Graphing
Substitution
Elimination
Word Problems
Four Fours
100

What is the solution to this system?


(1,4)

100

solve

y=-7x

y=-4x

(0,0)

100

Solve

-8x-3y=0

7x+3y=0

(0,0)

100

Alberto and Mike are selling pies for a school fundraiser.  Customers can buy cherry pies and

pumpkin pies.  Alberto sold 10 cherry pies and 4 pumpkin pies for a total of $112.  Mike sold 2

cherry pies and 3 pumpkin pies for a total of $51.  Find the cost each of one cherry pie and one

pumpkin pie.

What are the 2 equations?

10x+4y=112

2x+3y=51

100

How can you use four 4s to equal the number 1?

44/44

200

What is the solution to this system?


No Solution

200

Solve

y=-2

y=2x+12

(-7,-2)

200

Solve

x+8y=22

-x-8y=24

No Solution

200

James and Jaidee each improved their yards by planting hostas and ivy.  They bought their

supplies from the same store.  James spent $68 on 1 hosta and 6 pots of ivy.  Jaidee spent $160 on

14 hostas and 12 pots of ivy.  What is the cost of one hosta and the cost of one pot of ivy?

Write the 2 equations

1x+6y=68

14x+12y=160

200

How can you use four 4s to equal the number 5?

(4x4+4)/4

300

If two lines coincide on a graph the solution to the system is?

Infinite Solutions

300

Solve

y=8x+10

y=4x+2

(-2,-6)

300

Solve

x+y=9

-x-y=-9

Infinite solutions

300

Mr. Ferggy bought 12 pieces of fruit.  boisenberries cost $.50 and jack fruits cost $1.25.  Mr. Ferggy paid $10.25.  How many of each piece of fruit did he buy?

7 boisenberries

5 jack fruit

300

How can you use four 4s to equal the number 17?

4/4+4x4

400

What form does a equation need to be in to be graphed? (Exact answer)

Slope Intercept Form

400

Solve

7x+6y=24

y=-3x+4

(0,4)

400

Solve

6x-14y=-22

-10x-7y=-24

(1,2)

400

Nicole's school is selling tickets to the annual talent show.  On the first day of ticket sales the

school sold 4 senior citizen tickets and 3 child tickets for a total of $92.  The school took in $312

on the second day by selling 12 senior citizen tickets and 12 child tickets.  What is the price each

of one senior citizen ticket and one child ticket?

Senior $14

Children $12

400

How can you use four 4s to equal the number 32?

4x4+4x4

500

What are the 3 types of graphing answers that are possible.

no solution, one solution, infinite many solutions

500

Solve

-2x-3y=-14

y=-5x+9

(1,4)

500

Solve

-5x+9y=-22

4x-5y=11

(-1,-3)

500

The sum of the digits of a two digit number is 10.

Their difference is 4.  What is the largest this number could be?

73

500

How can you use four 4s to equal the number 46?

44-square root 4+4

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