Download presentation

Presentation is loading. Please wait.

Published byClementine Franklin Modified over 6 years ago

1
Solving Equations with Variable on Both Sides Objective: Students will solve equations with variables on both sides. Section 3.4

2
Examples to discuss: Don’t have to distribute or combine like terms!!! Solve each equation. Remember get the variable on the same side of the equation!!! 1. 7x + 19 = -2x + 552. 80 – 9y = 6y

3
Solve the following: First, combine your like terms, then complete the Do/Undo chart

4
Solve (do the distributive property and then combine like terms before you complete the DO/UNDO chart):

5
Now, lets solve an equation with variables on both sides 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. But, try to move the one that will keep your variable positive.

6
Solve 3x + 2 = 4x - 1 - 3x 2 = x - 1 + 1 + 1 3 = x 3(3) + 2 = 4(3) - 1 9 + 2 = 12 - 1 1.Draw a vertical line 2.Subtract 3x from both sides 3.Simplify 4.Add 1 to both sides 5.Simplify 6.Check your answer

7
More examples to discuss: You have to combine like terms 1st!!! Solve each equation. Remember to combine like terms 1 st !!! 1.3x – 10 + 4x = 5x – 7 2.–x + 6 – 5x = 14 – 2x

8
1.-3 2. -1/3 3.1/3 4.3 What is the value of x if 3 - 4x = 18 + x? Answer Now

9
What is the value of x if 3(x + 4) = 2(x - 1)? Answer Now 1.-14 2.-13 3.13 4.14

10
Special Case #1 2x + 5 = 2x - 3 -2x 5 = -3 This is never true! No solutions 1.Draw a vertical line 2.Subtract 2x from both sides 3.Simplify

11
Special Case #2 3(x + 1) - 5 = 3x - 2 3x + 3 – 5 = 3x - 2 3x - 2 = 3x – 2 -3x -3x -2 = -2 This is always true! Infinite solutions or identity 1.Draw a vertical line 2.Distribute 3.Combine like terms 4.Subtract 3x from both sides 5.Simplify

12
What is the value of x if -3 + 12x = 12x - 3? 1.0 2.4 3.No solutions 4.Infinite solutions Answer Now

13
Challenge! What is the value of x if -8(x + 1) + 3(x - 2) = -3x + 2? Answer Now 1.-8 2.-2 3.2 4.8

14
Try these examples: 1.15 – 2y = 3y 2.r – 2 + 3r = 6 + 5r 3.34 – 3x = 14x 4.1. 5y – 2 = y + 10 5.6x + 3 = 8 + 7x + 2x

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google