Equations & Inequalities

Find the solution to the equation modeled.

• x = 5

• x = 0.2

• x = 0.5

• No Solution

Tags

CCSS.8.EE.C.7B

A bucket on Bridget's porch has 2 ¹/₂ cups of water in it and collects ¹/₅ cups of rainwater each minute. A bucket on Cassie's porch is empty but collects ¹/₃ cups of rainwater each minute. Which inequality could be used to determine the number of minutes it would take for Cassie's bucket to have more water than Bridget's bucket?

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Find the value of x needed to make the equation true:

• x = -14

• x = -7

• x = 1/14

• x = -1/7

Which of the following questions could be solved by using the equation shown?

10,000 + 50x = 15,000 - 150x

• Radio Station A has 10,000 listeners and gains 50 listeners each minute. When will it have the same number of listeners as Radio Station B which has 15,000 listeners and gains 150 listeners each minute?

• Joe has $10,000 and spends $50 each day. When will he have the same amount of money as Beau who has $15,000 and spends $150 each day?

• Plan A is flying at 10,000 feet and ascends 50 fee each minute. When will it be at the same altitude as Plane B which is flying at 15,000 feet and descends 150 feet each minute?

• All of the above.

The graph shows the number of followers that two celebrities have on their social media accounts. What can you conclude from the point of intersection on the graph?

• After 10 weeks, Celebrity A will have 5,000 more followers than Celebrity B.

• After 10 weeks, Celebrity B will have 7,000 more followers than Celebrity A.

• After 5 weeks, each celebrity will have the same number of followers.

• After 10 weeks, each celebrity will have the same number of followers.

Tags

CCSS.8.EE.C.8C

Eddie found a store that sells cell phone cases for $18.50 plus $0.15 per letter engraved on the case. A second store sells cases for $18.00 plus $0.25 per letter engraved on the case. How many letters would Eddie have to engrave on his case for it to cost the same at either store?

• 5 letters

• 10 letters

• 7 letters

• 50 letters

Tags

CCSS.8.EE.C.8C

Find the value of x needed to make this equation true.

• x = 5

• x = 0.5

• x = 2.5

• x = 0.7

Car A is traveling at a speed of 61 mph and is increasing its speed 0.2 mph each second. Car B is traveling at a speed of 75 mph and is decreasing its speed 0.5 mph each second. After how many seconds will the cars be traveling the same speed, and how fast will they be going?

• After 65 seconds, the cars will both be traveling at 20mph.

• After 20 seconds, the cars will both be traveling at 65 mph.

• After 10 seconds, the cars will both be traveling at 66 mph.

• After 18 seconds, the cars will both be traveling at a speed of 70 mph.

Tags

CCSS.8.EE.C.8C

Donna makes $9.75 per hour at her job. Kaylee makes $4 per hour at her job, and she receives a $0.25 raise each month. Which inequality could be used to find the number of months it will take for Kaylee to earn at least as much as Donna per hour?

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Tags

CCSS.7.EE.B.4B

Which of the following problems could be solved by using the inequality shown below?

• Bruce built a snowman that is 40 inches tall and is melting 1/3 inch every minute. After how many minutes will Bruce's snowman be shorter than Calvin's snowman that is 30 inches tall and melting 1/5 inch every minute?

• Jennifer's gummy worm is 40mm long, and she eats 1/3 mm per second. Joey's gummy worm is 20 mm long and he eats 1/5 mm per second. After how many seconds will Jennifer have a smaller amount of gummy worm left than Joey?

• Both A and B can be answered with the inequality.

• Neither A nor B can be answered with the inequality.

Tags

CCSS.7.EE.B.4B