chapter 12 – answer keyequations and functions

Chapter12–EquationsandFunctions AnswerKey

MiddleSchoolMathConcepts-Grade6 1

12.1 Addition and Subtraction Phrases as Expressions

Answers

1.6+x 2.x+7 3.y–4 4.x+14 5.20–x

6.25–y 7.n–10 8.37+x 9.9+y 10.x+8

11.x+(6+7) 12.15+x 13.(25+x)–30 14.y–12 15.16+7+y

12.2 Multiplication and Division Phrases as Expressions

Answers

1.6y 2.x/2 3.15/y 4.7y 5.10x

6.18/x 7.20y 8.x/3 9.x/12 10.16y

11.5y 12.6x/3 13.4y/7 14.6x/10 15.(3y)(4)

12.3 Sentences as Single Variable Equations

Answers

1.x–5=15 2.x+6=18 3.20/x=4

4.x–16=4 5.12+y=20 6.6y=42

7.8x=40 8.y–10=21 9.n/2=7

10.4x=48 11.y/2=14 12.12x=60

13.14/y=7 14.5+x=53 15.x–10=17

12.4 Sums and Differences of Single Variable Expressions

Answers

1.10x 2.13y 3.11z 4.8x+2y 5.10y+2x

6.8x 7.9y 8.22x–2y 9.68x 10.18y

11.12x–10y 12.21x–12y 13.41x+2y 14.13x–11y 15.10x+15y



12.5 Single Variable Addition Equations

Answers

1.x=7 2.x=11 3.x=5 4.x=8 5.x=2

6.x=22 7.x=7 8.x=7 9.x=5 10.x=11

11.x=6 12.x=10 13.x=13 14.x=33 15.x=3

12.6 Single Variable Subtraction Equations

Answers

1.y=15 2.x=24 3.a=16 4.z=28 5.y=20

6.b=17 7.x=38 8.y=9 9.x=10 10.x=34

11.x=30 12.x=60 13.x=77 14.x=67 15.x=56

12.7 Products and Quotients of Variable Expressions

Answers

1.20x 2.15x 3.8y 4.16a 5.28x

6.3 7.8 8.3xy 9.2b 10.3x

11.60xy 12.14x 13.48xy 14.52xy 15.84x

12.8 Single Variable Multiplication Equations

Answers

1.2 2.8 3.9 4.4 5.4

6.9 7.3 8.5 9.10 10.3

11.11 12.2 13.2 14.3 15.20



12.9 Single Variable Division Equations

Answers

1.32 2.2 3.81 4.15 5.5

6.36 7.6 8.108 9.42 10.99

11.52 12.4 13.11 14.4 15.3

12.10 Input – Output Tables

Answers

1.x+3,5and8,6and9 2.2x,6and12,7and14

3.3x,6and18,7and21 4.x–2,2and0,1and-1

5.x+4,21and25,22and26 6.7x,9and63,10and70

7.2x+1,6and13,7and15 8.2x–1,10and19,11and21

9.3x–1,9and26,10and29 10.4x,10and40,11and44

12.11 Function Rules for Input-Output Tables

Answers

1.Yes 2.No 3.Yes 4.No 5.Yes

6.No 7.yes 8.Yes 9.Yes 10.Yes

11.15 12.01 13.0-3 14.03 15.01

210 17 1-1 16 15

315 319 21 29 29



12.12 Graphs of Linear Functions

Answers

1.Linear

2.Linear

3.Linear



4.Linear

5.Linear

6.Linear



7.Linear

8.Linear

9.Linear



10.Linear

12.13 Linear and Non-Linear Function Distribution

Answers

1.Nonlinear 2.Linear 3.Linear 4.Linear 5.NonLinear

6.Linear 7.Linear 8.NonLinear 9.Linear 10.NonLinear

11.



12.

13.



14.

15.



16.

17.



18.

19.



20.

12.14 Definition of Probability

Answers

1.1/10 2.2/10 3.3/10 4.0/10 5.3/10

6.4/10 7.4/10 8.5/10 9.4/10 10.4/10

11.8/10 12.8/10 13.7/10 14.6/10 15.9/10

12.15 Measurement of Probability

Answers

1..1 2..2 3..3 4.0 5..3

6..4 7..4 8..5 9..4 10..4

11..8 12..8 13..7 14..6 15..9

12.16 Complement Rule for Probability

Answers

1.Likely 2.Certain 3.Impossible 4.Unlikely

5.Likely 6.85% 7.20% 8.51%

9.67% 10.30% 11.88% 12.4%

13.90% 14.Complementary 15.NotComplementary 16.Complementary



12.17 Tree Diagrams

Answers

1.12 2.9 3.10 4.12

5.12 6.24 7.36 8.72

9.9 10.18 11.36 12.72

13.6 14.8 15.96 16.18

12.18 Combinations

Answers

1.5 2.360 3.30

4.120 5.2520 6.840

7.210 8.42 9.Yes,itdividesby1moreeachtime(3,4,5)

10.3,113,510,400 11.1,037,836,800 12.259,459,200

13.30,240 14.151,200 15.604,800

12.19 Permutations

Answers

1.20 2.120 3.42 4.120 5.210

6.24 7.60 8.1,680 9.3,024 10.720

11.132 12.504 13.20,160 14.504 15.720

12.20 Probability of Independent Events

Answers

1.¼ 2.½ 3.¼ 4.¾ 5.¾

6.1/16 7.½ 8.1/64 9.2/7 10.3/14

11.25% 12.50% 13.25% 14.75% 15.75%



16.6.25% 17.50% 18.1.56% 19.29% 20.21%

chapter 12 – answer keyequations and functions

Documents