# Solving Equations with Addition and Subtraction Mrs. Over and Mrs. Farah.

## Presentation on theme: "Solving Equations with Addition and Subtraction Mrs. Over and Mrs. Farah."— Presentation transcript:

Solving Equations with Addition and Subtraction Mrs. Over and Mrs. Farah

Schedule  Do Everything Twice?  Amelia’s Lunch Amelia’s Lunch  Maintaining Equality, Part 1 Maintaining Equality, Part 1  The Addition Property of Equality The Addition Property of Equality  Maintaining Equality, Part 2 Maintaining Equality, Part 2  The Subtraction Property of Equality The Subtraction Property of Equality  The Main Idea The Main Idea  Problem of the Day Problem of the Day  Procedures and Solutions Procedures and Solutions  Steps to Solving Equations with Addition and Subtraction Steps to Solving Equations with Addition and Subtraction  Assignment Assignment ContinueContinue | School Lunch MenuSchool Lunch Menu

Continue Continue | ScheduleSchedule Burrito\$1.10 Chicken Nuggets\$0.75 Fruit\$0.35 Chips\$0.60 Milk\$0.90 Water\$1.00 Cookie\$0.25 Mini Candy\$0.05

Amelia’s Lunch \$3 ___+___+___+___+___ This equation states that the quantities (3) and (___+___+___+___+___) are equal which means they are the same. Schedule Schedule | School Lunch MenuSchool Lunch Menu =

Maintaining Equality, Part 1 \$3.50 = ___+___+___+___+___

The Addition Property of Equality You can ___ the same number to both sides of an equation, and the statement will still be true. add Schedule Schedule | School Lunch MenuSchool Lunch Menu

The Addition Property of Equality 3 = 3 3 + = 3 + = 22 55 a = b a + = b + cc Schedule Schedule | School Lunch MenuSchool Lunch Menu

Maintaining Equality, Part 2 \$2 = ___+___+___+___+___

The Subtraction Property of Equality You can _______ the same number from both sides of an equation, and the statement will still be true. subtract Schedule Schedule | School Lunch MenuSchool Lunch Menu

The Subtraction Property of Equality 7 = 7 7 - = 7 - = 44 33 a = b a - = b - cc Schedule Schedule | School Lunch MenuSchool Lunch Menu

The Main Idea Whatever you do to one side of the equation, you have to do to the other side. Do everything twice! Schedule Schedule | School Lunch MenuSchool Lunch Menu

Problem of the Day Amelia buys chicken nuggets, chips, fruit, milk, and ice cream. If her lunch costs \$3.00, how much does the ice cream cost? Schedule Schedule | School Lunch MenuSchool Lunch Menu

Procedures and Solutions Selected students lead a discussion of how to solve the Problem of the Day. Schedule Schedule | School Lunch MenuSchool Lunch Menu

Steps to Solving Equations with Addition and Subtraction 1. Simplify each side of the equation by distributing to remove parentheses and combining like terms. 2. Isolate the variable by performing inverse operations. Use the Addition and Subtraction Properties. Do everything twice! 3. Simplify each side of the equation again by combining like terms. 4. Check your answer by substituting the result into the original equation. Schedule Schedule | School Lunch MenuSchool Lunch Menu

Assignment  Page 80:  Odd problems 21 to 47  Page 81  Problems 58 and 61 Schedule Schedule | School Lunch MenuSchool Lunch Menu

Recall from pre-algebra… The additive inverse of a number is… …what you add to it to get zero. Schedule