Module 2 Study Guide 1. A teacher asks five different students to write an equation with a solution of 4. The students and their equations are shown below. Student Equation Adrian 2 + 6 2 Bert 2 9 1 Camille 2 + 12 4 Daniel 2 + 2 10 Etsuko 2 10 12 Which of the following students correctly wrote an equation with 4 as the solution? Select all that apply. a. Adrian b. Bert c. Camille d. Daniel e. Etsuko 2. Which of the following word problems can be solved using equation 10 15 60? Select all that apply. a. Kit buys 10 packages of batteries. After using a $15 coupon, the batteries cost $60. What was the original price x, in dollars, of each package of batteries? b. Ursula bought 10 calculators at a store and paid $60. Each calculator was on sale for $15 off. What was the original price x, in dollars, of each calculator? c. Siobhan originally has $15. After working as a waiter in a restaurant for $10 an hour, he now has $60. How many ours x did Siobhan work at the restaurant? d. Gary worked for 10 hours of tutoring students at the library. He uses $15 to pay for gas on his way home. If he has $60 left after paying for gas, how much money, x, in dollars was Gary paid per hour? 3. Jeanie buys 4 pairs of jeans at dollars each and a t-shirt for $5.99. Jeanie states that the total cost, before taxes, of her purchases is $77.95. Determine the value of that would make Jeanie’s statement true and explain your reasoning. For #4-8, define your variable(s). Write an equation. Solve. Answer each question in a complete sentence. 4. You bought a magazine for $5 and four erasers. You spent a total of $15. How much did each eraser cost? 5. Elizabeth has $26 left after shopping at the mall. She bought 2 shirts for $22.99 each, a drink for $2.02, and 2 books for $16 each. How much money did she start with? 6. The sum of three consecutive integers is 306. Find the integers. 7. The sum of two numbers is 52. One number is three less than quadruple the other number. What are the two numbers? 8. The sum of four consecutive integers is 154. Find the integers. 9. Annabel went to the beach for the day and rented a surfboard. The surfboard rental was $7.00 per hour, plus a rental fee of $12.00. Part A: Which equation could Annabel use to find the total cost c of renting a surfboard for the number of hours? a. 7 + 12 c b. 7 + 12c c. 12 + 7c d. 12 + 7 c Part B: What would be the total cost of Annabel renting the surfboard for 6 hours? 10. Each answer choice below shows an equation and a value for. Which of the following is/are true? Select all that apply. a. If 3 x + 6 15, then x 3. b. If 4 x 7 36, then x 37. c. If 5x + 10 20, then x 2. d. If 6x 12 48, then x 10. e. If 7x 14 28, then x 6. f. If 8 x 4 32, then x 8.