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Algebra 1 1-4 Complete Lesson: Properties of Real Numbers

Last updated over 5 years ago

28 questions

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Question 1

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Question 2

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Question 3

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Question 4

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Question 5

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Question 6

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Question 13

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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.

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 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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Arithmetic: Find the sum.
Write only a number, in simplest form.

Question 24

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Arithmetic: Find the difference.
Write only a number, in simplest form.

Question 25

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Question 26

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Question 27

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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.

Question 28

28.

Reflection: Math Success

Solve It! Tell whether the pair of expressions is equal.

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Solve It! Tell whether the pair of expressions is equal.

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Solve It! Tell whether the pair of expressions is equal.

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Solve It! Tell whether the pair of expressions is equal.

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Solve It! Tell whether the pair of expressions is equal.

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Solve It! Tell whether the pair of expressions is equal.

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Question 7

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Question 8

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Question 9

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Question 10

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Question 11

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Question 12

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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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Vocabulary: Are the expressions equivalent? 5x + 1 and 1 + 5x

Yes

No

Vocabulary: Are the expressions equivalent? 1 + (2t +1) and 2 + 2t

Yes

No

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

Sorting: Order the numbers from least to greatest (least on top, greatest on bottom).

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

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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Problem 3 Got It?  

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Problem 3 Got It?  

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