Systems of Equations Test Review

Graphing

100

2) Graph the following system

-5x + y = -5

-4x + 2y = 2

Graph on your paper then have a group member bring it to me when finished.

(-1.5, -1.5)

200

4) How many solutions does the following system have?

y = 5x - 4

y = 5x - 5

One, none, or infinite?

No Solution

300

5) How many solutions does the following system have?

y = x + 4

y -4 = x

One, none, or infinite?

Infinite Solutions

400

6) How many solutions does the following system have?

y = 2x - 3

y = -x + 3

One, none, or infinite?

One Solution

500

3) Find the solution

y = 3x + 7

y = x - 9

(-8, -17)

Substitution

100

7) Find the solution

y = 2x + 3

y = 3x + 1

(2, 7)

200

8) Find the solution

y = 2x - 10

y = 4x - 8

(-1, -12)

300

9) Find the solution

y = x + 6

y = -2x -3

(-3, 3)

400

10) Find the solution

3y = -1/2x + 2

y = -x + 9

(10, -1)

500

11) Find the solution

y = 4x + 6

y = 2x

(-3, -6)

Elimination

100

14) Find the solution 

6x + 3y = -12

6x + 2y = -4

(2, -8)

200

15) Find the solution 

2x - 2y = -8

x + 2y = -1

(-3, 1)

300

16) Find the solution 

3x + 3y = -9

3x - 3y = 21

(2, -5)

400

17) Find the solution 

3x - 4y = -24

x + y = -1

(-4, 3)

500

18) Find the solution 

x + 2y = -6

3x + 8y = -20

(-4, -1)

Random

100

1) Find the solution 

-5x + y = -5

-4x + 2y = 2

(2, 5)

200

12) Find the solution 

3x + 2y == 7

y = -3x + 11

(5, -4)

300

19) Find the solution 

5x = -25 + 5y

10y = 42 + 2x

(-1, 4)

400

20) Find the solution 

3x - y = 28

3x + y = 14

(7, -7)

500

13) MEGA SUPER HARD QUESTION

The sum of two numbers is 82. Their difference is 24. Write a system of equations that describes this situation. Solve by elimination to find the two numbers.

x + y = 82

y - x = 24

53 and 29