1 / 28

Chapter 4

Chapter 4. PreTest. Leave your answer in exponent form. 1. (3 6 )(3 4 ). 3 6 + 4. 3 10. Product Rule. Leave your answer in exponent form. 2 14. 2. 2 6. 2 14 – 6. 2 8. Quotient Rule. Leave your answer in exponent form. 3. (2 3 ) 5. 2 3 • 5. 2 15. Power Rules.

keahi
Download Presentation

Chapter 4

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. Chapter 4 PreTest

  2. Leave your answer in exponent form. 1.(36)(34) 36 + 4 310 Product Rule.

  3. Leave your answer in exponent form. 214 2. 26 214 – 6 28 Quotient Rule.

  4. Leave your answer in exponent form. 3.(23)5 23 • 5 215 Power Rules.

  5. Simplify. Use positive exponents. 4. ( x x3 ) 5 -2 )( y5 y3 x4 -10 y8 Multiply. Product Rule.

  6. Simplify. Use positive exponents. y4 -20 x7 5. 12 x12 y3 -5 y 3 x5 Simplify. Quotient Rules.

  7. Simplify. Use positive exponents. -3 ( ) 2 6. y5 x3 9 x6 y10 Evaluate. Power Rules.

  8. Simplify. Use positive exponents. ( )5 y2 x3 5 7. z5 3 55 x15 y10 35 z25 or x15 y10 3125 243 z25 Power Rules. Evaluate.

  9. Simplify. Use positive exponents. 15 x5 y10 8. y10 x12 10 3 2 x7 Simplify. Quotient Rules.

  10. Simplify. Use positive exponents. 9. 3-3 1 27 1 33 Negative exponents. Evaluate.

  11. Simplify. Use positive exponents. z 10. 7 x-3 y-4 z 7 x3 y4 Negative exponents.

  12. Simplify. Use positive exponents. 3 y-2 x-3 11. z-5 3 z5 x3 y2 Negative exponents.

  13. 12. Write in scientific notation. 104,000,000 104000000 . 1.04 x 108 Count the number of places to move. Positive 8 is the exponent.

  14. 13. Write in decimal notation. 1.9 x 10-3 19 000 . 0.0019 The exponent is negative 3. Move the decimal point left 3 places.

  15. 14. Multiply and write in scientific notation: ) ) ( 6.4 ( x 3.8 x 103 106 24.32 x 109 Multiply the numbers. Use the product rule.

  16. 14. Multiply and write in scientific notation: ) ) ( 6.4 ( x 3.8 x 103 106 24.32 x 109 x 109 2.432 x 101 x 2.432 1010 Write in scientific notation. Use the product rule.

  17. 15. Add. (4x2 – 5x + 2) + (6x2– 7x – 5) – 7x + 2 – 5 4x2 + 6x2 – 5x – 3 10x2 – 12x Remove both parentheses. Distribute + 1 to each term in the second parentheses. Combine like terms.

  18. 16. Subtract. – 3 ( 4x2 – + 5x ) (2x2– x + 3) – x + 3 – 4x2 + 3 – 5x 2x2 -2x2 – 6x + 6 Remove both parentheses. Distribute –1 to each term in the second parentheses. Combine like terms.

  19. 17. Multiply. ( -3 x3 x3 + 2 x2 ) – 5 3 x6 – 6 x5 -9 + 15 x3 Distribute.

  20. 18. Multiply. ( y4 x2 y2 ) -3 + 5 x2 – 6 x y3 5 + 18 x4 x3 -15 y5 y6 – 15 x2 y2 Distribute.

  21. 19. Multiply. Outer First 4x )( + 2y Last Inner ( – y 6x ) – 2y2 – 6xy 24x2 + 8xy 24x2 + 2xy – 2y2 Use FOIL to multiply. Combine like terms.

  22. 20. Multiply. 4x + 5 ( ) 4x – 5 )( (5)2 – (4x)2 16x2– 25 Special Case (a + b)(a – b) = a2 – b2 Square the first term. Subtract the square of the second term.

  23. 21. Multiply. ( 2x – 3y )2 – (2x)2 + (-3y)2 2(2x)(3y) + 9y2 4x2 – 12xy Special Case (a – b)2 = a2 – 2ab + b2 Square the first term. Subtract 2 times the first and second terms. Add the square of the second term.

  24. 22. Multiply. 2x )( – 4y3 Last Inner ( +5y2 2x4 ) Outer First – 20y5 + 10x4y2 4x5 – 8xy3 Use FOIL to multiply. No like terms.

  25. 23. Multiply. 3x – 4 ( )( ) x2 – 2x +5 – 20 + 15x – 4x2 + 8x 3x3 – 6x2 + 23x 3x3 – 20 – 10x2 Multiply each term. Combine.

  26. 24. Divide. (16x4 – 24x3 – 4x2) ÷ 4x2 x3 x2 16 24 4 x4 – – 4 4 4 x2 x2 x2 x2 – 6 x 4 – 1 Write as separate fractions. Simplify each.

  27. 25. Divide. (3x3 – 13x2 + 27x – 20) ÷ (3x – 4) x2 – 3x + 5 – 13x2 + 27x – 4 3x3 3x – 20 ) – 4x2 –( ) 3x3 -9x2 15x 3x3 + 27x -9x2 3x 3x 3x + 12x –( ) -9x2 Write as long division. 15x – 20 Divide first terms. – 20 –( ) 15x Multiply. Subtract. x2 – 3x + 5 Bring down next term.

  28. Chapter 4 Pretest

More Related