Inequality & Absolute Value Jeopardy!

Solving 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 + 3 - 2x < -11

x < -2

500

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

x < -1

Solving Equations

100

-4n - 5 + n = 7(7-7n) + 6(1+6n)

x = 6

200

48 = 4b - 4(4b - 3)

b = -3

300

1 = (2 + m) ÷ 21

x = 19

400

x/3 - 1 = -10

x = -27

500

4(2x - 12) = 24

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

Is it possible to have an absolute value equal a negative?

|x|= -4 ?

No! (Distance can never be negative)

200

Solve: |x + 3| < 8

-11 < x < 5

300

Solve: |2x + 5| > 19

x > 7 or x < -12

400

Solve: |x + 11| - 7 < -3

-15 < x < -7

500

Solve: -5|x + 8| > 20

No solution

Words into algebra

100

"The sum of a number and 4"

x + 4

200

"The difference between a number and 7"

x - 7

300

"Twice a number plus 2"

2x + 2

400

"A number is less than 0"

x < 0

500

Twice a number is greater than another number plus 2

2x > y + 2