Name:______Modeling with Linear Equations & Inequalities CW (Day 2)

Name:______Modeling with Linear Equations & Inequalities CW (Day 2) Period:______Date:______

1. Nina can braid 48 inches of rope in 1 hour. What is her speed in feet per hour?

2. Molly jogged at a rate of 6 miles per hour. What was her speed in feet per second?

3. The area of the rectangle shown is more than 132 square inches. Write an inequality that can be used to find x and then solve for x.

4. A rectangle with a perimeter of 296 cm has a length that is 6 times the width. What is the width?

5. Leroy works part time for a moving company. One day he had to move 34 boxes from a truck to inside a house. After moving some boxes, he took a break and told his boss that he has only 15 more boxes to move. Write an equation that can be solved to find how many boxes Leroy moved before his break?

6. The maximum capacity of a theater is 471 people. So far, 254 people are seated in the theater. Write an inequality can be solved to show the number of people p that can still enter the theater.

7. A painter is working on a canvas that has a total area of 338 square inches. The canvas is x inches wide and twice as long as it is wide. Find the value of x. 8. Which problem could be solved using the inequality 4c 48 ? a. Four equal-priced shirts came to at least $48. b. Marty earned $48 for 4 hours of work. c. The product of 4 and a number is equal to 48. d. Four students split a restaurant bill that came to less than $48.

9. Which problem could be solved using the inequality 9a 45 ? a. Marty earned $45 for 9 hours of work. b. Nine equal-priced shirts came to at least $45. c. Nine students split a restaurant bill that came to less than $45. d. The product of 9 and a number is equal or equal to 45.

10. Solve the equation and justify for each step. 11. Solve the equation and justify for each step.

Solution Steps Justifications Solution Steps Justifications

æ x ö æ x 2ö -2ç- + 0.125÷ = 3 3ç - ÷ = 6 è 8 ø è0.5 3ø