Objective- To find the opposite of a sum or difference.

Slides:



Advertisements
Similar presentations
Fractions-Simplifying 9 15 = 5 Factors are 1, 3, 9 Factors are 1, 3, 5,15 3 HCF, So 9÷3= HCF, So 15÷3=
Advertisements

10-5 Addition and Subtraction: Unlike Denominators  Standard 13.0: Add and subtract rational expressions.
Adding and Subtracting Fractions with Like Denominators.
We will use addition or subtraction to solve problems involving fractions and mixed numbers. I will subtract a problem involving fractions and mixed numbers.
1 Adding & Subtracting Fractions and Mixed Numbers MATH.
By: Rachel &Haylee. Vocabulary Fraction Equivalent Fractions Simplest Form Least Common Multiple Mixed Numbers Improper Fractions Review Equivalent Fractions.
Algebraic Fractions and Forming Equations Learning Outcomes  Simplify algebraic fractions  Add, subtract, multiply and divide algebraic fractions  Solve.
Aim: How do we solve equations with fractional or negative exponents?
Writing Terminating Decimals as Fractions
Warm Up #1 #2 Add. #3 List the steps you used to solve questions #1 & #2.
+ 1 Whole Step 1: Add the fractions. Regroup, if needed. 1 1 Step 2: Add the whole numbers. Step 3: Use the GCF to simplify,
Solve the equation -3v = -21 Multiply or Divide? 1.
Essential Question: Why is dividing the same as multiplying by the reciprocal of that number?
Warm ups. Find the sum or difference SOLVING RATIONAL EXPRESSIONS AND REVIEW Objective: To review adding, subtracting, and solving rational expressions.
Dividing Polynomials Chapter – – 15y 4 – 27y 3 – 21y 2 3y – 27 3 – 21 3 y 2 y Divide. y 4 y 2 y 2 y 3 y 2 y 2 Write as separate fractions.
1 Whole - LCD: Whole.
Subtracting Mixed Numbers
Rational Expressions – Sum & Difference 1 When fractions already have a common denominator, keep the denominator the same and add / subtract your numerators.
Find each difference. Adding and Subtracting Integers COURSE 2 LESSON 1-7 b. –7 – 2 a. 5 – (–3) 5 – (–3) = 5 + (3)Add the opposite of –3, which is 3. =
Find the sum or difference. Then simplify if possible.
Algebraic Fractions Using 4 rules. In this Powerpoint, we will look at examples of simplifying Algebraic Fractions using the 4 rules of fractions. To.
Add & Subtract Rationals – Common Denominator To add or subtract rational expressions with common denominators: 1) Add or subtract the numerators 2) Write.
Addition and Subtraction of Fractions
4.8 – Solving Equations with Fractions
Solve two-step equations. 3.4 Objective The student will be able to:
EXAMPLE 3 Add expressions with different denominators Find the sum 5 12x 3 9 8x28x x28x2 += 9 3x 8x 2 3x x 3 2 Rewrite fractions using LCD,
3-6 Adding and Subtracting Unlike Fractions. Add Unlike Fractions Unlike fractions are fractions with different denominators. Key Concept: Adding Unlike.
= Step 2: The denominator remains the same. Step 3: Simplify the sum,
Addition and Subtraction: Unlike Denominators  Mr. Peter Richard Is the Common Denominator needed in order to learn this Lesson!
Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video.
Same Signs Different Signs 1) =+7 Objective- To solve problems involving operations with integers. Combining.
Unit 4 Review!. 1. Write the expression Sum of 9 and z.
2.3 Adding and Subtracting Fractions. How do I add/subtract fractions?
4-6 Solving Equations with Fractions What You’ll Learn ► To solve one – step equations ► To solve two – equations.
Solving One and Two Step Equations What is a one – step equation? Examples: 1)3x = 21 2)a/5 = 10 3)5 + b = 12 4)x – 10 = 15 5)6t = 36.
EXPONENTS – PART I Tuesday April 14, 2015.
Solving Equations involving Fractions
My Equations Booklet.
Subtracting Real Numbers
Do Now Solve (-51) = (-47) = = 12 + (-42) =
Algebraic Fractions Using 4 rules.
6.4 Adding and Subtracting Mixed Numbers
A QUICK REVIEW OF ALGEBRA
Fractions Subtracting Like Denominators
6.4 Adding and Subtracting Mixed Numbers
Simplify Expressions 34 A number divided by 3 is 7. n ÷ 3 = 7.
2-Digit Subtraction.
Fractions: Subtracting Like Denominators
Objective The student will be able to:
Objective- To find the opposite of a sum or difference.
Objective - To find the opposite of a sum or difference.
Add and Subtract Mixed Numbers
1 Introduction to Algebra: Integers.
QQ1 1. Simplify: -2(x + 3) 2. Simplify: 3[(5 + 72) – 20] = -2x - 6
Must Do (8/29) – (-7) 8 – 12 (-7) + (-4)
Objective - To add and subtract decimals.
Who Wants to be an Equationaire?. Who Wants to be an Equationaire?
Algebraic Fractions Using 4 rules.
Solving Equations involving Fractions
Adding and Subtracting Integers
Quest for Understanding
subtracting fractions with like denominators
Example: Mark thinks of an number He subtracts 3 His answer is 12 What was the number he thought of? The unknown quantity is the number he started with.
Unit 2. Day 16..
Divisibility Rules.
Adding and subtracting fractions
Unit 2. Day 17..
Fractions VII Subtracting Like Denominators
Adding and Subtracting Mixed Numbers
Algebra with Fractions 2
Presentation transcript:

Objective- To find the opposite of a sum or difference. - ( a + b ) = - a + - b or - a - b - ( a - b ) = - a + b

Simplify. 1) - ( 2x + 5 ) 2) - ( 4a - 7) - 2x - 5 - 4a + 7 3) a (a - 3) - ( 3a - a - 2) 2 2 a - 3a - 3a + a + 2 2 -2a - 2a + 2 4) 4 (x + 5) - (x - 2) - 3 ( x + 1) 4x + 20 - x + 2 - 3x - 3 19

Solve. 13 x - 3( 2 + 4x) = 25 13x - 6 - 12x = 25 + 6 +6 x = 31 + 6 +6 x = 31

Solve. 3( x + 2 ) - ( 5x - 4 ) = - 1 3x + 6 - 5x + 4 = - 1 - 10 -10 - 10 -10 -2x = -11 -2 -2 x = =

Very important when subtracting fractions. Most Missed Problem! 4x 2x + 1 - 5 10 8x 2x + 1 - 10 10 8x - ( 2x + 1 ) 10 8x - 2x - 1 6x - 1 = 10 10

Simplify. - - = 3y 6y - 2 4 3 9y 4 (6y - 2) 12 12 9y - 4 ( 6y -2 ) 12

Simplify. - - = x - y - 5(x + 2y) 8 6 -20(x + 2y) 3 (x - y) 24 24