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How to solve multi-step linear equations step by step is a crucial skill for students learning algebra. This guide covers techniques for solving various types of equations, from one-step to multi-step, including those with variables on both sides.
Key points:
6/26/2023
195
This page introduces the basics of solving one-step and two-step equations, emphasizing the importance of balance in equation solving.
Definition: One-step equations require a single operation to solve, while two-step equations involve two operations.
Highlight: When solving equations, use inverse operations to isolate the variable:
Example: Solving a one-step equation: 3a = 12 a = 12 ÷ 3 a = 4
Vocabulary:
The page also provides several examples of how to solve multi-step linear equations for beginners, demonstrating the step-by-step process for both one-step and two-step equations.
This section focuses on how to solve 2-step equations with a clear, step-by-step approach:
Example: Solving a two-step equation: 4x - 8 = 16 4x = 24 (Add 8 to both sides) x = 6 (Divide both sides by 4)
The page provides numerous examples of two-step equations examples with answers, allowing students to practice and reinforce their understanding of the solving process.
Highlight: Remember to perform operations in the correct order to maintain the equation's balance.
This section introduces how to solve multi-step equations with two variables on different sides of the equal sign.
The page presents an exploratory activity to help students understand the concept visually before moving on to algebraic solutions.
Highlight: Steps for solving equations with variables on both sides:
Example: Solving an equation with variables on both sides: 3x + 1 = 2x + 7 x + 1 = 7 x = 6
The page provides several practice problems, serving as solving multi-step equations worksheets with answers to reinforce the concept.
This page delves deeper into solving multi-step equations worksheets with answers, focusing on more complex problems and their applications.
Example: Solving a multi-step equation: 2(5 - x) = 9 10 - 2x = 9 -2x = -1 x = 1/2
The page also demonstrates how to apply these equation-solving skills to geometry problems, such as finding supplementary angles.
Highlight: In supplementary angles, the sum of the two angles is always 180 degrees.
Example: Solving for supplementary angles: x + 4(x + 3) = 17 5x + 12 = 17 5x = 5 x = 1
This page introduces more complex equations, focusing on how to solve multi-step linear equations with variables on one side of the equation.
Definition: Like terms are terms that contain the same letter variables raised to the same powers. Only the coefficients may differ.
Example: Combining like terms: 7x + 2x - 5 + x - 2x + 9 = 45 8x + 4 = 45
The page also covers the distributive property, an essential technique for simplifying expressions within equations.
Highlight: To distribute, multiply the term outside the parentheses by each term inside the parentheses.
Example: Applying the distributive property: 3(x - 5) = 3x - 15
Several practice problems are provided, offering multi-step equations examples with answers to help students master these techniques.
This final page compares different approaches to solving equations with variables on both sides, encouraging students to think critically about solution strategies.
Example: Two different approaches to solving 5x + 3 = 2x + 5: Teddy's approach: 5x + 3 = 2x + 5 3 = -3x + 5 -2 = -3x x = 2/3
Topher's approach: 5x + 3 = 2x + 5 3x + 3 = 5 3x = 2 x = 2/3
Highlight: Different solution strategies can lead to the same correct answer. Students should choose the method they find most comfortable and efficient.
The page concludes with additional practice problems, including applications to geometry concepts like alternate interior angles and corresponding angles.
171
425
8th
Multi-Step Equations
Work problems about the topic
596
4261
8th
Algebra 1 notes
Here are some notes to prepare for your FSA! If helpful please give us 5 stars
99
289
7th/8th
Solving Equations with Variables on Both Sides
These are my notes for 1.3 on the 8th grade Big Ideas Math book. This is an individual lesson, not the entire chapter.
Average App Rating
Students use Knowunity
In Education App Charts in 12 Countries
Students uploaded study notes
iOS User
Stefan S, iOS User
SuSSan, iOS User
How to solve multi-step linear equations step by step is a crucial skill for students learning algebra. This guide covers techniques for solving various types of equations, from one-step to multi-step, including those with variables on both sides.
Key points:
This page introduces the basics of solving one-step and two-step equations, emphasizing the importance of balance in equation solving.
Definition: One-step equations require a single operation to solve, while two-step equations involve two operations.
Highlight: When solving equations, use inverse operations to isolate the variable:
Example: Solving a one-step equation: 3a = 12 a = 12 ÷ 3 a = 4
Vocabulary:
The page also provides several examples of how to solve multi-step linear equations for beginners, demonstrating the step-by-step process for both one-step and two-step equations.
This section focuses on how to solve 2-step equations with a clear, step-by-step approach:
Example: Solving a two-step equation: 4x - 8 = 16 4x = 24 (Add 8 to both sides) x = 6 (Divide both sides by 4)
The page provides numerous examples of two-step equations examples with answers, allowing students to practice and reinforce their understanding of the solving process.
Highlight: Remember to perform operations in the correct order to maintain the equation's balance.
This section introduces how to solve multi-step equations with two variables on different sides of the equal sign.
The page presents an exploratory activity to help students understand the concept visually before moving on to algebraic solutions.
Highlight: Steps for solving equations with variables on both sides:
Example: Solving an equation with variables on both sides: 3x + 1 = 2x + 7 x + 1 = 7 x = 6
The page provides several practice problems, serving as solving multi-step equations worksheets with answers to reinforce the concept.
This page delves deeper into solving multi-step equations worksheets with answers, focusing on more complex problems and their applications.
Example: Solving a multi-step equation: 2(5 - x) = 9 10 - 2x = 9 -2x = -1 x = 1/2
The page also demonstrates how to apply these equation-solving skills to geometry problems, such as finding supplementary angles.
Highlight: In supplementary angles, the sum of the two angles is always 180 degrees.
Example: Solving for supplementary angles: x + 4(x + 3) = 17 5x + 12 = 17 5x = 5 x = 1
This page introduces more complex equations, focusing on how to solve multi-step linear equations with variables on one side of the equation.
Definition: Like terms are terms that contain the same letter variables raised to the same powers. Only the coefficients may differ.
Example: Combining like terms: 7x + 2x - 5 + x - 2x + 9 = 45 8x + 4 = 45
The page also covers the distributive property, an essential technique for simplifying expressions within equations.
Highlight: To distribute, multiply the term outside the parentheses by each term inside the parentheses.
Example: Applying the distributive property: 3(x - 5) = 3x - 15
Several practice problems are provided, offering multi-step equations examples with answers to help students master these techniques.
This final page compares different approaches to solving equations with variables on both sides, encouraging students to think critically about solution strategies.
Example: Two different approaches to solving 5x + 3 = 2x + 5: Teddy's approach: 5x + 3 = 2x + 5 3 = -3x + 5 -2 = -3x x = 2/3
Topher's approach: 5x + 3 = 2x + 5 3x + 3 = 5 3x = 2 x = 2/3
Highlight: Different solution strategies can lead to the same correct answer. Students should choose the method they find most comfortable and efficient.
The page concludes with additional practice problems, including applications to geometry concepts like alternate interior angles and corresponding angles.
Arithmetic - Multi-Step Equations
Work problems about the topic
171
425
1
Arithmetic - Algebra 1 notes
Here are some notes to prepare for your FSA! If helpful please give us 5 stars
596
4261
6
Arithmetic - Solving Equations with Variables on Both Sides
These are my notes for 1.3 on the 8th grade Big Ideas Math book. This is an individual lesson, not the entire chapter.
99
289
1
Average App Rating
Students use Knowunity
In Education App Charts in 12 Countries
Students uploaded study notes
iOS User
Stefan S, iOS User
SuSSan, iOS User
