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

How many solutions?

y = 2x - 8

y = 2x -10

No solution

100

Solve the following system of equations by graph:

y = x + 4
y = 2x + 5

What is (-1,3)

100

The solution to the system of equations:

x + y = -6
x - y = -10

What is (-8, 2)?

100
The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)
100
Amy is looking into joining a gym. The membership at the YMCA has the initial fee of $40 plus $30 per month. While Courts Plus has the initial fee of $70 plus $ 20 per month. After how many months do the two gyms cost the same?
After 3 months, the cost will be the same.
200

How many solutions?

y = 3x - 12

2y = 6x - 24

Infinitely many solutions

200

The solution to the system of equations:

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

What is (0, -2)?

200
The solution to the system:

8x + 5y = 9
2x - 5y = -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

Is the coordinate (3,1) and solution to the following system?

y=-5x+6
y=2x-1

no

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
Billy has a jar of quarters and nickels. There are 23 coins in the jar. The value of the coins is $2.55. How many quarters does he have? How many nickels does he have?
There are 7 quarters and 16 nickels.
400
Is the coordinate (0,0) and solution to the system below?


2x = y

-6x =2y

yes

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

2x - 4y = 12
-8x + 16y = -48

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

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

What is (-2, -5)
400

A health food store mixes granola that costs them $4 per pound and raisins that cost them $2 per pound together to make 25 pounds of raisin granola. How many pounds of raisins and granola should they include if they want the mixture to cost them a total of $80?

They should include 15 pounds of granola and 10 pounds of raisins.

500

What is name of Ms. Skelly's dog?

Penny

500
The solution to the system of equations:

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

What is no solution?
500
The solution to the system:

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

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

x + y = 12
x = (1/3)y

What is (3, 9)?
500
Your math teacher tells you that tomorrow's test is worth 100 points and contains 38 problems. Each problem is worth either 5 points or 2 points. Because you are studying systems of equations, your teacher says that you can figure out how many problems of each value are on the test. How many of each value are there?
There are 30 2-point questions and 8 5-point questions.
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