Solving Equations: a strategy The mathematics behind solving equations is basic. The hardest part: What do I do first?…

Slides:

Advertisements

Similar presentations

Topic: EQUATIONS Simple Equations Fractional Equations.

Advertisements

Solving Equations (Multiplication & Division) Grade Seven & Eight Mathematics M. M. Couturier.

Solving Equations with the Variable on Both Sides Objectives: to solve equations with the variable on both sides.

Solving Systems of three equations with three variables Using substitution or elimination.

Solving Multiplication and Division Equations Lesson 2-7.

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.

Lesson 2-4. Many equations contain variables on each side. To solve these equations, FIRST use addition and subtraction to write an equivalent equation.

MFM1P Learning Goals: I can solve equations when there are variables on both sides. Lesson 3: Solving Equations Part 3.

Unit 3: Modeling using Equations Minds On. Unit 3: Modeling using Equations Solving Polynomial Equations (2) Learning Goal I can solve equations.

A radical equation is an equation that contains a radical.

3x – 5y = 11 x = 3y + 1 Do Now. Homework Solutions 2)2x – 2y = – 6 y = – 2x 2x – 2(– 2x) = – 6 2x + 4x = – 6 6x = – 6 x = – 1y = – 2x y = – 2(– 1) y =

Warm-Up Warm-Up I will be coming around checking your homework while you are working on your warm-up 1)2(-4 + k) = 24 2)37 = 4x – 6x ) ½(14x – 22)

Solving Linear Equations MATH 017 Intermediate Algebra S. Rook.

Solving Linear Equations To Solve an Equation means... To isolate the variable having a coefficient of 1 on one side of the equation. Examples x = 5.

11-9 Rational Equations and Functions Algebra 1 Glencoe McGraw-HillLinda Stamper.

Variables on Both Sides. Visual 5x + 6 = 3x + 12.

Equations – Success if you can do these 3x = 64x + 2 = 3x + 7 x/4 = 25x – 3 = 7 + 3x x + 3 = 173(x + 2) = 12 x – 4 = 134(x + 5) = 32 3x + 4 = 253(2x –

Rational Equations Section 8-6.

5.3: Solving Addition Equations Goal #1: Solving Addition Problems Goal #2: Writing Addition Equations.

Solving Multi-step Equations by Combining Like Terms and with Variables on Both Sides.

Linear Equations  Know your rules for solving equations  If fractions, multiply through by LCD  Distribute values to parentheses  What you do on one.

Solving Multi-step Equations by Combining Like Terms and with Variables on Both Sides.

MTH Algebra THE ADDITION PROPERTY OF EQUALITY CHAPTER 2 SECTION 2.

3-1 & 3-2 Solving Multi-Step Equations (p. 119 & p. 126) Algebra 1 Prentice Hall, 2007.

Multi-Step Equations We must simplify each expression on the equal sign to look like a one, two, three step equation.

Solving Inequalities Just like with equations, the solution to an inequality is a value that makes the inequality true. You can solve inequalities in.

Chapter 6 Section 6 Solving Rational Equations. A rational equation is one that contains one or more rational (fractional) expressions. Solving Rational.

Solving Rational Equations

Solving Multi-Step Equations Just remember to follow the steps 1.Distribute if you can 2.Collect all like terms to simplify 3.Get rid of the friend 4.Get.

Solving Equations Using Addition and Subtraction A.4f Apply these skills to solve practical problems. A.4b Justify steps used in solving equations. Objectives.

Section 3.2 Solving Equations using Multiplication and Division.

MTH Algebra SOLVING LINEAR EQUATIONS WITH A VARIABLE ON ONLY ONE SIDE OF THE EQUATIONS CHAPTER 2 SECTION 4.

Solving Equations Containing First, we will look at solving these problems algebraically. Here is an example that we will do together using two different.

Solving Addition and Subtraction Equations Lesson 2.3 and 2.4.

ANSWER is 25% of what number ANSWER 40% 4.What percent of 90 is 36? ANSWER d = 4 ANSWER x = Solve:

3.3 Solving Equations Using Addition or Subtraction.

Warm up. Absolute Value Function 7.5 This is a new function, with its own equation and graph.

2.4 – Solving Equations with the Variable on Each Side.

* Collect the like terms 1. 2a = 2a x -2x + 9 = 6x z – – 5z = 2z - 6.

What is an Equation  An equation is an expression with an ‘equal’ sign and another expression.  EXAMPLE:  x + 5 = 4  2x – 6 = 13  There is a Left.

Equations With Fractions Lesson 4-6. Remember the Process: Isolate the variable Perform the inverse operation on the side with the variable. Perform the.

Lesson 1.a: Solving Equations After this lesson you will be able to: – Solve an equation for a variable – Solve equations involving fractions and/or decimals.

3.5 Solving Equations with Variables on Both Sides.

Solving linear equations  Review the properties of equality  Equations that involve simplification  Equations containing fractions  A general strategy.

Bell Work 9/18/14 Solve the equation..

Solving Addition and Subtraction Equations

Solving Multistep Equations

Lesson 3.5 Solving Equations with the Variable on Both Sides

Equations With Fractions

MAT 117 Functions & Equations 1.3. To solve an equation: Locate the variable that you want to isolate. Use inverse operations (opposite operation) to.

Solving Equations Containing Fractions

Solving Equations with the Variable on Both Sides

Fractional Equations Chapter 7 Section 7.4.

Do Now 1) t + 3 = – 2 2) 18 – 4v = 42.

Rational Equations.

OBJECTIVE: Students will solve multistep equations.

Solving Radical Equations

Solving Equations Finding Your Balance

Solving Multiplication Equations

SECTION 10-4 : RADICAL EQUATIONS

Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides

TWO STEP EQUATIONS 1. SOLVE FOR X 2. DO THE ADDITION STEP FIRST

Solving two step equations

Solving Systems of Equations by Elimination Part 2

Warmup Solve: a) 3 5 = 21

Evaluating Expressions and Solving Equations

Exercise Solve and check x – 3 = 5. x = 8 8 – 3 = 5.

If an equation contains fractions, it may help to multiply both sides of the equation by the least common denominator (LCD) to clear the fractions before.

Solving Equations With One Variable

Presentation transcript:

Solving Equations: a strategy

The mathematics behind solving equations is basic. The hardest part: What do I do first?…

THE GREAT SOLVING EQUATIONS PLAN!!! The following plan will allow you to solve any equation you come across in five easy steps…

Step 1: Eliminate any denominators using the LCD technique.

Step 2: Eliminate any brackets using the Distributive Law. Brackets lock terms together……that’s bad!

Step 3: Collect like terms on each side of the equation. Remember the sign in front of the term stays with the term.

Step 4: Isolate the variable. Eliminate the smaller variable if they are on both sides.

Step 5: Solve the 2 step equation. Add/sub first, then mult/divide.

Solve the following equations: 1. 4x = x = 5

y = y = y = 27 Check this answer

Check 7 + 3(9) = 34 ? = = 34 YES!!!

3. 3z + 4 = 8z z = z -5z + 4 = z = 5 Check this answer

Check 3(5) + 4 = 8(5) – 21 ? = 40 – 21 ? 19 = 19 YES!!!

4. 2(x + 3) = x = x = 4 2x + 6 = 10 Check this answer

Check 2(2 + 3) = 10 ? 2(5) = = 10 YES!!!

(x – 2) = 6x + 7 – 1x x = 12 -5x -1x – 5 = +7 4x - 5 = 5x x – 8 = 6x + 7 – 1x +5 x = - 12

d= d = 12 X 3 3 X 1 1 4d = d = 9

Homework Re-attempt various problems.