MUE Ch 5 Equations and Inequalities

Write an equation: Two restaurants donated a percentage of one day's sales to a school. Pizza donated $350 and 5% of their sales. Subs donated $400 and 4% of their sales. After x amount of sales, they will have donated the same amount.

​ (a)   x + ​ (b)   = 0.04​ (c)   + ​ (d)  

• 0.05
• 0.5
• 350
• 400
• x
• y
• 0.04
• 0.4

Tags

8.8.A

Rebecca is downloading two seasons of episodes of a TV show at a constant stream. The computer has already downloaded 4.5 episodes and takes 5 minutes to download each episode. Her laptop is downloading the other season and takes 2 minutes to download each episode. At what number of minutes, x, will the laptop and the computer have downloaded the same number of episodes? Write an equation and solve for x.

Tags

8.8.A

8.8.C

Liam and Alexa are writing 1,000-word essays for school. Liam's paper is 214 words and he adds 5 words per minute. Alexa's paper is 181 words and she adds 8 words per minute. When they have typed the same number of words, how many more words do they each need to type to reach 1,000 words?

• 269

• 364

• 636

• 731

Tags

8.8.A

8.8.C

Megan and Colin each borrowed money to purchase a computer. Megan's computer cost $600. She made an initial payment of $75 and pays $25 per month. Colin's computer cost $500. He made an initial payment of $140 and pays $20 per month. After how many payments will the amount they paid toward the money they borrowed be the same?

• 5

• 13

• 20

• 400

Tags

8.8.A

8.8.C

Each of two classes has a total of 500 surveys to be completed by their classmates. Class A has 48 completed surveys and completes 12 more each day. Class B has 28 completed surveys and completes 14 more each day. Write an equation to show when the number of surveys completed will be the same. 500 - 48​ ​ (a)   ​ (b)   = ​ (c)   - 28-​ (d)  

• 12x
• 14x
• 500

Tags

8.8.A

Vanessa and Robert are training for a marathon. Vanessa has already run 12 miles and runs 50 miles per week. Robert has already run 8 miles and runs 62 miles per week. Which inequality represents the time in weeks at which Vanessa will have trained more than Robert for the marathon?

Tags

8.8.A

In McAllen: HEB charges $12 per container and $2.50 to pick berries. Strouds charges $8 per container and $3.90 to pick berries.

In Alamo: HEB charges $2.50 per container and $12 to pick berries. Strouds charges $3.90 per container and $8 to pick berries.

• In Alamo, for how many containers will HEB cost less than Strouds?

• In Alamo, for how many containers will HEB cost more than Strouds?

• In McAllen, for how many containers will HEB cost less than Strouds?

• In McAllen, for how many containers will HEB cost more than Strouds?

Tags

8.8.A

Organize these options into the right categories

Groups:

(a) Less than

,

(b) Greater than

,

(c) Less than or equal to

,

(d) Greater than or equal to

• smaller

• not less than

• minimum

• exceeding

• at most

• at least

• over

• more

• under

• maximum

• shorter than

• above

• no more than

• fewer than

• less

• not exceeding

Tags

8.8.A

• could be
• could not be

Tags

8.9

What is the solution to this system of equations?

Tags

8.9