Day 13 multi step equations
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This document provides instructions and examples for solving multi-step equations. It outlines the objective of isolating the variable to find its value and lists the rules as keeping the equation balanced, simplifying each side by combining like terms, and moving the variable to one side using inverse operations. It then provides 6 examples of equations to solve showing the steps to isolate the variable.
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This document provides instructions and examples for solving multi-step equations with variables on both sides. It begins with the learning objective of isolating a variable to find its value. Four rules are outlined: 1) keep the equation balanced, 2) simplify each side by combining like terms, 3) use the distributive property, and 4) use inverse operations to move the variable to one side. The document then works through 10 examples applying these rules to solve equations. It concludes by asking how a student would explain today's lesson on solving equations with variables on both sides to another student who was absent.
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This document provides instructions and examples for solving multi-step equations. It begins with an anticipatory set asking students to list the steps to isolate the variable. It then lists the steps as distributing terms if needed, combining like terms if needed, moving variables to one side using inverse operations, and using inverse operations to isolate the variable. The document provides examples of applying these steps to equations such as -16 = 6a + 8 - 2a and -2(2x + 4) = 3(2x - 6). It concludes with assigning homework to practice these skills.
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This document provides examples and steps for solving fractional equations by combining like terms. It begins with an example of writing and solving an equation to determine what score is needed on a third exam for the mean score to be 90, given scores of 93 and 80 on the first two exams. It then presents the objective of isolating the variable and lists the rules for solving equations, which include keeping the equation balanced, combining like terms, using inverse operations to move variables to one side. Several worked examples demonstrating these steps are shown. It concludes with a homework assignment to finish the class notes.
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- When dividing like variables, you subtract their exponents
- When an exponent is raised to another exponent, you multiply the exponents
- When a variable has a negative exponent, you change its position in a fraction and the exponent becomes positive
The document then provides examples of applying multiple exponent rules to evaluate multi-step algebraic expressions involving variables with exponents.
Solving one step equations
Solving one-step equations involves identifying the operation being performed on the variable, finding the inverse operation, and applying the inverse operation to both sides of the equation to isolate the variable. Equations can be solved by adding or subtracting to move the variable to one side, or by multiplying or dividing both sides by the inverse of the coefficient of the variable. Sample steps are shown for solving equations by adding/subtracting and multiplying/dividing.
Algebra Tiles Pp Version 2
Algebra tiles can be used to model algebraic concepts in a concrete way to help students develop understanding. They represent numbers and variables that can be manipulated to demonstrate addition, subtraction, multiplication, division and other operations. Using the tiles allows students to see relationships and properties of algebra visually and physically that supports learning. The tiles have different colors and shapes to represent numbers, variables, exponents and operations.
1.7
This document provides examples and explanations for solving various types of equations beyond linear and quadratic equations. These include polynomial equations, equations with fractional expressions, equations involving radicals, and equations of quadratic type. Step-by-step solutions are shown for sample equations of each type. Extraneous solutions are discussed. Applications involving dividing a lottery jackpot and calculating bird flight energy expenditure are presented.
Chapter 3. linear equation and linear equalities in one variables
Here are the steps to solve this inequality problem:
1) Write an expression for the perimeter in terms of x
2) Set the perimeter expression ≤ 40
3) Isolate x by undoing the operations
4) Write the solution set
The solution is 0 ≤ x ≤ 7
Algebra 2 01-Systems of Linear Equations and Matrices (RW 2022).pptx
This document provides an overview of solving systems of linear equations using matrices. It introduces matrices and defines key matrix operations like addition, subtraction, and multiplication. It explains how to find the inverse of a matrix and use inverse matrices to solve systems of linear equations. Determinants are also introduced as a way to solve systems using Cramer's Rule or find the area of triangles. The document aims to teach students how to represent and manipulate matrices to solve real-world problems.
Tutorial linear equations and linear inequalities
This document discusses linear equations and inequalities in one variable. It begins by defining open sentences, variables, and solutions. It then covers topics like solving linear equations using addition, subtraction, multiplication, and division. It also discusses solving multi-step equations. Graphing solutions to equations is explained. The document also covers understanding and solving linear inequalities in one variable as well as graphing inequalities. It provides examples of how equations and inequalities can be applied to everyday situations.
7.7 Solving Radical Equations
This document provides steps for solving radical equations:
1) Isolate the radical on one side of the equation by performing inverse operations
2) Raise both sides of the equation to a power equal to the index of the radical to eliminate the radical
3) Solve the remaining polynomial equation
It includes examples of solving simpler radical equations as well as more complex equations involving fractions and multiple radicals. Checking solutions is emphasized as extraneous solutions may occasionally occur. Graphing calculators can also help visualize and find solutions to radical equations.
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Unit 3 hw 4 - solving equations variable both sides
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Day 13 multi step equations
- 1. 1 Do Now OBJECTIVE: How do we solve multi-step equations? a.) 3x + 4 - 5x - 6 = -6 b.) 7d + 13 = 35 - 4d Solve the following equations.
- 3. 3
- 4. 4
- 5. 5 Anticipatory Set "Sentence Starter" "I am confused with solving equations when ..........."
- 6. 6 ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 4.) Use inverse operations 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. -3(x - 5) = -18 1
- 7. 7 ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 4.) Use inverse operations 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. 8(k + 6) = 3(k + 11) 2
- 8. 8 ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 4.) Use inverse operations 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. 8x - 4 = 4(3x - 2) 3
- 9. 9 ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 4.) Use inverse operations 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. -8(x - 2) + 24 = -40 4
- 10. 10 ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 4.) Use inverse operations 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. -9x + 7x - 6 = -4x - 4 + 10 5
- 11. 11 ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 4.) Use inverse operations 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. -9x + 2x + 27 = 60 - 4x 6
- 12. 12 Before You Leave "THE BIG IDEA" What is "THE BIG IDEA" when solving equations in your opinion?
- 13. 13 Homework: Homework Sheet Mr. Tjersland's Math 7