1. What are the 3 methods for solving systems of equations? Which one do you prefer and why?

**Answer**: ______________________________________________________

**Preference/reason**: _____________________________________________

2. Describe a consistent system.

**Answer**: ______________________________________________________

3. Describe an inconsistent system.

**Answer**: ______________________________________________________

4. Describe a dependent system.

**Answer**: ______________________________________________________

Go to ‘insert’ and ‘shapes’. Choose the circles for the points and the lines to connect the dots. Use the arrows to represent the shading.

For example:

Solve the following systems of equations using the graphing method.

**What type of system is it? Name the solution if there is one.**

5. *ð‘¥**+**ð‘¦**=5*

-*ð‘¥**+**ð‘¦**=3*

** **

**Calculations**:

**Answer: **_________________________________________________

6. *2**ð‘¥**−2**ð‘¦**=8*

*ð‘¥**−**ð‘¦**=4*

**Calculations**:

**Answer: **_________________________________________________

7. *3**ð‘¥**−**ð‘¦**=−2*

* 3**ð‘¥**−**ð‘¦**=4*

**Calculations**:

**Answer: **_________________________________________________

8. *ð‘¦**=6*

* **ð‘¥**=−3*

**Calculations**:

**Answer: **_________________________________________________

Solve the following systems of equations using the substitution method.

**What type of system is it? Name the solution if there is one.**

9. *ð‘¥**=6**ð‘¦**+2*

* 3**ð‘¥**−18**ð‘¦**=4*

**Calculations**:

**Answer**: _______________

10. *ð‘¥**−**ð‘¦**=3*

* **ð‘¥**+3**ð‘¦**=6*

**Calculations**:

**Answer**: _______________

11. *ð‘¦**=−2**ð‘¥*

* 4**ð‘¥**−3**ð‘¦**=12*

**Calculations**:

**Answer**: _______________

12. *2**ð‘¥**−5**ð‘¦**=15*

* **ð‘¥**−7**ð‘¦**=3*

**Calculations**:

**Answer**: _______________

Solve the following systems of equations using the addition (elimination) method.

**What type of system is it? Name the solution if there is one.**

13. *ð‘¥**+**ð‘¦**=6*

* **ð‘¥**−**ð‘¦**=4*

**Calculations**:

**Answer**: _______________

14. *−2**ð‘¥**+3**ð‘¦**=5*

* 2**ð‘¥**−**ð‘¦**=1*

**Calculations**:

**Answer**: _______________

15. *5**ð‘¥**+**ð‘¦**=2*

* 3**ð‘¥**+**ð‘¦**=1*

**Calculations**:

**Answer**: _______________

16. *5**ð‘¥**=20+**ð‘¦*

* 16=3**ð‘¦**+4**ð‘¥*

**Calculations**:

**Answer**: _______________

Solve the following systems of inequalities using the graphing method.

17. *ð‘¥**+**ð‘¦**>4*

*ð‘¦**+3**ð‘¥**<6*

**Calculations**:

**Answer: **_________________________________________________

18. *ð‘¥**≥5*

*ð‘¦**<3*

**Calculations**:

**Answer: **_________________________________________________

19. *3**ð‘¥**−2**ð‘¦**>8*

*−2**ð‘¦**+3**ð‘¥**<12*

**Calculations**:

**Answer: **_________________________________________________

20. *2**ð‘¥**+**ð‘¦**<8*

*ð‘¥**≥4*

**Calculations**:

**Answer: **_________________________________________________

** **

*Write the final answer in the terms being asked such as dollars/cents, degrees, tickets, etc.*

1. Describe the three types of solutions systems of equations have when graphed.

**Answer**: __________________________________________________________

2. The sum of two numbers is 30 and their difference is 2. Find the two numbers by writing and solving a system of equations.

**Calculations**:

**Answer**: _______________

3. Two apples and three pears cost $3.45. Three apples and five pears cost $5.55. Find the cost of each type of fruit.

**Calculations**:

**Answer**: _______________

4. Mary has a total of $5000 invested in two accounts. One account pays 5% and the other 8%. Her interest in the first year was $331. Write and solve a system of equations to find out how much she has invested in both accounts.

**Calculations**:

**Answer**: _______________

5. Terry is mailing two boxes. Together they weigh 21 lbs. If the smaller box is 5 lbs. less than the larger one, how much does each box weigh? Write and solve an equation that models this scenario.

**Calculations**:

**Answer**: _______________

6. The length of a pool is 3 feet more than twice its width. If the perimeter of the pool is 72 feet, find the dimensions of the pool by writing and solving a system of equations.

**Calculations**:

**Answer**: _______________

7. A desk and a chair cost $200 as a set. If the desk costs four times more than the chair, how much does each one cost. Write and solve using a system of equations.

**Calculations**:

**Answer**: _______________

8. Rachel has 15 coins with a value of $2.85. If the coins are either dimes or quarters, how many of each coin does she have? Write and solve using a system of equations.

**Calculations**:

**Answer**: _______________

9. A music concert was attended by 450 people. Adult tickets sold for $70 and children’s tickets for $40. If total sales were $27,750, how much of each ticket was sold?

**Calculations**:

**Answer**: _______________

10. A party planner can spend a maximum of $5000 on food. If the chicken dinner (x) costs $20 and the steak dinner (y) costs $25, make a graph of the region that shows the possibilities for the number of chicken and steak dinners that can be purchased while still staying within budget. Shade the solution set.

**Calculations**:

Subject | Mathematics |

Due By (Pacific Time) | 02/16/2014 12:00 am |

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