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Copyright © Swun MathCopyright © Swun Math Grade 8 Unit 4 Lesson 11 P TE

Student Practice

Unit 4 · Lesson 11: Linear Equations: Word Problems

Directions: Write an equation and solve. Label your answer.

1. On a recent shopping trip, Max bought a
   watch that costs $12.75 and six bracelets.
   Each bracelet was the same price. The
   total, before tax, was $38.25. How much
   did each bracelet cost?

n = cost of a bracelet

Solution:

$4.25 per bracelet

2. Five times the sum of a number y and
   eleven is three less than seventeen. Find
   y.

y = a number

Solution:

푦푦= − 8

1

5

3. A delivery truck is carrying 8,742 pounds
   of dog food as its only cargo. At a weigh
   station, the truck weighed 27,642 pounds.
   What is the weight of the empty truck?

x = weight of truck

Solution:

18,900 pounds

4. Sydney bought some plants at $3.79 each.
   After deducting a $10 coupon, the cost of
   the plants was thirty-five dollars and
   forty-eight cents. How many plants did
   Sydney buy?

x = number of plants

Solution:

12 plants

5. Jackson scored 27 points in a game. This
   is 7 more than twice as many points as
   Peter scored. How many points did they
   score together?
   x = Peter’s score

Solution:

Peter scored 10 points. Peter and Jackson scored 37

points together.

6. Paul and Mary scored 114 points together
   in the race. Mary scored 36 points more
   than Paul. How much did each player
   score during the race?

x = Paul’s score

Solution:

Paul scored 39 points and Mary scored 75 points.

Name: ___

Date: ___