Chapter 5.1-5.4 Review

5.1 Graphing

100

Tell whether the ordered pair is a solution of the system of linear equations.

(8,2)

x-y=6

2x-10y=4

Not a Solution

200

Tell whether the ordered pair is a solution of the system of linear equations.

(-4,-2)

y=2x+6

y=-3x-14

Is a solution

300

Solve the system of linear equations by graphing

y=-x+4

y=2x-8

(4,0)

400

Solve the system of linear equations by graphing

4x-4y=3

y=-5

(0,-5)

500

Solve the system of linear equations by graphing

3y+4x=3

x+3y=-6

(3,-3)

5.2 Substitution

100

Solve the equation for y

x-2y=0

y=1/2

200

Solve the equation for y

3x+5y=25

y=-3/5x+5

300

Solve the system of linear equations by substitution.

6x-9=y

y=-3x

(1,-3)

400

Solve the system of linear equations by substitution.

-5x+3y=51

y=10x-8

(3,22)

500

Solve the system of linear equations by substitution.

2x-y=23

x-9=-1

(8,-7)

5.3 Elimination

100

Solve the system of linear equations by elimination

9x+y=2

-4x-y=-17

(-3,29)

200

Solve the system of linear equations by elimination

-x+y=4

x+3y=4

(-2,2)

300

Solve the system of linear equations by elimination

10x-9y=46

-2x+3y=10

(19,16)

400

Solve the system of linear equations by elimination

-2x-5y=9

3x+11y=4

(-17,5)

500

Solve the system of linear equations by elimination

12x-7y=-2

8x+11y=30

(1,2)

5.4 Special Cases

100

Determine whether the system has one solution, no solution, or infinitely many solutions

-x+y=1

x-y=1

No Solution

200

Determine whether the system has one solution, no solution, or infinitely many solutions

2x-2y=4

-x+y=-2

Infinitely Many Solutions

300

Solve the system of linear equations.

y=-6x-8

y=-6x+8

No Solution

400

Solve the system of linear equations.

15x-5y=-20

-3x+y=4

Infinitely Many Solutions

500

Solve the system of linear equations.

3x-2y=-5

4x+5y=47

(3,7)

Mixed Review

100

What is Mrs. Saryian's cat's name? 

Izzy

200

Solve the system of linear equations.

-3x+5y=13

x+4y=-10

(-6,-1)

300

Solve the system of linear equations by substitution

y=2x-5

-x+y=2

(7,9)

400

Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus of $50. Is it possible for Suri and Juan to make the same amount of wages, y, by working the same number of hours, x, in one week? Explain.

Yes, when they both work 25 hours. 

y = 15x + 25

y = 14x + 50

500

Solve the system of linear equations by elimination

-3x+4y=18

6x+2y=-6

(-2,3)