Pre-Algebra Readiness Chapter 5 Review

Solving Systems by Graphing

100

Solve the system by graphing:

y = 3x - 1

y = x - 3

(-1, -4)

200

Solve the system by graphing:

y = -2x + 4

y = 5x - 3

(1, 2)

300

Solve the system by graphing (remember to get y by itself):

y = 1/3x - 2

2y = 2x - 12

(6, 0)

400

Solve the system by graphing (remember to get y by itself):

y + 1 = x

2y = 4x + 4

(-3, -4)

Solving Systems by Substitution

100

Solve the system by substitution:

y = x + 1

y = 3x + 3

(-1, 0)

200

y = 5x + 4

3x + y = 36

(4, 24)

300

Solve the system by substitution:

y = 6x - 4

5x - 2y = -6

(2, 8)

400

Solve the system by substitution:

x = 20y + 4

2x + y = 90

(44, 2)

Solving Systems by Elimination

100

Solve the system by elimination:

2x + y = 4

  x -  y = 5

(3, -2)

200

Solve the system by elimination:

 4x + 2y = 34

-4x -  y = -27

(5, 7)

300

Solve the system by elimination:

8x + 4y = 56

8x  - 2y = -4

(2, 10)

400

Solve the system by elimination:

3x + 4y = 24

2x  - 3y = -18

(0, 6)

Solving Special Systems

100

How many solutions are there between two parallel lines?

No solutions

200

Tell how many solutions the system has (use substitution):

y = -x + 2

2x + 2y = 4

Infinitely Many Solutions

300

Tell how many solutions the system has (use elimination):

 2x - 2y = 8

-6x + 6y = 12

No solution

400

Tell how many solutions the system has by finding slope and y-intercepts:

y = 3x - 1

3y = -9x + 3

One Solution

(different slopes)