Solving Addition Equations

Slides:



Advertisements
Similar presentations
7.8 Equations Involving Radicals. Solving Equations Involving Radicals :  1. the term with a variable in the radicand on one side of the sign.  2. Raise.
Advertisements

Solve an equation using subtraction EXAMPLE 1 Solve x + 7 = 4. x + 7 = 4x + 7 = 4 Write original equation. x + 7 – 7 = 4 – 7 Use subtraction property of.
Absolute Value Equalities and Inequalities Absolute value: The distance from zero on the number line. Example: The absolute value of 7, written as |7|,
3-2 Solving Equations by Using Addition and Subtraction Objective: Students will be able to solve equations by using addition and subtraction.
Solving Equations by Adding or Subtracting Objective: Solve equations using the addition and subtraction properties of equalities.
Substitution Method: 1. Solve the following system of equations by substitution. Step 1 is already completed. Step 2:Substitute x+3 into 2 nd equation.
The Equation Game. Why is an equation like a balance scale? 3 2x - 1 =
4.2 Solving Inequalities using ADD or SUB. 4.2 – Solving Inequalities Goals / “I can…”  Use addition to solve inequalities  Use subtraction to solve.
SECTION 3.1 Solving Equations Using Addition and Subtraction.
Solving by Elimination Example 1: STEP 2: Look for opposite terms. STEP 1: Write both equations in Standard Form to line up like variables. STEP 5: Solve.
ON YOUR DESK COPY THE AGENDA DO PROBLEMS 7 (PG 1) AND 44 (PG 11) IN OAA NOTEBOOK GET NOTES OUT.
Solving Equations When do we use solving equations? We use solving equations methods when we know what the problem equals but not what the variable is.
Solve an equation using addition EXAMPLE 2 Solve x – 12 = 3. Horizontal format Vertical format x– 12 = 3 Write original equation. x – 12 = 3 Add 12 to.
Example 1 Solving Two-Step Equations SOLUTION a. 12x2x + 5 = Write original equation. 112x2x + – = 15 – Subtract 1 from each side. (Subtraction property.
Solving Linear Equations Substitution. Find the common solution for the system y = 3x + 1 y = x + 5 There are 4 steps to this process Step 1:Substitute.
Algebra Review: Solving Quadratic Equations by Factoring.
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Section 2.1 The Addition Principle of Equality.
Solve Equations with Rational Coefficients. 1.2x = 36 Check your answer = x Check 1.2x = (30) = 36 ? 36 = 36 ? 120 = -0.24y
© by S-Squared, Inc. All Rights Reserved.
Solving Addition and Subtraction Equations Lesson 6-2 Page 225.
ONE STEP EQUATIONS Multiplication and Division ONE STEP EQUATIONS Example 1 Solve 3x = 12 Variable? x 3x = 12 x x 3 ÷ 3 Inverse operation? Operation?
Solving Addition and Subtraction Equations Lesson 2.3 and 2.4.
Textbook page 66 IAN page 87. Each side of the equation must be balanced. We balance an equation by doing the same thing to both sides of the equal sign.
Solving Equations By Adding or Subtracting. Key Terms Inverse Operations: –You can use inverse operations to solve equations. –“Undo” each other by performing.
Solving Equations Performing inverse operations on both sides (Involves backtracking)
6-2 SOLVING LINEAR SYSTEMS BY SUBSTITUTION Goal: Use substitution to solve a linear system Eligible Content: A / A
11.3 Solving Radical Equations Definitions & Rules Simplifying Radicals Practice Problems.
SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION PRACTICE PROBLEMS.
Equations With Fractions Lesson 4-6. Remember the Process: Isolate the variable Perform the inverse operation on the side with the variable. Perform the.
Solving Addition and Subtraction Equations An equation is a mathematical sentence that contains an equal sign.
Textbook pages 69 & 73 IAN pages 91 & 95. Each side of the equation must be balanced. We balance an equation by doing the same thing to both sides of.
Balancing Equations The student will be able to: solve equations using addition and subtraction.
Solving Addition and Subtraction Equations
Solve Systems of Equations by Elimination
Stand Quietly.
Solving 2 Step Equations.
Solve for variable 3x = 6 7x = -21
Solve an equation by multiplying by a reciprocal
Equations With Fractions
One-Step Equations with Subtraction
Lesson Objectives: I will be able to …
Solving Equations by Factoring and Problem Solving
Objective The student will be able to:
Solve a system of linear equation in two variables
Solving Algebraic Equations
Solving Two-Step Equations
What is an equation? An equation is a mathematical statement that two expressions are equal. For example, = 7 is an equation. Note: An equation.
2 Understanding Variables and Solving Equations.
Objective The student will be able to:
Solving One and Two Step Equations
6-2 Solving Linear Systems by substitution
Solving One Step Equations
Solving Equations f(x) = g(x)
Solving 1-Step Integer Equations
ONE STEP EQUATIONS Addition and Subtraction
Solving Equations with Variables on Both Sides
Solving Equations with Variables on Both Sides
Solving Division Equations
Key Points (3-1) Add or Subtract to Solve Equations Introduction
Solving Logarithmic Equations
Objective The student will be able to:
Solving Systems of Equations by Elimination Part 2
Learn to solve equations with integers.
How do I solve one-step equations
Bellwork x – 2(x + 10) = 12.
One-Step Equations with Addition and Subtraction
Objective The student will be able to:
Solve equations using addition and subtraction.
1. How do I Solve Linear Equations
Definition of logarithm
Presentation transcript:

Solving Addition Equations Textbook page 62 IAN page 83

Solving Addition Equations Each side of the equation must be balanced. We balance an equation by doing the same thing to both sides of the equal sign.

Solving Addition Equations Example 1 Solving Addition Equations Solve each equation. Check your answers. (A) x + 62 = 93 Do the opposite - 62 - 62 Do the same thing to both sides of the equation. x = 31 31 + 62 = 93 To check your work, substitute in the value of x.

Solving Addition Equations Example 1 Solving Addition Equations Solve each equation. Check your answers. (B) 8.1 = 1.7 + y Do the opposite Do the same thing to both sides of the equation. - 1.7 - 1.7 6.4 = y 8.1 = 1.7 + 6.4 To check your work, substitute in the value of y.

Solving Addition Equations Example 2 Word Problem: Social Studies Dyersburg, Newton, and St. Thomas are located along Ventura Highway, as shown on the map. Find the distance d between Newton and Dyersburg. 25 = 6 + d -6 -6 19 = d

Solving Addition Equations Practice Problems 1. x + 54 = 90 2. 49 = 12 + y 3. n + 2.7 = 4.6 x = 36 y = 37 n = 1.9 4. 2.2 + t = 9.1 5. 31 = p + 13 6. c + 38 = 54 t = 6.9 p = 18 c = 16

Solving Addition Equations Practice Problems Lou, Michael, and Georgette live on Mulberry Street, as shown on the map. Lou lives 10 blocks from Georgette. Georgette lives 4 blocks from Michael. How many blocks does Michael live from Lou? 10 = 4 + b -4 -4 6 blocks