# Splash Screen.

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Splash Screen

Lesson 1 KC1

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

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

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

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

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

Lesson 1 KC2

Lesson 1 KC3

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

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

Lesson 1 KC4

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

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

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

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

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

Simplify Expressions Using Several Properties

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

Simplify Expressions Using Several Properties

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

← 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

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

End of Lesson 1

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

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

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

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

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

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

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

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

End of Lesson 2