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WorksheetsWriting and solving one step equations
Total questions: 154
Worksheet time: 4hrs 8mins
3x = 44
How should you show your work to isolate the variable and solve the equation?
Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?
t - 9 = 25
t + 9 = 25
9t = 25
t/9 = 25
Which choice models this situation?
Lisa finished a race in 58 seconds. This was 4 seconds faster than her best practice time. What was Lindsey's best practice time?
t + 4 = 58
t - 4 = 58
4t = 58
t/4 = 58
Which choice models this situation?
Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?
h - 5 = 35
h + 5 = 35
5h = 35
h/5 = 35
Which choice models this situation?
At Pierce County Middle School, there are 5 art classes with 24 students in each class. How many students altogether are in the art classes?
s - 5 = 24
s + 5 = 24
5s = 24
s/5 = 24
Which choice models this situation?
Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?
b - 4 = 44
b + 4 = 33
4b = 44
b/4 = 44
Becky is preparing for her younger sister's birthday party. She splits a jar of lollilops evenly among 6 goody bags. Each bag ends up with 4 lollipops.
Which equation can you use to find the number of lollipops n in the jar?
n/6 = 4
n - 4 = 6
4n = 6
n + 6 = 4
Jane is 3 years older than Sam. If Jane 12, how old is Sam?
Pete mows lawns for 15 dollars per hour (h). Write an equation that represents the relationship between hours mowed and total profit (p).
15p = h
ph = 15
15h = p
15 + h = p
Draw a picture showing how you feel today.
What do you know about 1-Step Equations
Nothing
A Little
A Lot
I'm a Master
Which of the following has an equal sign?
Equation
Expression
How is an equation like a balance?
What is the inverse operation of addition?
(a)
In a one step equations, how do you check to see if your answer is correct?
How do you solve a one step equation using subtraction?
What is the inverse operation of multiplication? (a)
How could you write $1.50 per bag. Use the letter b as your variable
(a)
Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. Write an equation that shows how many tickets he still needs to sell.

Tara caught three times as many fish this year than last year. She caught 63 fish by the end of the year. Which equation represents how many fish she caught last year?
3y = 63
3 + y = 63
63 - y = 3
y/3 = 63
Which choice models this situation?
Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?
b - 4 = 44
b + 4 = 33
4b = 44
b/4 = 44
Which choice models this situation?
Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?
h - 5 = 35
h + 5 = 35
5h = 35
h/5 = 35
Which choice models this situation?
Taylor has read 125 pages in a book. The book has a total of 262 pages. How many pages does she have left to read to finish the book?
p - 125 = 262
p + 125 = 262
125p = 262
p/125 = 262
How does the idea of a balance help you solve equations?
How do you feel about this topic?
I will never understand this
I am getting there, with more practice
I am in a good spot
I am an expert
8 = x + 1
x + 7 = 12
4p = 16
2w=58
x/3 = 4
5x = 25
x - 62 = 123
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
4p = 16
p = 10
p = 64
3x = 27.
Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?
t - 9 = 25
t + 9 = 25
9t = 25
t/9 = 25
Which choice models this situation?
Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?
b - 4 = 44
b + 4 = 33
4b = 44
b/4 = 44
Find the value of m: 5m = 10
2
5
50
5 + c = 8
3
13
5
8
Find the value of the variable: 21x = 10
5
20
4
Find the value of the variable: k - 2.14 = 85
82.86
2.99
87.14
Find the value of the variable: 8 =2.5k
5
10
20
Solve for x
x - 7.09 = 10.89
3.8
17.98
18.1
4.2
1/3a = 7/9
Solve the following equation.
0.9k=2.7
*Hint: Do the opposite operation*
k=3
k=2.43
k=1.8
Solve the following equation.
17=0.5p
*Hint: Do the opposite operation*
p=8.5
p=16.5
p=34
p=17.5
In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?
f + 8 = 14
f - 8 = 14
f/8 = 14
8f=14
Charlie has some candy. He shares ten pieces with Betsy and is left with 24 pieces. Which equation should I use to solve this problem?
x +10 = 24
x - 10 = 24
10x = 24
x + 24 = 10
Amy was given an amount of money, m, for a good grades on her report card. She spent $15.00 and now has $25.32. How much money did she get for good grades? Write an equation you could use to solve this problem. Use m as your variable.
m - 25.32 = 15
m/25.32 = 15
m - 15 = 25.32
15m = 25.32
3x = 44
How should you show your work to isolate the variable and solve the equation?
Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?
t - 9 = 25
t + 9 = 25
9t = 25
t/9 = 25
Which choice models this situation?
Lisa finished a race in 58 seconds. This was 4 seconds faster than her best practice time. What was Lindsey's best practice time?
t + 4 = 58
t - 4 = 58
4t = 58
t/4 = 58
Pete mows lawns for 15 dollars per hour (h). Write an equation that represents the relationship between hours mowed and total profit (p).
15p = h
ph = 15
15h = p
15 + h = p
360=−20a
18
380
-18
340
26=n+10
36
2.6
260
16
8=−5+m
3
-40
40
13
20.5 = 4 - x
How should you show your work to isolate the variable and solve the equation?
What operation is the inverse of subtraction?
Addition
Subtraction
Multiplication
Division
The _________ must be alone or isolated on one side of the equation.
constant
coefficient
exponent
variable
Isolate the variable by using __________ or opposite operations.
intricate
inverse
similar
the same
What is the inverse operation of addition?
multiplication
division
subtraction
exponents
What is the inverse operation of subtraction?
division
addition
multiplication
subtraction
To solve a - 4 = 35 you would ...
subtract 4 from both sides of the equation.
add 4 to both sides of the equation.
add a to both sides of the equation.
hope for the best.
To solve n + 23 = 65 you would...
add 23 to both sides of the equation.
add 65 to both sides of the equation.
subtract 65 from both sides of the equation.
subtract 23 from both sides of the equation.
To solve x - 12 = 95 you would...
add 12 to both sides of the equation.
subtract 12 from both sides of the equation.
add 95 to both sides of the equation.
subtract 95 from both sides of the equation.
What is n? n - 6 = 10
n = 4
n = 16
n = 5
n = 60
2y = 18
14m = 28
c / 4 = 4
What are the two basic rules for solving algebraic equations?
Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign
Negative signs can be ignored
Always start on the left side, regardless of where the variable is
Always do the opposite operation
x - 5.5 = 10.5
17 less than H equals 42
6 times z is the same as 48
What is the inverse operation you would use to solve:
6x = 36
Multiply
Divide
Add
Subtract
4p = 16
What does "inverse" mean?
Same as
Opposite
3c = 12
36
4
15
9
10/x = 2
5
20
12
8
Tara caught three times as many fish this year than last year. She caught 63 fish by the end of the year. Which equation represents how many fish she caught last year?
3y = 63
3 + y = 63
63 - y = 3
y/3 = 63
Which choice models this situation?
Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?
b - 4 = 44
b + 4 = 33
4b = 44
b/4 = 44
Which choice models this situation?
Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?
h - 5 = 35
h + 5 = 35
5h = 35
h/5 = 35
Becky is preparing for her younger sister's birthday party. She splits a jar of lollipops evenly among 6 goody bags. Each bag ends up with 4 lollipops. How many lollipops did she start with?
n/6 = 4
4n = 6
At a restaurant, four friends decided to divide the bill evenly. If each person paid $13 then which equation can you use to find what the total bill was?
4/x = 13
4x = 13
x/4 = 13
x/3 = 13
Robyn had some video games, then bought 4 more. Now she has a total of 10 games.
3x = 44
How should you show your work to isolate the variable and solve the equation?
Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?
t - 9 = 25
t + 9 = 25
9t = 25
t/9 = 25
Which choice models this situation?
Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?
h - 5 = 35
h + 5 = 35
5h = 35
h/5 = 35
Which choice models this situation?
Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?
b - 4 = 44
b + 4 = 33
4b = 44
b/4 = 44
Jane is 3 years older than Sam. If Jane 12, how old is Sam?
Pete mows lawns for 15 dollars per hour (h). Write an equation that represents the relationship between hours mowed and total profit (p).
15p = h
ph = 15
15h = p
15 + h = p
765 = p - 254
x - 5.5 = 10.5
3x = 27.
X + 8 = 15
c / 4 = 4
y/3=12. What is being done to Y and what do you do to isolate the variable?
Y is being divided by 3, so you need to divide both sides by 3.
3 is being added to Y, so you need to subtract 3 from both sides.
Y is being divided by 3, so you need to multiply both sides by 3.
Y is being divided by 3, so you need to add 3 to both sides.
What do you need to do to both sides to isolate the variable?
Add 5
Subtract 5
Multiply by 5
Divide by 5.
How would you solve this equation: 9x=153?
add 9 to both sides
subtract 9 from both sides
multiply 9 to both sides
divide 9 from both sides
Write an expression for the number of blocks in the left-side pan.
Do not put spaces in your answer.
(a)
Write an expression for the number of blocks in the right-side pan.
Do not put spaces in your answer.
(a)
Since the pans are balanced, you know the expressions are equivalent. Write an equation to show this.
Do not put spaces in your answer.
(a)
What is the operation in the expression x - 3?
addition
subtraction
multiplication
division
What is the inverse operation for the expression x - 3?
addition
subtraction
multiplication
division
How can you isolate the variable in x - 3 = 7?
add 3 to the left side
subtract 3 from the left side
add 7 to the left side
subtract 7 from the left side
When you isolate the variable, what must you do to keep the equation balanced?
x - 3 = 7
Add 3 to 7
Subtract 3 from 7
Add 7 to x
Subtract 7 from x
Fill in the blank (the same thing goes in both blanks)
x−3=7
Step 1: x - 3 ___ = 7 ___
+ 3
- 3
+ 7
- 7
Fill in the blank (the same thing goes in both blanks)
x−3=7
Step 1: x - 3 +3 = 7 +3
Step 2: x = _____
10
4
14
0
Solve x + 5 = 15
Remember to practice writing out the steps even if it is easy.
x = (a)
Solve x - 9 = 8
Remember to practice writing out the steps even if it is easy.
x = (a)
