Homework- Section 1.4 and 1.5
Write an equation or inequality. (1.4)
4. The difference of a number z and 11 is equal to 35.
8. The product of 4 and a number w is at most 51.
10. The product of 8 and a number k is greater than 4 and no more than 16.
Check whether the given number is a solution of the equation or inequality. (1.4)
18. 26.
23. 22.
Solve the equation using mental math. (1.4)
30. 33.
Write an open sentence for the following. Then check whether is a solution of the open sentence. (1.4)
36. 4 more than twice a number k is no greater than the sum of k and 11.
Problem Solving. (1.4)
40. Compact Discs. You buy a storage rack that holds 40 CDs. You have 27 CDs. Write an inequality that describes how many more CDs you can buy and still have no more CDs than the rack can hold. Then you buy 15 CDs. Will they all still fit?
44. Open-Ended. Describe a real-world situation you could model using the equation 5x = 50. Use mental math to solve the equation. Explain what the solution means in this situation.
46. Extended Response. Your school’s service club is sponsoring a dance in the school gym to raise money for a local charity. The expenses will be $600. The club members will sell tickets for $10. They hope to raise enough money to cover the expenses and have enough left to donate $1000 for charity.
a. How many tickets must they sell to cover their expenses?
b. How many tickets must they sell to cover their expenses and meet their goal?
c. The school allows no more than 200 students in the gymnasium for a dance. Can the club members sell enough tickets to exceed their goal? What is the greatest possible amount by which they can exceed their goal? Explain your reasoning.
48. Challenge. Each of the long sides of a rectangle has a length of x inches. Each of the other sides is 1 inch shorter than the long sides. The perimeter of the rectangle is 22 inches. Find the length and the width of the rectangle. Justify your answer.
Reading and Understanding: Identify what you know and what you need to find out. You do not need to solve the problem. (1.5)
5. Temperature. One day, the temperature in Rome, Italy, was 30 C. The temperature in Dallas, Texas, was 83. Which temperature was higher?
State the formula that is needed to solve the problem. You do not need to solve the problem.
9. A store buys a baseball cap for $5 and sells it for $20. What is the profit?
Problem Solving Part 2. (1.5)
15. Framing. For an art project, you make a square print with a side length of 8 inches. You make a frame using strips of wood 1 inches wide. What is the area of the frame?
18. Pizza. Thick crust pizza requires about 0.15 ounce of dough per square inch of surface area. You have two rectangular pans, one that is 16 inches long and 14 inches wide, and one that is 15.5 inches long and 10 inches wide. How much more dough do you need to make a thick crust pizza in the larger pan than in the smaller one?
23. Challenge. You and your friend live 12 miles apart. You leave home at the same time and travel toward each other. You walk at a rate of 4 miles per hour and your friend bicycles at a rate of 11 miles per hour.
a. How long after you leave home will you meet? How far from home will each of you be?
b. Suppose your friend bicycles at a rate of 12 miles per hour. How much sooner will you meet? How far from home will each of you be?