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Algebra 1 7-5 Rational Exponents and Radicals

4.5 (1 rating)

| 43 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.

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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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Problem 1 Got It?

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Problem 1 Got It?

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Problem 1 Got It?

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Problem 2 Got It?

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Problem 2 Got It?

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Problem 2 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 4 Got It?

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21

10 pts

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

22

20 pts

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

23

5 pts

Reasoning: Is this equation true?

No, it is false.

Yes, it is true.

25

5 pts

Review Lesson 7-3: Simplify the expression.

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.

29

5 pts

Review Lesson 7-3: Simplify the expression.

30

10 pts

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

- 5x + 3y = 21Answer by dragging items here
- y = -7x + 1Answer by dragging items here
- x = 5 + 3yAnswer by dragging items here
- y = -9(x + 2)Answer by dragging items here

31

10 pts

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

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

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.

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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.

- -2x + y = -13Answer by dragging items here
- x - 6y = 3Answer by dragging items here
- -4x + y = 7Answer by dragging items here
- 4x + 2y = 8Answer by dragging items here

33

5 pts

Vocabulary Review: Simplify the square root expression.

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The expression can not be simplified using real numbers.

34

5 pts

Vocabulary Review: Simplify the square root expression.

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The expression can not be simplified using real numbers.

35

5 pts

Vocabulary Review: Simplify the square root expression.

Enter only a number.

36

5 pts

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

- Answer by dragging items here
- ExponentAnswer by dragging items here

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5 pts

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

Enter only a number.

38

5 pts

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

Enter only a number.

39

5 pts

Use Your Vocabulary: Find the cube of the number.

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

10 pts

Reflection: Math Success

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