Algebra 2 Name______________________________ ALT 09

Assignment 9.1: Graphing Exponential Growth

Graph each equation. 5. 𝑓(𝑥) = 4' 6. 𝑓(𝑥) = 2 • 3' Domain: Domain: Range: Range:

Algebra 2 Name______________________

Systems Unit Review Graph the system of equations and determine the solution.

1. x + 2y = 73x + y = 6!"#

2. x − 5y = −53x −15y = 9"#$

3. x + y = 42x − y = 6"#$

Use substitution to solve the system of equations. Remember to write the answer as an ordered pair (x, y).

4. 6x −3y =12−2x + y = −4"#$

5. x + 2y =114x +3y = 9!"#

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name______________________

Systems Unit Review Graph the system of equations and determine the solution.

1. x + 2y = 73x + y = 6!"#

2. x − 5y = −53x −15y = 9"#$

3. x + y = 42x − y = 6"#$

Use substitution to solve the system of equations. Remember to write the answer as an ordered pair (x, y).

4. 6x −3y =12−2x + y = −4"#$

5. x + 2y =114x +3y = 9!"#

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

7. 𝑓(𝑥) = −5' 8. 𝑓(𝑥) = 2' + 2 Domain: Domain: Range: Range: 9. 𝑓(𝑥) = 3'/0 10. 𝑓(𝑥) = 2'12 − 1 Domain: Domain: Range: Range:

Algebra 2 Name______________________

Systems Unit Review Graph the system of equations and determine the solution.

1. x + 2y = 73x + y = 6!"#

2. x − 5y = −53x −15y = 9"#$

3. x + y = 42x − y = 6"#$

Use substitution to solve the system of equations. Remember to write the answer as an ordered pair (x, y).

4. 6x −3y =12−2x + y = −4"#$

5. x + 2y =114x +3y = 9!"#

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name______________________

Systems Unit Review Graph the system of equations and determine the solution.

1. x + 2y = 73x + y = 6!"#

2. x − 5y = −53x −15y = 9"#$

3. x + y = 42x − y = 6"#$

Use substitution to solve the system of equations. Remember to write the answer as an ordered pair (x, y).

4. 6x −3y =12−2x + y = −4"#$

5. x + 2y =114x +3y = 9!"#

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name______________________

Systems Unit Review Graph the system of equations and determine the solution.

1. x + 2y = 73x + y = 6!"#

2. x − 5y = −53x −15y = 9"#$

3. x + y = 42x − y = 6"#$

Use substitution to solve the system of equations. Remember to write the answer as an ordered pair (x, y).

4. 6x −3y =12−2x + y = −4"#$

5. x + 2y =114x +3y = 9!"#

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name______________________

Systems Unit Review Graph the system of equations and determine the solution.

1. x + 2y = 73x + y = 6!"#

2. x − 5y = −53x −15y = 9"#$

3. x + y = 42x − y = 6"#$

Use substitution to solve the system of equations. Remember to write the answer as an ordered pair (x, y).

4. 6x −3y =12−2x + y = −4"#$

5. x + 2y =114x +3y = 9!"#

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Algebra 2 Name:

Chapter 3 Review – Systems of Equations and Matrices

For exercises 1-3, graph the system of equations and determine the solution.

1.

(x+ 2y = 7

3x+ y = 62.

(x� 5y = �5

3x� 15y = 93.

(y = 2|x� 3|� 4

y = x� 1

x

y

�10 10

�10

10

x

y

�10 10

�10

10

x

y

�10 10

�10

10

For exercises 4-7, use substitution to solve the system of equations.

4.

(6x� 3y = 12

�2x+ y = �45.

(x+ 2y = 11

4x+ 3y = 9

6.

(15x+ 2y = 4

3

x+ 23y = 2

7.

(0.5x� 0.3y = 1.3

�1.4x+ 1.2y = �2.2

For exercises 8-11, use elimination (also known as linear combination) to solve the system of equations.

8.

(6x+ 12y = �7

x+ 2y = 29.

(5x+ 4y = �3

3x� 7y = 17

10.

(43x+ 6y = �1

4x� 4y = 133

11.

(0.3x� 0.2y = 1.4

0.12x� 0.8y = 0.56

12. Write a system of equations that has no solutions.

13. Write a system of equations that has infinitely many solutions.

14. Write a system of equations that has exactly one solution.

15. A 100 point math test needs to be created. It needs to have 20 exercises in total, with the multiple choice

exercises worth 4 points each and the free response exercises worth 6 points each.

(a) Let m represent the number of multiple choice exercises and f represent the number of free response

exercises. Write a system of two equations to represent the situation.

(b) Solve your system of equations to part (a).

1 of 3

Compound Interest: You deposit $5000 in an account that earns 3% annual interest. Find the balance after one year if the interest is compounded with the given frequency. 11. annually 12. quarterly 13. Monthly Population: From 1990 to 2000, the population of California can be modeled by 𝑃 = 29,816,591(1.0128); where t is the number of years since 1990. 14. What was the population in 1990 (initial value)? 15. What is the growth factor and annual percent increase (growth rate)? 16. What was the population in 2000? 17. Estimate the population in 2007.

Growth Formulas Compound Interest Exponential Growth Model

𝐴 = 𝑃 =1 + >?@?;

𝑦 = 𝑎(1 + 𝑟);