1 / 13

A.4f Apply these skills to solve practical problems.

Solving Equations Using Multiplication and Division. Objectives :. 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. Remember, To Solve an Equation means.

sanaa
Download Presentation

A.4f Apply these skills to solve practical problems.

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 Multiplication and Division Objectives: • 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.

  2. Remember, To Solve an Equation means... • To isolate the variable on one side of the equation. • Ex: x = 5 is solved for x. • y = 2x - 1 is solved for y.

  3. Multiplication Property of Equality • For any numbers a, b, and c, if a = b, then ac= bc. What it means: You can multiply BOTH sides of an equation by any number and the equation will still hold true.

  4. An easy example: • Would you ever put deodorant under just one arm? • Would you ever put nail polish on just one hand? • Would you ever wear just one sock? We all know that 3 = 3. Does 3(4) = 3? NO! But 3(4) = 3(4). The equation is still true if we multiply both sides by 4.

  5. Let’s try another example! • Always check your solution!! • The original problem is x = 4 2 • Using the solution x = 8, Does 8/2 = 4? • YES! 4 = 4 and our solution is correct. x = 4 2 Multiply each side by 2. (2)x = 4(2) 2 x = 8

  6. Division Property of Equality For any numbers a, b, and c (c≠0), if a = b, then a/c= b/c What it means: • You can divide BOTH sides of an equation by any number, except zero, and the equation will still hold true. • Why did we add c ≠ 0?

  7. 2 Examples: 1) 4x = 24 Divide both sides by 4. 4x = 24 4 4 x = 6 • Does 4(6) = 24? YES! 2) -6y = 18 Divide both sides by -6. -6y = 18 -6 -6 y = -3 • Does -6(-3) = 18? YES!

  8. A fraction times a variable: The two step method: Ex: 2x = 4 3 1. Multiply by 3. (3)2x = 4(3) 3 2x = 12 2. Divide by 2. 2x = 12 2 2 x = 6 The one step method: Ex: 2x = 4 3 1. Multiply by the reciprocal. 32x = 4 3 2 3 2 x = 6

  9. Answer Now Solve -3v = -129 • v = -126 • v = -43 • v = 43 • v = 126

  10. Answer Now Which step clears the fraction in • Multiply by 3 • Multiply by 5 • Multiply by -12 • Multiply by -5

  11. Answer Now Solve • b = -56 • b = -14 • b = 14 • b = 56

  12. Try these on your own...

  13. The answers...

More Related