Algebra 1 1-4 Complete Lesson: Properties of Real Numbers
By Matt Richardson
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Last updated almost 3 years ago
28 Questions
Note from the author:
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.
5 points
5
Question 1
1.
Solve It! Tell whether the pair of expressions is equal.
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5
Question 2
2.
Solve It! Tell whether the pair of expressions is equal.
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5
Question 3
3.
Solve It! Tell whether the pair of expressions is equal.
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5
Question 4
4.
Solve It! Tell whether the pair of expressions is equal.
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5
Question 5
5.
Solve It! Tell whether the pair of expressions is equal.
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5
Question 6
6.
Solve It! Tell whether the pair of expressions is equal.
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10
Question 7
7.
Problem 1 Got It?
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Question 8
8.
Problem 1 Got It?
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10
Question 9
9.
Problem 2 Got It?
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10
Question 10
10.
Problem 3 Got It?
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Question 11
11.
Problem 3 Got It?
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Question 12
12.
Problem 3 Got It?
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Question 13
13.
Problem 4 Got It? Reasoning: Is the statement true or false? If it is false, give a counterexample. If true, use properties of real numbers to show the expressions are equivalent.
For all real numbers j and k, j⋅k = (k + 0) ⋅ j.
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10
Question 14
14.
Problem 4 Got It? Reasoning: Is the statement true or false? If it is false, give a counterexample. If true, use properties of real numbers to show the expressions are equivalent.
For all real numbers m and n, m(n + 1) = mn + 1.
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Question 15
15.
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Question 16
16.
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Question 17
17.
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Question 18
18.
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Question 19
19.
Vocabulary: Are the expressions equivalent? 5x + 1 and 1 + 5x
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Question 20
20.
Vocabulary: Are the expressions equivalent? 1 + (2t +1) and 2 + 2t
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Question 21
21.
Justify: The expression below is simplified, step-by-step, on the right.
Use a property from the left to justify each step.
Associative property (of multiplication)
Distributive property
Commutative property (of multiplication)
Multiply
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Question 22
22.
Sorting: Order the numbers from least to greatest (least on top, greatest on bottom).
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Question 23
23.
Arithmetic: Find the sum.
Write only a number, in simplest form.
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10
Question 24
24.
Arithmetic: Find the difference.
Write only a number, in simplest form.
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10
Question 25
25.
Vocabulary Review: Classify the expressions on the left.
2x + 3
27 + 2
52 - 7.5
-14.7
5a + 17b
⅔ + 5m2
Algebraic Expressions
Numerical Expressions
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10
Question 26
26.
Use Your Vocabulary: Match each statement on the left with the counterexample that shows it to be false.
If you live in Miami, you live in Florida.
If you live near an ocean, you live near the Atlantic Ocean.
If you live in North America, you live in the United States.
Mexico is in North America.
People in California live near the Pacific Ocean.
There is a city in Ohio named Miami.
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100
Question 27
27.
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.
