Solving and Graphing Inequalities in One Variable

A carafe at a banquet holds about 12 cups of coffee. When the carafe has 1 cup or less of coffee left, the waiter dumps the coffee out and pours in a fresh pot. Each coffee mug at the banquet holds 6 ounces of coffee. Assuming each person fills his or her mug, what inequality represents the number of people who can fill their mugs before the carafe needs to be refilled?

(Hint: 1 cup = 8 ounces)

• 12 – 0.75x ≤ 1

• 12 – x ≤ 1

• 12 – 0.75x ≥ 1

• 12 – x ≥ 1

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 

• <, >

Tags

CCSS.6.EE.B.8

twice a number x plus 8 is greater than 12

• 2 + 8x < 12

• 2x + 8 > 12

• 2(x+8) ≠ 12

• 8(2+x) 

Tags

CCSS.7.EE.B.4B

Does the given value make the inequality true? x + 9 > 21, when x = 15

• True

• Not True

Tags

CCSS.6.EE.B.5

Does the sign need to flip when solving? -4y ≥ 28

• YES

• NO

Tags

CCSS.6.EE.B.8

20 ≥ x + 13

• x ≤ 7

• x ≥ 7

• x ≤ 33

• x ≥ 33

Tags

CCSS.7.EE.B.4B

What inequality does the number line graph represent?

• -x + 3 ≥ 1

• -5x + 3 > -7

• x + 1 < 3

• 5x + 3 ≥ 13

Tags

CCSS.7.EE.B.4B

Solve:
6x+10>5x-12

• x>2

• x<2

• x<-22

• x>-22

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

• x<24

• x>12

• x<12

• x>24

Does the given value make the inequality true? 
 x + 9 > 21, when x = 15

• True

• False

Tags

CCSS.6.EE.B.5