(6/7) 7.10 C Assigned: Apr. 18 Due Apr. 19 @8pm

Which situation is best represented by the equation shown below?
6x + 36 = 42

• Sid bought some pens that cost $6 each and three binders that cost $12 each. The cost of Sid’s total purchase is $42. What is x, the number of pens Sid bought? 
• Sid bought some pens that cost $6 each and three binders that cost $36 each. The cost of Sid’s total purchase is $42. What is x, the number of pens Sid bought? 
• Sid spent $42 at the store. He bought some binders that cost $36 each and a pen for $6. If Sid spent a total of $42, what is x, the number of binders Sid bought? 
• Not here

Tags

CCSS.HSA.CED.A.3

Which problem situation matches the equation below?
40x = 240

• Mariana has $240 in her savings account. She gave $40 to her brother. What is x, the amount of money Mariana has left? 
• Megan bought a TV that normally costs $240. She purchased the TV with a 40% discount. What is x, the amount of money Mariana saved when she bought the TV on sale? 
• Marcus has 240 feet of wood. He cut the wood into 40 pieces. What is x, the number of pieces of wood Marcus cut? 
• Jeff bought 40 bags of candy that cost $2.40 each. What is x, the amount of money Jeff spent on candy

Tags

CCSS.6.EE.B.7

Which of the following represents the inequality below?
4x + 6 ≤ 35 

• Melissa wants to run 35 miles this week. She has already run 4 miles. The trail by her house is 6 miles long. How many times must Melissa run around the trail in order to meet her goal?
• Joshua is shipping a box. The maximum weight of the box must be 35 pounds to qualify for a discount. Joshua’s box contains a 4-pound pack of paper. How many 6 pound- packs of envelopes can he put in the shipping box without exceeding the maximum weight? 
• Gabby is creating flower bouquets. She spent $6 on supplies and picked the flowers from her garden. She plans to sell each bouquet for $4. How many bouquets must she sell in order to make a profit of at least $35? 
• Sophie has a $35 online gift card. She wants to buy some books that cost $4 each. There is a shipping charge of $6. How many books can Sophie buy?

Tags

CCSS.7.EE.B.4B

There are 12 chairs in Classroom A, 21 chairs in Class B, and 24 chairs in Classroom C. Each seat costs the same and the chairs total $100.50. Which of the following equations can be used to find x, the cost of one chair?

• 12 + 21 + 24 = 100.50x
• 12 + 21 + 24 = 100.50 + x 
• 12x + 21x + 24x = 100.50 
• 12/x +21/x +24/x = 100.50

Tags

CCSS.HSA.CED.A.3

A phone company charges a sign-up fee of $3.50, plus $x for every hour the phone is used. If Brian talked on the phone for 12 hours and paid a total of $75.50, which of the following equations can be used to find, x, the hourly rate of the phone plan?

• 3.50 + x = 75.50 
• 3.50 - x = 75.50 
• 75.50 + 12x = 3.50 
• 3.50 + 12x = 75.50

Tags

CCSS.HSA.CED.A.3

A local gym charges $580 per year for a membership, plus $20 for a one-week boot camp class. If Jason has less than $800 per year to spend for a gym membership and boot camp classes, which inequality can be used to find c, the greatest number of boot camp classes Jason can take in one year? 

• 580 < 20c – 800 
• 800 ≥ 580 – 20c 
• 580 ≤ 20c + 800 
• 800 > 580 + 20c

Tags

CCSS.7.EE.B.4B

Mrs. Hundley’s class is collecting cans for a food drive. The class goal is to collect 80 cans. Students have already collected 16 cans, and plan to donate 4 more cans every week until they reach their goal. Which of the following could be used to determine x, the number of additional weeks that Mrs. Hundley’s class collects cans? 

• 16x + 4 = 80
• 16x - 4 = 80
• 4x + 16 = 80
• 4x – 16 = 80

Tags

CCSS.7.EE.B.4A

A t-shirt company spends $84 to design and print a customer’s design, and charges $12 per shirt to print the design on a shirt. Which inequality best represents, x, the number of t-shirts the company needs to sell to pay for the design and print cost, and earn a profit of at least $480? 

• 12x + 84 ≤ 480 
• 12x - 84 ≤ 480 
•  12x + 84 ≥ 480 
•  12x - 84 ≥ 480 

Tags

CCSS.7.EE.B.4B

Which problem situation matches the equation below?
7 + 0.50x = 27

• A movie theater charges $7 for a ticket, plus $0.50 per snack item. How many snack items can a person buy if they spent a total of $27? 
• Sarah downloaded an APP for her phone that cost $6, plus some songs that cost $0.50 each. How much did the Sarah pay for the APP and songs if she downloaded 27 songs? 
• A babysitter charges $6 per hour, plus $0.50 for each kid she babysits. How many children could be babysat for $27?
• Claire earns $7.50 per hour at her job. How long will Claire need to work in order to earn $27?

Which problem situation matches the equation below?
 3x + 6.55= 8.5

• Three sides of a quadrilateral have a total length of 6.55 inches. If the perimeter of the quadrilateral is 8.5 inches, what is the length of the fourth side? 
• Jake bought 3 pens for $6.55 each and a pencil bag. The total for all of the items was $8.50. How much did the pencil bag cost? 
• Mark bought 3 pencils and a pen. The pen cost $6.55. If Mark spent a total of $8.50, how much did each pencil cost? 
• Eduardo has a piece of fabric that is 8.5 yards. He cuts the fabric into 3 pieces. Two of the pieces are the same length, and are 6.55 yards longer than the third piece. How long is the third piece of fabric?