Distributive property

Slides:

Advertisements

Similar presentations

Solving Multi-Step Equations Just remember to follow the steps 1.Apply the Distributive Property 2.Combine like terms to simplify 3.Isolate the variable.

Advertisements

Solve an equation with variables on both sides

Is this a “ positive 5 ” or “ plus 5 ”? 5 – 2x = 14 BOTH +

Standardized Test Practice

Standardized Test Practice

Solving One and Two step Equations

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 Equations Medina1 Variables on Both Sides.

Solving Multi-Step Equations Just remember to follow the steps 1.Distribute if you can 2.Collect all like terms to simplify 3.Isolate the variable using.

Solving Equations Medina1 Multi-Step Equations. Steps to solve Medina2 3. Use inverse of addition or subtraction You may not have to do all the steps.

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

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

Solving One and Two step Equations Sol A.1. Ex. 1) Solve r + 16 = -7 Think of this equation as a balance scale. Whatever you do to one side has to be.

Solve 1.Write the original problem. 2.Simplify both sides of the equation. 3.Use inverse operations to isolate the variable. (Move all variables to.

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.

Systems of Equations: Substitution

Use the substitution method

Solve Linear Systems by Substitution January 28, 2014 Pages

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

Solve Linear Systems by Substitution Students will solve systems of linear equations by substitution. Students will do assigned homework. Students will.

Solving Addition and Subtraction Equations Lesson 2.3 and 2.4.

Solve Equations With Variables on Both Sides. Steps to Solve Equations with Variables on Both Sides  1) Do distributive property  2) Combine like terms.

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 Systems by Substitution (isolated) Solving Systems by Substitution (not isolated)

Opener (5 + 6) • 2 a + (b + c) + (d • e) 18k x2 + 5x + 4y + 7

3.5 Solving Equations with Variables on Both Sides.

Solving Linear Systems Using Substitution There are two methods of solving a system of equations algebraically: Elimination Substitution - usually used.

1.4 Solving Equations.

Solving Addition and Subtraction Equations

Solving Multistep Equations

Cornell Notes for Math Process Problem Use distributive property

Solving Multi-Step Equations

Solving Multi-Step Equations and Using the Distributive Property

Solve for variable 3x = 6 7x = -21

Solve an equation by multiplying by a reciprocal

Equations With Fractions

2-3 Solving Multi-Step Equations

3-2: Solving Systems of Equations using Substitution

Warm-Up Solve the system by substitution..

Example 2 4 m 8 m 5m 12 m x y.

Solving One-Step Equations

Solving Multi-Step Equations

3-2: Solving Systems of Equations using Substitution

Example 2 4 m 8 m 5m 12 m x y.

Solving Systems of Equations using Substitution

Solving Multi-Step Equations

3-2: Solving Systems of Equations using Substitution

Solve an equation by combining like terms

Three times a number minus 35 is 79. 9n – (6/n) n or 4n (11 + n) or 3(n + 11) 4n2 + 5n n or 7n + 23 Three times a number.

ALGEBRA I - SECTION 2-3 (Solving Multi-Step Equations)

Solving Multi-Step Equations

Solving Multi-Step Equations

5x + 3x + 2 = 20 Bellwork #1 of 2 a.) combine the x terms

} 2x + 2(x + 2) = 36 2x + 2x + 4 = 36 4x + 4 = x =

Lesson Objective: I will be able to …

Solving Multi-Step Equations

Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides

Solving Multi-Step Equations

3-2: Solving Systems of Equations using Substitution

2-3 Solving Multi-Step Equations

Warm Up Check to see if the point is a solution for the

8.2 Solving by Substitution

Solving Equations.

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

2-5 Solving Equations with the Variable on Each Side

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

Objectives: Solve two step and multi-step equations.

Presentation transcript:

Distributive property EQUATIONS Distributive property

Warm up The length of a rectangle is 5cm more than twice the width. The perimeter is 82cm. Find the length and width. 10x – 4x – 5 = 25 Find the slope of a line using the points (0, 1) and (10, 6) Find the 𝟏𝟒𝟒

Steps To Solve Equations Using the Distributive Property Get rid of the parenthesis by distributing. Combine like terms. Move the smaller number of x’s to one side. Move all numbers to the other side. Get x all by itself. Check your answer in the original equation. Circle answer. Show work in the check!

Example  5(m - 6) = 10 5m - 30 = 10 + 30 +30 5m = 40 5 5 m = 8 + 30 +30 5m = 40 5 5 m = 8 Get rid of parenthesis first by distributing. Combine like terms if necessary. Solve using one/two step rules. 5(8 - 6) = 10 5(2) = 10 10 = 10  Check your answer by substituting your answer into the original equation.

Example Distribute if you can. Combine like terms to simplify. -3 - 3 -4 y = 16 -4 -4 y = -4 Distribute if you can. Combine like terms to simplify. Isolate the variable. Solve using one/two step rules. Check your answer 15 – 4 ( y + 3 ) = 19 15 – 4 ( -4 + 3) = 19 15 + 16 – 12 = 19 31 – 12 = 19 19 = 19

Example 3(2x + 5) = 39 Distribute if you can. Combine like terms to simplify. Isolate the variable. Solve using one/two step rules. Check your answer.

Example - 4(8 + 5n) = 8 Distribute if you can. Combine like terms to simplify. Isolate the variable. Solve using one/two step rules. Check your answer.

Example 2( 4x + 3) – 5(2x – 1) = 27 Distribute if you can. Combine like terms to simplify. Isolate the variable. Solve using one/two step rules. Check your answer.

Example ¼ (12 x – 16) + x = 20 Distribute if you can. Combine like terms to simplify. Isolate the variable. Solve using one/two step rules. Check your answer

Six friends go to the movies Six friends go to the movies. Movie tickets are $5 and treats are $2 each. If all 6 friends bought the same number of treats, how many did each person buy if the total spent by all was $54? 6(5 + 2x) = 54 30 + 12x = 54 -30 -30 12x = 24 12 12 x = 2 6 ( 5 + 2x ) = 54 6 ( 5 + 2*2) = 54 6 ( 5 + 4) = 54 6(9) = 54 54 = 54

Classwork Work with your group to complete the “place mats”. I will be taking this in for a classwork grade.

Homework Tonight’s homework is complete the problem solving worksheet started on Friday. Show all your work!