Solving Equations Using Addition and Subtraction.

Slides:



Advertisements
Similar presentations
Solving Equations by Adding or Subtracting Warm Up Lesson Presentation
Advertisements

Solving 2 Step Equations
Example 2 4 m 8 m 5m 12 m x y.
Solving Linear Equations
Solving One Step Equations using inverse operations. 2-2
ALGEBRA EQUATIONS ► Goals for solving equations – Isolate the variable, and use the inverse operations to undo the operation performed on the variable.
3.2 – Solving Equations Using Multiplication and Division.
Solving Equations by Adding or Subtracting Warm Up Lesson Presentation
An equation is a mathematical statement that two expressions are equal. A solution of an equation is a value of the variable that makes the equation true.
Warm Up  – Evaluate.  (0.29)
4. ; $22, $11, $10 5. C6. F7. B An equation is a mathematical statement that two expressions are equal. A solution of an equation is a value of the variable.
Lesson 1.1 Objective: To solve equations using addition, subtraction, multiplication, and division Are operations that undo each other such as addition.
Evaluating Algebraic Expressions 1-7 Solving Equations by Adding or Subtracting Preparation for AF4.0 Students solve simple linear equations and inequalities.
4. ; $22, $11, $10 5. C6. F7. B An equation is a mathematical statement that two expressions are equal. A solution of an equation is a value of the variable.
I can solve one-step equations in one variable.. Equations that have the same solutions. In order to solve a one-step equation, you can use the properties.
Algebra 1 Chapter 2 Section : Solving One-Step Equations An equation is a mathematical statement that two expressions are equal. A solution of an.
Reviewing One Step Equations.
2-1 Solving Equations by Adding or Subtracting Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation.
Solving Equations Using Addition or Subtraction Objective: Students will solve linear equations using addition and subtraction.
CONFIDENTIAL 1 Algebra I Solving Equations by Adding or Subtracting.
An equation is a mathematical statement that two expressions are equal. A solution of an equation is a value of the variable that makes the equation true.
Lesson 8.1. » A statement where two mathematical expressions are. » Think of an equation as a balance scale or teeter-totter. The left side must always.
Solving Equations by Adding or Subtracting Holt McDougal Algebra 1 Solving Equations by Adding, Subtracting, Multiplying and Dividing Warm Up Warm Up Lesson.
Holt McDougal Algebra Solving Equations by Adding or Subtracting Warm Up Evaluate. 1.   (0.29) Give the opposite of each number.
Write, Interpret and Use Mathematical Expression and Equations.
I’m thinking of a number between 1 and 10…. Can you guess my number? play again.
2.2 – Solving Equations Using Multiplication and Division
Solving Equations by 1-2 Adding or Subtracting Warm Up
Solving Equations by 1-2 Adding or Subtracting Warm Up
Solving Equations by 2-1 Adding or Subtracting Warm Up
2-1 – Solving Equations Using Addition and Subtraction
Solving Equations by 1-2 Adding or Subtracting Warm Up
Properties of Equality and Solving One-Step Equations
2-1 Solving 1 step equations
Chapter 2 Equations and Inequalities in One Variable
3.2 – Solving Equations Using Multiplication and Division
Solving Multi-Step Equations
November 3, 2014 Today is a B day, and you will be attending 1st period Flex (yes, again…) Copy the HW into your agenda: Solving equations worksheet Begin.
Solving One-Step Equations
Example 2 4 m 8 m 5m 12 m x y.
Solving Equations by 2-1 Adding or Subtracting Warm Up
Solving Multi-Step Equations
Solving Algebraic Equations
Example 2 4 m 8 m 5m 12 m x y.
Solving Multi-Step Equations
Solving Equations by 1-2 Adding or Subtracting Warm Up
EQ: How do I solve an equation in one variable?
1.3 Solving Linear Equations
Solving Two-Step Equations Lesson 2-2 Learning goal.
Solving Multi-Step Equations
1.  2.  (0.29) Give the opposite of each number. 
Solving Equations by Adding or Subtracting Warm Up Lesson Presentation
Lesson 1-2 Solving Equations by Adding or Subtracting Lesson 1-3 Solving Equations by Multiplying or Dividing Obj: The student will be able to 1) solve.
Solving Multi-Step Equations
Do Now 10/13/11 In your notebook, simplify the expressions below.
Solving Equations by 1-2 Adding or Subtracting Warm Up
Solving Multi-Step Equations
Solving Equations by 2-1 Adding or Subtracting Warm Up
      1 7.
Solving Equations by 1-2 Adding or Subtracting Warm Up
Lesson 1.1 Objective: To solve equations using addition, subtraction, multiplication, and division Vocab: Inverse operations: Are operations that undo.
10/3/11 In your notebook, answer completely the following:
Solving Equations by Adding or Subtracting Warm Up Lesson Presentation
Solving Equations by 2-1 Adding or Subtracting Warm Up
Purpose 2-1 Students will be able to solve one-step equations in one variable by using addition or subtraction.
Solving Equations by 1-2 Adding or Subtracting Warm Up
Solving Equations Using Multiplication and Division
Solving Equations by 2-1 Adding or Subtracting Warm Up
Solving Equations by 2-1 Adding or Subtracting Warm Up
Presentation transcript:

Solving Equations Using Addition and Subtraction

Cues Vocabulary Balance Inverse Operations Properties of Equality Addition Properties of Equality Subtraction Ex 1 Ex 2

Solving Equations Using Addition and Subtraction Goals: 1. I can solve one step linear equations using addition and subtraction. 2. I can use linear equations to solve real-life problems such as finding a record temperature.

Special Vocab (notebook please… Equation – a mathematical statement that two expressions are equal. A solution of an equation is a value of the variable that makes the equation true. To find solutions, we isolate the variable. A variable is isolated when it appears by itself (no coefficients) on one side of the equation.

Solving Equations Basics When transforming equations (isolating the variable) – they must remain balanced! Whatever you do to one side of the = sign, you MUST do to the other side!

Inverse Operations – are operations that undo each other, such as addition and subtraction. Inverse operations help you isolate the variable in an equation. * Do the opposite (inverse) to “undo” an equation!  If you are adding TO the variable – then subtract.  If subtracting FROM the variable – then add.  Sometimes you have to add the opposite……  If multiplying TO the variable, then divide!  If DIVIDING the variable by something, then multiply by the reciprocal!

Vocabulary Equivalent equations – Equal Equations. You can solve an equation by using transformations. When you rewrite an equation using transformations, you produce an equation with the same solution as the original equation. These equations are called equivalent equations.

Transformations that Produce Equivalent Equations Add the same number to each side. x – 3 = 5x = 8 Subtract the same number from each side. x + 6 = 10x = 4 Simplify one or both sides. x = 8 - 3x = 5 Interchange the sides. 7 = xx = 7 Add 3 Original Equation Equivalent Equation Subtract 6 Simplify Interchange

Properties of Equality Addition Property of Equality – You can add the same number to both sides of an equation, and the statement will still be true. Numbers Algebra 3 = 3a = b = a + c = b + c 5 = 5

Properties of Equality Subtraction Property of Equality – You can subtract the same number from both sides of an equation, and the statement will still be true. NumbersAlgebra 7 = 7a = b = a - c = b - c 2 = 2

Solution Steps Each time you apply a transformation to an equation, you are writing a solution step. Solution steps may be written one below each other with the equal sign aligned. Survival tip: SHOW your solution steps – it makes checking your work easier and your grade higher! This may not seem important now, but when have you much more complex equations, you will need that skill. (BTW – this is not optional).

Examples – Using addition to solve x – 9 = -17 Now try….. And check: x – 12 = = +9 x = -8 x – 9 = – 9 = = -17

Your turn n – 3.2 = = k - 6

Examples – Using subtraction to solve x + 12 = 15 Now try….. And check: -5 = k = -12 x = 3 x +12 = = = 15

Your turn

Adding the Opposite -8 + b = b = b = 2

Your turn

Examples – Simplifying First -9 = n – (-4) -9 = n = = n -9 = n – (-4) -9 = -13 – (-4) -9 = = -9

Your Turn -11 = n – (-2)

Real World Problem A person’s maximum heart rate, is the highest rate, in beats per minute that the person’s heart should reach. One way to estimate maximum heart rate states that your age added to your maximum heart rate is 220. Using this method, write and solve an equation to find the maximum heart rate of a 15 year old.