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Mystery Box SE.4 Systems of Equations
LAUNCH Recall how you solved “Coin Quandary” 2
Mystery Box You will get a box with two types of erasers. Star erasers that cost 4¢ each Pencil top erasers that cost 3¢ each
©Evergreen Public Schools Debrief In the system of equations, you wrote two equations. What does each equation count? When defining your variables, you need to be more specific than “x = star erasers”. What do you need to add to your definition of x ?
3.5 – Solving Systems of Equations in Three Variables.
Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Coins Quandary Teacher Notes Vocabulary: system of equations Prepare 1 box (or envelope) per student. Supplies: pennies & nickels boxes or containers that.
Coin Combinations Systems of Equations. ©Evergreen Public Schools Practice Target Practice 4: Model with mathematics.
Lesson 1-8 Solving Addition and Subtraction Equations.
Solve Absolute Value Equations © Evergreen Public Schools 2010.
Solving Systems with Addition Word Problems. Essential Questions How can we find the solution to a system of equations by using addition? How can we use.
Trigonometric Equations. Definition Example: Consider:
7.4. 5x + 2y = 16 5x + 2y = 16 3x – 4y = 20 3x – 4y = 20 In this linear system neither variable can be eliminated by adding the equations. In this linear.
© 2007 M. Tallman. 40, ,000 = 70,000 The following pattern of addition is related to a basic math fact: = = = 700.
One step equations Add Subtract Multiply Divide When we solve an equation, our goal is to isolate our variable by using our inverse operations. What.
Elimination Method - Systems. Elimination Method With the elimination method, you create like terms that add to zero.
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.
What is the difference between evaluating an expression and simplifying an expression?
Warm Up 1) Is (-3, 4) a solution to the system? 2)Solve the system by graphing y = -2x + 5 2y = x - 2.
Notes 6.5, Date__________ (Substitution). To solve using Substitution: 1.Solve one equation for one variable (choose the variable with a coefficient of.
2.4 – Solving Equations with the Variable on Each Side.
Solving Equations Performing inverse operations on both sides (Involves backtracking)
Solving Systems of three equations with three variables Using substitution or elimination.
Notes – 2/13 Addition Method of solving a System of Equations Also called the Elimination Method.
3.5 Solving Equations with Variables on Both Sides.
* Collect the like terms 1. 2a = 2a x -2x + 9 = 6x z – – 5z = 2z - 6.
1 ©Evergreen Public Schools /15/10 Teacher Notes This lesson is an alternative to section 5-6 Reciprocals Methodology: Multiply by common denominator.
Solving Equations with Addition or Subtraction Medina1.
Finding angles with algebraic expressions. You need to take the concepts that we have learned to find the value of x 5x + 40 x + 20.
SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION. #1. SOLVE one equation for the easiest variable a. Isolated variable b. Leading Coefficient of One #2. SUBSTITUTE.
$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.
Solve for y when x = 1, 2, 3 and 4. 1.) y = x ) y = 5x 4 3.) y = 3x Solve for y when x is -2, -1, 0, 1. Patterns and Functions Day 2.
2.1 Solving One Step Equations. Addition Property of Equality For every real number a, b, and c, if a = b, then a + c = b + c. Example 8 = For every.
Bell Work2/12/15 Solve the system by elimination..
Jeopardy Solving Equations Add and Subtract Multiply and Divide Multi-Step Variables on each side Grouping Symbols $100 $200 $300 $400 $500 $100 $200.
Solve Equations With Variables on Both Sides. Steps to Solve Equations with Variables on Both Sides 1) Do distributive property 2) Combine like terms.
Algebra February 10, Systems of Three Variables We have already seen a system of two equations used to solve two variables. Now we are going to.
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.
Elimination Method: Solve the linear system. -8x + 3y=12 8x - 9y=12.
Lesson 9-5 Multiplication with the Addition /Subtraction Method Objective: To use multiplication with the addition or subtraction method to solve systems.
The model represents the equation x + 2 =6. What is the value of x? x + + =
Review after Christmas!. Solve the below equations for the variable..5 (6x +8) = 16 1.
Solving System of Equations that have 0, 1, and Infinite Solutions.
4.8 – Solving Equations with Fractions 1. Find the LCD of all fractions in the equation. 2. Multiply all terms of the equation by the LCD. 3. Solve for.
© 2007 M. Tallman. 130, ,000 = 70,000 The following pattern of subtraction is related to a basic math fact: = =
SOLVING QUADRATIC EQUATIONS COMPLETING THE SQUARE Goal: I can complete the square in a quadratic expression. (A-SSE.3b)
1 Graph Linear Inequalities Teacher Notes Here is our procedure for graphing linear inequalities. Step 1 – Graph line Step 2 – Draw the line Step 3 – Test.
Solving equations with variable on both sides Part 1.
Equation Race Set 2 Distributive Property Solve your equation then add together your individual answers to get the final answer.
NSPIRE DAY 3 Solving and Systems. 1. What are the steps to solve an equation with the Nspire?
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 =
3/12/2016 ©Evergreen Public Schools Compare Strategies Teacher Notes You may want to make posters showing Marsha’s and Tara’s strategies to have.
WRITING ABOUT MATH. FIRST…ANSWER THE QUESTION Question: How can you get the sum of 9 + 4? Answer: You can get the sum of 9+4 by adding 4 to 9, which is.
The Substitution Method Objectives: To solve a system of equations by substituting for a variable.
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