Algebra 1 7-2 Complete Lesson: Multiplying Powers With the Same Base

3.5 (2 ratings)

by Matthew Richardson

| 39 QuestionsNote 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.

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5 pts

Solve It! Scientists estimate the number of stars in the universe using this exponential expression.

The number of grains of sand in a cubic meter of beach sand can be approximated using this expression.

Suppose all of the sand from the world's beaches is combined into one large beach, as shown in the diagram. Are there more stars in the universe or grains of sand on the world's beaches?

Stars in the universe

Grains of sand on the world's beaches

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15 pts

Solve It! Explain your reasoning.

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3

10 pts

Problem 1 Got It?

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10 pts

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5

10 pts

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6

10 pts

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7

10 pts

Problem 2 Got It?

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8

10 pts

Problem 2 Got It?

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10 pts

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10

10 pts

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10 pts

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10 pts

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10 pts

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10 pts

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10 pts

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10 pts

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10 pts

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10 pts

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10 pts

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10 pts

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10 pts

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10 pts

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10 pts

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10 pts

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10 pts

Writing: Can the expression be written as a single power? Explain your reasoning.

No; Since x and y are different bases, the expression can not be written as a single power.

Yes;

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5 pts

Reasoning: Suppose that the expressions here represent two numbers in scientific notation.

Is their product, expressed below, always, sometimes, or never a number in scientific notation?

Always

Sometimes

Never

28

10 pts

Error Analysis: Your friend makes this statement.

Explain your firend's error. What is the correct answer?

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10 pts

Review Lesson 6-3: Solve the system. Use graphing, substitution, or elimination.

If a single solution exists, write the solution in exactly this format: "(5, -2)". Otherwise, write "No solution" or "Infinitely many solutions" to classify the system.

30

10 pts

Review Lesson 6-3: Solve the system. Use graphing, substitution, or elimination.

If a single solution exists, write the solution in exactly this format: "(5, -2)". Otherwise, write "No solution" or "Infinitely many solutions" to classify the system.

31

10 pts

Review Lesson 6-3: Solve the system. Use graphing, substitution, or elimination.

If a single solution exists, write the solution in exactly this format: "(5, -2)". Otherwise, write "No solution" or "Infinitely many solutions" to classify the system.

32

10 pts

Review Lesson 4-7: Find the third, seventh, and tenth terms of the sequence described by the rule.

10, 26, 46

18, 34, 46

14, 18, 22

3, 14, 25

33

10 pts

Review Lesson 7-1: Simplify the expression.

1/16

8

-1/8

-16

34

10 pts

Review Lesson 7-1: Simplify the expression.

5xy

1

5x

xy

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10 pts

Review Lesson 7-1: Simplify the expression.

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10 pts

Vocabulary Review: Identify and categorize the bases and exponents from the expressions below.

- n
- -5
- -3
- 4
- 5
- 8

- Bases
- Exponents

37

10 pts

Use Your Vocabulary: Categorize each expression based on whether or not it can be written as repeated multiplication.

- Can be written as repeated multiplication
- CANNOT be written as repeated multiplication

38

100 pts

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.

39

10 pts

Reflection: Math Success

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