Solving/interpreting linear inequalities in one variable

Do not worry about the leaderboard.

I would much prefer you to be aiming for understanding and accuracy as opposed to speed and points

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A student wants to have 10 songs on his new playlist. He wants a mixture of pop songs and hip-hop songs.

Which of the following statements best represents the solutions to the scenario?

• The data will be on continuous since songs can be represented by integers.

• The data will be continuous because songs can be represented by rational numbers.

• The data will be discrete because songs can only be whole positive numbers.

• The data will be discrete because songs can be positive rational numbers.

For a charity event, the goal is to raise at least $500. If the current amount raised is $320, write and solve inequality to represent the remaining amount, r, that needs to be raised.

• r > 180

• r ≥ 180

• r < 180

• r ≤ 180

Tags

CCSS.7.EE.B.4

At a local ballpark a team charges $10 per ticket. The team must pay its players $4000. It costs the owners $6 for each souvenir they give away.

How many tickets must be sold to break even.

• 1000 tickets

• 10,000 tickets

• 600 tickets

• 660 tickets

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

CCSS.7.EE.B.4

20. WORD PROBLEM

Sarah needs to buy 5 shirts to wear to work. She has a $20 gift certificate. She can spend no more than $48 after using the gift card. What is the most she can spend on each of the shirts?

Sarah can spend ______ per shirt.

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

CCSS.7.EE.B.4

CCSS.7.NS.A.1

CCSS.7.NS.A.3

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. When both companies charge the same amount, how many t-shirts were sold?

• 8.5 shirts

• 9 shirts

• 159 shirts

• 12 shirts

Tags

CCSS.7.EE.A.1

CCSS.7.EE.A.2

CCSS.7.EE.B.3

CCSS.7.EE.B.4

Elliott decides to take his friends to a movie with his $50 of birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. What is the maximum number of friends Elliott could take with him to the movies?

(Be careful here- Elliott has to be removed from the group of friends before you answer!)

Solve the inequality/answer the question.

• x ≥ 5

• x ≤ 6

• x ≥ 7

• x ≤ 7

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

Joanne is raising money and needs to raise at least $1,000. She spends $50 on candy bars that she plans to sell. She expects to sell 150 candy bars. How much would she need to charge for each candy bar in order to make a $1000 profit? (Hint: she wants to earn a $1000 profit, so be careful on what you do with the costs)

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

CCSS.7.EE.B.4

CCSS.7.NS.A.1

Laverne is making bags of party favors for each of the 7 friends attending her birthday party. She does not want to spend more than $42 on the party favors. Write and solve an inequality to find the maximum cost for each party favor bag.
Let c represent the cost for each bag of party favors. 

• 7c ≤ 42 ; c ≤ 6
• 7c ≥ 42; c ≥ 6
• 7c < 42; c < 6
• 7c > 42; c > 6

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

Theo budgets $156 for karate classes. He buys a karate uniform, called a dogi, for $12. If it costs $8 to attend each karate class, which inequality below represents the number of classes, c, that Theo can take?

• c ≤ 18

• c ≥ 18

• c ≤ 21

• c ≥ 21

Tags

CCSS.7.EE.B.4