Graphing Systems
Graphing Inequalities
Substitution
Elimination
Word Problems
100

Solve the system of equations by graphing: 

y=-1/4x + 6 and  y=1/2x + 3

(4, 5)

100

Graph:  y > 1/2x + 2

Dashed line and above

100

Solve the system of equations using the substitution method: x= 3 and 5x + y = 1

(3,-14)

100

Solve the system of equations using the elimination method: 

x + y= 11 and x - y= -3

(4, 7)

100

The school faculty has found out they aren’t able to get the same size tables for a school dance. The rental company has let them know that they are able to receive some tables that will fit 8 students and some tables will fit 9 students. If a total of 111 students are planning to attend the dance and the school has ordered 13 tables, then how many tables were ordered that fit 9 students?

7

200

Solve the system of equations by graphing: 

y=1/2x + 1 and y=4

(6, 4)

200

Graph:  y < 5x - 6 

Dashed line and below

200

Solve the system of equations using the substitution method: x= y - 3 and 5x + 3y = 1

(-1, 2)

200

Solve the system of equations using the elimination method: 

3x + 2y = 0 and -3x + y= 9

(-2, 3)

200

Billy, a 5th grader, has decided that he would like a summer job. He decides that he will be selling lemonade for $4 and ice tea for $3. If he sold a total of 21 drinks for $76, then how many lemonades did he sell?

13

300

Solve the system of equations by graphing:

 y=-3x + 4 and 2x -y=1

(1, 1)

300

Graph:  y <= -3/2x - 1

Solid Line and Below

300

Solve the system of equations using the substitution method: 3x - y= 7 and y= 2x - 4

(3, 2)

300

Solve the system of equations using the elimination method: 

6x - 2y= 36 and 3x - 2y= 21

(5, -3)

300

DOUBLE JEOPARDY!!!

Gaby and Danny are at Hamburger and Shakes restaurant. Hamburgers cost $4.50 and shakes cost $2.50. If Gaby and Danny bought a total of 12 items for $42, how many shakes did they buy?

6

400

Solve the system of equations by graphing: 

y=-2/5x +4 and y=-2/5x+1

No solution; parallel lines

400

DOUBLE JEOPARDY!!!

Graph the system of inequalities:

y<1/2x and y>3x + 10

Intersects at (-4, -2)

400

Solve the system of equations using the substitution method: x= 12 + 3y and 2x + 5y= -20

(0, -4)

400

Solve the system of equations using the elimination method: 

3x + y= -11 and 4x - 3y= 7

(-2, -5)

400

Before a basketball game, the local park needs to restock their concession stand. The supermarket sells energy drinks in packs of 24 and water in packs of 32. If the park purchases 25 packs of drinks and plans to sell 720 drinks at the basketball game. How many fewer packs of waters than energy drinks are they planning to sell?

5

500

Solve the system of equations by graphing: 

y=1/2x+1 and y=3/2x-5

(6, 4)

500

Graph the system of inequalities:  

y<-2x +3 and y > 3

Intersects at (0, 3)

500

Solve the system of equations using the substitution method: 2x + 3y = 17 and  y = -2x+3

(-2, 7)

500

DOUBLE JEOPARDY!!!

Solve the system of equations using the elimination method: 

3x + 4y= -25 and 2x - 3y= 6

(-3, -4)

500

At a dance recital, there were 100 student dancers performing. If there were 20 more girls than boys, how many boys were performing?

40

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