Systems of Equations Review

Solve by Graphing

100

y = -6x - 3

y = -x + 2

(-1,3)

200

y = -2x + 9

y = 2x + 5

(1,7)

300

y = 3x + 6

y = 3x + 2

No Solution

400

2x + y = 10

-2x + 5y = -10

(5,0)

500

y = x

y = 1

(1,1)

Solve by Substitution

100

y = -2x + 1

2x - 2y = 4

(1,-1)

200

y = 2x + 4

-5x - 5y = -5

(-1,2)

300

8x - 8y = -24

3x + y = 23

(5,8)

400

2x + y = 7

-2x - y = 6

No Solution

500

-7x + 7y = -21

4x - 2y = 22

(8,5)

Solve by Elimination

100

-8x - 10y = 28

4x + 10y = -24

(-1,-2)

200

5x - 7y = -2

-5x - 10y = -15

(1,1)

300

-3x - 2y = -23

6x + 12y = 30

(9,-2)

400

-4x - 8y = 8

8x + 16y = -16

Infinite Solutions

500

-2x - 7y = 22

-7x - 5y = -1

(3,-4)

Math Brain

100

You have 8 eggs. You break 2, cook 2, and eat 2. How many eggs do you have left?

6

200

What is the next number in the sequence?

7,645   5,764   4,576 ...

6,457

300

What two coins can you have in your pocket to equal $0.30 IF one of the coins is NOT a quarter?

1 quarter and 1 nickel

400

How can you add eight 8's to equal 1,000?

888 + 88 + 8 + 8 + 8 = 1,000

500

2 + 2 = 4 and 2 x 2 = 4... Find a set of three different whole numbers who's sum is equal to their total when multiplied.

1 + 2 + 3 = 6

1 x 2 x 3 = 6