Free Printable Mixed word problems (linear, inequality)

Worksheets

Mixed word problems (linear, inequality)

Total questions: 14

Worksheet time: 1hrs 26mins

Name

Class

Date

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

y = 3x + 2.5

y = 2.50x + 3

y = 2.50x

y = 3x + 2.50

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.

y=15x-25

15x+25y=100

25x+y=15

y=15x+25

Bob lost 5 points on page one of his math test and he lost 9 points on page two of his math test. Which equation best describes Bob progress on his math test?

5 + 9 = 14

-5 + -9 = -4

-5 + -9 = -14

5 + -9 = -4

WRITE THE EQUATION FOR THIS PROBLEM:

There are 45 students on the football team. This is 13 more than the number of students on the basketball team. How many students are on the basketball team?

45 = 13 + x

45 + 13 =x

43 + 13 = 56

A used mountain bike costs $79.95. This is $120 less than the cost of a new one. If c is the cost of the new bike, which equation can you use to find the cost of a new bike?

120 - 79.95 = c

79.95 = c -120

The difference of a and b is 3. The sum of a and b is 13. Find the values of a and b.

a = 7

b = 10

a = 8

b = 5

a = 10

b = 13

a = 6.5

b = 2

The sum of Mrs. LaRoque's and Mrs. Murphy's ages is 61. The difference is 7. What are their ages?

31 and 31

54 and 7

27 and 34

21 and 40

Gracie sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. She sold 21 tickets total. How many of each type of ticket did Gracie sell?

10 adults, 11 children

12 adults, 9 children

11 adults, 10 children

9 adults, 12 children

On the first night, Raleigh Grande sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.

Adult $13

Child $5

Adult $10

Child $6

Adult $8

Child $16

Adult $12

Child $13

10.

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?

7 months

6 months

5 months

4 months

11.

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

3 hours

4 hours

1 hour

2 hours

12.

Ann wants to spend at most $8.50 on school supplies. She needs to purchase a binder (costs $6.89) and wants to spend the rest on pens, which cost $0.59 each. Which inequality represents this situation, where x is the number of pens Ann can buy?

$6.89+8.50x\le0.59$

$8.50+0.59x\le6.89$

$0.59+6.89x\le8.50$

$6.89+0.59x\le8.50$

13.

Find the solution. The cost of a gallon of orange juice is $3.50. What is the maximum number of containers you can buy for $15?

4 containers

5 containers

4.5 containers

3 containers

14.

Todd caught at least three times as many fish this year as he caught last year. He caught 63 fish this year. What is the fewest amount of fish he could have caught last year?

100 %

Mixed word problems (linear, inequality)

Total questions: 14

Worksheet time: 1hrs 26mins

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