Digits, Grade 7, Volume 1, Homework Helper

### 2-6: TEKS Practice

• 1. Which situation does the inequality 5 plus 3 n less than or equal to 40 represent?

• A. You need to read 40 pages of a novel. You read 3 pages per minute. After how many minutes will you have fewer than 5 pages left?

• B. You have \$40 to buy your friends lunch. If each lunch costs \$5 and you plan to share a \$3 dessert, how many friends can you bring?

• C. You have \$40 to buy your friends lunch. If each lunch costs \$3 and you plan to share a \$5 dessert, how many friends can you bring?

• 2.

• a. Which description matches the inequality 27 greater than or equal to 4 x minus 7 question mark

• A. Add 4 to 27. Divide the sum by 7. The result is a number greater than or equal to an unknown quantity.

• B. Subtract 4 from 27. Divide the difference by 7. The result is a number greater than or equal to an unknown quantity.

• C. Multiply an unknown quantity by 4. Subtract 7 from the product. The result is less than or equal to 27.

• D. Subtract 7 from an unknown quantity. Multiply the difference by 4. The result is less than or equal to 27.

• b. Describe a real-world situation that could be represented by the inequality.

• 3.

• a. Which situation does the equation 5 equals , 1 fourth , x plus , 2.25 represent?

• A. Amy wants to bike 5 miles today. She already biked 2.25 miles around the track. Each lap around the track is 1 fourth mile. How many more laps does Amy need to bike?

• B. Amy wants to run 5 miles today. She already ran 1 fourth mile around the track. Each lap around the track is 2.25 miles. How many more laps does Amy need to run?

• C. Amy has already run 5 miles today. She wants to run 2.25 miles more. Each lap around the track is 1 fourth mile. How many more laps does Amy need to run?

• D. Amy went to a track and biked 5 miles in the morning and 2.25 miles in the afternoon. Each lap around the track is 1 fourth mile. How many laps did Amy bike altogether?

• b. What would it mean if the 5 in the equation were doubled? Explain your reasoning.

• 4. Error Analysis Ivan incorrectly says that the inequality 3 less than or equal to , 0.25 , x plus 1.5 represents the following situation:

Jose wants to bike no more than 3 miles today. He already biked 1.5 miles around the track. Each lap around the track is 0.25 mile. How many more laps can Jose bike?

• a. What is a situation that the inequality 3 less than or equal to , 0.25 , x plus 1.5 could represent?

• b. What error did Ivan likely make?

• A. He used a situation represented by the inequality 3 greater than or equal to , 0.25 , x plus 1.5 .

• B. He used a situation represented by the inequality 3 less than or equal to 1.5 x minus , 0.25 .

• C. He used a situation represented by the inequality 3 less than or equal to 1.5 x plus , 0.25 .

• D. He used a situation represented by the inequality 3 greater than or equal to , 0.25 , x plus 1.5 x .

• 5.

• a. Write a description that matches the equation 4 equals , 1 fourth , x plus 2 , and 1 half

• b. Describe a real-world situation that could be represented by the equation.

• 6.

• a. Write a description that matches the equation 150 equals , 11.40 , x plus 36 .

• b. Describe a real-world situation that could be represented by the equation.

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