Solving Equations with Variables

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Presentation transcript:

Solving Equations with Variables on Both Sides

4. Four times a number plus two is the same as a negative 14. Solve each equation. Click the box to reveal the answer. 1. x + 8 = -3 x = -11 2. 2p -5 = -11 p = -3 3. 36 = 6 - 5n n = -6 Reviewing  is a good  idea! Translate and solve. 4. Four times a number plus two is the same  as a negative 14. x = -4

Solving Equations with Variables on Both Sides Go to  Example 1 Record the following steps in your notebook. We will refer to these steps throughout the lesson. Go to  Example 2 Pull Distribute, if necessary. Step 1 Step 2 Step 3 Step 4 Step 5 Go to  Example 3 Practice Pull Combine like terms on the same side, if necessary. Video: Real  World Problem HOMEWORK Pull Move your variables to the same side using opposite operations. Pull Move your constants to the same side using opposite operations. Pull Solve for your variable.

6x + 3 + 2x = 5x + 12 8x + 3 = 5x + 12 3(2x + 1) + 2x = 5x + 12 Solving Equations with Variables on Both Sides Watch me on this first one? Example #1: 3(2x + 1) + 2x = 5x + 12 6x + 3 + 2x = 5x + 12 8x + 3 = 5x + 12 8x - 5x + 3 = 5x - 5x + 12 3x + 3 = 12 3x + 3 - 3 = 12 - 3 3x = 9 x = 3 3(2x + 1) + 2x = 5x + 12 pull Erase the box to reveal the steps. Distribute Pull Combine like terms Move variables together. Simplify Move constants together Simplify Press for example 2 Back to steps. Solve Teacher Notes Teacher Notes: Drag the arrows together to see the problem worked out. You may choose  to work out the problem after revealing each step instead of dragging the arrows together.

Solving Equations with Variables on Both Sides Let's Do this Together Example #2: 19x+8-8x = 4(5x+2)+36 19x+8-8x = 4(5x+2) + 36 Answer hidden here! Bring the magnifying glass over. Press for example 3 Back to steps. x = -4

Solving Equations with Variables on Both Sides Try this one by yourself. Example #3: 4(2p-8)-6p = 20+4(p+6) Work this problem in the blue box. Move the problem to the gray box to reveal the solution. 4(2p-8)-6p = 20+4(p+6) 8p-32-6p = 20+4p+24 2p - 32= 4p+ 44 2p-4p-32 = 4p-4p+44 -2p-32 = 44 -2p-32+32=44+32 -2p=76 (divide) p = -38 Did You  Get It  Right? yes no Back to steps. More Practice

Solving Equations with Variables on Both Sides Homework Practice. Solve each problem and show the work that justifies each answer. 1. 4(3x - 10) = 10(x - 3) 2. 7x + 5 - 2x = 3x - 17 3. ½(6x + 8) + 3x = 5x + 25 Teacher Notes Answers: 1. x = 5 2. x = -11 3. x = 21 4. x = -6 4. 15x = 10x - 30 Back to steps.

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Solving Equations with Variables on Both Sides Real World Application: Watch the video to see a real world example of solving  equations with variables on both sides. click here to watch video Teacher Notes Teacher Notes: You may stop the video after the problem is presented to  allow the students to work it out Back to steps. Homework

Textbook Work: page 312, 1 and 2 page 313, 1-8 page 314, 11 page 315, 17-22

Roll the number cube to create a new equation to solve. Practice with a Partner Back to steps. Video Homework

Attachments real world application.wpl