Solving One Step Equations with Division Example 1: y = 4 5 y = 4 5 1 y = 4 5 1 5(4) = 1(y) 20 = 1y y = 20 Cross multiply Original equation Check: y =

Slides:

Advertisements

Similar presentations

Solve an equation by multiplying by a reciprocal

Advertisements

Solving 2 Step Equations

Table of Contents First, find the least common denominator (LCD) of all fractions present. Linear Equations With Fractions: Solving algebraically Example:

EXAMPLE 4 Solve proportions SOLUTION a x 16 = Multiply. Divide each side by 10. a x 16 = = 10 x5 16 = 10 x80 = x8 Write original proportion.

EXAMPLE 2 Using the Cross Products Property = 40.8 m Write original proportion. Cross products property Multiply. 6.8m 6.8 = Divide.

Write decimal as percent. Divide each side by 136. Substitute 51 for a and 136 for b. Write percent equation. Find a percent using the percent equation.

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.

Standardized Test Practice

Standardized Test Practice

Equations & Brackets.. You are now going to solve more complex equations by combining together two ideas that you have seen already. Try the following.

Solving Percent Problems Using Proportions

3.5 Solving systems of equations in 3 variables

Orders of Operations Section 1.6. Objective Perform any combination of operations on whole numbers.

( ) EXAMPLE 3 Standardized Test Practice SOLUTION 5 x = – 9 – 9

Chapter 3 Lesson 5 Solving 2-Step Equations Pgs What you will learn: To solve 2-step equations!

1.4 Solving Equations ●A variable is a letter which represents an unknown number. Any letter can be used as a variable. ●An algebraic expression contains.

3-2 Solving Equations by Using Addition and Subtraction Objective: Students will be able to solve equations by using addition and subtraction.

SOLVING SYSTEMS ALGEBRAICALLY SECTION 3-2. SOLVING BY SUBSTITUTION 1) 3x + 4y = 12 STEP 1 : SOLVE ONE EQUATION FOR ONE OF THE VARIABLES 2) 2x + y = 10.

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.

Rational Equations Section 8-6.

Solving Systems of Equations: The Elimination Method Solving Systems of Equations: The Elimination Method Solving Systems of Equations: The Elimination.

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.

Solve an inequality using multiplication EXAMPLE 2 < 7< 7 x –6 Write original inequality. Multiply each side by –6. Reverse inequality symbol. x > –42.

Objectives: 1.Be able to solve a system of equations by using the substitution method. 2.Be able to solve a system of equations by using the elimination.

Solving a System of Equations in Two Variables By Substitution Chapter 8.2.

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?

Bell Ringer 2. Systems of Equations 4 A system of equations is a collection of two or more equations with a same set of unknowns A system of linear equations.

2.2 Solving Two- Step Equations. Solving Two Steps Equations 1. Use the Addition or Subtraction Property of Equality to get the term with a variable on.

Solving One Step Equations with Decimals Example 1 x = x = 3.7 Check: x = 8.6 Does = 8.6? 8.6 = 8.6 Subtract.

Solving Fraction Equations with Multiplication and Division Example 1: Solve Divide both sides by 2/3 to isolate the variable. Original equation Solution.

Solving Equations. An equation links an algebraic expression and a number, or two algebraic expressions with an equals sign. For example: x + 7 = 13 is.

Solving Algebraic Equations. Equality 3 = = = 7 For what value of x is: x + 4 = 7 true?

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.

1.4 Solving Equations.

Solving Absolute-Value Equations

Lesson 13 ONE STEP EQUATIONS A.4e.

1. Add: 5 x2 – 1 + 2x x2 + 5x – 6 ANSWERS 2x2 +7x + 30

EXAMPLE 2 Rationalize denominators of fractions Simplify

Finding a Percent of a Number

Solving One Step Equations with Multiplication

Solving Two-Step Equations

3-1 HW:Pg #4-28eoe, 30-48e, 55, 61,

( ) EXAMPLE 3 Standardized Test Practice SOLUTION 5 x = – 9 – 9

Solve an equation by multiplying by a reciprocal

3.1 Solving Two-Step Equations

Equations with Algebraic Fractions

Solving By Substitution

Solving Equations by Factoring and Problem Solving

Solving One-Step Equations

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

Equations Containing Decimals

3.2a – Solving Systems algebraically

7.2 Solving Systems of Equations Algebraically

Solving Systems of Equations

Equations and Inequalities

Substitution method y= 3x+1 5x + 2 y =13 Solve:

Solving Absolute-Value Equations

Solving One Step Equations with Division

Learning Objective Students will be able to: Solve equations in one variable that contain absolute-value expressions.

Solving Equations.

Example 2B: Solving Linear Systems by Elimination

3.1 Solving Two-Step Equations 1 3x + 7 = –5 3x + 7 = –5 – 7 – 7

Section 2.6 Solve Equations by Multiplying or Dividing

Solving Equations by 2-1 Adding or Subtracting Warm Up

Example 1: Solving Rational Equations

Definition of logarithm

EXAMPLE 4 Solve proportions Solve the proportion. ALGEBRA a x 16

Presentation transcript:

Solving One Step Equations with Division Example 1: y = 4 5 y = y = (4) = 1(y) 20 = 1y y = 20 Cross multiply Original equation Check: y = = = 4 Original equation Substitute your answer to check to see if the two sides are equal. Note: * To solve equations with division, put the whole number over on and cross multiply. * Remember, what you do to one side of an equation, you must do to the other. Put the whole number (4) over one. Solution

Solving One Step Equations with Division Check: 12 = z 4 12 = = 12 Original equation Substitute your answer to check to see if the two sides are equal. Note: * To solve equations with division, put the whole number over on and cross multiply. * Remember, what you do to one side of an equation, you must do to the other. Example 2: 12 = z 4 12 = z = z 1 4 1(z) = 12(4) 1z = 48 z = 48 Cross multiply Original equation Solution Put the whole number (12) over one.

Solving One Step Equations with Division Try these: Show all work and check your solutions. 1.) x = 11 2.) 16 = y 3.) 8 = z Check: Check: Check:

Solving One Step Equations with Division Real-Life Application One fourth of the number of students in the sixth grade came to the IMS Winter Carnival. If 62 students came to the carnival, how many students are in the 6 th grade at IMS? Set up and solve an equation to find the answer. Verbal Story Algebraic Equation

Solving One Step Equations with Division Real-Life Application In a recent game the IMS scored one-third of their points in a 10 minute span. If the team scored 24 points during that 10 minute span, how many points did they score in the whole game? Set up and solve an equation to find the answer. Verbal Story Algebraic Equation