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Presentation on theme: "Splash Screen."— Presentation transcript:

1 Splash Screen

2 Lesson 1 KC1

3 Simplify Expressions with Multiplication
A. Simplify (–2a3b)(–5ab4). (–2a3b)(–5ab4) = (–2 ● a ● a ● a ● b) ● (–5 ● a ● b ● b ● b ● b) Definition of exponents = –2(–5) ● a ● a ● a ● a ● b ● b ● b ● b ● b Commutative Property = 10a4b5 Definition of exponents Answer: 10a4b5 Lesson 1 Ex1

4 Simplify Expressions with Multiplication
B. Simplify (3a5)(c–2)(–2a–4b3). (3a5)(c–2)(–2a–4b3) Definition of negative exponents Definition of exponents Lesson 1 Ex1

5 Simplify Expressions with Multiplication
Cancel out common factors. Definition of exponents and fractions Answer: Lesson 1 Ex1

6 A. Simplify (–3x2y)(5x3y5). A. –15x5y6 B. –15x6y5 C. 15x5y6 D. A B C D
Lesson 1 CYP1

7 B. Simplify (4x–2)(xy–3). A. B. C. D. A B C D Lesson 1 CYP1

8 Lesson 1 KC2

9 Lesson 1 KC3

10 Simplify Expressions with Division
Subtract exponents. Remember that a simplified expression cannot contain negative exponents. Answer: Lesson 1 Ex2

11 A. x10 B. x21 C. x4 D. A B C D Lesson 1 CYP2

12 Lesson 1 KC4

13 Simplify Expressions with Powers
A. Simplify (–3c2d5)3. (–3c2d5)3 = (–3)3(c2)3(d5)3 Power of a power = –27c6d15 Simplify. Answer: –27c6d15 Lesson 1 Ex3

14 Simplify Expressions with Powers
B. Power of a quotient Power of a product (–2)5 = –32 Answer: Lesson 1 Ex3

15 A. Simplify (x3)5. A. x15 B. x8 C. x2 D. A B C D Lesson 1 CYP3

16 B. Simplify A. B. C. D. A B C D Lesson 1 CYP3

17 Simplify Expressions Using Several Properties
Method 1 Raise the numerator and the denominator to the fifth power before simplifying. Lesson 1 Ex4

18 Simplify Expressions Using Several Properties
Answer: Lesson 1 Ex4

19 Simplify Expressions Using Several Properties
Method 2 Simplify the fraction before raising to the fifth power. Lesson 1 Ex4

20 Simplify Expressions Using Several Properties
Answer: Lesson 1 Ex4

21 A. B. C. D. A B C D Lesson 1 CYP4

22 ← number of red blood cells in sample
BIOLOGY There are about 5 × 106 red blood cells in one milliliter of blood. A certain blood sample contains 8.32 × 106 red blood cells. About how many milliliters of blood are in the sample? Divide the number of red blood cells in the sample by the number of red blood cells in 1 milliliter of blood. ← number of red blood cells in sample ← number of red blood cells in 1 milliliter Answer: There are about 1.66 milliliters of blood in the sample. Lesson 1 Ex5

23 BIOLOGY A petri dish started with 3. 6 × 105 germs in it
BIOLOGY A petri dish started with 3.6 × 105 germs in it. A half hour later, there are 7.2 × 107. How many times as great is the amount a half hour later? A. 2 B. 20 C. 2 × 102 D × 1013 A B C D Lesson 1 CYP5

24 End of Lesson 1

25 A. Simplify (2a3 + 5a – 7) – (a3 – 3a + 2).
Simplify Polynomials A. Simplify (2a3 + 5a – 7) – (a3 – 3a + 2). (2a3 + 5a – 7) – (a3 – 3a + 2) Distribute the –1. Group like terms. = a3 + 8a – 9 Combine like terms. Answer: a3 + 8a – 9 Lesson 2 Ex2

26 B. Simplify (4x2 – 9x + 3) + (–2x2 – 5x – 6).
Simplify Polynomials B. Simplify (4x2 – 9x + 3) + (–2x2 – 5x – 6). (4x2 – 9x + 3) + (–2x2 – 5x – 6) Remove parentheses. Group like terms. = 2x2 – 14x – 3 Combine like terms. Answer: 2x2 – 14x – 3 Lesson 2 Ex2

27 A. Simplify (3x2 + 2x – 3) – (4x2 + x – 5).
A. 7x2 + 3x – 8 B. –x2 + 3x – 8 C. –x2 + 3x + 2 D. –x2 + x + 2 A B C D Lesson 2 CYP2

28 B. Simplify (–3x2 – 4x + 1) – (4x2 + x – 5).
A. 9x2 + 6x + 7 B. –7x2 – 5x + 6 C. 3x2 – 6x + 7 D. 3x2 – 2x + 6 A B C D Lesson 2 CYP2

29 Simplify Using the Distributive Property
Find –y(4y2 + 2y – 3). –y(4y2 + 2y – 3) = –y(4y2) –y(2y) – y(–3) Distributive Property = –4y3 – 2y2 + 3y Multiply the monomials. Answer: –4y3 – 2y2 + 3y Lesson 2 Ex3

30 Find –x(2x3 – 2x + 5). A. –3x2 – 2x + 5 B. –4x4 – 3x2 – 6x
C. –3x4 + 2x2 – 5x D. –3x4 – 2x3 + 5x A B C D Lesson 2 CYP3

31 Distributive Property
Multiply Polynomials Find (a2 + 3a – 4)(a + 2). (a2 + 3a – 4)(a + 2) Distributive Property Distributive Property Multiply monomials. = a3 + 5a2 + 2a – 8 Combine like terms. Answer: a3 + 5a2 + 2a – 8 Lesson 2 Ex4

32 Animation: Multiply Polynomials
Find (x2 + 3x – 2)(x + 4). A. x3 + 7x2 + 10x – 8 B. x2 + 4x + 2 C. x3 + 3x2 – 2x + 8 D. x3 + 7x2 + 14x – 8 A B C D Animation: Multiply Polynomials Lesson 2 CYP4

33 End of Lesson 2


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