Unit 3 Review

Graphing

100

Graph the two equations and give the intersection in coordinate (x, y) form.

{ y = x - 2

{ y = -2x + 7

(3, 1)

200

Graph the two equations and give the intersection in coordinate (x, y) form.

{ y = 5

{ x = -3

(-3, 5)

300

Graph the two equations and give the intersection in coordinate (x, y) form.

{ 3x + y = 5

{ x - y = 1

(3, -4)

400

Graph the two inequalities and shade accordingly.

y > -2

x < 1

*Check Graph

500

Graph the two inequalities and shade accordingly.

{ y ≤ 2x + 2

{ y < -x + 1

*Check graph

Substitution

100

Solve Using Substitution (Answer should be in coordinate (x , y) form.)

{ y = 3x + 1

{ x = 9

(9, 28)

200

Solve Using Substitution (Answer should be in coordinate (x , y) form.)

{ x = 2y + 1

{ 3x + y = 16

(5, 2)

300

Solve Using Substitution (Answer should be in coordinate (x , y) form.)

{ 2x + y = 11

{ x - y = 1

(4, 3)

400

Solve Using Substitution (Answer should be in coordinate (x , y) form.)

{ y = -x + 6

{ 2x + y = 8

(2, 4)

500

Solve Using Substitution (Answer should be in coordinate (x , y) form.)

{ 2x - y = 4

{ 3x + y = 11

(3, 2)

Elimination

100

Solve Using Elimination (Answer should be in coordinate (x , y) form.)

{ x + y = 10

{ x - y = 4

(7, 3)

200

Solve Using Elimination (Answer should be in coordinate (x , y) form.)

{ 2x + y = 11

{ 3x - y = 9

(4, 3)

300

Solve Using Elimination (Answer should be in coordinate (x , y) form.)

{ 2x - 2y = 4

{ 3x + 2y = 16

(4, 2)

400

Solve Using Elimination (Answer should be in coordinate (x , y) form.)

{ 2x + y = 7

{ 3x - 2y = 0

(2, 3)

500

Solve Using Elimination (Answer should be in coordinate (x , y) form.)

{ 2x + 3y = 13

{ 5x + 4y = 29

(4, 2)

Classifying Systems

100

What do we classify a system that has Parallel Lines?

Inconsistent

200

What do we classify a system that has coinciding (the same) lines?

Dependent

300

What do we classify a system that has Intersecting Lines?

Independent

400

Classify the system as Independent, Dependent, or Inconsistent.

{ 3x - 2y = 8

{ 4y = 6x - 5

Inconsistent

500

Classify the system as Independent, Dependent, or Inconsistent.

{ 2x + 8y = 6

{ x = -4y + 3

Dependent

Final Wager Round

500

Graph the inequality and give the solutions for the graphs

*Check Graph (No solution)