Math 8 Unit 4 Review

One Step Equations

100

x+6=15

x=11

200

x-5=24

x=29

300

7x=63

x=9

400

x/3=8

x=24

500

x/-4=7

x=-28

2-step equations

100

7x+2=23

x=3

200

DAILY DOUBLE!!!!!!!

-8x-9=39

x=-6

300

x/3-6=-4

x=6

400

(x + 19)/ 2= 25

x=31

500

(a - 2)/ 4 = - 6

x=-22

Systems of equations

100

Find the solution for the system:

{(y=2x-4),(y=2x+3):}

No solutions

200

Find the solution to the system:

{(y=1/3x+4),(y=2x+4):}

(0,4)

300

Find the solution to the system:

{(-3x+1),(2x-4):}

(1,-2)

400

Find the solution to the system:

{(y=-2x+3),(y=x-3):}

(2,-1)

500

Find the solution to the system:

{(y=4/3x),(y=-2x+10):}

(3,4)

Verifying Solutions

100

Is (3,-4) the solution to this system of equations? If not, why?

{(y=-2x+2),(y=1/3x-5):}

Yes

200

Is (-2,3) the solution to this system of equations? If not, why?

{(y=-3x-3),(y=4x+4):}

No, the point does not work in y=4x+4

300

DAILY DOUBLE!!!!!

Is (3,3) the solution to this system of equations? If not, why?

{(y=1/3x+2),(y=-1/2x+2):}

No, the point does not work in y=-1/2 x+2

400

Is (2,1) the solution to this system of equations? If not, why?

{(y=5/2x-4),(y=-x+3):}

Yes

500

Is (4,-1) the solution to this system of equations? If not, why?

{(y=-3/2x+1),(y=1/2x-3):}

No, the point does not work for y=-3/2 x+1

Story Problems

100

Braylen decided to start mowing lawns to earn some money. He had $20 when he started, and decided to charge $10 per lawn. Write an equation to model this situation.

y=10x+20

200

Miguel got 200 dollars for his birthday, and spent an average of 5 dollars a day on snacks.

Write an equation to model this situation.

y=-5x+200

300

Caidence and Latoya are competing to see who can get more instagram followers. Caidence started with 400 followers, and gains an average of 3 followers a day. Latoya started with 300 followers, and gains an average of 8 followers a day.

Write a system of equations to model this situation

y=3x+400

y=8x+300

400

Shaun is saving up to buy a new gaming system. The one he wants is $300. He currently has $40, and his parents give him $20 a week as an allowance. How many weeks will it take for him to save up enough money?

13 weeks

500

Elsa is trying to decide between two jobs. Job A offers a $500 sign-on bonus, and pays $520 a week. Job B does not have a sign-on bonus, but pays $760 a week. If she is planning on working for 12 weeks, which job should she take?

Job B (total of $9,120)