Solve the Equation
How many solutions?
What is the rule?
Is this a complete graph?
Word Problems
100

x+6=-7x+54

x=6

100

How many solutions does this equation have:

2x-4=2x+7?

No solution

100

x: -2|-1|0|1 |2

y: -2|2 |6|10|14

What is the rule?

y=4x+6

100

Is this a complete graph? 

Yes

100

Mary receives 5 bales of hay per week to feed her little lamb. Mary has about 7 saved up for winter. What is the rule for her total bales of hay?

y=5x+7

200

3x+4-x=-4x+28

x=4

200

How many solutions does this equation have:

3x-6=-2x+7?

One solution

200

x: -2|-1|0|1|2

y:  3| 4|5|6|7

What is the rule?

y=x+5

200

Is this a complete graph?

No - it is missing the intervals and the axes labels.

200

If Mary receives bales of hay for 4 weeks, how many total bales will she have?

*Remember the rule: y=5x+7

27 bales

300

-(x-4)=-6x+19

x=3

300

How many solutions does this equation have:

7x+3=7x+5-2?

Infinite solutions

300

x: -2|-1|0|1 |2

y: 13| 8|3|-2|-7

What is the rule?

y=-5x+3

300

Is this a complete graph? 


No - it is missing the arrows on the end of the line.

300

If Mary has a total of 42 bales, how many weeks has she received bales of hay?

*Remember the rule: y=5x+7

7 weeks

400

-2(3x+1)= -4x+2

x=-2

400

How many solutions does this equation have:

5x+9-3x=6x-4x-12?

No solution

400

x: -2|-1|0|1|2

y:  8| 7|6|5|4

What is the rule?

y=-x+6

400

Is it a complete graph?

No - it is missing the axes labels.
400

The itsy bitsy spider is setting up camp in a new barn. He makes 1 web each night that never gets torn down. He also has 5 that were permanently set up in the highest point of the barn. What is the rule for how many cobwebs that will be there each day after he has moved in?

y=x+5

500

3x-4(x-3)=3x+2-5x

x=-10

500

How many solutions does this equation have:

8-5x=-5x+8?

Infinite solutions
500

x: -2|-1|0 |1|2

y: -7|-4|-1|2|5

What is the rule?

y=3x-1

500

Is this a complete graph? 


No - it is missing arrows and axes labels.

500
Jack and Jill go up the hill every day to fetch pails of water to put in the town's new water tower. They go up and down 7 times each day. However, there was already 3 pails of water in the tower. How many pails will be in the tower after 5 days?

38 pails

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