Graphing
Substitution
Elimination
Inequalities
Systems of Inequalities
100

Use graphing to solve: 

y=x+3 and y=-1

Solution: (-4,-1)

100

Use substitution to solve: 

y=x+2 and y=-x+6

Solution: (2,4)

100

Use elimination to solve: 

y=-2x+1 and y=2x-3

Solution: (1,-1)

100

If you graphed this inequality, would the line be dashed or solid?

y>2x-3

It would be a dashed line

100

What would the lines of these inequalities look like(Dashed or Solid)?

y > 4x+12

y ≤ x-31

One would be dashed and one would be solid

200

Use graphing to solve:

 y=-x+2 and y=2x-1

Solution: (1,1)

200

Use substitution to solve: 

y-2x=3 and y=3x

Solution: (3,9)

200

Use elimination to solve: 

y=6x-1 and y+1=-6x

Solution: (0,-1)

200

Draw a number line and plot the inequality

-9 < x ≤ 4   


200

Write the system of inequalities that the graph represents

y>-2x and y≤1/2x-4

300

Use graphing to solve: 

y-2x=4 and y=-3x-1

Solution: (-1,2)

300

Use substitution to solve: 

-6x+6y=-2 and y=x-1

There is no solution

300

Use elimination to solve: 

y=2x-2 and 2x-y=2

There are infinitely many solutions

300

What is the inequality used for this graph?


y ≥ x-3 

300

Graph the inequalities:

y ≥ 3x+2 and y ≤ x-2


400

Use graphing to solve: 

4x-2=y and 2y-x=13

Solution:(-1,6)

400

Use substitution to solve: 

13x-6y=22 and x=y+6

Solution: (-2,-8)

400

Use elimination to solve: 

4x+y=2 and y-6=12x

Solution: (-0.25,3)

400

Jenny wants to bankrupt her husband. To do this she must spend OVER 600 dollars. If a pair of pants costs 12 dollars, and a shirt costs 10 dollars, then write an inequality to represent the problem that will bankrupt her husband.

12x + 10y > 600

400

Sam and Dillon want to do a prank on Mrs. Burke. The two pranksters need AT LEAST 200 cans of fart spray to fill the room. The normal fart spray costs 10 dollars but double stinky fart spray is 20 dollars. Sam is broke, but Dillon has $400 to spend on fart spray, but no more than that. Write a system of inequalities to represent the problem. Use x and y.

x+y ≥ 200 and 10x + 20y ≤ 400

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