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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 2
2.

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.

Question 6
6.

Question 7
7.

Question 8
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Question 9
9.

Question 10
10.

Question 11
11.

Question 12
12.

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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.

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.

Question 1
1.

Problem 1 Got it? What is an algebraic expression for 18 more than a number n?
18 - n
n + 18
n - 18
18n
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.
No, they do not both mean the same thing. 6 less a number y can be represented by the expression 6 - y. 6 less than a number y can be represented by the expression y - 6.
Yes, they both mean the same thing. They can also both be represented by the expression y - 6.
Problem 3 Got it? What is an algebraic expression for 8 less than the product of a number x and 4?
8 - 4x
x/4 + 8
4x - 8
8(x + 4)
Problem 3 Got it? What is an algebraic expression for twice the sum of a number x and 8?
2(x + 8)
x(x + 8)
2x + 8
x + 2(8)
Problem 3 Got it? What is an algebraic expression for the quotient of 5 and the sum of 12 and a number x?
A
B
C
D
Problem 4 Got it? What word phrase can you use to represent the algebraic expression x + 8?
the product of a number x and 8
the number x times 8
the sum of a number x and 8
the number x less 8
Problem 4 Got it? What word phrase can you use to represent the algebraic expression 10x + 9?
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
Problem 4 Got it? What word phrase can you use to represent the algebraic expression?
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
Problem 4 Got it? What word phrase can you use to represent the algebraic expression 5x - 1?
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
Question 13
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Question 14
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Question 15
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Question 16
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Question 17
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Question 18
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Question 19
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Question 20
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Question 21
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Question 22
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Question 23
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Question 24
24.
Question 26
26.

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
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
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.
A
B
C
D
B
B
B
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
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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.
49 + 0.75n
49n + 0.75