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Algebra 1 3-8 Unions and Intersections of Sets
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5 (1 rating)
by Matthew Richardson
| 34 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.
The outlined content above was added from outside of Formative.
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1
10 pts
Solve It! Fifty students were polled about their after-school activities. All said that they participate in one or more of three clubs: the Robotics Club (RC), the Student Council (SC), and the Theater Club (TC). How many students participate in the theater club only?
Enter only a number.
2
10 pts
Problem 1 Got It? Match each set. Sets may be used more than once.
• P = {x|x is a whole number less than 5}
• Q = {y|y is an even natural number less than 5}
• P υ Q
3
10 pts
Problem 1 Got It? Reasoning: What is true about the union of two distinct sets if one set is a subset of the other?
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4
10 pts
Problem 2 Got It?
A
B
C
D
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5
10 pts
Problem 2 Got It?
A
B
C
D
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6
10 pts
Problem 2 Got It?
A
B
C
D
7
10 pts
Problem 3 Got It? Draw a Venn diagram to represent the union and intersection of the sets.

A = {x|x is one of the first five letters in the English alphabet}
B = {x|x is a vowel}
C = {x|x is a letter in the word VEGETABLE}
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8
10 pts
Problem 3 Got It?
A
B
C
D
9
10 pts
Problem 4 Got It? Draw a Venn diagram to represent the scenario.

Of 30 students in student government, 20 are honor students and 9 are officers and honor students. All of the students are officers, honor students, or both.
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10
10 pts
Problem 4 Got It?
A
B
C
D
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11
10 pts
Problem 5 Got It?
A
B
C
D
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12
10 pts
Problem 5 Got It?
A
B
C
D
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13
10 pts
A
B
C
D
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14
10 pts
A
B
C
D
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15
10 pts
A
B
C
D
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16
10 pts
A
B
C
D
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17
10 pts
A
B
C
D
18
10 pts
Vocabulary: Suppose A and B are nonempty sets. Which contains more elements: AB or AB? Explain your reasoning.
19
10 pts
Compare and Contrast: How are unions and intersections of sets different?
20
5 pts
True or False: If x is an element of set A and x is not an element of set B, then x is an element of AB.
True
False
21
5 pts
True or False: If x is an element of set A and x is an element of set B, then x is an element of AB.
True
False
22
10 pts
Complete the Venn diagram using sets A and B. A = {1, 3, 5, 7, 9} B = {2, 3, 4, 5}
23
10 pts
Review Lesson 3-7: Solve the equation.

x = ±2
x = ±5
x = ±3
x = ±4
24
10 pts
Review Lesson 3-7: Solve the equation.

n = ±3
n = ±4
n = ±5
n = ±2
25
10 pts
Review Lesson 3-7: Solve the equation.

f = 2, 8
f = 3, -5
f = 5, 7
f = 4, 5
26
10 pts
Review Lesson 3-7: Solve the inequality.

-4 < g < 4
g ≤ -4 or g ≥ 4
g < -4 or g > 4
-4 ≤ g ≤ 4
27
10 pts
Review Lesson 3-7: Solve the inequality.

-5 < d < 5
d ≤ -5 or d ≥ 5
-5 ≤ d ≤ 5
d < -5 or d > 5
28
10 pts
Review Lesson 1-9: Categorize each ordered pair. Order ordered pairs may be used more than once.
• Solution of x + 3 = y
• Solution of 2x - 5 = y
• Solution of 0.5x + 7 = y
• Not a solution of any of these equations
29
20 pts
Review Graphing Ordered Pairs: Graph each point on the same coordinate grid.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, and label points, as appropriate.
30
10 pts
Vocabulary Review: Populate each set with its elements. Not all elements will be used.
• whole numbers less than 4
• even numbers between 1 and 9
• odd numbers between 3 and 7, inclusive
31
5 pts
Use Your Vocabulary: Is the set {apple, banana, cheese, milk, pear, yogurt} the union or intersection of the sets D and F below?

D = {cheese, milk, yogurt}
F = {apple, banana, pear}
intersection
union
32
5 pts
Use Your Vocabulary: Is the set {cheese} the union or intersection of the sets D and M below?
D = {cheese, milk, yogurt}
F = {apple, banana, pear}
union
intersection
33
5 pts
Use Your Vocabulary: Is the empty set the union or intersection of the sets F and M below?
D = {cheese, milk, yogurt}
F = {apple, banana, pear}