Grade 7 | Unit 6 | Lesson 16: Interpreting Inequalities | Practice Problems

Do you agree with Priya? Explain your reasoning and include solutions to the inequality \(12-x>5\).

When a store had sold \(\frac25\) 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. Explain what \(\frac35\) means in the inequality \(\frac35x+30 \geq 150\). Solve the inequality. Explain what the solution means in the situation.

You know \(x\) is a number less than 4. Select all the inequalities that must be true.

• \(x<2\)

• \(x+6<10\)

• \(5x<20\)

• \(x-2>2\)

• \(x<8\)

Here is an unbalanced hanger. If you knew each circle weighed 6 grams, what would that tell you about the weight of each triangle? Explain your reasoning.

Here is an unbalanced hanger. If you knew each triangle weighed 3 grams, what would that tell you about the weight of each circle? Explain your reasoning.

Match each sentence with the inequality that could represent the situation.

• A: Han got $2 from Clare, but still has less than $20.

• B: Mai spent $2 and has less than $20.

• C: If Tyler had twice the amount of money he has, he would have less than $20.

• D: If Priya had half the money she has, she would have less than $20.

At a skateboard shop, 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? Calculate the percentage markup if a helmet bought for $19.00 is sold for $31.50. Calculate the total paycheck for someone working 18 hours at $14.25 per hour plus 5.5% commission on $250 sales.