Name: ______________________________________________ Block: __________________ Homework: Monday, October 26, 2015 Solve the following problems. You MUST show your work. NO WORK = NO CREDIT 1. One scuba diver descended 15 meters below the surface of a lake. Another diver descended 8 meters below the surface. At the same time, a seagull was flying 2 meters above the lake’s surface, and another seagull was flying 10 meters above the surface. Which situation has the greatest absolute value in relation to the surface of the lake? 2. Andrew sells cookies for 75 cents each. The amount of money he makes in dollars is 0.75x, where x is the number of cookies he sells. If he sells 15 cookies, how much money will he make? [Hint: The surface of the lake is 0 feet.] a. b. c. d. 3. The scuba diver that is 15 meters below the lake’s surface The scuba diver that is 8 meters below the lake’s surface The seagull that is 2 meters above the lake’s surface The seagull that is 10 meters above the lake’s surface Simplify. 6(9 - x) + 5(3x – 2) 5. 3 of your friends earn a combined total of X dollars by selling cola. They decide to split the money evenly. How much money will everyone get? 4. Translate the following phrase into an expression: 5 times the quantity of 4 less than x. 6. Factor. 35 – 56x Homework: Tuesday, October 27, 2015 Solve the following problems. You MUST show your work. NO WORK = NO CREDIT 1. Jay’s sister makes money by selling gloves. She can earn $2 from each pair of gloves. One month she sold x pairs of gloves, and paid $10 for materials. Write and solve an equation to show how much money she made this month? 2. Simplify. 3. Mary says the two expressions 4(5a – 8) + 2a and 12a – 6 are equivalent? Is she correct? 4. Simplify. 5. Factor. 6. Solve. 2x – 1.5 7x(y – 10) + 4(xy – 2x) + 2x -1.5(10x – 3) – 3(1.2x + 2.4) 6𝑥 = 18 10 Homework: Wednesday, October 28, 2015 Solve the following problems. You MUST show your work. NO WORK = NO CREDIT 1. Solve. a. x + 2 = 10 2. Write a word problem that would use the equation below: x = _____ 2p + 25 = 34 b. x – 2 = 10 x = _____ c. 2x = 10 x = _____ d. 𝑥 2 = 10 x = _____ 3. How is “multiplying by the reciprocal” used in solving equations? 4. Explain how the commutative and/or associative properties are used in simplifying linear expressions. 5. Simplify. 4(x + 1) + (5x + 2) 6. Mrs. Hicklin solved the equation; -4g – 12 = 20 ; g = 2 Is Mrs. Hicklin correct? Why? Why not? Homework: Thursday, October 29, 2015 Solve the following problems. You MUST show your work. NO WORK = NO CREDIT 1. Write a word problems that would 2. Solve. use the following expression: 𝑥+2 = −2 5 3(x + 2) 3. Simplify. 1 3(x − 8) – 2(4x − 12) 4. Solve. -7(x – 4) = -28 5. You want to finish a book over summer vacation. You have already read 30 pages and decide to read 2 pages per day, and after p days, you will finish it. How many pages does the book have in total? Describe when using the distributive property is not allowed. Provide an example that supports your answer.