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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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Splash Screen Chapter 10 Lesson 10-5
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?
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
A.B. C.D. (over Lesson 10-4) • A • B • C • D
Multiply monomials. • monomial
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.
52 5 = 53 32 34 = 36 12 141518 = 119 Here’s your 1st math challenge of the day: 32 3335 36 = 316 6 4 3 4 2 3 5 2 7 2 7 3 5 3 5 2 7 = =
So let’s analyze what’s happening. 52+1= 52 51 = When you multiply monomials that have the same base: 52 12 141518 = 119 12+4+ 5 + 8= 12 141518 = 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 = =
22 3 = 63 32 44 = 126 12 243548 = 2419 Here’s your 2nd math challenge of the day: 32 5375 86 = 84016 6 4 3 4 2 2 15 6 7 3 7 1 5 2 3 2 7 = =
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 2435 48 = 2419 242+4+ 5 + 8= 12 2435 48 = You multiply the bases and add the exponents. 2 + 4 6 2 15 2 15 4 2 1 5 2 3 = =
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.
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
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
Multiply Powers Find 76 ● 72. Express using exponents. The common base is 7. Add the exponents. Check
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= 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.
Find 25 ● 24. Express using exponents. • A • B • C • D A. 21 B. 25 C. 29 D. 220
Find 3x2(–5x5). Express using exponents. • A • B • C • D A. 3x7 B. –15x3 C. –15x5 D. –15x7
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