Station 1

Solve The Following Systems Of Linear Equations By Graphing:

1.

2.

3. + y = 1

Word Problem:

Each family in a neighborhood is contributing $20 worth of food to the neighborhood picnic. The Harlin family is bringing 12 packages of buns. The hamburger buns cost $2.00 per package and the hot dog buns cost $1.50 per package. How many packages of each type of bun did they buy?

Station 2

Solve The Following Systems Of Equations By Substitution:

1. y = x + 5

4x + y = 20

2. y 4x = 3

2x 3y = 21

3. x + 2y = 1

4x 4y = 20

Word Problem

Cathy wants to buy a gym membership. One gym has a $150 joining fee and costs $35 per month. Another gym has no joining fee and costs $60 per month.

a. In how many months will both gym memberships cost the same? What will that cost be?

b. If Cathy plans to cancel in 5 months, which is the better option for her?

Station 3

Solve The Following Systems of Equations By Elimination:

1. x 2y = 19

5x + 2y = 1

2. 3x + 4y = 18

2x + 4y = 8

3. 2x + y = 3

x + 3y = 12

Word Problem

Roses cost $2.50 each and daisies cost $1.75 each. Sam spent $24.75 to buy a dozen flowers for his mother. The bouquet contained both roses and daisies. How many of each type of flower where in the bouquet?

Station 4

Solve The Following Systems of Equations Using Any Method Of Your Choice:

1. x + 4y = 2

3y + x = 10

2. x + 2y = 3

4x 5y = 3

3. y = 4x

y = 2x + 3

Word Problem

A local boys club sold 176 bags of mulch and made a total of $520. They sold hardwood mulch for $3.50 per bag and pine bark mulch for $2.75 per bag. How bags of each type of mulch did they sell?

Station 5

1. Explain What Method You Would Use To Solve The Following System Of Equations And Why:

2. Solve The System Using Your Chosen Method

Word Problem

The difference between the length and width of a rectangle is 2 units. The perimeter is 40 units. Write and solve a system of equations to determine the length and width of the rectangle. (Hint: the perimeter of a rectangle is 2l + 2w).

Station 6

Explain What Method You Would Use To Solve The Following System Of Equations And Why:

Solve The System Using Your Chosen Method

Word Problem

Bowl-o-Rama charges $2.50 per game plus $2 for shoe rental, and Bowling Pinz charges $2 per game plus $4 for shoe rental. For how many games will the cost to bowl be the same at both places? What is that cost?

Station 7

1. Determine The Error Made When Solving The Following System Of Equations:

( 6, 3)

2. Solve the system above

Word Problem

Angelo runs 7 miles per week and increases his distance by 1 mile each week. Marc runs 4 miles per week and increases his distance by 2 miles each week. In how many weeks will Angelo and Marc be running the same distance? What will that distance be?

Station 8

1. Determine The Error Made When Solving The Following System of Equations:

2x + y = 14y = 14 2x

3x + 4y = 10

y = 14 2(13.2)

= 14 26.4

= 12. 4

3x + 4(14 2x) = 10

3x + 56 2x = 10

5x + 56 = 10

5x = 66

(13.2, 12. 4)

x = 66/5 = 13.2

2. Solve the system above

Word Problem

A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.40. How many nickels and how many dimes are in the jar? (Hint: Nickels are worth $0.05 and dimes are worth $0.10.)

Station 9

1. Determine The Error Made When Solving The Following System Of Equations:

+

5(36) 8y = 14

180 8y = 14

(36, 24.25)

8y = 194

y = 24.25

2. Solve the system above

Word Problem

Mrs. Gonzalez bought centerpieces to put on each table at a graduation party. She spent $31.50. There are 8 tables each requiring either a candle or vase. Candles cost $3 and vases cost $4.25. How many of each type did she buy?

Station 10

Solve The Following Systems of Inequalities. Then State A Point That Is A Solution And A Point That Is Not A Solution:

1. y < 3x + 1

y 2x 3

2. 4x + y > 2

x y + 6 < 0

3.

+ y > 1

Word Problem

Sandy makes $2 profit on every cup of lemonade that she sells and $1 on every cupcake that she sells. Sandy wants to sell at least 5 cups of lemonade and at least 5 cupcakes per day. She wants to earn at least $25 per day. Show and describe all the possible combinations of lemonade and cupcakes that Sandy needs to sell to meet her goals. List two possible combinations.

Chapter 5 Station Activity

Station 1:

1.2.

3.Word Problem

Station 2:

1.2.

3.Word Problem

Station 3:

1.2.

3.Word Problem

Station 4:

1.2.

3.Word Problem

Station 5:

1. __________________________________________________________________________________

_____________________________________________________________________________________

_____________________________________________________________________________________

_____________________________________________________________________________________

2.

Word Problem

Station 6:

1. __________________________________________________________________________________

_____________________________________________________________________________________

_____________________________________________________________________________________

_____________________________________________________________________________________

2.

Word Problem

Station 7:

1. __________________________________________________________________________________

_____________________________________________________________________________________

_____________________________________________________________________________________

_____________________________________________________________________________________

2.

Word Problem

Station 8:

1. __________________________________________________________________________________

_____________________________________________________________________________________

_____________________________________________________________________________________

_____________________________________________________________________________________

2.Word Problem

Station 9:

1. __________________________________________________________________________________

_____________________________________________________________________________________

_____________________________________________________________________________________

_____________________________________________________________________________________

2.Word Problem

Station 10:

1.2.

3.Word Problem

Key:

Station 1:

1. (3, -2)

2. (2, -1)

3. (3, -2)

Word Problem: 8 hotdog buns, 4 hamburger buns

Station 2:

1. (4, 9)

2. (-3, -9)

3. (-2, 3)

Word Problem: 6 months, $36, the second gym

Station 3:

1. (-3, 8)

2. (2, 3)

3. (-3, 3)

Word Problem: 5 roses, 7 daisies

Station 4:

1. (34, -8)

2. (3, 3)

3. (-0.5, 2)

Word Problem: 128 pine bark, 48 hardwood

Station 5:

1. (Sample Answer) Elimination by subtraction because the x variables have the same coefficient in both equations.

2. (40, -2)

Word Problem: width is 9, length is 11

Station 6:

1. (Sample Answer) Graphing since both equations are in slope-intercept form.

2. (1, -2)

Word Problem: 4 games, $12

Station 7:

1. The line with an intercepts of 3 should have a negative slope. The graphed line has a positive slope.

2. (2, 1)

Word Problem: 3 weeks, 10 miles

Station 8:

1. Distributed incorrectly

2. (6, 2)

3. 8 dimes, 12 nickels

Station 9:

1. Forgot to multiply on both sides of the equation

2. (2, 3)

Word Problem: 2 candles, 6 vases

Station 10:

1.

2.

3.

Word Problem: