Solving
Systems graphs/tables
Sequences
Systems Substitution
Linear
100

2x=-10

x=-5

100
Solve:

Kevin has $20 and earns $4 per hour babysitting

Ean has $5 and earns $7 babysitting.  

When will they have the same money and how much?

After 5 hours they both have $40

100

Find the next three terms

7, 9, 11...

13, 15, 17

100

y=2x+4

Is (-4,12) a solution?  Explain your reasoning

No because

12=2(-4)+4

12 does not = -8+4

100

y=-2x+4

What is the slope and y intercept

slope -2 y-intercept (04,)

200

4x-7+2x=17

x=4

200

y=4x+10

y=2x+12

(1,14)

200

Find the first three terms

t(1)=4

t(n+1)=3t(n)

4, 12, 36

200

y=4x+10

y=2x+12

Is (3, 22) a solution? explain your reasoning

no because doesn't work for the second equation

200

(4, 5) (6, 10)

what is the slope

2/5

300

-(x+2)=10

x=-12

300

Write a system for the situation

Mr. Williams is hosting a lap-a-thon.  So far Drew has raised $20 and earns $2 for every lap she runs.  Ali has $10 and earns $5 for every lap he runs

y=20+2x

y=10+5x

300
find the first three terms

t(n)=2n+4

6, 8, 10

300
Solve the system

x=3

2x+y=10

(3,4)

300

What is the slope 

(-2, 5) (-1, -6)

-1/11

400

solve for y

y-2x=10

y=10+2x

400

Describe how to find the solution to a system from a graph and a table

on a graph the solution is where the lines intersect.  A table means both equations have the same x and y values

400

What is the explicit form

an=an+1+7

a1=5

an=7n-2

400

solve the system

y=2x+1

2y+3x=16

(2,5)

400

If the slope is 3 and a point on the line is (1, 7) what is b

y=3x+b

b=4

500

solve for y

2x-2y=10

y=x-5

500

y=6x-11

y=4x+12

Solve the system

(11.5, 58)

500

What are the next three terms

1, 4, 9...

16, 25, 36

500

Write a system of equations that fits the scenario

There are a total of 55 points scored in a football game.  You get 6 points for a touchdown and 3 points for a field goal.  The number of field goals is one more than twice the number of touchdowns.  How many field goals and touchdowns were there?

f=1+2t

55=6t+3f

500

if the slope of a line is 2 and a point on the line is (3, 7) what is the y-intercept (b)?

y=2x+b

b=1