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

You must use a graph to solve: y=x+2 and y=-x+2

What is (0,2)?

100
You must use elimination to solve: m+k=8 and m-k=20
What is m=14 and k=6?
100
You must use substitution to solve: y=7 and 2x+y=17
What is x=5 and y=7?
100
The sum of two number is 104. The difference of two numbers is 68. What are the two numbers?
What is 86 and 18?
100

 a+b=10 and 3a-b=6

What is a=4 and b=6?

200
You must use a graph to solve: y=x+4 and y=2x+5
What is (-1,3)?
200
You must use elimination to solve: 8a + 5b = 9 and 2a - 5b = -4
What is a=.5 and b=1?
200
You must use substitution to solve: m=k-2 and 3k-m=16
What is k=7 and m=5?
200
A shopper bought 3 shirts and 4 hats for $350. A week later, at the same prices, he bought 3 shirts and 2 hats for $220. What was the cost of one shirt?
What is $30?
200

 m=k-5 and k-2m=8?

What is k=2 and m=-3?

300
You must use a graph to solve: y=-2 and x=4
What is (4,-2)?
300
You must use elimination to solve: c + 3b = 38 and 2c + 3b = 52
What is c=14 and b=8?
300
You must use substitution to solve: y = 3x -1 and 7x + 2y = 37
What is x=3 and y=8?
300
The dimensions of a rectangle whose perimeter is 78 inches, when the length of the rectangle is twice its width. What is the length and width of the rectangle?
What is length=26 and width=13?
300

y=3x-2 and y=2x-1

What is (1,1)?

400
You must use a graph to solve: y=3 and -2x+y=1
What is (1,3)?
400
You must use elimination to solve: 3x + 2y = 46 and x + 5y = 11
What is y=-1 and x=16?
400
You must use substitution to solve: x + 4y = 30 and x - 2y = 0
What is y=5 and x=10?
400
A basketball team scored a total of 80 points in a basketball game last night. The team made a total of 37 two-point and three-point baskets. How many two-point shots did they make? How many three-point shots did they make?
What is 31 two-point shots and 6 three-point shots?
400

 6x - 2y = 10 and 3x + 7y = 37

What is x=3 and y=4?

500
You must use a graph to solve: y-3x=3 and y=3x-2
What is no solution?
500
You must use elimination to solve: (1/3)d + (1/4)b = 10 and (1/3)d - (1/2)b = 4
What is d=24 and b=8?
500
You must use substitution to solve: 3s - 2t = 4 and t - 2s = -1
What is s=-2 and t=-5?
500
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. What is the cost each of one small box of oranges and one large box of oranges.
What is $7 for a small box and $13 for a large box?
500

A forest inhabited only by borogoves and mome raths contains eighty-two creatures. Borogoves are two-legged animals, while a mome rath has 4 legs. If the forest contains a total of 234 legs, how many borogoves and how many mome raths live in the forest?

What is 35 mome rath and 47 borogoves?