Two-step Equations (includes word problems, week 2)

Match each equation to its written form. 3x + 12 = 15 the product of x and 3 increased by 12 is 15 x - 12 = 15 the quotient of x and 3 decreased by 12 is 15 3x - 12 = 15 the product of x and 3 decreased by 12 is 15 x + 12 = 15 the quotient of x and 3 increased by 12 is 15 3x + 6 = - 18What is x equal to? x = 8 x = - 8 x = 4 x = -4 Twice b decreased by 3 is 19What is b equal to? b = 8 b = 44 b = 32 b= 11 What is x equal to? x = 52.25 x = 22.25 x = 0.89 2.09 Match the real-life situation to the correct equation. There were 80 people in a restaurant. There were 5 tables of customers and 15 waiters. How many customers were at each table? 5x + 15 = 80 John worked 5 hours last week. He gave 15 dollars to his friend. If he has 80 dollars now, how much does he make per hour? 5x - 15 = 80 Jennifer spent one-fifth of her money on books. To earn more money, she washed the dog for 15 dollars. How much did she start with if she now has 80 dollars? x + 15 = 80 Last month, Eli spent one-fifth of his paycheck on gas for his car. He also paid 15 dollars on new wiper blades. How much did he start with if he now has 80 dollars? x - 15 = 80 Write and solve an equation. You bought a tub of popcorn for $6 and 4 drinks. You spent a total of $13. How much was each drink? 6 + 4d = 13d = $1.75 4 + 6d = 13d = $1.50 4d - 6 = 13d = $3.17 6d - 4 = 13d = $2.83 A plumber charges a flat rate of $90 plus $65 for each hour that she works. If she charged a customer $382.50, how many hours did she work? 4 hours 4.5 hours 5 hours 5.5 hours Luther sold one-half of his Lego sets and then bought 4 more. He now has 24. How many sets did he start with? 14 10 56 40 A teacher gave a student a riddle. She said "200 reduced by 3 times my age is 41". How old is the teacher? 80 52 53 77 It cost $5 to go to Fun Night. For every game you play, the fee is $0.75 for each game. If you have $11, how many games can you play? FIRST: In the space below, write an equation to represent the real-life situation. Remember, the variable and operation should be on one side of the equation and the total on the other.SECOND: Solve the equation - make sure you show your work. Make sure you check your answer with a calculator and that your answer makes sense.😊