Algebra 1 7-5 Guided Practice: Rational Exponents and Radicals

Last updated almost 4 years ago

19 questions

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Algebra 1 7-5 Guided Practice: Rational Exponents and Radicals

Last updated almost 4 years ago

19 questions

Question 2

Take Note

index

radicand

radical sign

Question 6

Problem 1 Got It?

A

B

C

D

Question 7

Problem 1 Got It?

A

B

C

D

Question 8

Problem 1 Got It?

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D

Question 9

Problem 1 Got It?

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D

Question 11

11.

Problem 2 Got It?

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D

Question 12

12.

Problem 2 Got It?

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D

Question 13

13.

Problem 2 Got It?

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C

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Question 14

14.

Problem 3 Got It?

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D

Question 15

15.

Problem 3 Got It?

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Question 16

16.

Problem 3 Got It?

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Question 17

17.

Problem 3 Got It?

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Question 18

18.

Problem 4 Got It?

A

B

C

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Question 19

19.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Question 1

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.

a=8\sqrt{2} \\ b=8 \\ c=4\sqrt{2}

a=4\sqrt{2} \\ b=4 \\ c=2\sqrt{2}

a=14\sqrt{2} \\ b=14 \\ c=14\sqrt{2}

Question 2

Take Note

index

radicand

radical sign

Question 3

Take Note

index

radicand

radical sign

Question 4

Take Note

index

radicand

radical sign

Question 5

Take Note: Which of the following are equivalent to \sqrt[4]{2^{5}}? Select all that apply.

2^4

(2\cdot 2\cdot 2\cdot 2\cdot 2)^\frac{1}{4}

2^\frac{5}{4}

2^\frac{4}{5}

4^10

(2^5)^\frac{1}{4}

\sqrt[4]{(2\cdot 2\cdot 2\cdot 2\cdot 2)}

Question 6

Problem 1 Got It?

A

B

C

D

Question 7

Problem 1 Got It?

A

B

C

D

Question 8

Problem 1 Got It?

A

B

C

D

Question 9

Problem 1 Got It?

A

B

C

D

Question 10

10.

Take Note: Which of the following are equivalent to 5^\frac{2}{3}? Select all that apply.

\sqrt[2]{5^{3}}

25^\frac{1}{3}

\sqrt[3]{5^{2}}

\sqrt[3]{25}

\sqrt[3]{5\cdot 5}

\sqrt{125}

(5\cdot 5)^\frac{1}{3}

Question 11

11.

Problem 2 Got It?

A

B

C

D

Question 12

12.

Problem 2 Got It?

A

B

C

D

Question 13

13.

Problem 2 Got It?

A

B

C

D

Question 14

14.

Problem 3 Got It?

A

B

C

D

Question 15

15.

Problem 3 Got It?

A

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C

D

Question 16

16.

Problem 3 Got It?

A

B

C

D

Question 17

17.

Problem 3 Got It?

A

B

C

D

Question 18

18.

Problem 4 Got It?

A

B

C

D

Question 19

19.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Question 1

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.

a=8\sqrt{2} \\ b=8 \\ c=4\sqrt{2}

a=4\sqrt{2} \\ b=4 \\ c=2\sqrt{2}

a=14\sqrt{2} \\ b=14 \\ c=14\sqrt{2}

Question 3

Take Note

index

radicand

radical sign

Question 4

Take Note

index

radicand

radical sign

Question 5

Take Note: Which of the following are equivalent to \sqrt[4]{2^{5}}? Select all that apply.

2^4

(2\cdot 2\cdot 2\cdot 2\cdot 2)^\frac{1}{4}

2^\frac{5}{4}

2^\frac{4}{5}

4^10

(2^5)^\frac{1}{4}

\sqrt[4]{(2\cdot 2\cdot 2\cdot 2\cdot 2)}

Question 10

10.

Take Note: Which of the following are equivalent to 5^\frac{2}{3}? Select all that apply.

\sqrt[2]{5^{3}}

25^\frac{1}{3}

\sqrt[3]{5^{2}}

\sqrt[3]{25}

\sqrt[3]{5\cdot 5}

\sqrt{125}

(5\cdot 5)^\frac{1}{3}

Algebra 1 7-5 Guided Practice: Rational Exponents and Radicals

Algebra 1 7-5 Guided Practice: Rational Exponents and Radicals

Take Note

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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.

Take Note

Take Note

Take Note

Take Note: Which of the following are equivalent to \sqrt[4]{2^{5}}? Select all that apply.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Take Note: Which of the following are equivalent to 5^\frac{2}{3}? Select all that apply.

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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.

Take Note

Take Note

Take Note: Which of the following are equivalent to \sqrt[4]{2^{5}}? Select all that apply.

Take Note: Which of the following are equivalent to 5^\frac{2}{3}? Select all that apply.

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.

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.