Graphing Systems
Solve the system of equations by graphing:
y=-1/4x + 6 and y=1/2x + 3
(4, 5)
Graph: y > 1/2x + 2
Dashed line and above
Solve the system of equations using the substitution method: x= 3 and 5x + y = 1
(3,-14)
Solve the system of equations using the elimination method:
x + y= 11 and x - y= -3
(4, 7)
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
Solve the system of equations by graphing:
y=1/2x + 1 and y=4
(6, 4)
Graph: y < 5x - 6
Dashed line and below
Solve the system of equations using the substitution method: x= y - 3 and 5x + 3y = 1
(-1, 2)
Solve the system of equations using the elimination method:
3x + 2y = 0 and -3x + y= 9
(-2, 3)
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
Solve the system of equations by graphing:
y=-3x + 4 and 2x -y=1
(1, 1)
Graph: y <= -3/2x - 1
Solid Line and Below
Solve the system of equations using the substitution method: 3x - y= 7 and y= 2x - 4
(3, 2)
Solve the system of equations using the elimination method:
6x - 2y= 36 and 3x - 2y= 21
(5, -3)
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
Solve the system of equations by graphing:
y=-2/5x +4 and y=-2/5x+1
No solution; parallel lines
DOUBLE JEOPARDY!!!
Graph the system of inequalities:
y<1/2x and y>3x + 10
Intersects at (-4, -2)
Solve the system of equations using the substitution method: x= 12 + 3y and 2x + 5y= -20
(0, -4)
Solve the system of equations using the elimination method:
3x + y= -11 and 4x - 3y= 7
(-2, -5)
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
Solve the system of equations by graphing:
y=1/2x+1 and y=3/2x-5
(6, 4)
Graph the system of inequalities:
y<-2x +3 and y > 3
Intersects at (0, 3)
Solve the system of equations using the substitution method: 2x + 3y = 17 and y = -2x+3
(-2, 7)
DOUBLE JEOPARDY!!!
Solve the system of equations using the elimination method:
3x + 4y= -25 and 2x - 3y= 6
(-3, -4)
At a dance recital, there were 100 student dancers performing. If there were 20 more girls than boys, how many boys were performing?
40