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Splash Screen. Chapter 10. Lesson 10- 5. A. B. C. y = 2 x 3 – 2 D. y = x 3 – 2. (over Lesson 10-4). A B C D. Which equation could represent the graph shown here?. A. y = 3 x + 5 B. C. D . 2 x 2 + 3 y = 5. (over Lesson 10-1).

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  1. Splash Screen Chapter 10 Lesson 10-5

  2. A. B. C.y = 2x3 – 2 D.y =x3– 2 (over Lesson 10-4) • A • B • C • D Which equation could represent the graph shown here?

  3. A.y = 3x + 5 B. C. D.2x2+ 3y = 5 (over Lesson 10-1) Which of the following equations represents a nonlinear function? • A • B • C • D

  4. A.B. C.D. (over Lesson 10-4) • A • B • C • D

  5. Multiply monomials. • monomial

  6. Standard 7NS2.3Multiply, divide, and simplify rational numbers by using exponent rules. Standard 7AF2.1Interpret positive whole-number powers as repeated multiplication and negative whole-number powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents. Standard 7AF2.2Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results in a monomial with an integer exponent.

  7. 52 5 = 53 32 34 = 36 12 141518 = 119 Here’s your 1st math challenge of the day: 32 3335 36 = 316 6 4 3 4 2 3 5 2 7 2 7 3 5 3 5 2 7 = =  

  8. So let’s analyze what’s happening. 52+1= 52 51 = When you multiply monomials that have the same base: 52 12 141518 = 119 12+4+ 5 + 8= 12 141518 = 119 12+4+ 5 + 8= You keep the base and add the exponents. 2 + 4 6 3 5 3 5 2 4 3 5 3 5 = = 

  9. 22 3 = 63 32 44 = 126 12 243548 = 2419 Here’s your 2nd math challenge of the day: 32 5375 86 = 84016 6 4 3 4 2 2 15 6 7 3 7 1 5 2 3 2 7 = =  

  10. So let’s analyze what’s happening. 62+1= 22 3 = 63 When you multiply monomials that have a different base: 2419 242+4+ 5 + 8= 12 2435 48 = 2419 242+4+ 5 + 8= 12 2435 48 = You multiply the bases and add the exponents. 2 + 4 6 2 15 2 15 4 2 1 5 2 3 = = 

  11. Remember when we learned how to do these: Remember this and apply it to your 3rd challenge of this lesson! 3x -5y + x + 3y + 7 - 4y - 15 4x -6y -8 We simply combine like terms.

  12. 2x2 3x = 6x3 3x-2 4x-4 = 12-6 2a2b4 3a3 = 6a5b4 Here’s your 3rdmath challenge of the day: 4x5y-3 5x-2y-6 = 20x3y-9 3y-5 4y = 12y-4 x-6 5x9 = 5x3

  13. So let’s analyze what’s happening. 4x5y-3 5x-2y-6 = Add the exponents for the like terms. Multiply the bases 1st. 4  5 x5 + -2 y-3 -6= 20 x3 y-9

  14. Multiply Powers Find 76 ● 72. Express using exponents. The common base is 7. Add the exponents. Check

  15. Multiply Powers Find 7x2(11x4). Express using exponents. Commutative and Associative Properties The common base is x. Add the exponents.

  16. = 4–5 or Add the exponents. Multiply Negative Powers Find 4–8 ● 43. Express using positive exponents. 4–8● 43= 4–8 + 3The common base is 4.

  17. Find 25 ● 24. Express using exponents. • A • B • C • D A. 21 B. 25 C. 29 D. 220

  18. Find 3x2(–5x5). Express using exponents. • A • B • C • D A. 3x7 B. –15x3 C. –15x5 D. –15x7

  19. A. B. C.83 D.811 Find 87 • 8–4. Express using exponents. • A • B • C • D

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