Inequality & Absolute Value Jeopardy!

Solving "Basic" Inequalities

100

Solve: x + 8 < -3

x < -11

200

Solve: 14 > 6x - 10

4 > x

300

Solve: -7x + 3 < 45

x > -6

400

Solve: 9x + 5(3 - 2x) < -11

x > 26

500

Solve: -3(6 - 2x) > 14 + 8x

-16 > x

Compound Inequalities

100

Graph: -2 < x <= 3

See board

200

Solve: 2x - 7 < 13 or x + 8 > 22

x < 10 or x > 14

300

Solve: -15 <= -3x + 6 < 3

7 >= x >1

400

Solve: -2x + 11 < 3 or x/3 - 1 < -10

x > 4 or x < -27

500

Solve: -16 < 4(2x - 12) < 24

1 < x < 9

Absolute Value Equations

100

Solve: |x + 2| = 18

-20 and 16

200

Solve: |6x - 4| = -20

No solution

300

Solve: |3x - 12| = 9

7 and 1

400

Solve: |2x - 6| + 8 = 20

9 and -3

500

Solve: 2|x - 8| - 5 = 7

14 and 2

Absolute Value Inequalities

100

If an absolute value expression is LESS than a number, is that an "AND" situation or an "OR" situation?

"AND" situation

200

Solve: |x + 3| < 8

-11 < x < 5

300

Solve: |x - 8| >11

x<-3 or x>19

400

Solve: |2x + 5| > 19

x > 7 or x < -12

500

Solve: |-5x + 8| < 23

-3<x<31/5

Writing Inequalities & Other Stuff

100

Translate into an inequality: "4 more than a number is less than or equal to 16."

4 + x <= 16

200

When do you flip the sign of an inequality?

When you multiply or divide by a negative number

300

Tracie has at least 57 gumballs in a jar. Write an inequality to represent the situation.

x >= 57

400

An electrician earns $35 an hour. He wants to earn at least $1500 a week. Which inequality could be solved to determine the number of hours he would need to work? A) 35h < 1500 B) 35h > 1500 C) 35h <= 1500 D) 35h >= 1500

D

500

Will needs at least 800 points to be a finalist on a game show. He currently has 640 points with one round to go. Which inequality could be solved to determine the number of points needed in the last round in order for him to be a finalist? A) 640 + x <= 800 B) 640 + x >= 800 C) x - 800 >= 640 D) 640 + 800 > x

B