1 / 18

Pre-Algebra

Learn to solve equations with rational numbers. 3-6. Solving Equations with Rational Numbers. Pre-Algebra. Remember!. =. – 4.6. =. 4.4. – 4.6. m. 3-6. Solving Equations with Rational Numbers.

jstella
Télécharger la présentation

Pre-Algebra

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. Learn to solve equations with rational numbers. 3-6 Solving Equations with Rational Numbers Pre-Algebra

  2. Remember! = – 4.6 = 4.4 –4.6 m 3-6 Solving Equations with Rational Numbers Once you have solved an equation it is a good idea to check your answer. To check your answer, substitute your answer for the variable in the original equation. Pre-Algebra Example 1A: Solving Equations with Decimals. Solve. m + 4.6 = 9 A. m + 4.6 = 9 Subtract 4.6 from both sides.

  3. p –32.8 8.2 8.2p 8.2 = –4 3-6 Solving Equations with Rational Numbers = Pre-Algebra Examples 1B: Solving Equations with Decimals Solve. 8.2p = –32.8 B. Divide both sides by 8.2

  4. x 1.2 3-6 Solving Equations with Rational Numbers = 1.2 •15 1.2 • Pre-Algebra Examples 1C: Solving Equations with Decimals Solve. x 1.2 C. = 15 Multiply both sides by 1.2 x = 18

  5. 27 5 7 2 7 2 7 3 7 27 3-6 Solving Equations with Rational Numbers n – + = – – n = – Subtract from both sides. Pre-Algebra Examples 2A: Solving Equations with Fractions Solve. 3 7 2 7 A. n + = –

  6. 1 6 5 6 4 6 1 6 1 6 1 6 2 3 1 6 3-6 Solving Equations with Rational Numbers y y = – + + y = + = Add to both sides. Pre-Algebra Examples 2B: Solving Equations with Fractions Solve. 1 6 2 3 B. y – = Find a common denominator; 6. Simplify.

  7. 3 4 5 8 6 5 6 5 5 6 6 5 3-6 Solving Equations with Rational Numbers Multiply both sides by . = x = • x • Pre-Algebra Examples 2C: Solving Equations with Fractions Solve. 5 8 5 6 C. x = 3 4 Simplify.

  8. –9.1 = 13.8 75.9 5.5 –9.1 –6.1 = m 5.55.5 b = 3-6 Solving Equations with Rational Numbers b = Pre-Algebra Try This: Example 1A & 1B Solve. A. m + 9.1 = 3 m + 9.1 = 3 Subtract 9.1 from both sides. B. 5.5b = 75.9 Divide both sides by 5.5

  9. y 4.5 3-6 Solving Equations with Rational Numbers = 4.5 •90 4.5 • Pre-Algebra Try This: Examples 1C Solve. y 4.5 = 90 C. Multiply both sides by 4.5 y = 405

  10. 19 2 3 1 9 6 9 1 9 5 9 19 3-6 Solving Equations with Rational Numbers n – + = – – Simplify – . n = – Subtract from both sides. Pre-Algebra Try This: Example 2A Solve. 5 9 1 9 A. n + = –

  11. 1 2 3 4 1 2 1 4 2 4 1 2 3 4 1 2 3-6 Solving Equations with Rational Numbers y y = 1 – + + y = + = Add to both sides. Pre-Algebra Try This: Example 2B Solve. 1 2 3 4 B. – = y Find a common denominator; 4. Simplify.

  12. 16 19 6 19 6 19 8 3 8 3 3 8 3 8 8 3 3-6 Solving Equations with Rational Numbers x x Multiply both sides by . = = • = • x Pre-Algebra Try This: Examples 2C Solve. 6 19 3 8 x C. = 2 1 Simplify.

  13. 3 4 1 2 Mr. McHenry wants to prepare a casserole that requires 2 cups of milk. If he makes the casserole, he will have only cup of milk left for his breakfast cereal. How much milk does Mr. McHenry have? 5 2 3 4 2(2)+1 2 3-6 1 2 5 2 Solving Equations with Rational Numbers = = 2 Pre-Algebra Examples 3: Solving Word Problems Using Equations Convert fractions: Write an equation: Milk for cereal Original amount of milk Milk for casserole – = – = c

  14. 5 2 3 4 5 2 5 2 10 4 1 4 1 4 3 4 5 2 13 4 3-6 Solving Equations with Rational Numbers Add to both sides. c – He has 3 cups of milk. c , or 3 = c + + = + = Pre-Algebra Examples 3 Continued Now solve the equation. 5 2 3 4 c = – Find a common denominator, 4. Simplify.

  15. 31 2 2 3 2 3 15(2)+1 31 3-6 1 Solving Equations with Rational Numbers 15.5 = 15 = = Sam’s car holds the amount of gasoline as his wife’s van. If the car’s gas tank can hold 15.5 gallons of gasoline, how much gasoline can the tank in the minivan hold? 2 2 2 Pre-Algebra Try This: Examples 3 Convert decimal to a fraction: Write an equation: Capacity of car’s tank Van’s gas tank Ratio of car’s tank to van’s tank • = g • =

  16. 3 2 93 4 1 4 3 2 1 4 3 2 2 3 31 2 3-6 Solving Equations with Rational Numbers Multiply both sides by . g = g The van’s gas tank holds 23 gallons of gasoline. = • • • g = 23 Pre-Algebra Try This: Examples 3 Continued Now solve the equation. 31 2 2 3 g = • Simplify.

  17. y 4.5 3-6 Solving Equations with Rational Numbers = 4.5 •90 4.5 • Pre-Algebra Try This Together: Examples 1C Solve. y 4.5 = 90 C. Multiply both sides by 4.5 y = 405

  18. 19 2 3 1 9 6 9 1 9 5 9 19 3-6 Solving Equations with Rational Numbers n – + = – – Simplify – . n = – Subtract from both sides. Pre-Algebra Try This Together: Example 2A Solve. 5 9 1 9 A. n + = –

More Related