Algebra 1Name____________________________

Skill #1: Linear or Exponential

Directions: You will become an expert in one of the 4 essential skills. You will then teach that skill to someone else in the class.

Your Skill:

Circle the linear functions.

Box the exponential functions.

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

Your Student: _______________________

Teach-Back: Do this problem with your student.

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

Algebra 1Name____________________________

Skill #1: Linear or Exponential

Directions: You will become an expert in one of the 4 essential skills. You will then teach that skill to someone else in the class.

Your Skill:

Circle the linear functions.

Box the exponential functions.

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

Your Student: _______________________

Teach-Back: Do this problem with your student.

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

Quiz: Your student should do this problem. You will check their work. Circle the linear functions.

Box the exponential functions.

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Quiz: Your student should do this problem. You will check their work. Circle the linear functions.

Box the exponential functions.

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Algebra 1Name____________________________

Skill #1: Linear or Exponential

Directions: You will become an expert in one of the 4 essential skills. You will then teach that skill to someone else in the class.

Your Skill:

Circle the linear functions.

Box the exponential functions.

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

Your Student: _______________________

Teach-Back: Do this problem with your student.

Circle the linear functions.

Box the exponential functions.

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

Algebra 1Name____________________________

Skill #1: Linear or Exponential

Directions: You will become an expert in one of the 4 essential skills. You will then teach that skill to someone else in the class.

Your Skill:

Circle the linear functions.

Box the exponential functions.

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

Your Student: _______________________

Teach-Back: Do this problem with your student.

Circle the linear functions.

Box the exponential functions.

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

Quiz: Your student should do this problem. You will check their work. Circle the linear functions.

Box the exponential functions.

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Quiz: Your student should do this problem. You will check their work. Circle the linear functions.

Box the exponential functions.

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Algebra 1Name____________________________

Skill #2: Graph Exponential Functions

Directions: You will become an expert in one of the 4 essential skills.

Your Skill: Complete the table and graph the function.

x

g(x)

–2

–1

0

1

2

Your Student: _______________________

Teach-Back: Do this problem with your student.

x

g(x)

–2

–1

0

1

2

Algebra 1Name____________________________

Skill #2: Graph Exponential Functions

Directions: You will become an expert in one of the 4 essential skills.

Your Skill: Complete the table and graph the function.

x

g(x)

–2

–1

0

1

2

Your Student: _______________________

Teach-Back: Do this problem with your student.

x

g(x)

–2

–1

0

1

2

Quiz: Your student should do this problem. You will check their work.

x

g(x)

–2

–1

0

1

2

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Quiz: Your student should do this problem. You will check their work.

x

g(x)

–2

–1

0

1

2

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Algebra 1Name____________________________

Skill #2: Graph Exponential Functions

Directions: You will become an expert in one of the 4 essential skills.

Your Skill: Complete the table and graph the function.

x

g(x)

–2

–1

0

1

2

Your Student: _______________________

Teach-Back: Do this problem with your student.

x

g(x)

–2

–1

0

1

2

Algebra 1Name____________________________

Skill #2: Graph Exponential Functions

Directions: You will become an expert in one of the 4 essential skills.

Your Skill: Complete the table and graph the function.

x

g(x)

–2

–1

0

1

2

Your Student: _______________________

Teach-Back: Do this problem with your student.

x

g(x)

–2

–1

0

1

2

Quiz: Your student should do this problem. You will check their work.

x

g(x)

–2

–1

0

1

2

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Quiz: Your student should do this problem. You will check their work.

x

g(x)

–2

–1

0

1

2

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Algebra 1Name____________________________

Skill #3: Writing Equations

Directions: You will become an expert in one of the 4 essential skills. You will then teach that skill to someone else in the class.

Your Skill: Find the equation that models how the outputs in the table are changing.

x

y

–2

3

–1

9

0

27

1

81

Equation:

Your Student: _______________________

Teach-Back: Do this problem with your student.

Equation:

Algebra 1Name____________________________

Skill #3: Writing Equations

Directions: You will become an expert in one of the 4 essential skills. You will then teach that skill to someone else in the class.

Your Skill: Find the equation that models how the outputs in the table are changing.

x

y

–2

3

–1

9

0

27

1

81

Equation:

Your Student: _______________________

Teach-Back: Do this problem with your student.

Equation:

Quiz: Your student should do this problem. You will check their work.

Bryce has 14 rocks. Everyday, he gives away a third of his remaining rocks.

Equation:

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Quiz: Your student should do this problem. You will check their work.

Bryce has 14 rocks. Everyday, he gives away a third of his remaining rocks.

Equation:

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Algebra 1Name____________________________

Skill #3: Writing Equations

Directions: You will become an expert in one of the 4 essential skills. You will then teach that skill to someone else in the class.

Your Skill: Find the equation that models how the outputs in the table are changing.

x

y

–2

4

–1

8

0

16

1

32

Equation:

Your Student: _______________________

Teach-Back: Do this problem with your student.

Equation:

Algebra 1Name____________________________

Skill #3: Writing Equations

Directions: You will become an expert in one of the 4 essential skills. You will then teach that skill to someone else in the class.

Your Skill: Find the equation that models how the outputs in the table are changing.

x

y

–2

4

–1

8

0

16

1

32

Equation:

Your Student: _______________________

Teach-Back: Do this problem with your student.

Equation:

Quiz: Your student should do this problem. You will check their work.

Paola has 18 liters of soda. Everyday, she gives away a fourth of her remaining soda.

Equation:

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Quiz: Your student should do this problem. You will check their work.

Paola has 18 liters of soda. Everyday, she gives away a fourth of her remaining soda.

Equation:

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Algebra 1Name____________________________

Skill #4: Exponent Properties

Directions: You will become an expert in one of the 4 essential skills. You will then teach that skill to someone else in the class.

Your Skill: Circle the expressions that are equivalent to Expression A.

Expression A

Your Student: _______________________

Teach-Back: Do this problem with your student.

Circle the expressions that are equivalent to Expression A.

Expression A

Algebra 1Name____________________________

Skill #4: Exponent Properties

Directions: You will become an expert in one of the 4 essential skills. You will then teach that skill to someone else in the class.

Your Skill: Circle the expressions that are equivalent to Expression A.

Expression A

Your Student: _______________________

Teach-Back: Do this problem with your student.

Circle the expressions that are equivalent to Expression A.

Expression A

Quiz: Your student should do this problem. You will check their work.

Expression A

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Quiz: Your student should do this problem. You will check their work.

Expression A

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Algebra 1Name____________________________

Skill #4: Exponent Properties

Directions: You will become an expert in one of the 4 essential skills. You will then teach that skill to someone else in the class.

Your Skill: Circle the expressions that are equivalent to Expression A.

Expression A

Your Student: _______________________

Teach-Back: Do this problem with your student.

Circle the expressions that are equivalent to Expression A.

Expression A

Algebra 1Name____________________________

Skill #4: Exponent Properties

Directions: You will become an expert in one of the 4 essential skills. You will then teach that skill to someone else in the class.

Your Skill: Circle the expressions that are equivalent to Expression A.

Expression A

Your Student: _______________________

Teach-Back: Do this problem with your student.

Circle the expressions that are equivalent to Expression A.

Expression A

Quiz: Your student should do this problem. You will check their work.

Expression A

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Quiz: Your student should do this problem. You will check their work.

Expression A

How did your student do?

a) Did your student do the practice problem correctly?

Yes OR No [circle one]

b) Did you help your student on the practice problem?

Yes OR No [circle one]

c) If your student got the problem wrong, what was their mistake?

d) What do you think is the most common error students make when doing this problem?

Name____________________________ Blk______

4-Question Quiz A

Essential Skill #1 : Linear or Exponential

Circle the linear functions. Box the exponential functions

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

Essential Skill #2 Graphing exponential functions.

x

g(x)

–2

–1

0

1

2

Name____________________________ Blk______

4-Question Quiz A

Essential Skill #1 : Linear or Exponential

Circle the linear functions. Box the exponential functions

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

Essential Skill #2 Graphing exponential functions.

x

g(x)

–2

–1

0

1

2

Essential Skill #3 Writing equations.

x

y

–1

0

7

1

28

2

112

Equation:_________________

Essential Skill #4 Exponent Properties

Circle the expressions that are equivalent to Expression A.

Expression A

My Results (circle one choice for each skill)

Essential Skill #1 Got it Need Practice

Essential Skill #2 Got it Need Practice

Essential Skill #3 Got it Need Practice

Essential Skill #4 Got it Need Practice

Essential Skill #3 Writing equations.

x

y

–1

0

7

1

28

2

112

Equation:_________________

Essential Skill #4 Exponent Properties

Circle the expressions that are equivalent to Expression A.

Expression A

My Results (circle one choice for each skill)

Essential Skill #1 Got it Need Practice

Essential Skill #2 Got it Need Practice

Essential Skill #3 Got it Need Practice

Essential Skill #4 Got it Need Practice

Name____________________________ Blk______

4-Question Quiz B

Essential Skill #1 Linear or Exponential

Circle the linear functions. Box the exponential functions

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

Essential Skill #2 Graphing exponential functions.

x

g(x)

–2

–1

0

1

2

Name____________________________ Blk______

4-Question Quiz B

Essential Skill #1 Linear or Exponential

Circle the linear functions. Box the exponential functions

Choose ONE exponential function from above:

a) Is the function growth or decay?

b) What is the multiplier?

c) What is the initial value?

Essential Skill #2 Graphing exponential functions.

x

g(x)

–2

–1

0

1

2

Essential Skill #3 Writing equations.

x

y

–1

0

6

1

18

2

54

Equation:

Essential Skill #4 Exponent Properties

Circle the expressions that are equivalent to Expression A.

Expression A

My Results (circle one choice for each skill)

Essential Skill #1 Got it Need Practice

Essential Skill #2 Got it Need Practice

Essential Skill #3 Got it Need Practice

Essential Skill #4 Got it Need Practice

Essential Skill #3 Writing equations.

x

y

–1

0

6

1

18

2

54

Equation:

Essential Skill #4 Exponent Properties

Circle the expressions that are equivalent to Expression A.

Expression A

My Results (circle one choice for each skill)

Essential Skill #1 Got it Need Practice

Essential Skill #2 Got it Need Practice

Essential Skill #3 Got it Need Practice

Essential Skill #4 Got it Need Practice

Coaching Phrase Bank

What is the intial value for this equation? [answer: the output for x=0]

What is the multiplier for this equation? [answer: how does the function grow?]

What axis do you find the solution to a system on a graph? [intersection point]

Is there a variable that is isolated so you can substitute? [answer: look for y= or x=]

Show me the substitution step. [Watch the student so the substitution. THEN, give them feedback.]

Is this system ready for elimination? How do you know [look for THE SAME TERM with DIFFERENT SIGNS]

What legal math move could you use to eliminate a variable?

Look at the last sentence. What is the goal?

What are the unknown values or quantities in this problem?

Coaching Phrase Bank

What is the start value for this equation? [answer: the term WITHOUT an x]

What is the slope for this equation? [answer: the term WITH an x]

What axis do you find the solution to a system on a graph? [intersection point]

Is there a variable that is isolated so you can substitute? [answer: look for y= or x=]

Show me the substitution step. [Watch the student so the substitution. THEN, give them feedback.]

Is this system ready for elimination? How do you know [look for THE SAME TERM with DIFFERENT SIGNS]

What legal math move could you use to eliminate a variable?

Look at the last sentence. What is the goal?

What are the unknown values or quantities in this problem?

y = 4.1x

y=4.1x

y = 32⎛

⎝⎜⎞

⎠⎟x

y=

3

2

æ

è

ç

ö

ø

÷

x

4 12⎛

⎝⎜⎞

⎠⎟x

= y

4

1

2

æ

è

ç

ö

ø

÷

x

=y

y = 2x +3

y=2x+3

y = 34x +8

y=

3

4

x+8

y = 8x

y=8

x

y = 5x + 2

y=5x+2

4 ⋅ 12⎛

⎝⎜⎞

⎠⎟x

= y

4×

1

2

æ

è

ç

ö

ø

÷

x

=y

y =1+ x

y=1+x

y = 2(3.2)x

y=2(3.2)

x

y = 14⎛

⎝⎜⎞

⎠⎟x

y=

1

4

æ

è

ç

ö

ø

÷

x

6 ⋅3x = y

6×3

x

=y

y = 4 5( )x

y=45

()

x

y = −2x

y=-2x

y = 2

y=2

y = 8+1x

y=8+1x

y = 52 + 2x

y=5

2

+2x

y = 7.2x

y=7.2x

6 ⋅3x = y

6×3

x

=y

y = 8

y=8

y = 32⎛

⎝⎜⎞

⎠⎟x

y=

3

2

æ

è

ç

ö

ø

÷

x

4 12⎛

⎝⎜⎞

⎠⎟x

= y

4

1

2

æ

è

ç

ö

ø

÷

x

=y

y = 12x − 5

y=

1

2

x-5

y = 2x +3

y=2x+3

y = 34x +8

y=

3

4

x+8

y = 8x

y=8

x

y = 5x + 2

y=5x+2

4 ⋅ 12⎛

⎝⎜⎞

⎠⎟x

= y

4×

1

2

æ

è

ç

ö

ø

÷

x

=y

y =1+ x

y=1+x

y = 2(3.2)x

y=2(3.2)

x

y = 14⎛

⎝⎜⎞

⎠⎟x

y=

1

4

æ

è

ç

ö

ø

÷

x

y = 4 5( )x

y=45

()

x

y = −2x

y=-2x

y = 32⎛

⎝⎜⎞

⎠⎟x

y=

3

2

æ

è

ç

ö

ø

÷

x

y = 2

y=2

y = 6+ 2x

y=6+2x

y = 6 ⋅2x

y=6×2

x

y = 13⎛

⎝⎜⎞

⎠⎟x

y=

1

3

æ

è

ç

ö

ø

÷

x

y = 6+ 2x

y=6+2x

y = 6 ⋅2x

y=6×2

x

y = 13⎛

⎝⎜⎞

⎠⎟x

y=

1

3

æ

è

ç

ö

ø

÷

x

g(x) = 2 ⋅3x

g(x)=2×3

x

g(x) = 4 12⎛

⎝⎜⎞

⎠⎟x

g(x)=4

1

2

æ

è

ç

ö

ø

÷

x

g(x) = 2 ⋅3x

g(x)=2×3

x

5 12⎛

⎝⎜⎞

⎠⎟x

= y

5

1

2

æ

è

ç

ö

ø

÷

x

=y

g(x) = 4 12⎛

⎝⎜⎞

⎠⎟x

g(x)=4

1

2

æ

è

ç

ö

ø

÷

x

g(x) = 3 2( )x

g(x)=32

()

x

g(x) = 3 2( )x

g(x)=32

()

x

g(x) = 4 ⋅3x

g(x)=4×3

x

g(x) = 2 13⎛

⎝⎜⎞

⎠⎟x

g(x)=2

1

3

æ

è

ç

ö

ø

÷

x

g(x) = 4 ⋅3x

g(x)=4×3

x

g(x) = 2 13⎛

⎝⎜⎞

⎠⎟x

g(x)=2

1

3

æ

è

ç

ö

ø

÷

x

g(x) = 2 ⋅ 4x

g(x)=2×4

x

g(x) = 2 ⋅ 4x

g(x)=2×4

x

y = 5

y=5

x3x5

x

3

x

5

x15

x

15

x8

x

8

(x2 )4

(x

2

)

4

x5

x3

x

5

x

3

t6

t2

t

6

t

2

t 4

t

4

t8

t

8

(t2 )2

(t

2

)

2

y = 43⎛

⎝⎜⎞

⎠⎟x

y=

4

3

æ

è

ç

ö

ø

÷

x

t5t

t

5

t

x3x5

x

3

x

5

x15

x

15

x8

x

8

(x2 )4

(x

2

)

4

x5

x3

x

5

x

3

t6

t2

t

6

t

2

t 4

t

4

t8

t

8

(t2 )2

(t

2

)

2

y = 2 ⋅5x

y=2×5

x

t5t

t

5

t

r2( )5

r

2

()

5

r4r6

r

4

r

6

r7

r

7

r15

r5

r

15

r

5

r10

r

10

r2( )5

r

2

()

5

r4r6

r

4

r

6

r7

r

7

r15

r5

r

15

r

5

y = 5x + 2

y=5x+2

r10

r

10

x4x2

x

4

x

2

x6

x

6

x8

x

8

(x2 )4

(x

2

)

4

x10

x2

x

10

x

2

t8

t3

t

8

t

3

t11

t

11

t5

t

5

t2t3

t

2

t

3

y = 3.7x

y=3.7x

t 7

t2

t

7

t

2

x4x2

x

4

x

2

x6

x

6

x8

x

8

(x2 )4

(x

2

)

4

x10

x2

x

10

x

2

t8

t3

t

8

t

3

t11

t

11

t5

t

5

t2t3

t

2

t

3

6+3x = y

6+3x=y

t 7

t2

t

7

t

2

r4( )3

r

4

()

3

r4r3

r

4

r

3

r12

r

12

r4

r3

r

4

r

3

r7

r

7

r4( )3

r

4

()

3

r4r3

r

4

r

3

r12

r

12

r4

r3

r

4

r

3

y = 12⎛

⎝⎜⎞

⎠⎟x

y=

1

2

æ

è

ç

ö

ø

÷

x

r7

r

7

y = 7 12⎛

⎝⎜⎞

⎠⎟x

y=7

1

2

æ

è

ç

ö

ø

÷

x

y = 12x + 7

y=

1

2

x+7

y = 13⎛

⎝⎜⎞

⎠⎟x

y=

1

3

æ

è

ç

ö

ø

÷

x

g(x) = 2 14⎛

⎝⎜⎞

⎠⎟x

g(x)=2

1

4

æ

è

ç

ö

ø

÷

x

y = 7 12⎛

⎝⎜⎞

⎠⎟x

y=7

1

2

æ

è

ç

ö

ø

÷

x

y = 12x + 7

y=

1

2

x+7

y = 13⎛

⎝⎜⎞

⎠⎟x

y=

1

3

æ

è

ç

ö

ø

÷

x

g(x) = 2 14⎛

⎝⎜⎞

⎠⎟x

g(x)=2

1

4

æ

è

ç

ö

ø

÷

x

74

7

4

y = 32⎛

⎝⎜⎞

⎠⎟x

y=

3

2

æ

è

ç

ö

ø

÷

x

c3( )2

c

3

()

2

c5

c

5

c6

c

6

c9

c3

c

9

c

3

c4c

c

4

c

74

7

4

c3( )2

c

3

()

2

c5

c

5

c6

c

6

c9

c3

c

9

c

3

3 52⎛

⎝⎜⎞

⎠⎟x

= y

3

5

2

æ

è

ç

ö

ø

÷

x

=y

c4c

c

4

c

y = 4 13⎛

⎝⎜⎞

⎠⎟x

y=4

1

3

æ

è

ç

ö

ø

÷

x

y = 13x + 4

y=

1

3

x+4

y = 12⎛

⎝⎜⎞

⎠⎟x

y=

1

2

æ

è

ç

ö

ø

÷

x

g(x) = 3 12⎛

⎝⎜⎞

⎠⎟x

g(x)=3

1

2

æ

è

ç

ö

ø

÷

x

y = 4 13⎛

⎝⎜⎞

⎠⎟x

y=4

1

3

æ

è

ç

ö

ø

÷

x

y = 13x + 4

y=

1

3

x+4

y = 12⎛

⎝⎜⎞

⎠⎟x

y=

1

2

æ

è

ç

ö

ø

÷

x

g(x) = 3 12⎛

⎝⎜⎞

⎠⎟x

g(x)=3

1

2

æ

è

ç

ö

ø

÷

x

y = 6x

y=6x

63

6

3

d 2( )6

d

2

()

6

d8

d

8

d12

d

12

d14

d 2

d

14

d

2

d10d

d

10

d

63

6

3

d 2( )6

d

2

()

6

d8

d

8

d12

d

12

y = 34x +8

y=

3

4

x+8

d14

d 2

d

14

d

2

d10d

d

10

d

y = −3x + 5

y=-3x+5

y = −3x

y=-3

x

y = 4.1x

y=4.1x

6 ⋅3x = y

6×3

x

=y

y = 12x − 5

y=

1

2

x-5

y = 32⎛

⎝⎜⎞

⎠⎟x

y=

3

2

æ

è

ç

ö

ø

÷

x

5 12⎛

⎝⎜⎞

⎠⎟x

= y

5

1

2

æ

è

ç

ö

ø

÷

x

=y

y = 5

y=5

y = 43⎛

⎝⎜⎞

⎠⎟x

y=

4

3

æ

è

ç

ö

ø

÷

x

y = −3x + 5

y=-3x+5

y = 2 ⋅5x

y=2×5

x

y = 5x + 2

y=5x+2

y = 3.7x

y=3.7x

6+3x = y

6+3x=y

y = 12⎛

⎝⎜⎞

⎠⎟x

y=

1

2

æ

è

ç

ö

ø

÷

x

y = 32⎛

⎝⎜⎞

⎠⎟x

y=

3

2

æ

è

ç

ö

ø

÷

x

3 52⎛

⎝⎜⎞

⎠⎟x

= y

3

5

2

æ

è

ç

ö

ø

÷

x

=y

y = 6x

y=6x

y = 34x +8

y=

3

4

x+8

y = 2+ 5x

y=2+5x

y = −3x

y=-3

x

y = 2 ⋅5x

y=2×5

x

y = 34⎛

⎝⎜⎞

⎠⎟x

y=

3

4

æ

è

ç

ö

ø

÷

x

y = 2+ 5x

y=2+5x

y = 2 ⋅5x

y=2×5

x

y = 34⎛

⎝⎜⎞

⎠⎟x

y=

3

4

æ

è

ç

ö

ø

÷

x

y = 8+1x

y=8+1x

y = 52 + 2x

y=5

2

+2x

y = 7.2x

y=7.2x

6 ⋅3x = y

6×3

x

=y

y = 8

y=8