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Solving by Graphing
Surprise
Solving by Elimination
Word Problems
Solving by Substitution
111
The solution to the system of equations:

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

What is (0, -2)?
111
find the x and y intercepts of the equation:

4x-7y=28

x int: (7,0)

y int: (0,-4)

111
The solution to the system:

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

What is (0.5, 1)?
111
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?
111

The solution to the system

y = x - 2
3x - y = 16

What is (7, 5)

210
The solution to the system of equations:

y = -3
x = 5

What is (5, -3)
210

Convert to slope intercept form

10x-5y=-25

y=2x+5

210
The solution to the system:

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

What is (-15, 12)?
210
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?
210
The solution to the system

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

What is (3, 8)
365
The quadrant in which the solution to the following system lies:

y = x + 4
y = 2x + 5

What is II
365

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

Slope: y=mx+b

Standard: Ax+By=C

365
The solution to the system of equations:

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

What is (-8, 2)?
365

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

365
The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)
420
The solution to the system of equations

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

What is (3, -2)
420

Convert to standard form

y=3/4 x +6

3x-4y=24

420
The solution to the system

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

What is infinitely many solutions?
420

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

420
The solution to the system

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

What is (-2, -5)
690

The solution to the system of equations:

3y=-5x+5

3y=-5x-3

What is no solution? (parallel lines)

690

Graph to find the solution to the following system:

4x+2y=6

-6x+2y=6

(0,3)

690

The solution to the system:

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

What is (24, 8)

690

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

690
The solution to the system

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

What is (3, 9)?