Algebra 1 1-1 Complete Lesson: Variables and Expressions

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Solve It! Consider the population of Florida, the area of Colorado, and the flight time from Philadelphia to San Francisco. Drag the tags below to identify whether each represents a quantity that varies.

Varies
Does NOT Vary

Population of Florida
Area of Colorado
Flight time from Philadelphia to San Francisco

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Problem 1 Got it? What is an algebraic expression for 18 more than a number n?

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Problem 2 Got it? What is an algebraic expression for 6 times a number n?

Enter only the expression, in simplest form.

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Problem 2 Got it? What is an algebraic expression for the quotient of 18 and a number n?

Enter only the expression, in simplest form.

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Problem 2 Got it? Reasoning: Do the phrases 6 less a number y and 6 less than a number y mean the same thing? Explain.

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Problem 3 Got it? What is an algebraic expression for 8 less than the product of a number x and 4?

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Problem 3 Got it? What is an algebraic expression for twice the sum of a number x and 8?

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Problem 3 Got it? What is an algebraic expression for the quotient of 5 and the sum of 12 and a number x?

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Problem 4 Got it? What word phrase can you use to represent the algebraic expression x + 8?

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Problem 4 Got it? What word phrase can you use to represent the algebraic expression 10x + 9?

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Problem 4 Got it? What word phrase can you use to represent the algebraic expression?

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Problem 4 Got it? What word phrase can you use to represent the algebraic expression 5x - 1?

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5

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Reasoning: Use the table to decide whether 49n + 0.75 or 49 + 0.75n represents the total cost to rent a truck that you drive n miles.

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Find the sum. Write your answer in simplest form.
If necessary, use this for for fractions: 7/5

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Find the difference. Write your answer in simplest form.
If necessary, use this for for fractions: 7/5

10

Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.

10

Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.

10

Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.

10

Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.

10

Additional Vocabulary Support: Match TWO words or word phrases from the left to represent EACH operation on the right.

difference
divided by
less
more than
product
quotient
sum
times

Addition
Subtraction
Multiplication
Division

100

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.

10

Algebra 1 1-1 Complete Lesson: Variables and Expressions

Solve It! Consider the population of Florida, the area of Colorado, and the flight time from Philadelphia to San Francisco. Drag the tags below to identify whether each represents a quantity that varies.

Problem 1 Got it? What is an algebraic expression for 18 more than a number n?

Problem 2 Got it? What is an algebraic expression for 6 times a number n?Enter only the expression, in simplest form.

Problem 2 Got it? What is an algebraic expression for the quotient of 18 and a number n?Enter only the expression, in simplest form.

Problem 2 Got it? Reasoning: Do the phrases 6 less a number y and 6 less than a number y mean the same thing? Explain.

Problem 3 Got it? What is an algebraic expression for 8 less than the product of a number x and 4?

Problem 3 Got it? What is an algebraic expression for twice the sum of a number x and 8?

Problem 3 Got it? What is an algebraic expression for the quotient of 5 and the sum of 12 and a number x?

Problem 4 Got it? What word phrase can you use to represent the algebraic expression x + 8?

Problem 4 Got it? What word phrase can you use to represent the algebraic expression 10x + 9?

Problem 4 Got it? What word phrase can you use to represent the algebraic expression?

Problem 4 Got it? What word phrase can you use to represent the algebraic expression 5x - 1?

Reasoning: Use the table to decide whether 49n + 0.75 or 49 + 0.75n represents the total cost to rent a truck that you drive n miles.

Find the sum. Write your answer in simplest form.If necessary, use this for for fractions: 7/5

Find the difference. Write your answer in simplest form.If necessary, use this for for fractions: 7/5

Find the greatest common factor (GCF) of the pair of numbers.Enter only a number.

Find the greatest common factor (GCF) of the pair of numbers.Enter only a number.

Find the greatest common factor (GCF) of the pair of numbers.Enter only a number.

Find the greatest common factor (GCF) of the pair of numbers.Enter only a number.

Additional Vocabulary Support: Match TWO words or word phrases from the left to represent EACH operation on the right.

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.

Reflection: Math SuccessRespond to the items on the canvas to express your understanding.

Solve It! Consider the population of Florida, the area of Colorado, and the flight time from Philadelphia to San Francisco. Drag the tags below to identify whether each represents a quantity that varies.

Problem 1 Got it? What is an algebraic expression for 18 more than a number n?

Problem 2 Got it? What is an algebraic expression for 6 times a number n?Enter only the expression, in simplest form.

Problem 2 Got it? What is an algebraic expression for the quotient of 18 and a number n?Enter only the expression, in simplest form.

Problem 2 Got it? Reasoning: Do the phrases 6 less a number y and 6 less than a number y mean the same thing? Explain.

Problem 3 Got it? What is an algebraic expression for 8 less than the product of a number x and 4?

Problem 3 Got it? What is an algebraic expression for twice the sum of a number x and 8?

Problem 3 Got it? What is an algebraic expression for the quotient of 5 and the sum of 12 and a number x?

Problem 4 Got it? What word phrase can you use to represent the algebraic expression x + 8?

Problem 4 Got it? What word phrase can you use to represent the algebraic expression 10x + 9?

Problem 4 Got it? What word phrase can you use to represent the algebraic expression?

Problem 4 Got it? What word phrase can you use to represent the algebraic expression 5x - 1?

Problem 5 Got it? Suppose you draw a segment from any one vertex of a regular polygon to the other vertices. A sample for a regular hexagon is shown. Use the table to find a pattern.

Reasoning: Use the table to decide whether 49n + 0.75 or 49 + 0.75n represents the total cost to rent a truck that you drive n miles.

Find the sum. Write your answer in simplest form.If necessary, use this for for fractions: 7/5

Find the difference. Write your answer in simplest form.If necessary, use this for for fractions: 7/5

Find the greatest common factor (GCF) of the pair of numbers.Enter only a number.

Find the greatest common factor (GCF) of the pair of numbers.Enter only a number.

Find the greatest common factor (GCF) of the pair of numbers.Enter only a number.

Find the greatest common factor (GCF) of the pair of numbers.Enter only a number.

Additional Vocabulary Support: Match TWO words or word phrases from the left to represent EACH operation on the right.

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.

Reflection: Math SuccessRespond to the items on the canvas to express your understanding.

Problem 5 Got it? Suppose you draw a segment from any one vertex of a regular polygon to the other vertices. A sample for a regular hexagon is shown. Use the table to find a pattern.

Problem 2 Got it? What is an algebraic expression for 6 times a number n?

Enter only the expression, in simplest form.

Problem 2 Got it? What is an algebraic expression for the quotient of 18 and a number n?

Enter only the expression, in simplest form.

Find the sum. Write your answer in simplest form.
If necessary, use this for for fractions: 7/5

Find the difference. Write your answer in simplest form.
If necessary, use this for for fractions: 7/5

Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.

Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.

Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.

Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.

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.

Reflection: Math Success

Respond to the items on the canvas to express your understanding.

Problem 2 Got it? What is an algebraic expression for 6 times a number n?

Enter only the expression, in simplest form.

Problem 2 Got it? What is an algebraic expression for the quotient of 18 and a number n?

Enter only the expression, in simplest form.

Problem 5 Got it? Suppose you draw a segment from any one vertex of a regular polygon to the other vertices. A sample for a regular hexagon is shown.

Use the table to find a pattern.

Find the sum. Write your answer in simplest form.
If necessary, use this for for fractions: 7/5

Find the difference. Write your answer in simplest form.
If necessary, use this for for fractions: 7/5

Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.

Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.

Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.

Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.

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.

Reflection: Math Success

Respond to the items on the canvas to express your understanding.

Problem 5 Got it? Suppose you draw a segment from any one vertex of a regular polygon to the other vertices. A sample for a regular hexagon is shown.

Use the table to find a pattern.