Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6)...

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Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form. (4) C: Word problems that are already in y=mx+b form. (4) D: Word problems that are not already in y=mx+b form. (3) Rules: 1. Must complete at least one problem from each letter before moving on to the next letter. 2. Complete one cut- out, get one piece of candy. 3. Try to do as many as possible. 4. Work on the type of problem you need practice with.

Transcript of Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6)...

Page 1: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

Cut-outs for Candy!

Four types of problems:A: Naked problems that are

already in y=mx+b form. (6)

B: Naked problems that need to be put in y=mx+b form. (4)

C: Word problems that are already in y=mx+b form. (4)

D: Word problems that are not already in y=mx+b form. (3)

Rules:1. Must complete at least

one problem from each letter before moving on to the next letter.

2. Complete one cut-out, get one piece of candy.

3. Try to do as many as possible.

4. Work on the type of problem you need practice with.

Page 2: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

A1. Find the solution to the system of equations using a table or a graph:

y = x – 5 y = (-1/6)x + 2

y = x – 5 y = (-1/6)x + 2

x y x y

Page 3: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

A2. Find the solution to the system of equations using a table or a graph:

y = (-3/4)x + 1 y = (-5/8)x + (1/2)

y = (-3/4)x + 1 y = (-5/8)x + (1/2)

x y x y

Page 4: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

A3. Find the solution to the system of equations using a table or a graph:

y = ½ xy = (-2/3)x – 7

y = ½ x y = (-2/3)x – 7

x y x y

Page 5: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

A4. Find the solution to the system of equations using a table or a graph:

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

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

x y x y

Page 6: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

52y

2-x=y

x

A5. Find the solution to the system of equations using a table or a graph:

x y x y

Page 7: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

5.82

3y

6=y

x

xA6. Find the solution to the system of equations using a table or a graph:

x y x y

Page 8: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

12- =3y -4x

23x=y

x y x y

B1. Find the solution to the system of equations using a table or a graph:

Page 9: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

92y3x

8- =3y -x

x y x y

B2. Find the solution to the system of equations using a table or a graph:

Page 10: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

x y x y

B3. Find the solution to the system of equations using a table or a graph:

- 3 x + 4 y = 27 2 x - 4 y = -22

Page 11: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

x y x y

B4. Find the solution to the system of equations using a table or a graph:

x - 5 y = -23 2 x + 3 y = 19

Page 12: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

C1. Carlos is going to get a new cell phone. An LG Touch costs $200, and comes with a plan that is $50 a month. An iPhone costs $400, and comes with a plan that is $30 a month. At what month will the cell phones be the same cost? Which phone is cheaper if Carlos will keep his phone for a year?

Write an equation for the LG Touch $ ____________________Write an equation for the iPhone $: ______________________

x = ________y = ________

Find the solution to your system of equations.

Page 13: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

C2. Sally goes to the Texas Rodeo and pays $5 entry fee plus $2 per ride. The next weekend she goes to the Dallas Rodeo and pays $10 entry fee plus $1 per ride. At what number of rides is the cost for the Texas Rodeo and the Dallas Rodeo the same?

Write an equation for the Texas Rodeo $ ____________________Write an equation for the Dallas Rodeo $: ______________________

x = ________y = ________

Find the solution to your system of equations.

Page 14: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

C3. Jenna has $1500 in a savings account. She adds $30 to her accounteach month. Luis has $2400 in his savings account. He withdraws $30 from his account each month. At what month will they have the same amount in their accounts? What will the balance be?

Write an equation for Jenna’s $ ____________________Write an equation for Luis’ $: ______________________

x = ________y = ________

Find the solution to your system of equations.

Page 15: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

C4. A tub containing 16 gallons of water is draining at a rate of 1 gallon per hour. A basin of 3.5 gallons of water is draining at a rate of 0.1 gallons every hour. If both containers start draining at the same time, when will they hold the same amount of water?

Write an equation for the water left in the tub: ____________________Write an equation for the water left in the basin: __________________

x = ________y = ________

Find the solution to your system of equations.

Page 16: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

D1. The price of 2 pounds of puppy chow and 2 pounds of kitten food is $14.50. The price of 4 pounds of puppy chow and 1 pound of kitten food is $17. What is the cost of 1 pound of puppy chow?

Write the two equations described in this problem:____________________ __________________

x = ________y = ________

Find the solution to your system of equations.

Page 17: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

D2. Terry went to his favorite burger joint which sells Ultra Burgers and Deluxe Burgers. Ultra Burgers cost $3 and Deluxe Burgers cost $2. Terry bought a total of 7 hamburgers for $20. How many of each burger did Terry buy?

Write the two equations described in this problem:____________________ __________________

x = ________y = ________

Find the solution to your system of equations.

Page 18: Cut-outs for Candy! Four types of problems: A: Naked problems that are already in y=mx+b form. (6) B: Naked problems that need to be put in y=mx+b form.

D3. Jennifer went to the movies with her friends. Together, they bought 3 large soft drinks and 2 bags of popcorn and it cost $35. They went again the next weekend and bought 4 soft drinks and 3 popcorns and the cost was $50. Jennifer’s mom was upset about spending so much money and demanded to know how much the popcorn and drinks each cost.

Write the two equations described in this problem:____________________ __________________

x = ________y = ________

Find the solution to your system of equations.