This title slide for an Algebra 1 lesson is titled "Solving Equations with Variables on Both Sides." The subtitle highlights "Mastering Multi-Side Variables" and credits the instructor as [Your Name].

Algebra 1

Mastering Multi-Side Variables Instructor: [Your Name]

Source: Engaging background image of balanced scales with modern teal/blue accents

The "Lesson Agenda" slide outlines the lesson's structure in seven key items. It covers objectives, key concepts, step-by-step solving, examples, guided practice, check for understanding, and summary.

Lesson Agenda

1. Objectives
2. Key Concepts
3. Step-by-Step Solving
4. Examples
5. Guided Practice
6. Check for Understanding
7. Summary

This slide introduces equations with variables on both sides, titled "Equations with Variables on Both Sides" as section 01. It provides an example like 3x + 2 = x + 5 and notes that isolation uses inverse operations.

What Are Equations with Variables on Both Sides?

01

Equations with Variables on Both Sides

Equations like 3x + 2 = x + 5 have x on both sides. Isolate using inverse operations.

Source: Algebra 1 PDF

This slide lists four steps to solve an equation under the title "Steps to Solve (Click to Reveal)." The steps are: group variables on one side by adding/subtracting terms, move constants to the other side, multiply/divide both sides by the coefficient, and check the solution by substitution.

Steps to Solve (Click to Reveal)

• Add/subtract terms to group variables on one side.
• Add/subtract constants to the other side.
• Multiply/divide both sides by the coefficient.
• Check solution by substitution.

Source: Algebra 1: Solving Equations

This slide presents a step-by-step workflow for solving equations with variables on both sides. It covers starting with the equation, moving terms and simplifying, isolating x by division, and verifying the solution.

Solving Workflow

{ "headers": [ "Step", "Description" ], "rows": [ [ "Start", "Begin with an equation having variables on both sides." ], [ "Move Terms", "Move all variable terms to one side and constants to the other using inverse operations." ], [ "Simplify", "Combine like terms on each side of the equation." ], [ "Isolate x", "Divide both sides by the coefficient of x to solve for x." ], [ "Verify", "Substitute the solution back into the original equation to check." ] ] }

Source: Algebra 1: Solving Equations with Variables on Both Sides

This slide shows the step-by-step solution to 2x + 3 = 5x - 2: subtract 2x to get 3 = 3x - 2, add 2 to get 5 = 3x, and divide by 3 for x = 5/3. It verifies the solution by substituting x = 5/3, confirming both sides equal 19/3.

Example 1: 2x + 3 = 5x - 2

| Original: 2x + 3 = 5x - 2

Step 1: Subtract 2x → 3 = 3x - 2

Step 2: Add 2 → 5 = 3x

Step 3: Divide by 3 → x = 5/3 | x = 5/3

Check: Left: 2(5/3) + 3 = 10/3 + 9/3 = 19/3 Right: 5(5/3) - 2 = 25/3 - 6/3 = 19/3 ✅ Equal! |

Source: Algebra 1

This slide, titled "Example 2: Guided Table," shows a step-by-step solution to solving the equation 4x - 1 = 2x + 5. The table lists four steps, each with the updated equation and a concise explanation of the algebraic operation, culminating in x = 3.

Example 2: Guided Table

{ "headers": [ "Step", "Equation", "Explanation" ], "rows": [ [ "1", "4x - 1 = 2x + 5", "Original equation" ], [ "2", "2x - 1 = 5", "Subtract 2x from both sides" ], [ "3", "2x = 6", "Add 1 to both sides" ], [ "4", "x = 3", "Divide by 2" ] ] }

Source: Algebra 1: Solving Equations

This slide presents a visual aid image illustrating variables moving across the equal sign in equations. Click-activated animations maintain scale balance, demonstrating equality preservation and interactively reinforcing solving steps.

Visual Aid

!Image

• Visualize variables moving across equal sign.
• Click animations maintain scale balance.
• Demonstrates equality preservation in equations.
• Reinforces solving steps interactively.

Source: Wikipedia: balance scale

This slide guides solving the equation 3a + 4 = a + 10 with hints to subtract a, then 4 from both sides, and a solution of a = 3 after dividing by 2. It ends by prompting viewers to pause and solve independently.

Guided Practice

• Solve: 3a + 4 = a + 10
• Hint 1: Subtract a from both sides
• Hint 2: Subtract 4 from both sides
• Solution: Divide by 2, a = 3
• Your turn: Pause and solve independently

Source: Algebra 1: Solving Equations with Variables on Both Sides

The "Quick Check for Understanding" stats slide highlights that 85% correctly chose the first step (per pie chart) and 70% verified solutions via substitution checks. It also notes 30% caught common errors through interactive clickable responses.

Quick Check for Understanding

• 85%: First Step Correct

Pie chart majority chose right

• 70%: Verified Solution

Understood check substitution

• 30%: Common Errors Caught

Interactive clickable responses

The slide summarizes the key takeaway of isolating x systematically, assigns homework to complete 5 problems, and provides resource links. It thanks the audience, opens time for Q&A, and features an encouraging subtitle "You've got this! Practice now" with a vibrant CTA button.

Summary & Next Steps

• Key takeaway: Isolate x systematically.

• Homework: Complete 5 problems.
• Resources: [Link provided].

Thank you! Q&A time.

You've got this! Practice now. [Vibrant CTA button]

Source: Algebra 1: Solving Equations with Variables on Both Sides