8
d)
c = 0.20m
9.
Daniel is paid $10 per week for selling newspaper subscriptions. He is also paid $3.50 for each new customer (x) that signs up for the subscription. Which equation represents the amount (y) Daniel earns per week?
a)
y = 3.5x
b)
y= 10 + x
c)
y = 10 + 35x
d)
y = 10 + 3.5x
10.
Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?
a)
29 - n = 41
b)
29 - n = 40
c)
29 + n = 41
d)
29 + n = 40
11.
What is the first step to solve this equation:
-3x + 11 = 44
-3x + 11 = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
12.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side.
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
13.
What is the first step in solving this equation:
5x + 7 = 12
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
14.
What is the first step to solve this equation:
11 - 3x = 44
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
15.
The steps in solving 5b - 6 = 24 are:
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
16.
2x + 1 = 6
What would the first step be in solving this equation?
a)
Divide by 2
b)
Subtract 1
c)
Subtract 6
d)
Times 2
17.
Look at the work. What was done incorrectly?
a)
Don't divide by 2 first
b)
Don't add 7 to both sides
c)
It's correct!
d)
They should have subtracted 7
18.
Look at the work. What SHOULD have been the first step?
a)
It's correct!
b)
Subtract 1 on both sides
c)
Add 5 on both sides
d)
Divide by 3 on both sides
19.
How do you know when an equation has been solved and your work is done?
a)
When you get a whole number
b)
After you add or subtract
c)
When x is by itself on one side of the equal sign
d)
When there are no more variables
20.
The goal of solving two-step equations is to:
a)
Make life difficult
b)
Find the coefficient
c)
Find the value of the variable
d)
Make everything equal zero
21.
What is the inverse operation needed to solve for p?
765 = p - 254
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
22.
c+29≥68
Solve for c
(a)
23.
A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?
a)
1.75n + 0.75 ≥ 20
b)
1.75n + 0.75 ≤ 20
c)
0.75n + 1.75 ≥ 20
d)
0.75n + 1.75 ≤ 20
24.
The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?
a)
30x + 600 > 1,500
b)
30x + 600 ≥ 1,500
c)
30x + 600 < 1,500
d)
30x + 600 < 1,500
25.
Eleni bought 2 pounds of grapes at a cost of $3.49 per pound. She paid with a $10 bill. How much change did she get back?
a)
$3.02
b)
$4.51
c)
$6.51
d)
$6.98
26.
Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.
You are driving, and the maximum speed limit is 55.
a)
s < 55
b)
s > 55
c)
s ≤ 55
d)
s ≥ 55
27.
Which sentence represents m > 41?
a)
Mary’s points, m, totaled more than 41
b)
Calvin ran no less than 41 miles, m
c)
The temperature, m, was less than 41°F
d)
The magazines’ cost, m, was not more than $41.
28.
Which represents the word sentence as an inequality?
A number w is smaller than 5.
A number w is smaller than 5.
a)
w < 5
b)
w > 5
c)
w ≤ 5
d)
w ≥ 5
29.
Which inequality represents the statement below. I can have no more than 10 pieces of candy.
a)
x ≥ 10
b)
x > 10
c)
x ≤ 10
d)
x < 10
30.
Erin can read at least 80 words per minute. Write an inequality to show this situation.
a)
x > 80
b)
x < 80
c)
x ≥ 80
d)
x ≤ 80
31.
A parking garage charges $4.50 for each hour you park. You have $18 in your pocket. How many hours can you park?
a)
x > 4
b)
x < 4
c)
x ≤ 4
d)
x ≥ 4
32.
Sam make $10.25 per hour working at Cheddars. He plans to buy a laptop for $550. Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)
a)
10.25h < 550; less than 54 hours
b)
10.25h > 550; greater than 54 hours
c)
10.25h ≤ 550; at most 54 hours
d)
10.25h ≥ 550; at least 54 hours
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