Lesson 6.2.4 Multi-Step Equations With Distributive Property

1 Lesson Multi-Step Equations With Distributive Property 1 | P a g e Teacher Lesson Plan Lesson : - Supplement Solving Multi-Step Equations CC Standards Solve Multi-Step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $ , for a new salary of $ If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.

2 Use variables to represent quantities in a real-world or mathematical problem, and construct simple Equations and inequalities to solve problems by reasoning about the quantities. a) Solve word problems leading to Equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve Equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? Objective The students will solve Multi-Step Equations that involve the Distributive Property and combining like terms.

3 Mathematical Practices #1 Make sense of problems and persevere in solving them. #5 Use appropriate tools strategically. #6 Attend to precision. #7 Look for and make use of structure. Teacher Input Bellwork: Review bellwork. Homework: Review important problems assigned the previous night. Introduction: Introduce as directed on the PowerPoint. Lesson : Teach as directed in the PowerPoint. Be sure to look at the notes on each slide for additional instruction and answers. Classwork Page 5 Homework Page 6 Extra Practice Page 7-10 Closure Summarize as directed on last 3 slides of PowerPoint.

4 Lesson Multi-Step Equations With Distributive Property 2 | P a g e Student Notes Remember These? (1) 3( +4) (2) 2 3+4 +8 (3) 4 3( +8) Steps for solving any Equation 1) Distribute if you can. 2) Combine the like terms. 3) Solve the simplified equation by undoing in reverse. 4) Check your answer. Examples of what Multi-Step Equations look like. Section 1: Multi-Step Equations w/Combining Like Terms Guided Practice #1 You Try #1 = = Lesson Multi-Step Equations With Distributive Property 3 | P a g e Section 2: Multi-Step Equations w/ Distributive Property Guided Practice #2 You Try #2 + ( + )= ( )+ = Guided Practice #3 You Try #3 ( ) = ( )= Section 3.

5 Multi-Step Equations w/Fractions and Decimals Guided Practice #4 You Try #4 ( + ) = ( + )= Lesson Multi-Step Equations With Distributive Property 4 | P a g e Guided Practice #5 You Try #5 . ( + )= . ( )= Always More than One Way Which steps can be used to solve for the value of y? 3( +5)=45 A divide both sides by 3, then subtract 5 from both sides B subtract 5 from both sides, then divide both sides by 3 C mulitply both sides by 3, then subtract 5 from both sides D subtract 3 from both sides, then subtract 5 from both sides Lesson Multi-Step Equations With Distributive Property 5 | P a g e Classwork Name_____ Date_____ Period_____ Solve each equation.

6 (1) 6 2 +11= 5 (2) 3( 2) = 18 (3) 3 3(6 2 )=27 (4) 3( 1)+2( +3)=13 (5) (3+ )= (6) 34( +512)=58 Step 1 Distribute Step 2 Combine like terms Step 3 Solve by undoing in reverse. Step 4 Check Lesson Multi-Step Equations With Distributive Property 6 | P a g e Homework Name_____ Date_____ Period: ____ Solve each equation. 1. 6 = 3(2 + 8) 2. 6 + 12 3 = 51 3. 2(3 + 4) = 35 4. 2(3 + 7) + = 70 5. 15 4( +3)=19 6. 2(3 1) + 2(4 +5)= 8 7. 59( +3) = 40 8.

7 ( + 2)= 2 Lesson Multi-Step Equations With Distributive Property 7 | P a g e Extra Practice Name_____ Date_____ Period: ____ Solve each equation. 1. 4( 3)=20 2. 6( + 5)=12 3. 3(2 7)=9 4. 6( 2) = 36 5. 7( + 8)= 14 6. (2 8) = 2 7. 3 + 2 + 4 =39 8. 4 + 3 + 5 = 47 9. 10 + 8 7 = 23 10. 3 + 2( 5) = 35 11. 6( 3) + 2 = 38 12. 8( 2) + 3 = 61 13. 4(5 2 ) + 3 = 7 14. 5 + 3( 4) = 60 15. 2( + 6) 10 = 12 Lesson Multi-Step Equations With Distributive Property 8 | P a g e Extra Practice Name_____ Date_____ Period: ____ Lesson Multi-Step Equations With Distributive Property 9 | P a g e Extra Practice Name_____ Date_____ Period.

8 ____ 1) +8( +2)=52 2) 2 +6( +3)=34 3) 4 +2( 2)=8 4) 9 +3( 6)=30 5) 6( +2) 4 =30 6) 4( +3) 2( +6)=20 7) 6( +2) 4 +6=36 8) 9( +3)+4 = 2 9) 4( +3) 2 =24 10) 4( +2) 9=11 11) 8( +2) 16=16 12) 5( +4) 6 +1=12 13) +3 +2 +3( +1)=30 14) 2 +4 +6 2( +3)=34 Lesson Multi-Step Equations With Distributive Property 10 | P a g e Extra Practice Name_____ Date_____ Period: ____ Lesson Multi-Step Equations With Distributive Property 11 | P a g e Lesson Multi-Step Equations With Distributive Property 12 | P a g e Student Notes Remember These?

9 (1) 3( +4) -3x-12 (2) 2 3+4 +8 2a+5 (3) 4 3( +8) -7a-24 Steps for solving any Equation 5) Distribute if you can. 6) Combine the like terms. 7) Solve the simplified equation by undoing in reverse. 8) Check your answer. Examples of what Multi-Step Equations look like. Section 1: Multi-Step Equations w/Combining Like Terms Guided Practice #1 You Try #1 = 8 = 6 Lesson Multi-Step Equations With Distributive Property 13 | P a g e Section 2: Multi-Step Equations w/ Distributive Property Guided Practice #2 You Try #2 + ( + )= 2 ( )+ = 1 Guided Practice #3 You Try #3 ( ) = 15 ( )= 9 Section 3.

10 Multi-Step Equations w/Fractions and Decimals Guided Practice #4 You Try #4 ( + ) = 38 ( + )= -7 Lesson Multi-Step Equations With Distributive Property 14 | P a g e Guided Practice #5 You Try #5 . ( + )= 10 . ( )= -47 Always More than One Way Which steps can be used to solve for the value of y? 3( +5)=45 A divide both sides by 3, then subtract 5 from both sides B subtract 5 from both sides, then divide both sides by 3 C mulitply both sides by 3, then subtract 5 from both sides D subtract 3 from both sides, then subtract 5 from both sides Lesson Multi-Step Equations With Distributive Property 15 | P a g e Classwork Name_____ Date_____ Period_____ Solve each equation.