Inequalities

The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?

• 106 - 4x ≤ 70
• 70 + 4x ≤ 106
• 4x - 106 ≥ 70
• 106 - 4x< 70

Tags

CCSS.7.EE.B.4B

Juan bought a soda for $2. He also bought some nachos for $3 each. Juan did not spend more than $14 on the nachos and the soda. Write an inequality can be used to find n, the number of nachos that Juan could have bought.

• 14≥2n+3
• 2+3n≤14
• 14-3n≤2

Tags

CCSS.7.EE.B.4B

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40
• 1.50x + 10 ≤ 40
• 1.50x + 10 <40
• 10x + 1.50 < 40

Tags

CCSS.7.EE.B.4B

Solve for k. 

7k – 2 ≥ -9

• k ≤ -1
• k≤1
• k≥1
• k ≥ -1

Tags

CCSS.7.EE.B.4B

16 - 4a > 8

• a<-2
• a>-2
• a<2
• a>2

Tags

CCSS.7.EE.B.4B

• x ≤ 12
• x ≥ 12
• x ≥ 14
• x ≥ 23

Tags

CCSS.7.EE.B.4B

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Tags

CCSS.7.EE.B.4B

-p − 4p > -10

• p > -2
• p > 2
• p < -2
• p < 2

Tags

CCSS.6.EE.B.8

Which graph matches the inequality
-2 ≥ n?

• A
• B
• C
• D

Tags

CCSS.6.EE.B.8

-9a - 1 < 26

• a<-3
• a<3
• a>-3
• a>3

Tags

CCSS.7.EE.B.4B