7.6.16 cloned 4/26/2023

Last updated over 1 year ago
13 questions
1

1. Priya looks at the inequality
12 - x > 5 and says "I subtract a number from 12 and want a result that is bigger than 5. That means that the solutions should be values of x that are smaller than something."

Do you agree with Priya? Explain your reasoning in the space provided below and include solutions to the inequality in your explanation.

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2. When a store had sold 2/5 of the shirts that were on display, they brought out another 30 from the stockroom. The store likes to keep at least 150 shirts on display. The manager wrote the inequality
to describe the situation.
a) Explain what 3/5 means in the inequality.

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2b. Solve the inequality and graph on a number line.

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2c. Explain what the solution means in the situation.

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3. You know x is a number less than 4.

Select ALL the inequalities that must be true.

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4. Look at the unbalanced hanger on the left.

a) If you knew each circle weighed 6 grams, what would that let tell you about the weight of each triangle?

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4. Look at the unbalanced hanger on the left.

b) If you knew each triangle weighed 3 grams, what would that tell you about the weight of each circle?

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5. At a skateboard shop:
a) The price tag on a shirt says $12.58. Sales tax is 7.5% of the price. How much will you pay for the shirt?

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5b. The store buys a helmet for $19.00 and sells it for $31.50. What percentage was the markup?

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5c. The shop pays workers $14.25 per hour plus 5.5% commission. If someone works 18 hours and sells $250 worth of merchandise, what is the total amount of their paycheck for this pay period?

Show your work.

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Exit Ticket
Andre is making paper cranes to decorate for a party. He plans to make one large paper crane for a centerpiece and several smaller paper cranes to put around the table. It takes Andre 10 minutes to make the centerpiece and 3 minutes to make each small crane. He will only have 30 minutes to make the paper cranes once he gets home.

1. Andre wrote the inequality
3x + 10 ≤ 30
to plan his time.

Match the term to the meaning.

Draggable itemCorresponding Item
The number of minutes it takes to make the centerpiece.
x
Andre's time limit in minutes
10
The amount of time it takes to make x small cranes.
3x
The number of small paper cranes Andre will make.
30
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Exit Ticket

3x + 10 ≤ 30

2. Solve a Andre's inequality. Write your answer as a fraction.

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Exit Ticket

3x + 10 ≤ 30

2. Graph Andre's inequality and explain what the solution means.