8th Grade Equations and Inequalities

Equations With Variables on Both Sides and Distributive Property

100

Solve for h.

65h-7=5(3h-2)+3

h=0

200

Solve for a.

6(3a+1)-30=3(2a-4)

a=1

300

Solve for x.

10-2(x+3)=4(x-5)

x=4

400

Solve for x.

-3(2x-4)=2(x+10)

x=-1

500

Solve for m.

0.25(4m-8)=0.5(m+10)

m=14

One Solution, No Solution, or Infinitely Many Solutions

100

Identify if it is one solution, no solution, or infinitely many solutions.

9x+45=3(3x+15)

Infinitely Many Solutions

200

Make up a quick little jingle about math and sing it. (Does not have to be long at all)

If you did this, WOW!!!! Take 500 points.

300

Identify if it is one solution, no solution, or infinitely many solutions.

-(x-5)=-x+5

Infinitely Many Solutions

400

Identify if it is one solution, no solution, or infinitely many solutions.

3(x+1)=2(x+1)+x

No Solution

500

Identify if it is one solution, no solution, or infinitely many solutions.

2(x+3)+x=4x+6

One Solution

Absolute Value Equations and Inequalities

100

Find the values of x.

|2x|-6>4

x>5 and x<-5

200

Find the values of x.

|3x-4|=|x+6|

x=5 and x=-0.5

300

Who is the best accelerated math teacher EVER? There is only one right answer.

Mrs. Roberts obviously. (If that was not your answer, we all have our own opinions, so still take 300 points)

400

Find the values of x.

-3|2x+1|-5=-20

x=2 and x=-3

500

Find the values of x.

15-4|2x-10|+5<-20

x>10 and x<0

Inequalities With Rational Numbers

100

Find the values of x.

-1.2|0.5x-3|+4.8>-3.6

x<20 and x>-8

200

Find the values of x.

1.5-0.5|4x-2|<-2.5

x>5/2 and x<-3/2

300

Find the values of x.

0.75|4x-8|+2.5<11.5

x<5 and x>-1

400

I dare you to go up to Mrs. Roberts and thank her for being an amazing teacher or give your partner a compliment.

If you did that, then you get 500 points!

500

Find the values of x.

8.2-0.2|5x+10-2|<6.2

x>0.4 and x<-3.6

Interval and Set Notation

100

Ask your partner if they are having a good day.

If you did that, take 200 points.

200

Identify the set notation.

 6(x-2)<2

{x|x<7/3}

300

Identify the set notation. (Remember to use brackets, not braces)

-0.4(5-2.5x)>25

{x|x>27}

400

Identify the interval notation. (Remember to use braces, not brackets)

2(4x+2)+3>-15

(-infinity, -11/14)

500

Find the interval and set notation.

3(2x-4)+5<5x+8

x<15