writing inequalities

Damian 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

Tags

CCSS.7.EE.B.4B

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Tags

CCSS.7.EE.B.4B

Which word problem represents the inequality:

x + 32 ≥ 80

• Janine's goal is to earn at least $80 for soccer camp. She has earned $32 so far. How much more does she need to earn?

• Janine made more than 80 points during the basketball season. She made 32 points the first five games. How much did she score the rest of the games?

• Janine scored above an 80 on her math homework. But, she turned her work in late and was deducted 32 points. What did she make after the deduction?

At the Big Bear video rental store, blank CDs cost $1.50 each and blank DVDs cost $3.25 each. Which of the following statements best describes the number of CDs (c) and DVDs (d) that can be purchased for less than $65.00?

• 1.50c + 3.25d < 65

• 3.25c + 1.50d <65

• 1.50c + 3.25d ≤ 65

• 3.25c + 1.50d ≤ 65

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

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?

• 200 + 25x ≥ 500
• 500 + 25x ≥ 200
• 500 - 25x ≥ 200
• 500 - 25x ≤ 200

Tags

CCSS.7.EE.B.4B

The inequality below represents a situation.

12 + 20x < 4 + 22x

Which word problem could the inequality represent?

• At gym A, there is a startup fee of $12, and each month costs $20. At gym B, the startup fee is $4, but each month costs $22. After which numbers of months would gym B be more expensive?

• Wu and Liam start driving from the same point. After mile marker 4, Wu stops to rest every 22 miles, while after mile marker 12, Liam stops to rest every 20 miles. If they arrive at the same destination, will Wu have made more stops?

• Plan A charges 12¢ for the first minute of an international call and 20¢ for each additional minute, while plan B charges 4¢ for the first minute and 22¢ for each additional minute. Which call times, in minutes, make plan B more expensive?

• Sasha deposits $4 and adds $22 every week. George deposits $12 and adds $10 every 2 weeks. After which numbers of weeks will Sasha have saved more than George?

Which problem's situation can be represented by the inequality below?

25 + 12.50c ≥ 22.50c – 95

• Charles and Victor went to a comic store and purchased some comic books. Charles purchased c comic books for $22.50 each and then spent $25.00 on a comic book portfolio. Victor purchased a vintage comic book from the store for $95.00 and then purchased c more comic books for $12.50 each. How many comic books, c, would each boy purchase if Charles’ total amount due is greater than or equal to Victor’s total?

• Charles and Victor went to a comic store and purchased some comic books. Charles purchased c comic books for $12.50 each and then spent $25.00 on a comic book portfolio. Victor purchased a vintage comic book from the store for $95.00 and then purchased c more comic books for $22.50 each. How many comic books, c, would each boy purchase if Charles’ total amount due is greater than or equal to Victor’s total?

• Charles and Victor went to a comic store and purchased some comic books. Charles purchased c comic books for $22.50 each and then spent $25.00 on a comic book portfolio. Victor sold a vintage comic book to the store for $95.00 and then purchased c more comic books for $12.50 each. How many comic books, c, would each boy purchase if Charles’ total amount due is greater than or equal to Victor’s total?

• Charles and Victor went to a comic store and purchased some comic books. Charles purchased c comic books for $12.50 each and then spent $25.00 on a comic book portfolio. Victor sold a vintage comic book to the store for $95.00 and then purchased c more comic books for $22.50 each. How many comic books, c, would each boy purchase if Charles’ total amount due is greater than or equal to Victor’s total?

1500 - 50x = 2000 - 100x

• There are two water tanks in the city. One has 1500 gallons and gains 50 gallons each hour. The other tanks has 2000 gallons and gains 100 gallons each hour. When will the tanks have the same amount of water?

• There are two water tanks in the city. One tanks has 1500 gallons and loses 50 gallons each hour. The other tank has 2000 gallons and loses 100 gallons each hour. When will the bigger tank have more water?

• There are two water tanks in the city. One tanks has 1500 gallons and loses 50 gallons each hour. The other tank has 2000 gallons and loses 100 gallons each hour. When will the tanks have the same amount of water?

• There are two water tanks in the city. One tanks has 1500 gallons and loses 50 gallons each hour. The other tank has 2000 gallons and gains 100 gallons each hour. When will the tanks have the same amount of water?