7.10A 7.10C Writing Equations and Inequalities

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35
• .50x = 35
• .50 + 20x = 35 
• .50x - 20 = 35

Tags

CCSS.HSA.CED.A.3

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

• 11x + 6 = 39
• 11x - 6 = 39
• 11 + 6x = 39
• 66x = 39

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

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