Name___________________________________ Date ______________ Period _________ Topic ______
Writing Two Step Equations – 2
1. John had a total of $390 budgeted to go jet skiing on vacation. The cost of renting a
jet ski is $40 plus $50 per hour of use. How many hours can John rent the jet ski for?
Define x:
Equation:
Answer:
2. When an alligator is born it is about 8 inches long and grows at a rate of 12 inches a
year. Determine how old an alligator is that is 116 inches long.
Define x:
Equation:
Answer:
3. Membership to a gym is $5 a visit with a $40 initial fee. If Sara’s bill was $105, how many
times had she visited the gym since joining?
Define x:
Equation:
Answer:
4. Entrance to a theme park is $45 a person with a parking fee of $20 for the day. One
family spent a total of $245. How many members were in the family that went to the
theme park that day?
Define x:
Equation:
Answer:
5. A rental car company charges a fee of $0.50 per mile and a flat fee of $250 for renting
a car. How many miles did you drive if the bill came to $330?
Define x:
Equation:
Answer:
6. It costs $175 to rent a moon bounce for a birthday party and $15 for each day you
keep it. If your parents paid $235 for the moon bounce, how many days did they have
it for?
Define x:
Equation:
Answer:
7. Suppose that the water level of a river is at 34 feet and is receding (going down)at a
rate of 0.5 feet per day. In how many days will the water level be 26 feet?
Define x:
Equation:
Answer:
8. A water tank contained 57 gallons of water, when it got a leak and lost 1.5 gallons per
minute. If the tank currently had 33 gallons of water left, how long had it been leaking
for?
Define x:
Equation:
Answer:
9. Tammy is training for a marathon. She ran 3 miles from home to a lake, twice around
the lake and then home again. She ran 11 miles total. How far is it around the lake?
Define x:
Equation:
Answer:
10. The triangle below has a perimeter of 36 inches. Write and solve an equation to find
the value of x that makes this true.
Equation:
3x
2x
11
Answer:
11. The perimeter of the rectangle shown below is equal to the perimeter of the triangle.
Write and solve an equation to determine the value of x in the rectangle.
Equation:
2x
9
9
3
8
Answer:
12. The rectangle below has an area of 24 in2. Write and solve an equation to find the
value of x that makes this true.
x+3
Equation:
4
Answer:
Writing Two Step Equations – 2 Answer Key
1. Let x = # of hours John can rent the jet ski
40 + 50x = 390
Answer: 7 hours
2. Let x = The age of an alligator that is 116 inches long
8 + 12x = 116
Answer: 9 years old
3. Let x = # of times Sara visits the gym
40 + 5x = 105
Answer: 13 times
4. Let x = # of members of the family that went to the park
20 + 45x = 245
Answer: 5 people
5. Let x = # of miles driven
250 + 0.5x = 330
Answer: 160 miles
6. Let x = # of days you rent the moon bounce
175 + 15x = 235
Answer: 4 days
7. Let x = # of days before the water level reaches 26 feet
34 – 0.5x = 26
Answer: 16 days
8. Let x = # of minutes that the tank was leaking
57 – 1.5x = 33
Answer: 16 minutes
9. Let x = distance around the lake
6 + 2x = 11
Answer: 2.5 miles
10. 5x + 11 = 36
Answer: 5 inches
11. 4x + 6 = 26
Answer: x = 5 units
12. 4(x + 3) = 24
Answer: 3 inches
Writing Two Step Equations – 1 Answer Key
1. Let x = # of videos rented
20 + 2x = 68
Answer: 24 videos
2. Let x = # of minutes Baxter has been filling the tank
55 + 8x = 103
Answer: 6 minutes
3. Let x = # of minutes you have been draining the tub
22 – 1.5x = 11.5
Answer: 7 minutes
4. Let x = # of pies ordered
8 + 5x = 33
Answer: 5 medium pies
5. Let x = # of hours Michelle worked
70 + 3.50x = 91
Answer: 6 hours
6. Let x = # of miles driven
150 + 0.5x = 225
Answer: 150 miles
7. Let x = # of games bowled
2.25 + 3.50x = 16.25
Answer: 4 games
8. Let x = amount of money Molly needs to save per week
250 + 70x = 1720
Answer: 21 weeks
9. Let x = # of songs you could get
5 + 0.99x = 24.80
Answer: 20 songs
10. 5x + 11 = 51
Answer: 8 inches
11. 4x + 6 = 34
Answer: x = 7 units
12. 4(x + 3) = 40
Answer: 7 inches
Name___________________________________ Date __________ Period _________ Topic _________
Writing Two Step Equations - 1
1. A video rental store charges a $20 membership fee and $2 for each video rented. If a
new member paid the store $68 in the last 3 months, how many videos were rented?
Define x:
Equation:
Answer:
2. A water tank already contains 55 gallons of water when Baxter begins to fill it. Water
flows into the tank at a rate of 8 gallons per minute. How many minutes has Baxter
been filling the tank if it is currently 103 gallons full?
Define x:
Equation:
Answer:
3. A bathtub is filled with 22 gallons of water and is drained at 1.5 gallons per minute. If
the bathtub is currently still 11.5 gallons full, how many minutes have you been draining
it for?
Equation:
Answer:
4. Pizza Hut is offering a deal on Thursday nights. Order a large pizza for $8 and get each
additional medium pizza for $5. Amy and her friends were hungry and ordered $33
worth of pizza. How many medium pies did they get?
Define x:
Equation:
Answer:
5. Michelle is a waitress and made $91 at work today. She gets paid $3.50 an hour and
made $70 in tips. For how many hours did Michelle work?
Define x:
Equation:
Answer:
6. A rental car company charges a fee of $0.50 per mile and a flat fee of $150 for renting
a car. How many miles did you drive if the bill came to $225?
Define x:
Equation:
Answer:
7. Bowling costs $2.25 to rent shoes and $3.50 per game. If Ivan paid $16.25, how many
games did he play?
Define x:
Equation:
Answer:
8. Molly is saving a trip and currently has $250 saved up. She needs a total of $1720 and
saves $70 per week. After how many weeks will Molly have enough money saved for
her trip?
Define x:
Equation:
Answer:
9. When you join certain music download sites, there is a monthly fee. Napster has a
monthly fee of $5.00 and a cost of $0.99 per song. How many songs could I get if I had
put $24.80 into my Napster account in the beginning of the month?
Define x:
Equation:
Answer:
10. The triangle below has a perimeter of 51 inches. Write and solve an equation to find
the value of x that makes this true.
Equation:
3x
2x
11
Answer:
11. The perimeter of the rectangle shown below is equal to the perimeter of the triangle.
Write and solve an equation to determine the value of x in the rectangle.
Equation:
2x
12
3
12
10
Answer:
12. The rectangle below has an area of 40 in2. Write and solve an equation to find the
value of x that makes this true.
x+3
Equation:
4
Answer: