Two Step Equations Word Problem Practice

Math Response

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Use x to represent the # of students on each bus.

Write an equation that matches this situation.

Type answer here

Correct Answer: 331=6x+7

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Math Response

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Use the equations from the last problem.

$$331=6x+7$$

Type answer here

Correct Answer: 54

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Math Response

A bag of candy was shared equally among 4 friends.  Each friend gave away 7 pieces of candy.  They each ended up with 8 pieces of candy.  Write an equation to find how much candy was in the bag at the beginning. Use x to represent the amount of candy.

Type answer here

Correct Answer: \frac{x}{4}-7=8

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Math Response

A bag of candy was shared equally among 4 friends.  Each friend gave away 7 pieces of candy.  They each ended up with 8 pieces of candy.  Use the equation from the previous question to find the number of pieces originally in the bag.

$$\frac{x}{4}-7=8$$

Type answer here

Correct Answer: 60

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Math Response

A banana has 85 calories. This is 10 calories less than one eighth of the calories in a banana split. If x = # of calories, write an equation to help find the calories in a banana split.

Type answer here

Correct Answer: \frac{1}{8}x-10=85

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Math Response

A banana has 85 calories. This is 10 calories less than one eighth of the calories in a banana split. Use the equation from the previous problem to find the number of calories in a banana split.

$$\frac{1}{8}x-10=85\ \ \ OR\ \ \ \frac{x}{8}-10=85$$

Type answer here

Correct Answer: 760

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Math Response

Mo is thinking of a number. Eleven more than one third of a number is -1. If x = # that Mo is thinking, write an equation to find the number.

Type answer here

Correct Answer: \frac{1}{3}x+11=-1

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Math Response

Mo is thinking of a number. Eleven more than one third of a number is -1. If x = # that Mo is thinking, use the equation from the previous problem to find the number.

$$\frac{1}{3}x+11=-1\ \ \ \ OR\ \ \ \ \frac{x}{3}+11\ =\ -1$$

Type answer here

Correct Answer: -36

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Math Response

Speedy Boat Rental charges an $18.50 deposit fee plus $6.75 for each hour of use to rent a paddle boat.  Write an equation to find out how many hours, x, they rented the Boat if the total cost was $52.25.

Type answer here

Correct Answer: 6.75x+18.50=52.25

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Math Response

Speedy Boat Rental charges an $18.50 deposit fee plus $6.75 for each hour of use to rent a paddle boat.  Use the equation from the previous problem to find out how many hours, x, they rented the Boat if the total cost was $52.25.

$$6.75x+18.50=52.25$$

Type answer here

Correct Answer: 5

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