LR Equation & Inequality Wrap-Up

LR Equation & Inequality

Wrap-Up

​Writing Equations from Word Problems

​Mallory bought pizza and soda for her birthday party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22?

Multiple Choice

YOU TRY:

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

• 40x + 20 = 340

• 20x + 40 = 340

• 20x - 40 = 340

• 20 + 340 = 40x

Multiple Choice

YOU TRY:

Liam buys 3 chocolate bars, he uses a $2 off coupon, and the total after the savings comes to $8. How much did each chocolate bar cost?

• 3x - 2 = 8

• 2 + 3x = 8

• 3 = 8x + 2

• 2 - 8 = 3x

Multiple Select

Which real world situation best represents

71 = 78 - 0.5x

Select two correct answers!

• A pool has 71 gallons of water and is filling at a rate of 0.5 gallon per minute. After how many hours

  will the pool have 78 gallons of water?

• The temperature started at 78° and is cooling down 0.5° per hour. If it is now 71°, how many hours

  have passed?

• Jim has $78 on a gift card. He purchased a few cokes that cost $0.50 each. If Jim now has $71 on

  his gift card, how many cokes did he purchase?

• Samuel has $71 in his bitcoin account. Each game Samuel downloads costs $0.50. How many

  games can Samuel download until he only has $78?

​Writing Inequalities from Word Problems

​Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

Multiple Choice

Last Friday Samantha had $22.50. Over the weekend, she received some money for cleaning. She now has more than $32.00. Which inequality represents this situation?

• 22.50 - x > 32

• 22.50x > 32

• 22.50 + x > 32

• 22.50 +x < 32

Multiple Choice

The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?

• 50 + 3.5x < 71
• 71 - 3.5x < 50
• 71 - 3.5x ≤ 50
• 71 + 3.5x < 50

Multiple Choice

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40
• 1.50x + 10 ≤ 40
• 1.50x + 10 <40
• 10x + 1.50 < 40

Multiple Choice

Which situation can be represented by this inequality?

25x + 40 ≥ 175

• Belinda has 25 coins in her collection. She will collect 40 new coins every year. Belinda collects coins for x years. For what values of x will Belinda have at least 175 coins?

• Belinda has 40 coins in her collection. She will collect 25 new coins every year. Belinda collects coins for x years. For what values of x will Belinda have at least 175 coins?

• Belinda has 40 coins in her collection. She will collect 25 new coins every year. Belinda collects coins for x years. For what values of x will Belinda have at most 175 coins?