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Algebra 1 3-8 Unions and Intersections of Sets

5 (1 rating)

| 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.

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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}Answer by dragging items here
- Q = {y|y is an even natural number less than 5}Answer by dragging items here
- P υ QAnswer by dragging items here

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: A ∪ B or A ∩ B? 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 A ∪ B.

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 A ∩ B.

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 = yAnswer by dragging items here
- Solution of 2x - 5 = yAnswer by dragging items here
- Solution of 0.5x + 7 = yAnswer by dragging items here
- Not a solution of any of these equationsAnswer by dragging items here

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 4Answer by dragging items here
- even numbers between 1 and 9Answer by dragging items here
- odd numbers between 3 and 7, inclusiveAnswer by dragging items here

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}

M = {bread, cheese, egg}

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}

M = {bread, cheese, egg}

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}

M = {bread, cheese, egg}

union

intersection

34

10 pts

Reflection: Math Success

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