NAME DATE PERIOD Lesson 1 Homework Practiceserray.weebly.com/uploads/4/2/9/3/42933991/chapter... · Course 2 • Chapter 6 Equations and Inequalities 103 NAME _ DATE _ PERIOD

Course 2 • Chapter 6 Equations and Inequalities 87

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.Lesson 1 Homework PracticeSolve One-Step Addition and Subtraction Equations

Solve each equation. Check your solution.

1. a + 4 = 11 2. 6 = g + 8 3. x - 3 = -2

4. k + 8 = 3 5. j + 0 = 9 6. 12 + y = 15

7. h - 4 = 0 8. m - 7 = 1 9. w + 5 = 4

10. b - 28 = 33 11. 45 + f = 48 12. n + 7.1 = 8.6

13. -14 + t = 26 14. d - 3.03 = 2 15. 10 = z + 15

16. c - 5.3 = -6.4 17. 5 −− 12

+ p = 7 −− 12

18. - 1 − 3 = -

5 − 6 + u

For Exercises 19 and 20, write an equation. Use a bar diagram if needed. Then solve the equation.

19. CAFFEINE A cup of brewed tea has 54 milligrams less caffeine than a cup of brewed coffee. If a cup of tea has 66 milligrams of caffeine, how much caffeine is in a cup of coffee?

20. GEOMETRY The sum of the measures of the angles of a trapezoid is 360°. Find the missing measure.

80°

100° 110°

d °

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.Lesson 2 Homework PracticeMultiplication and Division Equations


1. k −−− -11

= -3 2. 16b = 32

3. 72 = 12x 4. 42 = 14y

5. x −−− -16

= 1 6. -12k = -60

7. a −− 13

= 0 8. -99 = 99y

9. h −− 8 = 2 10. 15 =

y −

5

11. h −− 3 = -7 12. -1 = x −−

-6

13. 9 = m −− 2 14. 5b = -55

15. 2z = 14 16. -3n = -45

17. RAFFLE TICKETS Lavonne sold 4 times as many raffle tickets as Kenneth. Lavonne sold 56 raffle tickets. Write and solve an equation to find how many tickets Kenneth sold.


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.Lesson 3 Homework PracticeSolve Equations with Rational Coefficients


1. -16 = 0.2b 2. 12.3 = 0.41x 3. 0.6h = 13.02

4. 1 = x −− 25

5. 0.9 = 0.4m 6. 2 − 3 t = 9

7. 3 − 7 g = 9 8. -28 = 4 −

5 d 9. 3 −

8 n =- 1 −

4

10. 2 − 5 = 4 −

5 c 11. 2 −

3 z = 4 1 −

4 12. 5 −

6 b = 1 7 −

8

13. 11.3y = 4.52 14. 0.5y = 19.5 15. 27.3 = 3 − 4 y

16. DRAWING An architect needs to make a scale drawing of a home. The width w of the

home in the drawing, in inches, is given by the equation 7 − 8 w = 6. What is the width of

the home in the scale drawing?

17. VOLUNTEERS At a local shelter, 36 people volunteered to help prepare meals for disaster

victims. If this represented 9 −− 16

of the volunteers at the shelter, write and solve an

equation to determine how many volunteers helped at the local shelter.

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.Lesson 4 Homework PracticeSolve Two-Step Equations


1. 4h + 6 = 30 2. 2 − 7 y + 5 = -9 3. -3t + 6 = 0

4. -8 + 8g = 56 5. 5k - 7 = -7 6. 19 + 13x = 32

7. - 1 − 5 b - 2 −

5 = -2 8. -1n + 1 = 11 9. 3 −

4 f + 5 = -5

10. 5d - 3.3 = 7.2 11. 3 = 0.2m - 7 12. 1.3z + 1.5 = 5.4

13. KITTENS Kittens weigh about 100 grams when born and gain 7 to 15 grams per day. If a kitten weighed 100 grams at birth and gained 8 grams per day, in how many days will the kitten triple its weight?

14. TEMPERATURE Room temperature ranges from 20°C to 25°C. Find the range of room temperature in °F. Use the formula F - 32 = 1.8C to convert from the Celsius scale to the Fahrenheit scale.


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.Lesson 5 Homework PracticeMore Two-Step Equations


1. 3(x + 5) = 18 2. 4(x + 8) = 44 3. -5(x - 10) = -35

4. -9(x - 4) = 81 5. 7(x + 4.9) = 56 6. -12(x + 6.2) = 60

7. 2 − 3 (x + 13) = 22 8. - 7 −

9 (x + 3) = 14 9. - 4 −

7 (x - 1 −

4 ) = 3 −

7

10. 5 − 8 (x - 1 −

3 ) = 5 −−

12 11. 8.3(x + 3.1) = 83 12. -7.2(x - 15.6) = -9

Write an equation to represent each situation. Then solve the equation.

13. SCHOOL Half of the students in Max’s class volunteer at the local community center. Fifteen students do not volunteer. If there are 12 boys in Max’s class, how many girls are in his class?

14. GEOMETRY The perimeter of the square shown is 4(x + 3.3) meters. What is the value of x if the perimeter is 28 meters?

15. SUPPLIES Tony spent $60.54 and bought 3 packs of notebooks and a calculator. How much does a pack of notebooks cost if a calculator costs $45.87?

(x + 3.3) m


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.Lesson 6 Homework PracticeSolve Inequalities by Addition or Subtraction

Solve each inequality.

1. p + 9 < 7 2. t + 6 > -4

3. -12 ≥ 7 + b 4. 16 > -15 + k

5. 25 < n - 11 6. -8 > h - 4

7. b - 3 − 4 < 1 −

2 8. f - 5.2 ≥ 1.6

Solve each inequality. Graph the solution on a number line.

9. n + 5 < 7 10. t + 2 > 10

432 5-5 -4 -3 -2 -1 0 1 432 5 876 9-1 0 1

11. p - 5 > -4 12. 3 ≤ 1 − 3 + n

432 5-5 -4 -3 -2 -1 0 1

430-1 21

13. 4 ≥ s - 3 − 4 14. 6.9 < w - 2.3

5410 32 10965 87

Write an inequality and solve each problem.

15. Four more than a number is no more than thirteen.

16. The difference of a number and -6 is less than 9.

17. Eleven less than a number is more than seventeen.

18. The sum of -8 and a number is at least 9.

19. ENVELOPES Sani has at least 68 envelopes to address. He has addressed 17 of them. Write and solve an inequality that describes how many more envelopes, at most, Sani has left to address.


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.Lesson 7 Homework PracticeSolve Inequalities by Multiplication or Division

Solve each inequality. Graph the solution set on a number line.

1. -8 ≤ 8w 2. -6a > 66

21-2-3 0-1

-7-8-11-12 -9-10

3. -25t ≤ -500 4. 18 > -3g

-10 0 10 20 30

-2-3-4 -1 0 1-7-8 -5-6

5. y −

4 ≤ 1.6 6. r −−

-2 < -6

6543 7

1211109 13

7. -8 > k −−− -0.2

8. m −− -8

≤ -2.4

10-1-2 2

20181614 22

Solve each inequality. Check your solution.

9. 13a + 26 ≥ -13 10. -24 ≤ 3b - 9

11. -3m - 6 ≥ -27 12. -11 ≥ c − 2 - 3

13. 1 > y −−

0.2 + 20 14. -1 −−

3 x + 3 > -1

15. TEXT MESSAGES Nadine can send or receive a text message for $0.15 or get an unlimited number for $5.00. Write and solve an inequality to find how many messages she can send and receive so the unlimited plan is cheaper than paying for each message.


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.Lesson 8 Homework PracticeSolve Two-Step Inequalities

Solve each inequality. Graph the solution set on a number line.

1. 4x - 3 < 9 2. -11 ≥ -1 - 2x

-1 0 4 5 6 7321

1 2 3 8 97654

3. -2 + 2x > -16 4. -3x + 2 ≤ 17

-10-11 -9 -8 -3-4-5-6-7

-8-9 -7 -6 -1-2-3-4-5

5. 7 < x − 2 + 4 6. x −

5 - 1 ≥ - 2

2 3 8 9 107654

-8-9 -7 -6 -1-2-3-4-5

7. -4 ≤ 4x + 8 8. -3x - 3 > 12

-7 -6 -1 0 1-2-3-4-5

-8-9 -7 -6 -1-2-3-4-5

9. RENTAL BICYCLES A rental company charges $15 plus $4 per hour to rent a bicycle. If Margie does not want to spend more than $27 for her rental, write and solve an inequality to find how many hours she can rent the bicycle and not spend more than $27. Interpret the solution.

10. MOWING GRASS Rupesh is mowing grass to save money for a vacation. He charges $12 per yard. Rupesh already has $40 and wants to have at least $148 to take with him. Write and solve an inequality to determine how many yards Rupesh needs to mow to have at least $148. Interpret the solution.


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NAME DATE PERIOD Lesson 1 Homework Practiceserray.weebly.com/uploads/4/2/9/3/42933991/chapter... · Course 2 • Chapter 6 Equations and Inequalities 103 NAME _____ DATE _____ PERIOD

NAME DATE PERIOD Lesson 1 Homework Practiceserray.weebly.com/uploads/4/2/9/3/42933991/chapter... · Course 2 • Chapter 6 Equations and Inequalities 103 NAME _ DATE _ PERIOD