NAME DATE PERIOD Lesson 1 Homework Practice

[Pages:15]NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 1 Homework Practice

Equations

Identify the solution of each equation from the list given.

1. h + 9 = 21; 10, 11, 12

2. 34 + p = 52; 18, 19, 20 3. 45 - k = 27; 17, 18, 19

4. y - 13 = 24; 37, 38, 39 5. 28 = r - 12; 40, 41, 42 6. 56 = 7q; 7, 8, 9

7. 9w = 45; 3, 4, 5

8. 30 ? w = 5; 4, 5, 6

9. t ? 6 = 9; 52, 53, 54

Solve each equation mentally.

10. a + 6 = 11

11. 7 + n = 18

12. 17 = 9 + e

13. 24 = 34 - j

14. k - 12 = 4

15. 25 - c = 15

16. 9b = 36

17. 11w = 66

18. 80 = 10d

19. 45 ? m = 5

20. g ? 4 = 12

21. 26 ? k = 2

22. ANIMALS A whiptail lizard has a tail that is twice as long as its body. The equation 2b = 6 describes the length of a certain whiptail lizard's tail in inches. If b is the length of the whiptail lizard's body, use mental math or the guess, check, and revise strategy to find the length of this whiptail lizard's body. What is the total length of the lizard?

23. SPORTS CAMP There are 475 campers returning to sports camp this year. Last year, 525 campers attended sports camp. The equation 475 = 525 - c shows the decrease in the number of campers returning to camp from one year to the next. Use mental math or the guess, check, and revise strategy to find the number of campers who did not return to camp this year.

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

Course 1 ? Chapter 7 Equations

103

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 1 Skills Practice

Equations

Identify the solution of each equation from the list given.

1. s + 12 = 17; 5, 6, 7

2. 54 + f = 70; 16, 17, 18

3. 69 = 50 + s; 17, 18, 19

4. 47 = 77 - b; 20, 30, 40

5. 44 = t - 10; 52, 53, 54

6. 25 - k = 20; 5, 6, 7

7. 4r = 40; 8, 9, 10

8. 33 = 11d; 3, 4, 5

9. 6g = 36; 5, 6, 7

10. 28 ? w = 7; 3, 4, 5

11. b ? 6 = 4; 22, 23, 24

12. 56 ? c = 8; 6, 7, 8

Solve each equation mentally.

13. 4 + k = 11

14. 7 + f = 15

15. z + 16 = 25

16. j + 15 = 30

17. 20 = 30 - n

18. 34 = r - 10

19. 23 - m = 10

20. p - 4 =13

21. 8w = 80

22. 7q = 21

23. 48 = 6g

24. 54 = 9m

25. 18 ? t = 6

26. y ? 3 = 5

27. h ? 12 = 1

28. FLOWERS Mickaela picked flowers for her shop. She picked 12 dozen flowers in the morning. By the end of the day, she had picked 18 dozen flowers. Use mental math or the guess, check, and revise strategy to solve the equation 12 + d = 18, and find d, the number of dozen of flowers picked during the rest of the day.

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

104

Course 1 ? Chapter 7 Equations

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 1 Problem-Solving Practice

Equations

INSECTS For Exercises 1?3, use the table that gives the average lengths of several unusual insects in centimeters. Use mental math or the guess, check, and revise strategy.

Insect Walking stick Goliath beetle Giant weta Harlequin beetle

Length (cm) 15 15 10 7

Insect Giant water bug Katydid Silkworm moth Flower mantis

Length (cm) 6 5 4 3

1. The equation 15 - x = 12 gives the difference in length between a walking stick and one other insect. If x is the other insect, which insect is it?

2. The equation 7 + y = 13 gives the length of a harlequin beetle and one other insect. If y is the other insect, which insect makes the equation a true sentence?

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

3. Bradley found a silkworm moth that was 2 centimeters longer than average. The equation m - 4 = 2 represents this situation. Find the length of the silkworm moth that Bradley found.

4. BUTTERFLIES A Monarch butterfly flies about 80 miles per day. So far it has flown 60 miles. In the equation 80 - m = 60, m represents the number of miles it has yet to fly that day. Find the solution to the equation.

5. CICADAS The nymphs of some cicada can live among tree roots for 17 years before they develop into adults. One nymph developed into an adult after only 13 years. The equation 17 - x = 13 describes the number of years less than 17 that it lived as a nymph. Find the value of x in the equation to tell how many years less than 17 years it lived as a nymph.

6. BEETLES A harlequin beetle lays eggs in trees. She can lay up to 20 eggs over 2 or 3 days. After the first day, the beetle has laid 9 eggs. Solve the equation 9 + e = 20 to find e, the number of eggs she will lay during the second and third days.

104

Course 1 ? Chapter 7 Equations

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 2 Homework Practice

Solve and Write Addition Equations

Solve each equation. Check your solution.

1. 9 + b = 14

2. 7 + g = 14

3. t + 4 = 12

4. r + 9 = 16

5. 18 = r + 8

6. 16 = 11 + f

7. t + 1.2 = 3.4

8. 1.9 + y = 4.8

10. -14 + b = -34

11. w + -27 = -154-

13. ALGEBRA What is the value of n if 15 + n = 27?

9. 7.8 = 3.5 + a 12. -25 = -120- + k

RETAIL STORES The table shows the monthly earnings of some of the retail stores in a city. Use the table to answer Exercises 14 and 15.

14. Sunny Spot's earnings were $8,329 more than that of Silver Sky. Write and solve an addition equation to find Silver Sky's earnings.

MONTHLY RETAIL EARNINGS

Store

Earnings

Sunny Spot

$52,800

Griffin's Web

$43,757

Kaylee's Magic

$121,113

Gift's Galore

$57,532

Silver Sky

Huntley's Creek

15. Write and solve an addition equation to find Huntley's Creek's earnings if the total monthly earnings for all the stores is $354,386.

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

Course 1 ? Chapter 7 Equations

105

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 2 Skills Practice

Solve and Write Addition Equations

Solve each equation. Check your solution.

1. x + 4 = 7

2. t + 6 = 10

3. y + 3 = 7

4. z + 4 = 6

5. p + 2 = 8

6. b + 6 = 7

7. 6 + a = 8

8. 5 + r = 10

9. 2 + h = 10

10. 6 + y = 9

11. 4 = 2 + v

12. 8 = 7 + w

13. 9 = 3 + r

14. 8 = 5 + q

15. 10 = t + 1

16. 10 = q + 4

17. 5 = a + 0

18. 6 = b + 3

19. PROJECT Zaira spent 55 hours in 2 weeks working on a science project. She worked 32 hours the first week. Write and solve an addition equation to find the amount of time she spent working the second week.

20. BANK ACCOUNTS Keshav has $250 in his account. This is $75 more than his brother Nalin has in his account. Write and solve an addition equation to find the amount of money in Nalin's account.

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

106

Course 1 ? Chapter 7 Equations

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 2 Problem-Solving Practice

Solve and Write Addition Equations

For Exercises 1?3, use the table of waterslide lengths.

Lengths of Waterslides (ft)

The Cobra

63

Sea Snake

52

Slime Slip

Water Whip

75

Wave Maker

104

1. The Water Whip is 7 feet longer than the Slime Slip. Write and solve an addition equation to find the length of the Slime Slip.

2. If a certain slide was 12 feet longer, it would be the same length as the Water Whip. Write and solve an addition equation to find the name of this waterslide.

3. A new slide that is still under construction will be 156 feet long. This is the same length as two of the existing slides put together. One of the slides is the Sea Snake. Write and solve an addition equation to find the name of the other water slide.

4. STUNT FLYER A stunt airplane is flying at 150 feet. It ascends to 325 feet. Write and solve an equation to find the change in altitude of the airplane.

5. SAVINGS Cornelius is saving money to buy a jacket that costs $47. He has already saved $25. Write and solve an equation to find how much more money Cornelius needs to save.

6. RECYCLING Bonnie has 27 more cans than Jackie. If she has 56 cans, write and solve an equation to find how many cans Jackie has.

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

106

Course 1 ? Chapter 7 Equations

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 3 Homework Practice

Solve and Write Subtraction Equations

Solve each equation. Check your solution.

1. h - 5 = 4

2. x - 2 = 5

3. g - 6 = 2

4. 6 = c - 5

5. t - 7 = 19

6. 5 = j - 8

7. y - 1.2 = 4.8

8. a - 3.2 = 5.5

9. 6.6 = w - 1.2

10. d - -112- = -152-

11. m - -138- = -1118-

12. b - -135- = 1

13. PARASAILING A parasailor is attached by a cable to a boat and towed so that the parachute she is wearing catches air and raises her into the air. When the boat slows down to turn back toward the beach, the parasailor's chute catches less air and dips 25 meters. She must descend another 45 meters to return to the boat. Write and solve a subtraction equation to find her original height above the boat before the turn.

14. ALGEBRA What is the value of k if 16 = k - 9?

15. PARKS The Petrified Forest National Park in Arizona recently expanded their boundaries by 93,533 acres. The original acreage was 125,000. Write and solve a subtraction equation to find the new acreage of the park.

16. AREA The total land area of the United States is about 3,483,511 square miles more than the total land area of Tennessee, which is about 53,927 square miles. Write and solve an equation to find the total land area of the United States.

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

Course 1 ? Chapter 7 Equations

107

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 3 Skills Practice

Solve and Write Subtraction Equations

Solve each equation. Check your solution.

1. a - 1 = 7

2. b - 2 = 1

3. 3 = c - 1

4. x - 3 = 1

5. 3 = y - 4

6. 2 = k - 4

7. m - 5 = 6

8. n - 3 = 6

9. 1 = s - 8

10. t - 9 = 1

11. v - 9 = 5

12. 6 = v - 7

13. 3 = g - 6

14. 3 = h - 8

15. 5 = z - 7

16. z - 3 = 7

17. 5 = f - 1

18. 1 = d - 2

19. ROCKETS During a test flight, Jeri's rocket reached a height of 18 yards. This was 7 yards less than the height of Devon's rocket. Write and solve a subtraction equation to find the height of Devon's rocket.

20. TADPOLES For two days in a row, Winston rescued tadpoles from a puddle. He rescued 54 on Friday. This is 17 less than the number he rescued on Saturday. Write and solve a subtraction equation to find how many tadpoles he rescued on Saturday.

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

108

Course 1 ? Chapter 7 Equations

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download