Algebra 1 2-4 Complete Lesson: Solving Equations with Variables on Both Sides

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Solve It! The diagram gives information about the populations of two towns. After how many years will the populations be equal?
Enter only a number.

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Solve It! Explain how you found your response to the previous item.

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Problem 1 Got It? What is the solution of the equation?

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Problem 1 Got It? Solve the equation from problem 1 by first subtracting 5x from each side instead of 2x. Do you get the same solution?

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Problem 2 Got It? An office manager spent $650 on a new energy-saving copier that will reduce the monthly electric bill for the office from $112 to $88. In how many months will the copier pay for itself?

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Problem 3 Got It?

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Problem 3 Got It?

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Vocabulary: Define identity in your own words.

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Problem 4 Got It?

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Problem 4 Got It?

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Vocabulary: How many solutions does the equation have?

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Vocabulary: How many solutions does the equation have?

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Vocabulary: How many solutions does the equation have?

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Writing: A student solved an equation and found that the variable was eliminated in the process of solving the equation. How would the student know whether the equation is an identity or an equation with no solution?

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Review Lesson 1-2: Evaluate the expression for the given values of the variables.
Enter only a number.

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Review Lesson 1-2: Evaluate the expression for the given values of the variables.
Enter only a number.

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Review Lesson 1-2: Evaluate the expression for the given values of the variables.
Enter only a number.

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Vocabulay Review: Drag and drop terms from the left to identify the like terms in each expression on the right.

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Use Your Vocabulary: Fill in the blank with a number to make the equation an identity.
Enter only a number.

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Use Your Vocabulary: Fill in the blank with a number to make the equation an identity.
Enter only a number.

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Use Your Vocabulary: Fill in the blank with a term to make the equation an identity.
Enter only an algebraic term.

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Use Your Vocabulary: Categorize each equation on the left as always true, sometimes true, or never true.

Always true
Sometimes true
Never true

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Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

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Reflect: Math Success

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Algebra 1 2-4 Complete Lesson: Solving Equations with Variables on Both Sides

Solve It! The diagram gives information about the populations of two towns. After how many years will the populations be equal?Enter only a number.

Solve It! Explain how you found your response to the previous item.

Problem 1 Got It? What is the solution of the equation?

Problem 1 Got It? Solve the equation from problem 1 by first subtracting 5x from each side instead of 2x. Do you get the same solution?

Problem 2 Got It? An office manager spent $650 on a new energy-saving copier that will reduce the monthly electric bill for the office from $112 to $88. In how many months will the copier pay for itself?

Problem 3 Got It?

Problem 3 Got It?

Vocabulary: Define identity in your own words.

Problem 4 Got It?

Problem 4 Got It?

Vocabulary: How many solutions does the equation have?

Vocabulary: How many solutions does the equation have?

Vocabulary: How many solutions does the equation have?

Writing: A student solved an equation and found that the variable was eliminated in the process of solving the equation. How would the student know whether the equation is an identity or an equation with no solution?

Review Lesson 1-2: Evaluate the expression for the given values of the variables.Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given values of the variables.Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given values of the variables.Enter only a number.

Vocabulay Review: Drag and drop terms from the left to identify the like terms in each expression on the right.

Use Your Vocabulary: Fill in the blank with a number to make the equation an identity.Enter only a number.

Use Your Vocabulary: Fill in the blank with a number to make the equation an identity.Enter only a number.

Use Your Vocabulary: Fill in the blank with a term to make the equation an identity.Enter only an algebraic term.

Use Your Vocabulary: Categorize each equation on the left as always true, sometimes true, or never true.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflect: Math Success

Solve It! The diagram gives information about the populations of two towns. After how many years will the populations be equal?Enter only a number.

Solve It! Explain how you found your response to the previous item.

Problem 1 Got It? What is the solution of the equation?

Problem 1 Got It? Solve the equation from problem 1 by first subtracting 5x from each side instead of 2x. Do you get the same solution?

Problem 2 Got It? An office manager spent $650 on a new energy-saving copier that will reduce the monthly electric bill for the office from $112 to $88. In how many months will the copier pay for itself?

Problem 3 Got It?

Problem 3 Got It?

Vocabulary: Define identity in your own words.

Problem 4 Got It?

Problem 4 Got It?

Vocabulary: How many solutions does the equation have?

Vocabulary: How many solutions does the equation have?

Vocabulary: How many solutions does the equation have?

Writing: A student solved an equation and found that the variable was eliminated in the process of solving the equation. How would the student know whether the equation is an identity or an equation with no solution?

Review Lesson 1-2: Evaluate the expression for the given values of the variables.Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given values of the variables.Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given values of the variables.Enter only a number.

Vocabulay Review: Drag and drop terms from the left to identify the like terms in each expression on the right.

Use Your Vocabulary: Fill in the blank with a number to make the equation an identity.Enter only a number.

Use Your Vocabulary: Fill in the blank with a number to make the equation an identity.Enter only a number.

Use Your Vocabulary: Fill in the blank with a term to make the equation an identity.Enter only an algebraic term.

Use Your Vocabulary: Which does NOT represent an identity?

Use Your Vocabulary: Categorize each equation on the left as always true, sometimes true, or never true.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflect: Math Success

Solve It! The diagram gives information about the populations of two towns. After how many years will the populations be equal?
Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given values of the variables.
Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given values of the variables.
Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given values of the variables.
Enter only a number.

Use Your Vocabulary: Fill in the blank with a number to make the equation an identity.
Enter only a number.

Use Your Vocabulary: Fill in the blank with a number to make the equation an identity.
Enter only a number.

Use Your Vocabulary: Fill in the blank with a term to make the equation an identity.
Enter only an algebraic term.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Solve It! The diagram gives information about the populations of two towns. After how many years will the populations be equal?
Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given values of the variables.
Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given values of the variables.
Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given values of the variables.
Enter only a number.

Use Your Vocabulary: Fill in the blank with a number to make the equation an identity.
Enter only a number.

Use Your Vocabulary: Fill in the blank with a number to make the equation an identity.
Enter only a number.

Use Your Vocabulary: Fill in the blank with a term to make the equation an identity.
Enter only an algebraic term.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.