Algebra 1 7-5 Complete Lesson: Rational Exponents and Radicals

4.5 (1 rating)

by Matthew Richardson

| 45 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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1

10 pts

Solve It! The figure is made up of squares. The side of a larger square is bisected by the vertices of the square that is one size smaller. What are the values of a, b, and c? Hint: The hypotenuse of an isosceles right triangle equals the smaller side times the square root of 2.

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10 pts

Problem 1 Got It?

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3

10 pts

Problem 1 Got It?

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10 pts

Problem 1 Got It?

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5

10 pts

Problem 1 Got It?

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6

10 pts

Problem 2 Got It?

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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

Problem 3 Got It?

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10

10 pts

Problem 3 Got It?

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10 pts

Problem 3 Got It?

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12

10 pts

Problem 3 Got It?

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10 pts

Problem 4 Got It?

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20

10 pts

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21

10 pts

Error Analysis: What is the error in the problem shown?

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10 pts

What is the correct simplified form?

23

20 pts

Reasoning: Write a rule for multiplying two radicals with the same radicand. Justify why your rule works.

24

5 pts

Reasoning: Is this equation true?

No, it is false.

Yes, it is true.

26

5 pts

Review Lesson 7-3: Simplify the expression.

27

5 pts

Review Lesson 7-3: Simplify the expression.

28

5 pts

Review Lesson 7-3: Simplify the expression.

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5 pts

Review Lesson 7-3: Simplify the expression.

30

5 pts

Review Lesson 7-3: Simplify the expression.

31

10 pts

Review Lesson 5-5: Identify the form of each equation.

- slope-intercept form
- point-slope form
- standard form
- none of these

- 5x + 3y = 21
- y = -7x + 1
- x = 5 + 3y
- y = -9(x + 2)

32

10 pts

Review Lesson 5-5: Is the equation in standard form? Explain.

Yes, the equation is in standard form. It is in the form Ax + By = C, A, B, and C are real numbers, and A and B are not both zero.

No, the equation is not in standard form. Standard form is y = mx + b.

No, the equation is not in standard form. -2 is not a real number.

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10 pts

Review Lesson 5-5: Match each equation from the left column with its equivalent standard form equation in the right column.

- y = 4x + 7
- y + 3 = 2(x - 5)
- x = 6y + 3
- 2y + 4x = 8

- -2x + y = -13
- x - 6y = 3
- -4x + y = 7
- 4x + 2y = 8

34

5 pts

Vocabulary Review: Simplify the square root expression.

-10

The expression can not be simplified using real numbers.

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35

5 pts

Vocabulary Review: Simplify the square root expression.

8

4

The expression can not be simplified using real numbers.

36

5 pts

Vocabulary Review: Simplify the square root expression.

Enter only a number.

37

5 pts

Vocabulary Review: Identify the base and exponent in the exponential expression.

- 2
- 3

- Exponent

38

5 pts

Use Your Vocabulary: What is the index of the radical expression?

Enter only a number.

39

5 pts

Use Your Vocabulary: What is the index of the radical expression?

Enter only a number.

40

5 pts

Use Your Vocabulary: Find the cube of the number.

Enter only a number.

41

5 pts

Use Your Vocabulary: Find the cube of the number.

Enter only a number.

42

5 pts

Use Your Vocabulary: Find the cube of the number.

Enter only a number.

43

5 pts

Use Your Vocabulary: Find the cube of the number.

Enter only a number.

44

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.

45

10 pts

Reflection: Math Success

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