 Your friend’s mountain bike cost $245 more than his skateboard. His mountain bike cost $290. How much did your friend’s skateboard cost?  Write an equation and solve  Log into your chrome book  Go to: ◦  Click on your hour and post your thoughts…

 Adding and Subtracting Integers  Properties of addition  Multiplying and Dividing Integers  Solving one-step equations with addition and subtracting

 Discuss… ◦ What is the goal when solving equations? ◦ What are the steps to solve this problem? ◦ What allows me to do those steps?  Properties?  Concepts?

 Students will learn to… ◦ Solve one-step equations with multiplication and division.

 Integer Operations Assessment ◦ Thursday ◦ Friday

 Inverse operation  Isolate the variable  Multiplication Property of Equality ◦ If you multiply each side of an equation by the same number, the two sides remain equal.  Division Property of Equality ◦ If you divide each side of an equation by the same nonzero number, the two sides remain equal.

 4x = 32 Goal: Isolate the variable Question: How can I get the variable by itself? Think… What is the inverse operation of multiplication or Think… What is the opposite of multiplying by 4?

 4x = x = 8 Goal: Isolate the variable Question: How can I get the variable by itself? Think… What is the inverse operation of multiplication or Think… What is the opposite of multiplying by 4?

 10x = 150 How did you get your answer? Describe what you were thinking... What was difficult about that concept?

 10x = x = 15 How did you get your answer? Describe what you were thinking... What was difficult about that concept?

Goal: Isolate the variable Question: How can get the variable by itself? How did you get your answer? Describe what you were thinking... What was difficult about that concept?

Goal: Isolate the variable Question: How can get the variable by itself? How did you get your answer? Describe what you were thinking... What was difficult about that concept?

Goal: Isolate the variable Multiply both sides by 3 How did you get your answer? Describe what you were thinking... What was difficult about that concept?

 Can you solve one-step equations w/ multiplication and division????

 pg. 356 #3-6, 24, 26 Solve one-step equations w/ multiplication and division.

  Click on exit ticket

 A number multiplied by three is 27.  A number divided by eight is two.  A number tripled and increased by ten is 22.

 Adding and subtracting Integers  Multiplying and dividing Integers  Properties of Addition  Properties of Multiplication  Solving one-step equations

 Students will learn to… ◦ Solve 2-step equations.

 Discuss… ◦ What operations are involved in this problem? ◦ How many terms? ◦ In order of operations, what do we do first? Solve 2 step equations.

Goal: Isolate the variable Question: How can I get the variable by itself? Without guess and check, what steps are used to solve this equation? How is this process related to the order of operations? x = 4

 Order of Operations – backwards ◦ 1) Combine like terms ◦ 2) Undo addition or subtraction ◦ 3) Undo multiplication or division  Like terms: 3x = 22

 Simplify by combining like terms ◦ 5x (-9) = 8 ◦ 5x + 3 = 8  Undo addition or subtraction ◦ 5x + 3 = 8 ◦ - 3 = -3 ◦ 5x = 5  Undo multiplication or division ◦ 5x = 5 ◦ 5 5 ◦ x = 1

 Simplify by combining like terms ◦ 2x + x + 10 = 25 ◦ 3x + 10 = 25  Undo addition or subtraction ◦ 3x + 10 = 25 ◦ - 10 = -10 ◦ 3x = 15  Undo multiplication or division ◦ 3x = 15 ◦ 3 3 ◦ x = 5