Chapter 4/Unit 2 Review.

Slides:

Advertisements

Similar presentations

Limits – Part 2 Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate…

Advertisements

EXAMPLE 3 Standardized Test Practice SOLUTION 8x 3 y 2x y 2 7x4y37x4y3 4y4y 56x 7 y 4 8xy 3 = Multiply numerators and denominators. 8 7 x x 6 y 3 y 8 x.

Section 6.2. Example 1: Simplify each Rational Exponent Step 1: Rewrite each radical in exponential form Step 2: Simplify using exponential properties.

Unit 5 : Indices and Surds

Algebra 1c 1-3 Exponential Notation Objective (things to learn): How to solve problems containing exponents. First we will start off with learning the.

Fractional Exponents and Radicals

Vocabulary 4 6 Base Exponent The exponent is sometimes referred to as the power.

Simplify each expression x 5 3x –2 3.(–2w –2 )(–3w 2 b –2 )(–5b –3 ) x 3 30 b 5 –

Do Now: Evaluate Multiplying Monomials Objectives SWBAT: 1) multiply monomials 2) Simplify expressions involving powers of monomials.

Example 3 Dividing Mixed Numbers ÷ – 3 19 = 17 6 – Multiply by the reciprocal of 17 6 – 6 – = 3 () 6 – 19 Use rule for multiplying fractions.

EXAMPLE 2 Rationalize denominators of fractions Simplify

Copyright © 2012 Pearson Education, Inc.

Chapter 9: Rational Expressions Section 9-1: Multiplying and Dividing Rationals 1.A Rational Expression is a ratio of two polynomial expressions. (fraction)

Aim: How do we work on the expression with fractional exponent? Do Now: Simplify: HW: p.297 # 20,26,32,44,48,50,54,64,66,68.

Unit 2 Mid Unit Test Review

Note that the denominator of the exponent becomes the index and the base becomes the radicand. Example Write an equivalent expression using radical.

11/18-19 Multiply Fractions & Decimals #42 LT: I will learn to multiply mixed numbers, fractions, and decimals. Today’s Plan: -Warm up & correct homework.

Evaluating Algebraic Expressions 4-3 Properties of Exponents California Standards NS2.3 Understand negative whole- number exponents. Multiply and divide.

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 4 Polynomials.

Chapter 4 Powers and Roots. Real Numbers Rational Review Natural Numbers Whole Numbers Integers Fractions Repeating or Terminating Decimals New Perfect.

Intro to Exponents Learn to evaluate expressions with exponents.

Multiplication of Exponential Expressions with the Same Base Evaluate each expression, and compare the results obtained in the first column with the corresponding.

Radicals Rational Exponents

Section 3Chapter 7. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Complex Fractions Simplify complex fractions by simplifying.

Exponent Quiz Review. Evaluate the expression 4 2  Answer: 16.

(x+2)(x-2).  Objective: Be able to solve equations involving rational expressions.  Strategy: Multiply by the common denominator.  NOTE: BE SURE TO.

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 1 Introduction to Algebraic Expressions.

Fractional Exponents. Careful! Calculate the following in your calculator: 2 ^ ( 1 ÷ 2 ) Not Exact.

4 minutes Warm-Up Simplify 1) 2) 3) 4).

The Order of Operations Chapter Evaluate inside grouping symbols ( ), { }, [ ], | |, √ (square root), ─ (fraction bar) 2.Evaluate exponents 3.Multiply.

Exponents Quiz Review. 1.What is the reciprocal of 3 −3 ? 1 = 1 for reciprocal, flip it! 27 =

Algebra 1 Mini-Lessons MA.912.A.4.1: Simplify monomials and monomial expressions using the laws of integral exponents.

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 4 Polynomials.

Minds On Unit 7: Exponential Functions The answer to a power is 9. What might the power be?

Slide 7- 1 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Chapter 1 Whole Numbers.

8-3: The Number ‘e’ (Day 1) Objective (Ca. Standard 12): Students know the laws of fractional exponents, understand exponential function, and use these.

Chapter 6 Review Powerpoint In pairs, use a dry erase board and take turns doing problem a and b.

DEFINING, REWRITING, AND EVALUATING RATIONAL EXPONENTS (1.1.1)

Chapter 1, Lesson 1A Pages 25-28

Pre-Algebra Chapter 5 Review

EXAMPLE 2 Rationalize denominators of fractions Simplify

MA.912.A.4.1 Simplify monomials and monomial expressions using the laws of integral exponents.

Operations with Rational (Fraction) Exponents

Imaginary & Complex Numbers

Warm Up Grab and complete the “Properties of Exponents WITH FRACTIONS!” worksheet from the front. Staple it to your warm up sheet. 10 minutes Circulate.

Warm Up 1.) List all of the perfect squares up to The first three are done below. 1, 4, 9,… Using a calculator, evaluate which expressions are.

The exponent is most often used in the power of monomials.

Bell Ringer Mrs. Rivas 1.

Learn to evaluate expressions with exponents.

Section 8-2: Multiplying and Dividing Rational Expressions

Equivalent ratios.

4 Rational Numbers: Positive and Negative Fractions.

Algebra 1 Quarter 3 Assessment Practice

Chapter 7 Section 3.

Chapter 7 Section 3.

Exponents and Radicals review: Chapter 1

The product of 3x5  2x4 is 6x20 6x9 5x20 5x9

Evaluating expressions and Properties of operations

Learn to evaluate expressions with exponents.

Evaluate when A.) 18 B.) 243 C.) 729 C.) 729 D.) 27 L F.

Simplify the expression: {image} Select the correct answer.

Exponents is repeated multiplication!!!

8.1 – 8.3 Review Exponents.

Chapter 8 Section 4.

Chapter 1 Part A Review Sections 1-1 to 1-4.

Simplify: (3xy4)(-2x2y2) x3y6 xy2 -6x3y6

Multiplying and Dividing Rational Expressions

#1 #3 #2 Chapter 1-1 Number Systems

Presentation transcript:

Chapter 4/Unit 2 Review

Simplify

Solution

Simplify

Solution

Compare using <, >, or =. Fill in

Solution > <

Exponents (continued)

Solution

Simplify the following fractions by factoring first!

Solution:

Write in exponential form:

Solution!

Simplify the following monomial:

Solution—note we factored first!

Evaluate (that means multiply!)

Solution

Simplify

Solution

Simplify

Solution

Simplify

Solution

Sort as irrational or rational:

Solution

Find the equivalent expression. b. c. d.

Find the equivalent expression. b. c. d.

Find all possible answers for (HINT: plug into ‘y’ and square!)

Find all possible answers:

Sort the numbers into rational vs. irrational numbers: Sort in the correct column: Rational Irrational

Sort the numbers into rational vs. irrational numbers: Sort in the correct column: Rational Irrational