Algebra 1 7-5 Complete Lesson: Rational Exponents and Radicals
By Matt Richardson
starstarstarstarstarstarstarstarstarstar
Last updated almost 3 years ago
45 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.
10 points
10
Question 1
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.
10 points
10
Question 2
2.
Problem 1 Got It?
N.RN.2
10 points
10
Question 3
3.
Problem 1 Got It?
N.RN.2
10 points
10
Question 4
4.
Problem 1 Got It?
N.RN.2
10 points
10
Question 5
5.
Problem 1 Got It?
N.RN.2
10 points
10
Question 6
6.
Problem 2 Got It?
N.RN.2
10 points
10
Question 7
7.
Problem 2 Got It?
N.RN.2
10 points
10
Question 8
8.
Problem 2 Got It?
N.RN.2
10 points
10
Question 9
9.
Problem 3 Got It?
N.RN.2
10 points
10
Question 10
10.
Problem 3 Got It?
N.RN.2
10 points
10
Question 11
11.
Problem 3 Got It?
N.RN.2
10 points
10
Question 12
12.
Problem 3 Got It?
N.RN.2
10 points
10
Question 13
13.
Problem 4 Got It?
N.RN.2
10 points
10
Question 14
14.
N.RN.2
10 points
10
Question 15
15.
N.RN.2
10 points
10
Question 16
16.
N.RN.2
10 points
10
Question 17
17.
N.RN.2
10 points
10
Question 18
18.
N.RN.2
10 points
10
Question 19
19.
N.RN.2
10 points
10
Question 20
20.
N.RN.2
10 points
10
Question 21
21.
Error Analysis: What is the error in the problem shown?
N.RN.2
10 points
10
Question 22
22.
What is the correct simplified form?
N.RN.2
20 points
20
Question 23
23.
Reasoning: Write a rule for multiplying two radicals with the same radicand. Justify why your rule works.
5 points
5
Question 24
24.
Reasoning: Is this equation true?
N.RN.2
15 points
15
5 points
5
Question 26
26.
Review Lesson 7-3: Simplify the expression.
5 points
5
Question 27
27.
Review Lesson 7-3: Simplify the expression.
5 points
5
Question 28
28.
Review Lesson 7-3: Simplify the expression.
5 points
5
Question 29
29.
Review Lesson 7-3: Simplify the expression.
N.RN.1
5 points
5
Question 30
30.
Review Lesson 7-3: Simplify the expression.
10 points
10
Question 31
31.
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)
10 points
10
Question 32
32.
Review Lesson 5-5: Is the equation in standard form? Explain.
10 points
10
Question 33
33.
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
5 points
5
Question 34
34.
Vocabulary Review: Simplify the square root expression.
5 points
5
Question 35
35.
Vocabulary Review: Simplify the square root expression.
5 points
5
Question 36
36.
Vocabulary Review: Simplify the square root expression.
Enter only a number.
5 points
5
Question 37
37.
Vocabulary Review: Identify the base and exponent in the exponential expression.
2
3
Exponent
5 points
5
Question 38
38.
Use Your Vocabulary: What is the index of the radical expression?
Enter only a number.
5 points
5
Question 39
39.
Use Your Vocabulary: What is the index of the radical expression?
Enter only a number.
5 points
5
Question 40
40.
Use Your Vocabulary: Find the cube of the number.
Enter only a number.
5 points
5
Question 41
41.
Use Your Vocabulary: Find the cube of the number.
Enter only a number.
5 points
5
Question 42
42.
Use Your Vocabulary: Find the cube of the number.
Enter only a number.
5 points
5
Question 43
43.
Use Your Vocabulary: Find the cube of the number.
Enter only a number.
100 points
100
Question 44
44.
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.
