Enrichment - Writing and Solving Inequalities

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

• 1.75n + 0.75 ≥ 20
• 1.75n + 0.75 ≤ 20
• 0.75n + 1.75 ≥ 20
• 0.75n + 1.75 ≤ 20

Tags

CCSS.7.EE.B.4B

A parking garage charges $4.50 for each hour you park.  You have $18 in your pocket.  How many hours can you park?

• x > 4
• x < 4
• x ≤ 4
• x ≥ 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Sam make $10.25 per hour working at Cheddars.  He plans to buy a laptop for $550.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

• 10.25h < 550; less than 54 hours
• 10.25h > 550; greater than 54 hours
• 10.25h ≤ 550; at most 54 hours
• 10.25h ≥ 550; at least 54 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

-4x + 14 ≤ 54

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

Tags

CCSS.7.EE.B.4B

Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y

• y ≤ ½
• y ≤ 2
• y ≥ ½
• y ≥ 2

Tags

CCSS.7.EE.B.4B

You want to spend at most $1200 on a new laptop.  If you make a $400 down payment, then pay the same amount every month for 12 months.  Which Inequality could be use to solve to find out how much you can pay each month.

• 12x + 1200 > 400
• 12x + 400 < 1200
• 12x + 400 > 1200
• 12x + 400 < 1200

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3