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.

1

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.

2

2

10 pts

Problem 1 Got It?

A

B

C

D

3

3

10 pts

Problem 1 Got It?

A

B

C

D

4

4

10 pts

Problem 1 Got It?

A

B

C

D

5

5

10 pts

Problem 1 Got It?

A

B

C

D

6

6

10 pts

Problem 2 Got It?

A

B

C

D

7

7

10 pts

Problem 2 Got It?

A

B

C

D

8

8

10 pts

Problem 2 Got It?

A

B

C

D

9

9

10 pts

Problem 3 Got It?

A

B

C

D

10

10

10 pts

Problem 3 Got It?

A

B

C

D

11

11

10 pts

Problem 3 Got It?

A

B

C

D

12

12

10 pts

Problem 3 Got It?

A

B

C

D

13

13

10 pts

Problem 4 Got It?

A

B

C

D

14

14

10 pts

A

B

C

D

15

15

10 pts

A

B

C

D

16

16

10 pts

A

B

C

D

17

17

10 pts

A

B

C

D

18

18

10 pts

A

B

C

D

19

19

10 pts

A

B

C

D

20

20

10 pts

A

B

C

D

21

22

21

10 pts

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

22

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.

29

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.

33

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

-10

The expression can not be simplified using real numbers.

35

5 pts

Vocabulary Review: Simplify the square root expression.

The expression can not be simplified using real numbers.

8

4

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

Add to my formatives list

Formative uses cookies to allow us to better understand how the site is used. By continuing to use this site, you consent to the Terms of Service and Privacy Policy.