We ll start today by learning how to change a repeating decimal into a fraction! Then we will do a review of Unit 1 - half of Unit 3!

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1 Welcome to math! We ll start today by learning how to change a repeating decimal into a fraction! Then we will do a review of Unit 1 - half of Unit 3! So grab a seat where you can focus, and get ready for a whirlwind of math! Whee! Also if you are done with Unit 4 Test Corrections, you can turn them in today. They are due tomorrow.

2 Turn a Repeating Decimal into a Fraction Set the repeating decimal equal to x 2. Above that, but 10x, 100x, 1000x whatever it takes to line up the repeating decimal with itself 3. Subtract and solve

3 Announcements Test corrections are due tomorrow! Don t forget you can ask me for signatures today We are spending today and tomorrow doing a Unit 1-5 Review; no school on Friday! We will begin Unit 6 on Monday Monday 11/13 - Parallel and Perpendicular Lines Tuesday 11/14 - City Map Project Wednesday 11/15 - Encore! Field Trip if we have class time we will work on the project Thursday 11/16 - Scatterplots and Trend Lines Friday 11/17 - Absolute Value Graphs Monday 11/20 - Review Tuesday 11/21 - Unit 6 Test Wednesday 11/23 - Thanksgiving Break!! So your Flashback Fridays...

4 Unit 1-5 Review Day 1

5 So what have we learned so far? Unit 1 Estimating square roots, the Real Number System, order of operations, properties of real numbers Unit 2 Properties of equalities, solving equations (multistep and variables on both sides), literal equations Unit 3 Graphing inequalities, solving inequalities, compound inequalities, absolute value equations and inequalities, unions and intersections of sets Unit 4 Functions (graphing, table, equation, mapping), arithmetic sequences Unit 5 Slope, direct variation, slope intercept form, point slope form Whew! We ve covered a lot of ground!

6 Unit 1 Estimating square roots, the Real Number System, order of operations, properties of real numbers

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10 A student says that 7 is a rational number because you can write 7 as 7 Is the student correct? Explain. 1

11 We should also be able to understand, use, and estimate cube roots 8 = -8 = 64 = 81 =

12 Use order of operations 2[(8-4) 5 8] 2[8+( ) 3 ] 9 10-(2 3 +4) 3-1

13 Properties Commutative Property Associative Property Identity Property for Addition or Multiplication Inverse Property for Addition or Multiplication Distributive Property Zero Product Property

14 Unit 2 Properties of equalities, solving equations (multistep and variables on both sides), literal equations

15 Properties Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality

16 When solving an equation for a variable, use reverse order of operations 7x + (2 x + 4)6 = 39 2(5x-1)=3(x+11)

17 Solution Types One solution Infinitely many solutions No solution

18 1. List the properties used for each step of the problem showed below: -3m -12 -(-m) = -18-3m m = -18-2m - 12 = -18-2m = -6 m = 3 2. What is the difference between an expression and an equation?

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22 Steps to Solving an Equation Word Problem 1. Read the question carefully and make sure to understand what they are asking. 2. Define the variable. 3. Write out the equation. 4. Simplify the equation if needed. 5. Solve for the variable. 6. Plug in and check. 7. Don t forget your units.

23 Equation Word Problem Example 1 Scott wants to buy a new video game for $60. He decides to get the money he will offer to cut neighbors grass for $12 a yard. How many yards will he need to cut in order to have enough money to buy the video game? Define the variable: Write the equation: Solve:

24 Equations Word Problem Example 2 Chad goes to the candy store and wants to get a bar of chocolate and some saltwater taffy. The bar of chocolate is $2.20 and the saltwater taffy is 3 for a dollar. How much saltwater taffy can Chad get with 10 dollars? Define the variable: Write the equation: Solve:

25 Equation Word Problem Example 3 The sum of three consecutive integers is 24. Find the three integers. Define the variable: Write the equation: Solve:

26 Equation Word Problem Example 4 The sum of three consecutive odd integers is 45. Find the three integers. Define the variable: Write the equation: Solve:

27 Literal Equations Word Problems There are also word problems that require you to solve literal equations with several variables. Ex. 1: The formula that describes an object s motion is given by S=ut+½ at², where S is the distance traveled, u is the initial velocity, a is the acceleration, and t is the time. Which equation represents a in terms of the other variables?

28 Literal Equation Word Problem Example 2 Cindy has 500 feet of fencing around a rectangular pen that has a width of a feet and length of b feet. This is represented by the equation 2(a+b)=500. Cindy plans to change the width of the pen and wants to solve for b to see how the new length will be affected. Write a new equation for b in terms of a.

29 Unit 3 Graphing inequalities, solving inequalities, compound inequalities, absolute value equations and inequalities, unions and intersections of sets

30 Know how to graph an inequality X > 2-4 < y ½ > p

31 Solve Inequalities Addition Property of Inequality Subtraction Property of Inequality Multiplication Property of Inequality Division Property of Inequality

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33 Homework Chose 10 old study guide questions (Unit 1- part of Unit 3) and complete them. Challenge yourself - try to pick things that you think you need help with!!!