Multi-Step Equations

August 19th, 2013

Bell work43.25 - 7

•

3x + 7 = 28

Write an equation and solve

• 24 divided by the number of dogs, d, equals 3

12

34

79

Today’s Objective

I can solve multi-step equations using inverse operations.

Essential Questions

• What is a variable? How are they used to represent part of a word problem?

1.In what forms can rational numbers be written? How do you convert rational numbers into different forms?

2.What are equations? How do you solve equations?

3.What are strategies you can use to check reasonableness? Why are these strategies important?

VocabularyTwo step Equations

Equations that require two steps to solve

Inverse Operations

Operations that compliment each other

Addition & Subtraction, Multiplication & Division

Variable

A letter that represents one or more numbers

Solving a multi-step equation

12 W + 125 = 1,325

- 125 -125

12 W = 1,200

12 12

W = 100 Solution

Check your answer

12 W + 125 = 1,325

12 (100) + 125 = 1,325

1200 + 125 = 1,325

1,325 = 1,325

Let’s practice

On your white board, please solve AND check the following problem.

3 P - 10 = -4

Stand up when you are done

Independent Practice

• Solve the following multi-step equations AND check your answers!

2k - 7 = -29

-48 = 3K - 3

2 P + 5 = 105

16 N + 2=-46

2 X + 4 = 8

Word Problems

Write an equation and solve

•Nick is a plumber who charges $30 dollars an hour plus a fee of $25 for coming to your house. If the total bill was $115, how many hours did Nick spend at your house?

Write an equation and solve

•A cougar spots a fawn 126 meters away. The cougar runs towards the fawn at a rate of 18 meters per second. How many seconds did it take for the cougar to catch the fawn?

Write an equation and solve

•Tim loved to go running. One morning he went for a jog. He ran for 36 minutes at an average pace of 8 minutes per mile. How many miles did Tim run?

Write an equation and solve

Gayle is a chef who loves to cater birthday parties. Ms. Kennedy hired Gayle to cater her birthday party of an unknown number of people. She charges $2.25 per person plus a flat fee of $55. If the total bill was $285, how how many people attended the party?

Write an equation and solve

A basic turkey sandwich costs $4.50. Each additional topping costs $0.40. If Sammy’s sandwich cost $6.10, how many toppings did she get on her sandwich?

Write an equation and solve

Taylor and her 2 best friends went to the movies. Each movie ticket was $9.00. Each person got a small soda for $2.50 and a small popcorn for an additional price. If the total cost was $44.25, how much was each popcorn?

Write an equation and solve

Your mom gave you $50.00 to spend on new clothes. You bought 1 pair of jeans and 2 shirts and you had $13.50 leftover. How much did the jeans cost if the shirts were identical and were $8.99 each?

Closure

Most Valuable Point: What is your most valuable point of writing an equation from a word problem?