1 / 11

Two-Step Equations: Solving Secrets Unveiled

Learn to solve two-step equations by working backwards and mastering opposite operations. Practice with examples and a DO-UNDO chart. Enhance your math skills with this interactive guide.

myrtlen
Download Presentation

Two-Step Equations: Solving Secrets Unveiled

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. ObjectiveThe student will be able to: solve two-step equations. SOL: A.4bdf Designed by Skip Tyler, Varina High School

  2. To solve two-step equations, undo the operations by working backwards. • Recall the order of operations as you answer these questions. • Dividing by 2 • Subtracting 3 Example: Ask yourself, • What is the first thing we are doing to x? • What is the second thing? To undo these steps, do the opposite operations in opposite order.

  3. Use a DO-UNDO chart as a shortcut to answering the questions. In the table, write the opposite operations in the opposite order DO UNDO ÷2 -3 Follow the steps in the ‘undo’ column to isolate the variable. • Draw “the river” • Add 3 to both sides • Simplify • Clear the fraction -Multiply both sides by 2 • Simplify • Check your answer +3 · 2 + 3 + 3 = - 4 x = -8 -4 – 3 = -7 2 · · 2

  4. D U · 2 - 1 + 1 ÷ 2 1) Solve 2x - 1 = -3 + 1 + 1 2x = -2 2 2 x = -1 2(-1) - 1 = -3 -2 – 1 = -3 • Draw “the river” • Add 1 to both sides • Simplify • Divide both sides by 2 • Simplify • Check your answer

  5. D U ÷ 3 - 4 + 4 · 3 2) Solve + 4 + 4 3 · · 3 x = 36 12 – 4 = 8 • Draw “the river” • Add 4 to both sides • Simplify • Clear the fraction -Multiply both sides by 3 • Simplify • Check your answer

  6. Answer Now 3) Solve 3y – 1 = 8 • y = 3 • y = -3 • y = • y =

  7. D U - 4 ÷ 2 · 2 + 4 • Draw “the river” • Clear the fraction - Multiply both sides by 2 • Simplify • Add 4 to both sides • Simplify • Check your answer 3) Solve d – 4 = 6 + 4 + 4 d = 10

  8. Answer Now 4) Solve • d = -7 • d = -19 • d = -17 • d = 17

  9. D U ÷ -7 + 3 - 3 · -7 Do/Undo Chart – This one is tricky! Remember to always use the sign in front of the number. -3 -3 a = 35 5) Solve • Draw “the river” • Subtract 3 from both sides • Simplify • Clear the fraction – Multiply both sides by -7 • Simplify • Check your answer

  10. Answer Now 6) Solve 5z + 16 = 51 • z = -35 • z = -7 • z = 35 • z = 7

  11. D U · 3 ÷ 5 + 1 - 1 · 5 ÷ 3 7) Solve - 1 - 1 5 · · 5 3x = 15 3 3 x = 5 • Draw “the river” • Subtract 1 from both sides • Simplify • Clear the fraction -Multiply both sides by 5 • Simplify • Divide both sides by 3 • Simplify • Check your answer

More Related