Inequalities

Multi-Step Inequalities

100

9x – 6 < 3

What is x<1

200

20+4x>2(x+20)

What is x>10

300

2x + 5 < 3x -10

x > 15

400

3(x+1) +11 < -2(x+13)

x<-8

500

17-(4x-2)<2(x+3)

What is x>13/6

Compound Inequalities

100

X + 1 > 3 or 4/3x < -8

x < -6 or x>2

200

Solve -2<-2x-4<8

What is -1>x>-6

-6<x<-1

300

Solve -2<4x-10<6

2<x<4

400

Solve 

2x – 2 < –12 OR 2x + 3 > 7

x <-5 OR x > 2

500

Solve 12h-3>=15h or 5>-0.2h+10

h < -1 OR h>25

Absolute Value

100

Solve |x|-4>1

x>5 or x<-5

200

Solve |2x + 5|> 3

X<-4 or X>-1

300

Solve 3|2x+8|>30

x<-9 or x>1

400

10|x-4|-3>47

x<-1 or x>9

500

1/2 |4x-2|+11<15

x<3 and x>-1

Interval Notation

100

Write the interval notation for x > -2 

(-2, infinity)

200

Write the interval notation for x ≥ 2 or x<-6

(- infinity, -6) or [2 , infinity) 

300

Write the interval notation for -5 ≤ x < 4

[-5, 4)

400

Solve and write the interval notation for:

-39 ≤ 1/2 (10x - 18)≤ 16

-6≤ x ≤ 5

[-6,5]

500

Solve and write the interval notation for:

2/5 |5x +10| - 14 > -6 

x<-6 or x>2

(- infinity, -6) or (2, infinity)

Random

100

What comes after a trillion?

Quadrillion

200

What letter does every odd number have in it?

An E

300

What is the number of sides on a nonagon?

9

400

If you go to the movies and you’re paying, is it cheaper to take one friend to the movies twice, or two friends to the movies at the same time? Explain your answer.

It’s cheaper to take two friends at the same time. In this case, you would only be buying three tickets, whereas if you take the same friend twice you are buying four tickets.

500

Riddle: 

I am four times older than my son. In 20 years’ time, I will be twice as old as he is. How old are we now?  

40 and 10