- What are the 3 methods for solving systems of equations? Which one do you prefer and why?
- Describe a consistent system.
- Describe an inconsistent system.
- Describe a dependent system.

Solve the following systems of equations using the graphing method.Â

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

- x + y = 5

-x + y = 3 - 2xÂ â€“ 2y = 8

x â€“ y = 4 - 3xÂ â€“ y = -2

3xÂ â€“ y = 4 - y = 6

x = -3

Solve the following systems of equations using the substitution method.Â

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

- x = 6y + 2

3xÂ â€“ 18y = 4 - xÂ â€“ y = 3

x + 3y = 6 - y = -2x

4xÂ â€“ 3y = 12 - 2xÂ â€“ 5y = 15

xÂ â€“ 7y = 3

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

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

- x + y = 6

xÂ â€“ y = 4 - -2x + 3y = 5

2xÂ â€“ y = 1 - 5x + y = 2

3x + y = 1 - 5x = 20 + y

16 = 3y + 4x

Solve the following systems of inequalities using the graphing method.Â

**Shade the solution set.**

- x + y > 4

y + 3x < 6 - x â‰¥ 5

y < 3 - 3xÂ â€“ 2y > 8

-2y + 3x < 12 - 2x + y < 8

x â‰¥ 4

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

- Describe the three types of solutions systems of equations have when graphed.
- The sum of two numbers is 30 and their difference is 2. Find the two numbers by writing and solving a system of equations.
- Two apples and three pears cost $3.45. Three apples and five pears cost $5.55. Find the cost of each type of fruit.
- Mary has a total of $5,000 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.
- 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.
- 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.
- 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.
- 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.
- A music concert was attended by 450 people. Adult tickets sold for $70 and childrenâ€™s tickets for $40. If total sales were $27,750, how many of each ticket was sold?
- A party planner can spend a maximum of $5,000 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.

Subject | Mathematics |

Due By (Pacific Time) | 08/20/2015 12:00 am |

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