Name: Period: - Unit 2: Solving Equations. o One and two step equations: o Multi-step equations : o Multi-Step equations with fractions: /20

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1 Targets 2.1: Students will be able to review one and two step equations 2.2: Students will be able to solve equations that require more than two steps. 2.3: Students will be able to solve equations that require more than two steps, with fractions Review Equations EMT Sample Questions Student unit Tracking Chart: Mastery MQ Pass Quiz Parent Date/Score Initial Questions or Misconception (EC) Assignment Due Date: NA NA A Day: Aug 30 Sept. 3 MQ Date: A Day: Sept 4 Sept 5 Quiz Score: /10 A Day: Sept. 4 Sept 5 NA NA A Day: Sept 6 Sept 9 NA NA A Day: Sept. 10 Sept 11 EMT Date: NA A Day: Sept. 10 Sept. 11 Name: Period: - Unit 2: Solving Equations o One and two step equations: o Multi-step equations : /20 /20 o Multi-Step equations with fractions: /20 o Vocabulary: o Self-Starters: o Parent s initials on MQ: /20 /20 /05 o One time: YES NO /05 - Due Dates: o A Day: September 10,2013 o September 11,2013 *Unit 2: Tracking Chart on back. Total: /110 Recall that MQ are graded as following. 10/10 passed first attempted 9/10 Passed before EMT Date 7/10 Passed after EMT Date 0/10 has not passed quiz Passing means they have shown an 80% mastery level on the concept.

2 Page 2 Self- Starters: 1. Write problem 2. Show Work 3. Box/Circle Answer A Day: August 30/ September 3 Page 11 Multi-Step with Fractions Solve each problem by clearing the denominator, and check answers x 2 x 2 2 x x x 1 20 A Day: September 4/ September x x x 2 x

3 Page 10 Multi-Step with Fractions/Clearing Fractions Page 3 Self -Starters Multiply each of the following by the denominator of the fraction to get rid of the fraction. Then solve and check. 1 1 Example 1: Example 2: 1 1 x x x x x x x x x 3 3 Solve each problem by clearing the denominator x 5 4 A Day: September 6/ September x a 3 a A Day: September 10/ September 11 What do you think we need to multiple by this time to clear all denominators? Don t solve just clear the denominators a 3 a 6. 1 x a 3 a c 1 3 c

4 Page 4 Vocabulary Page 9 Multi-Step Equations Steps to Solve Equations 1. Simplify each, if necessary. a. Use the distributive property. b. Combine terms. 2. Add or on both sides of the equation to isolate the x term. 3. Multiply or both sides to solve for x. 4. Check your answer! the value of x into the original and solve. 9. 3x 4x m 2 3m x g Model Word Like Terms 13. 7x 3 x x 4( 2x 3) 12 Examples Non-Examples Like Terms: are terms that have the same variables and powers. The coefficients do not need to match m 2 3m s 4s 6 6 4s 6 2s Distributive Property: To multiply a sum or difference by a number, multiply each term inside the parentheses by the number outside the parentheses.

5 Page 8: Review like terms and Distribute Property Draw a model to simplify and solve each problem. You can draw bags and coins. 1. EX: 3x 4x 3 groups of size x plus 4 groups of size x = 7x Page 5 Vocabulary An Expression is a mathematical phrase that combines numbers and/or variables using mathematical operations. 2. 4y 3x 7y Model Word 3. 4x 4 2x m 2s 5s 3m 2 Expression x = 2 groups of size (x+3)= 2x + 6 Examples Non-Examples m 3 Equation a sentence stating that two quantities are equal 7. 3s 5 Model Word 8. How many solutions do the following equations have: One, None, or Infinity. Support your answer. 14 k 4 13 k 7 a. b. 5x 4 5x 4 Examples Equation Non-Examples c. 2 f 3 2 f 4

6 Page 6 One and Two Step Equations Page 7 One and Two Step Equations Check the following answers to determine if they are correct. If they are incorrect, solve the equation, show your work, and circle your answer. 1. b - (-8) = x=-75 b = 31 x=-5 Draw a model to represent each two step equations and use your model to solve the problem. 1. 2x k 1 9 d x 5 25 d = -12 x= 5 Solve each problem. 3. x m 6 2 For each story problem write an equation and solve. Make sure to show your reasoning. 5. The company has large and small ink cartridges in stock. How many ink cartridges can you buy with 150 dollars if one cartridge costs 15 dollars? m x There were 7 red roses and 4 white roses in the vase. Sandy cut some more roses from her flower garden. There are now 17 red roses in the vase. How many red roses did she cut? Solve each problem, using any method you want (i.e. models, algebra). Make sure to CHECK YOUR ANSWERS!! x 8. 6x

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