1 / 14

Mastering Addition and Subtraction to Solve Equations

This lesson focuses on using addition and subtraction to solve equations effectively. You will learn to isolate variables and apply the addition and subtraction properties of equality. Essential skills include justifying each step taken in solving equations and checking your solutions with a graphing calculator. Examples will guide you through practical problems, emphasizing the importance of maintaining equality when performing operations on both sides of an equation. Get ready to reinforce your problem-solving skills in mathematics!

shada
Télécharger la présentation

Mastering Addition and Subtraction to Solve 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 Equations Using Addition and Subtraction (3.1) • A.4f Apply these skills to solve practical problems. • A.4b Justify steps used in solving equations. • Use a graphing calculator to check your solutions. Objectives:

  2. To Solve an Equation means... • To isolate _______________________ _________________________________ • Ex: x = 5 is solved for _____. • y = 2x - 1 is solved for _____.

  3. Addition Property of Equality For any numbers a, b, and c,____________________________ What it means: You can add any number to _______ ______of an equation and the equation will still hold true.

  4. An easy example: We all know that 7 = 7. Does 7 + 4 = 7? _________ But 7 _______ = 7 _______. The equation is still true if we add 4 to ________ _________.

  5. Let’s try another example! x - 6 = 10 Always check your solution!!

  6. What if we see y + (-4) = 9? Recall that y+(-4)=9 is the same as ___________. Check your solution!

  7. How about -16 + z = 7? Remember to always use the sign in front of the number. 16 is negative, so we need to add 16 to both sides. Check you solution!

  8. A trick question... -n - 10 = 5 +10 +10 -n = 15 • Do we want -n? _____________________________ • If the opposite of n is positive 15, then n must be negative 15. • Solution: _____________ Check your solution!

  9. Subtraction Property of Equality • For any numbers a, b, and c, ________________________ What it means: • You can subtract any number from ________ _______of an equation and the equation will still hold true.

  10. 3 Examples: 1) x + 3 = 17 2) 13 + y = 20 3) z - (-5) = -13

  11. Solve x + 2 = -3To get the variable by itself, what is your first step? • Add 2 to both sides • Subtract 2 from both sides • Add 3 to both sides • Subtract 3 from both sides

  12. Solve 8 = m - 3 • m = 5 • m = 11 • m = 24 • m = 8/3

  13. Solve -y – (-3) = 7 • y = 10 • y = 4 • y = -10 • y = -4

  14. Try these on your own...

More Related