Solving Equations: Moving Variables

Solving Equations: Moving Variables
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In this warmup exercise, solve for x by moving variables to one side of the equation. Practice with any variable and improve your algebra skills.

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About Solving Equations: Moving Variables

PowerPoint presentation about 'Solving Equations: Moving Variables'. This presentation describes the topic on In this warmup exercise, solve for x by moving variables to one side of the equation. Practice with any variable and improve your algebra skills.. The key topics included in this slideshow are . Download this presentation absolutely free.

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1. Warmup

2. 1) Solve. 3x + 2 = 4x - 1 You need to get the variables on one side of the equation. It does not matter which variable you move. Try to move the one that will keep your variable positive.

3. Let’s see a few examples: 1) 6x - 3 = 2x + 13 -2x -2x 4x - 3 = 13 +3 +3 4x = 16 4 4 x = 4 Be sure to check your answer! 6(4) - 3 =? 2(4) + 13 24 - 3 =? 8 + 13 21 = 21

4. Let’s try another! 2) 3n + 1 = 7n - 5 -3n -3n 1 = 4n - 5 +5 +5 6 = 4n 4 4 Reduce! 3 = n 2 Check: 3(1.5) + 1 =? 7(1.5) - 5 4.5 + 1 =? 10.5 - 5 5.5 = 5.5

5. Two special cases: 24 + 6y - 3 = 4y - 12 + 2y 21 + 6y = 6y - 12 - 6y - 6y 21 = -12 Never true! 21 ≠ -12 NO SOLUTION! 3a + 3 - 5 = 3a - 2 3a - 2 = 3a - 2 -3a -3a -2 = -2 Always true! Many solutions or infinite solutions

6. Try a few on your own: • 9x + 7 = 3x - 5 • 8 - 2(y + 1) = -3y + 1 • 8 - 1 z = 1 z - 7 2 4