1. Solve the following MULTIPLICATION two-step equations:
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1 Name: Date: / / 1. Solve the following MULTIPLICATION two-step equations: Remember: Get rid of constant FIRST (zero pairs); then, get rid of coefficient (divide on both sides)!! Change to ADDITION first! 5x 20 = = 2x + 90 Quiz Day 2. Solve the following DIVISION two-step equations: Remember: Get rid of constant FIRST (zero pairs); then, get rid of FRACTION (multiply on both sides)!! x 7 Change to ADDITION first! (-2) = -8-9 = x Solve the following miscellaneous fraction equations: REMEMBER: Multiply on BOTH sides by denominator FIRST! Get rid of constant FIRST; then, multiply by flip. x+12 2 = x + 4 = -2
2 Name: Date: / / To receive FULL CREDIT: 10 pt. Grade 1) Do stops FIRST, followed by other stops (in any order)! 2) MUST always be working on one of the tasks below, making GOOD use of time. 3) MUST sign your name at SUCCESSFUL completion of each task. Practice Stop Get a whiteboard and take turns making up your own one and twostep equations. Your partner must solve the equation you make up. Student signature: UNIT 4, DAY 5 Practice Stop 1) Go to my website 2) Click Computer Game Stop 3) Click Balance Scale Activity 4) Select Two-Step Equations 5) Practice 3 to 4 problems (about 5 minutes). Student signature: Stop Practice Stop Complete the Two-Step Equation Maze worksheet (attached). Stop Complete the Quiz. Student signature: Student signature: Student signature: Stop Complete the Four 4 s Challenge found on back table. It may take several classes to complete. Once finished, you will receive 4 stickers! STOP Complete any of the back table puzzles/ games/ activities. Pay attention and take accurate and complete notes! Student signature: Student signature: Student signature:
3 Name: Date: / /
4 Name: Date: / / What: equation word problems Why:... so I can use an EQUATION in order to solve for the unknown in several real-life situations. One-Step Word Problems (write AND solve an equation for each): HOW??? Step 1: key information!! Step 2: Identify the MAIN question this will be x the main! Step 3: Use the clues to set up an! GUIDED (Addition Equation) 1) Last week, Eric ran 8 more miles than Nick. Eric ran a total of 33 miles. How many miles did Nick run? YOUR TURN (Subtraction Equation): 2) Kaylee collected 14 less cans than Logan. Kaylee collected 54 cans. How many cans x did Logan collect? GUIDED (Multiplication Equation): 3) Juan finished three times the amount of math problems, compared to Maria. If Juan finished 27 math problems, how many did Maria finish? YOUR TURN (Multiplication Equation): 4) Mary sold 4 times as many candy bars as John (for the school fundraiser). If Mary sold 84 candy bars, how many candy bars did John sell? GUIDED (Division Equation): 5) Elizabeth won some money in a contest. She decided to split the money equally among herself and her two brothers (what a kind sister). She receives $73.26, after she split the money. How much money did she originally win?
5 Two-Step Word Problems: GUIDED: 1) Jane has $575 in her checking account. She has decided to deposit $85 per month until she has a total of $1,340. In how many months will this occur? YOUR TURN: 2) You have $75 in your checking account. You are saving for an i-pad that costs $500. You will save $25 per month until you have enough money. How many months m will this take? Let m = GUIDED: 3) George bought three video games at the same price. He also bought a DVD for $ If he spent $65.00 total, how much was each video game? MULTIPLE CHOICE (choose equation that matches situation): GUIDED: 4) At the basketball game, Will scored 4 points more than two times the # of points that Hank scored. Will scored 16 points. How many points p did Hank score? A) 4 + p² = 16 B) 4 + p = 16 C) 2p + 4 = 16 YOUR TURN: 5) During cross-country season, Kelly ran five miles more than three times the # of miles that Michelle ran. Kelly ran 95 miles. How many miles m did Michelle run? A) 3m - 5 = 95 B) 3m + 5 = 95 C) m + 3(5) = 95 Wrap-it-Up/ Summary: 1. What does x, the variable, stand for in an equation word problem?
6 NAME: DATE: / / Math-7 homework You may use a calculator, but you must show all steps!! One-Step Word Problems (write AND solve an equation for each): 1) Last week, Bob ran 5 more laps than Sheila. Bob ran a total of 12 laps. How many laps did Sheila run? (Hint: Use an addition equation to solve) 2) Shannon bought a book for $14.99, but used a coupon to receive a discount. Her total, after the discount, was $9.99. How much did the coupon save her? (Hint: Use a subtraction equation to solve) 3) How many bags of chips can you buy with $12.00 if one bag of chips costs $0.75? (Hint: Use a multiplication equation to solve) 4) You make a batch of homemade cookies that you decided to split equally among yourself and five of your friends at lunch. If each of you receive three cookies, how many cookies did you bake to begin with? (Hint: Use a division equation to solve) Two-Step Word Problems (write AND solve an equation for each): 1) You already have $225 in your checking account. You would like to save a total of $550, and have decided to save $65 per month. How many months will this take? 2) During football season, the Redskins scored a total of three more than three times the amount of points that the Cowboys scored. The Redskins scored a total of 336 points in the season. How many points did the Cowboys score? 3) Kiley bought four movie tickets at the same price. She also bought a jumbo popcorn for $8. If her total was $52, how much did she spend on each movie ticket?
7 Multiple Choice: 1) Jack earns $15 a week, plus $3.00 for every time he washes the dishes without being asked. Last week, Jack earned $27. Let x represent the # of times he washed the dishes. Which equation could be used to solve for x? A = 27x B. 15x + 3 = 27 C x = 27 D. 15 3x = 27 2) Olivia s car uses 3 times as much gas as Jane s car uses. If Olivia s car used 24 gallons of gas on a trip, which equation could be used to show how much gas Jane s car used on the same trip? A. 3x = 24 B. 3 + x = 24 C = x D. 24 x = 3 3) You buy four bracelets that were the same price each. You also buy a purse for $30. You spent a total of $40. Which equation could be used to solve for the amount that each bracelet costs? A. 4x 30 = 40 B. 4x + 40 = 30 C. 30x + 4 = 40 D. 4x + 30 = 40 4) Leslie gets paid $8 per hour to babysit. If Leslie got paid $64, which equation could be used to solve for how many hours, h, Leslie babysat? A. 8 + h = 64 B. 8h = 64 C = h D h = 8 5) Write a situation that matches the following equation x = 65
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Name: Date: / / 1. Solve the following MULTIPLICATION two-step equations: Remember: Get rid of constant FIRST (zero pairs); then, get rid of coefficient (divide on both sides)!! KCC for subtraction!! 5x
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