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Algebra 1 1-1 Complete Lesson: Variables and Expressions

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Last updated over 1 year ago
35 questions
Note from the author:
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A complete formative lesson with embedded slideshow, mini-lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
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Question 1
1.

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
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Question 2
2.

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

Question 3
3.

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

Enter only the expression, in simplest form.

Question 4
4.

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.

Question 5
5.

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.

Question 6
6.

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

Question 7
7.

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

Question 8
8.

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

Question 9
9.

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

Question 10
10.

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

Question 11
11.

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

Question 12
12.

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

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Question 13
13.

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.

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Question 24
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Question 26
26.

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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Question 27
27.

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

Question 28
28.

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

Question 29
29.

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

Question 30
30.

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

Question 31
31.

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

Question 32
32.

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

Question 33
33.

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

  • difference
Question 34
34.

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.

Question 35
35.

Reflection: Math Success

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

Flight time from Philadelphia to San Francisco
Yes, they both mean the same thing. They can also both be represented by the expression y - 6.
ten times the sum of a number x and 9
the sum of a number x and 9 times 10
the sum of ten times a number x and 9
a number x more than the product of 10 and 9
the product of a number n and 3
the difference of a number n and 3
the quotient of a number n and 3
the sum of a number n and 3
five times a number x plus 1
five times a number x less 1
the sum of 5 and the product of 1 and a number x
five more than 1 times a number x
A
B
C
D
D
D
D
D
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49n + 0.75
divided by
less
more than
product
quotient
sum
times
Addition
Subtraction
Multiplication
Division