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.