Lesson 4.2  Skills Practice Name_________________________________________________________ Date__________________________

Pony Express Interpreting the Standard Form of a Linear Equation

Problem Set Write an expression to represent each problem situation. Evaluate the expression to answer the question. 1. Aiko is walking 2 miles per hour. How far will she walk in 3 hours? Let x equal the number of hours Aiko walks. The expression 2x represents the distance Aiko walks in miles. 2x 5 2(3)

5 6 miles

Aiko will walk 6 miles in 3 hours.

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2. Isabel is jogging 4 miles per hour. How long will it take her to jog 6 miles?

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3. Chen is biking 6 miles per hour. How far will he travel in 2 hours?

4. Lamar is sketching people’s faces at the spring carnival. He can create 6 sketches per hour.

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How many sketches can he create in 4 hours?

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Name_________________________________________________________ Date__________________________ 5. Luis is shoveling snow from driveways in his neighborhood to save money for college. He can shovel 2 driveways per hour. How long will it take Luis to shovel 8 driveways?

6. Darell is mowing lawns to save money for summer vacation. He can mow 1.5 lawns per hour.

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How many lawns can he mow in 6 hours?

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Write an expression to represent each problem situation. 7. Eva and Sofia are participating in a relay for charity. Eva jogs 4 miles per hour. Sofia walks 2 miles per hour. Write an expression that represents the distance that Eva and Sofia travel during the relay. Let x equal the number of hours Eva jogs. The expression 4x represents the distance Eva jogs in miles. Let y equal the number of hours Sofia walks. The expression 2y represents the distance Sofia walks in miles. The expression 4x 1 2y represents the distance that Eva and Sofia travel during the relay.

8. Nina and Olivia are taking turns painting portraits at the spring carnival. Nina paints 3 portraits per hour. Olivia paints 2 portraits per hour. Write an expression that represents the number of

© 2011 Carnegie Learning

portraits that Nina and Olivia paint during the carnival.

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Name_________________________________________________________ Date__________________________ 9. Teresa and Juanita volunteer to take turns making signs for the football game. Teresa makes 8 signs per hour. Juanita makes 6 signs per hour. Write an expression that represents the number of signs that Teresa and Juanita make for the football game.

10. Geraldo and Raul are participating in a relay for charity. Geraldo rides his bike 6 miles per hour. Raul rides his bike 5 miles per hour. Write an expression that represents the distance that Geraldo

© 2011 Carnegie Learning

and Raul travel during the relay.

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11. Nelson and Ronna volunteer to take turns cleaning up the bike path at the park. Nelson cleans 1 mile per hour. Ronna cleans 2 miles per hour. Write an expression that represents the distance that Nelson and Ronna clean.

12. Denisa and Tonya take turns making bead necklaces to sell at a school fundraiser. Denisa makes 2 necklaces per hour. Tonya makes 3 necklaces per hour. Write an expression that represents the

© 2011 Carnegie Learning

number of necklaces that Denisa and Tonya make for the school fundraiser.

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Name_________________________________________________________ Date__________________________ Write an equation to represent each problem situation. Solve the equation to answer the question. Check your answer. 13. The expression 3x 1 2y represents the distance that Shanise and Kiana travel during a 12 mile relay for charity. Let x represent the number of hours Shanise walks and let y represent the number of hours that Kiana walks. If Shanise walks for 2.5 hours, how many hours must Kiana walk? Check:

3x 1 2y 5 12



3x 1 2y 5 12

3(2.5) 1 2y 5 12

3(2.5) 1 2(2.25) 0 12

7.5 1 2y 5 12



7.5 1 4.5 0 12





12 5 12



2y 5 4.5 y 5 2.25

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Kiana must walk 2.25 hours.

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14. The expression 2x 1 4y represents the number of portraits that Nina and Olivia paint while taking turns at the spring carnival. They expect to paint 30 portraits at the carnival. Let x equal the number of hours Nina paints. Let y equal the number of hours Olivia paints. If Olivia paints for 4.5 hours, how long must Nina paint to complete the 30 portraits?

15. The expression 5x 1 6y represents the number of signs that Joelle and Mattie make for the basketball game. They plan to take turns to make 25 signs. Let x equal the number of hours Joelle makes signs. Let y equal the number of hours Mattie makes signs. If Joelle makes signs for

© 2011 Carnegie Learning

2 hours, how long must Mattie make signs?

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Name_________________________________________________________ Date__________________________ 16. The expression 6x 1 5.5y represents the distance that Carlos and Leon travel during a 20 mile relay for charity. Let x equal the number of hours Carlos rides his bike. Let y equal the number of hours Leon rides his bike. If Leon rides his bike for 2 hours, how long must Carlos ride his bike to

© 2011 Carnegie Learning

complete the relay?

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17. The expression 1.5x 1 2y represents the distance that Perry and Ty cover while volunteering to clean up the bike path at the park. The bike path is 8 miles long. Let x equal the number of hours Perry cleans the bike path. Let y equal the number of hours Ty cleans the bike path. If Perry cleans for 3 hours, how long must Ty clean?

18. The expression 4x 1 3.5y represents the number of necklaces that Denisa and Tonya make for the school fundraiser. They plan to make 30 necklaces. Let x equal the number of hours Denisa makes necklaces. Let y equal the number of hours Tonya makes necklaces. If Tonya makes necklaces for

© 2011 Carnegie Learning

4 hours, how long must Denisa make necklaces?

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