9.6/9.7 Powers of Monomials and linear/nonlinear functions

Slides:

Advertisements

Similar presentations

Do Now Simplify the expression. Answers to Homework 1) :cubic polynomial of 4 terms 2) :6 th degree trinomial 3) :quartic monomial 4) :quintic binomial.

Advertisements

Linear and Nonlinear Functions Identifying functions on tables, graphs, and equations. April 27, 2015.

7.1 – Multiplying Monomials. x · x = x 1 · x 1 =

Write each expression in standard form. Then name each polynomial by its degree and number of terms. 1.(2x 4 + 3x – 4) + (–3x x 4 ) 2.(–3r + 4r 2.

Simplify each polynomial Adding and Subtracting Polynomials.

Anton/Busby Contemporary Linear AlgebraSection 1.1, Pg. 3.

Polynomials and Factoring Review By: Ms. Williams.

Chapter 4 Section 1 Essential Question How can we model relationships between quantities? Common Core State Standards: 8.F.4 Mathematical Practices: 1,

8-1 Adding and Subtracting Polynomials. Degree of a monomial: is the sum of the exponents of its variables. The degree of a nonzero constant is 0. Zero.

Chapter 1 - Fundamentals Inequalities. Rules for Inequalities Inequalities.

Comparing Functions and Identifying Linear and Non-linear Functions

12-6 Nonlinear Functions Course 2.

5.2 Dividing Monomials Objective: To simplify quotients of monomials and to find the GCF of several monomials. Warm – up: 1) Write the prime factorization.

Section 3.2 Linear Models: Building Linear Functions from Data.

Linear and Nonlinear Functions Identifying functions on tables, graphs, and equations.

8.1 adding and subtracting polynomials Day 1. Monomial “one term” Degree of a monomial: sum of the exponents of its variables. Zero has no degree. a.

Open your workbook to pg. 42 Rational Exponents Complete pg. 42 #1-6.

Common Core State Standards

Section 3.1 Basic Exponent Laws Objective:

Algebra Week of 4/11/11 Day 1.

Tuesday June 17: Laws of Exponents

Aim: How do we multiply polynomials?

Intro to Algebra Farris 2015

Do now Complete the table below given the domain {-1, 0, 1, 2} X

Bellwork 1) How do you know if something represents a function or not?

Chapter 5 Section 1.

13 Exponents and Polynomials.

Properties of Rational Exponents

13 Exponents and Polynomials.

Anton/Busby Contemporary Linear Algebra

Algebra 1 Review Factoring/Exponents

Percents and Proportions

Review /12 + 7/12 5 2/5 – 3 9/5 -9b/18 + 7b/18 -5/21w – 16/21w.

Multiplying Monomials and Raising Monomials to Powers

3.1 Review What’s used to show a decimal is repeating? Change the fraction 7/8 into a decimal using long division. Compare .75 ____ 1/4.

10.2 Real Numbers Objective: The objective is for the students to learn the difference between a rational and irrational number.

8.1 pt 2 Equations (Mult./Div.)

Exponents and Radicals

Review 23 x x /43 2x4 Identify what the 2 is.

Multiplying Monomials and Raising Monomials to Powers

Systems of Linear Equations

5 Exponents and Polynomials.

Review of Properties of Exponents from section 6.1

Powers of Monomials Chapter 4 Section 4.4.

SECTION 7-3 : MORE MULTIPLICATION PROPERTIES of EXPONENTS

8.5 Variables both side of equation

Review 3.2 Write as a fraction /3 Write decimal as a fraction or mixed fraction Identify as whole, integer, or rational -6 2/3 8 1/5 Simplify.

9.2 Factors and Prime Factorization

9.1 Powers and Exponents Objective: students will lear what powers are and how to write them. They will also apply order of operations and evaluate them.

ALGEBRA II HONORS/GIFTED - SECTION 6-1 (Roots and Radical Expressions)

Algebra Week of 4/4/11 Day 1.

Linear and Nonlinear Functions

7.1 solving linear systems by graphing

Algebra 2 Ch.7 Notes Page 49 P Rational Exponents.

10.1 add/subtract polynomials

Review Write the product of the sum and difference. (x + 3) (x – 3)

Review Find number of solutions using substitution or linear combinations. 2x – 6y = 5 3x – 9y = 2 Find number of solution using graphing. -2x + 5y =

Add/Subtract fractions same denominator

8.7 Solving Inequalities Objective: Students will solve one-step inequalities and graph them on the number line. Students will be able to describe what.

Warm-up: Simplify |2x – 4| + 3 Homework : pg. 23 (6, 8, 10, 16)

Review Use one of the 3 types of applications to solve the system

Review Is y = 3x a direct variation. If so, what’s the constant and what’s the slope? X and y vary directly. Write an equation that relates x and y. X.

Review 24 3x3x3x3x3x3 12 9x2yz.

7.2 Simplifying Expressions

Review Evaluate the expression 9-2 x 120

8.1 Multiplication properties of exponents

Algebra 1 Review Factoring/Exponents

6.2A Apply Properties of Rational Exponents

SECTION 7-4 : MORE MULTIPLICATION and DIVISION PROPERTIES of EXPONENTS

Presentation transcript:

9.6/9.7 Powers of Monomials and linear/nonlinear functions

Notes (7b2)3 = 73 (b2)3 Power of a power: (am)n = a m x n (97)2 = 9 14 Power of a product: (ab)m = ambm (7b2)3 = 73 (b2)3

Simplify (43)7 (34)9 (82)8 (5r7)2 (2y3)3 (5y4)2

Simplify (53)11 (34)7 (82)5 (3r7)3 (4y8)3 (10y8)2

Notes Linear function Constant rate Not constant rate Forms a straight line. Nonlinear Function Not constant rate Not a straight line.

Is the table/graph linear or not

Is the table/graph linear or not

Is the table/graph linear or not

Is the table/graph linear or not

Is the function linear or not Y = 2x – 1 Y = 3x Y = 8 Y = -2x2 Y = 1/3x 3x = y X = 2 Y = 1/3x2

Wrap up Questions/Comments Ic/hw: workbook pg. 125 workbook pg. 127