Surprise
Solving by Graphing
Solving by Elimination
Solving by Substitution
Word Problems
100

What is the equation for standard form and slope intercept form?

Slope: y=mx+b

Standard: Ax+By=C

100
The quadrant in which the solution to the following system lies:

y = x + 4
y = 2x + 5

What is II
100
The solution to the system of equations:

r + s = -6
r - s = -10

What is (-8, 2)?
100
The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)
100

At Freddy’s, three steak burgers and two orders of fries cost $18. Two steak burgers and three orders of fries cost $15.75. What is the cost for one steak burger? What is the cost of one order of fries?

3b+2f=18

2b+3f=15.75


fries= 2.25

burger= 4.50

200
find the x and y intercepts of the equation:

4x-7y=28

x int: (7,0)

y int: (0,-4)

200
The solution to the system of equations:

y = 3x - 2
y = -x - 2

What is (0, -2)?
200
The solution to the system:

8a + 5b = 9
2a - 5b = -4

What is (0.5, 1)?
200
The solution to the system

y = x - 2
3x - y = 16

What is (7, 5)
200
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?
What is $30?
300

Convert to slope intercept form

10x-5y=-25

y=2x+5

300
The solution to the system of equations:

y = -3
x = 5

What is (5, -3)
300
The solution to the system:

2x + 3y = 6
3x + 5y = 15

What is (-15, 12)?
300
The solution to the system

y = 3x - 1
7x + 2y = 37

What is (3, 8)
300
The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.oo if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500.
What is 400 advanced tickets, 200 game-day tickets?
400

Convert to standard form

y=3/4 x +6

3x-4y=24

400
The solution to the system of equations

y = (1/3)x - 3
2x - y = 8

What is (3, -2)
400
The solution to the system

2a - 4b = 12
-8a + 16b = -48

What is infinitely many solutions?
400
The solution to the system

3s - 2t = 4
t = 2s - 1

What is (-2, -5)
400

Abby filled her goodie bags with 4 cookies and 3 candy bars and spent a total of $10.25 per bag.  Marissa filled her goodie bags with 2 cookies and 7 candy bards and spent a total of $14.75 per bag.  Each cookie costs the same amount.  Each candy bar costs the same amount.  Write a system of linear equations that can be used to find the cost of one cookie (x) and one candy bar (y).  What was the cost, in dollars of each item?

4x+3y=10.25

2x+7y=14.75


cookies = $1.25

candy bar= $1.75

500

Graph to find the solution to the following system:

4x+2y=6

-6x+2y=6

(0,3)

500

The solution to the system of equations:

3y=-5x+5

3y=-5x-3

What is no solution? (parallel lines)

500
The solution to the system:

(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4

What is (24, 8)
500
The solution to the system

t + u = 12
t = (1/3)u

What is (3, 9)?
500

Christian sold tickets to the game.  Good seats were $5 each and poor seats were $2 each.  210 people attended the and paid $660 total, Write a system of linear equations that can be used to find how many good seats (g) and poor seats (p) were sold.  How many of each type were sold?

5x+2y=660

x+y=210


80 good seats

130 poor seats

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