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Algebra 1 3-8 Guided Practice: Unions and Intersections of Sets

By Matt Richardson
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Last updated about 2 years ago
19 Questions
10
1.
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.

You may use the canvas as a resource but are required to enter a number in the response field.
A.CED.1
10
2.
Take Note: Define union (of two or more sets). You may use the canvas to help illustrate your definition.
10
3.
Take Note: Mathtype Pro-tip: The union symbol "⋃" can be created using the code "\cup" in most equation editors.

Try it out:
Type "\cup" and press enter to create a union symbol.
10
4.
Problem 1 Got It? Categorize each set on the left. Sets may be used more than once and each category on the right should contain one set.
  • { 2, 4}
  • {0, 1, 2, 3, 4}
  • P = {x|x is a whole number less than 5}
  • Q = {y|y is an even natural number less than 5}
  • P ⋃ Q
10
5.
Problem 1 Got It? Reasoning: What is true about the union of two distinct sets if one set is a subset of the other?
10
6.
Take Note: Define intersection (of two or more sets). You may use the canvas to help illustrate your definition.
10
7.
Take Note: Mathtype Pro-tip: The intersection symbol "∩" can be created using the code "\cap" in most equation editors.

Try it out:
Type "\cap" and press enter to create a intersection symbol.
10
8.
Take Note: Define disjoint sets. You may use the canvas to help illustrate your definition.
10
9.
Problem 2 Got It?
10
10.
Problem 2 Got It?
10
11.
Problem 2 Got It?
10
12.
Problem 3 Got It? Draw a Venn diagram to represent the union and intersection of the following 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}
10
13.
Problem 3 Got It?
10
14.
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.

The circle and text tools may be useful for this task. You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.
10
15.
Problem 4 Got It?
10
16.
Take Note: Categorize each item on the left as representing either the intersection of sets or the union of sets appropriately.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.
  • \cap
  • is similar to an or-type compound inequality
  • includes all the elements in the sets
  • \cup
  • is similar to an and-type compound inequality
  • includes only the elements in both/all of the sets
  • Intersection of sets
  • Union of sets
10
17.
Problem 5 Got It?
10
18.
Problem 5 Got It?
10
19.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?