1 / 10

Solving one- and two-step equations

Solving one- and two-step equations. Solving One-Step Equations using Additive Inverse. Steps. Equations. X + 4 = 9 -4 -4 x = 5 x – 7 = 5 +7 +7 x = 12.

donnelly-davis
Download Presentation

Solving one- and two-step equations

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. Solving one- and two-step equations

  2. Solving One-Step Equations using Additive Inverse Steps Equations X + 4 = 9 -4 -4 x = 5 x – 7 = 5 +7 +7 x = 12 • Given the equation x + 4 = 9 use the inverse of adding 4 to both sides of the equation to isolate the x. (In other words, subtract 4 from each side to get x by itself.) • Given the equation x – 7 = 5 use the inverse of subtracting 7 to both sides. (In other words, add 7 to both sides)

  3. Solving One-Step Equations using the Multiplicative Inverse Steps Equations 3x = 9 3x/3 = 9/3 x = 3 x /7 = 5 x/7(7) = 5(7) x = 35 • Given the equation 3x +4 = 9 use the inverse of multiplying 3 to both sides of the equation to isolate the x. (In other words, divide 3 from each side to get x by itself.) • Given the equation x /7 = 5 use the inverse of dividing by 7 to both sides. (In other words, multipy both sides by 7)

  4. Solving Two-Step Equations Steps Equations 7x + 5 = 26 -5 -5Step 1 7 x = 21 7x/7 = 21/7 Step 2 x = 3 Given the equation 7x + 5 = 26 • use the inverse of adding 5 to both sides of the equation to isolate the x. • Use the inverse of multiplying by 7 on both sides.

  5. Solving Two-Step Equations Steps Equations x/12 - 5 = -1 +5 +5Step 1 x/12 = 4 x/12(12) = 4(12) Step 2 x = 48 Given the equation x/12- 5 = -1 • use the inverse of subtracting 5 to both sides of the equation to isolate the x. • Use the inverse of dividing by 12 on both sides.

  6. Solving Equations with the variable on both sides Steps Equation 4x + 10 = 2x +20 -2x -2xStep 1 2x + 10 = 20 -10 -10 Step 2 2x = 10 2x/2 = 10/2 Step 3 X = 5 Given the equation 4x + 10 = 2x + 20 • Subtract 2x from both sides to get the terms with x on one side of the equation. • Subtract 10 from both sides to get numerical terms on the other side. • Divide both sides by 2.

  7. Checking your solution Steps Equation X + 4 = 9 -4 -4 x = 5 Check: X + 4 = 9 5 + 4 = 9 • You can check your solution by substituting the value back into your original equation.

  8. Checking your solution Steps Equation 7x + 5 = 26 -5 -5Step 1 7 x = 21 7x/7 = 21/7 Step 2 x = 3 Check: 7x + 5 = 26 7(3) + 5 = 26 • You can check your solution by substituting the value back into your original equation.

  9. Checking your solution Steps Equation 4x + 10 = 2x +20 -2x -2xStep 1 2x + 10 = 20 -10 -10 Step 2 2x = 10 2x/2 = 10/2 Step 3 X = 5 Check: 4x + 10 = 2x +20 4(5) + 10 = 2(5) + 20 20 + 10 = 10 + 20 30 = 30 • You can check your solution by substituting the value back into your original equation.

  10. Ticket out the Door What properties of addition and multiplication can I use to solve one and two step?

More Related