Download Name: Period: Date: Review Packet for Venn Diagrams, Solving

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Review Packet for Venn Diagrams, Solving Equations and Proportions
7.2-Venn Diagram:
#1) The diagram shows a Venn diagram for sets A and B.  Group #1
Set A: factors of 9
Set B: factors of 12
Based on the Venn diagram…
1. …what set represents set A?
2. …what set represents AÈ B ?
3. …what set represents AÇ B ?
4. …how many elements are in the set ~ A ?
5. …what percent of the factors of 12 are also factors of 9?
6. …what set represents (AÇ B)'?
7. …which statement is NOT true?
a. The number 9 is a factor of 12.
b. The number 2 is a factor of 12.
c. The numbers 1 and 3 are factors of both 9 and 12.
d. The number 12 has more factors than 9.
#2- The Venn diagram below shows the number of students who chose to participate in each of the three sports
offered at Sports Camp.  Group # 1 and 2
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Period:
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Based on the diagram…
1. …what is the total number of students who chose to participate in volleyball?
2. …what is the total number of students who chose to participate in soccer or basketball?
3. …how many students were surveyed?
4. …how many students participated in basketball and volleyball?
5. …how many students participated in basketball and volleyball, but did NOT participate in soccer?
6. …how many students participated in all three sports?
7. …how many students participated in EXACTLY one sport?
8. …how many students participated in EXACTLY two sports?
9. …how many students participated in at least two sports?
10. …how many students participated on less than three sports?
11. …how many students did NOT participate in basketball?
12. …how many students did NOT participate in basketball or volleyball?
13. …how many students did NOT participate in any of the sports?
14. …what percentage of students that participated in basketball also participated in more than one sport?
15. …which statement is NOT true?
a. The total number of students that played volleyball is 27.
b. The total number of students that played only one sport is 38.
c. More than half of the students that played basketball also played two or three sports.
d. The total number of students that played EXACTLY two sports is 24.
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#3- The universal set contains only sets R, S, and T. These sets are related as shown in the Venn diagram
below.  Group 2 and 3
Based on the diagram…
1. …which set represents set R?
2. …which set represents the union of sets R and S?
3. …which set represents RÈS ÈT ?
4. …how many elements are in the set RÇT ?
5. …which set represents (RÇ S)ÈT ' ?
6. …which set represents RÇS ÇT ?
7. …which set represents S ' ?
8. …which set represents ~ (RÈT ) ?
9. …how many elements are in the set (RÈ S ÈT )' ?
10. …which set represents (~ RÇS)È(~ T ÇS)?
11. …which statement is true?
a. The complement of set T contains 6 elements.
b. The intersection of sets R, S, and T contains element “j”
c. The union of sets S and T contains 3 elements.
d. The complement of set R contains element “j”
3.1- Solving Equations: Group 1, 2 and 3
1.) Solve the equation for x. 7 x  2  9x  3  4x
2.) Solve the following equation for x.  4( x  10)  6  3( x  2)
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3.) At Genesee High School, there are a total of 1,424 students. The sophomore class has 60 more students than
the freshman class. The junior class has 50 fewer students than twice the students in the freshman class. The
senior class is three times as large as the freshman class. The equation below represents this situation, where f
is the number of students in the freshman class.
f + ( f + 60)+ (2 f - 50)+ 3 f =1424
How many students are in the junior class?
4.) When solving the equation, what property was used to go from Step 2 to Step 3?
Step 1: -(2x + 3) = x - 18
Step 2: -2x - 3 = x - 18
Step 3: -3 = 3x – 18
A.
B.
C.
D.
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
5.4-Proportions:
1. In a box of hot chocolate, 3 scoops of powder contain 50 calories and will make one serving of 6 fluid
ounces. Heidi used the proportion below to determine the number of calories that are in a fifteen-ounce serving
of hot chocolate.
6 50
=
15 x
What is the value of x?  Group 1
2. The average speed of a high-speed train in Japan is 162 miles per hour. At this rate, how many miles would a
high-speed train travel in 45 minutes?  Group 1 and 2
3. The ratio of boys to girls in a class is 2:3. If there are 18 girls in the class, how many boys are there? 
Group 2 and 3
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4. What is the solution of the equation below?  Group 1, 2 and 3
2
3
=
x -14 4x
5. Jennifer made similar models of a car, with dimensions, in inches, as shown in the diagram below.
What is the value, in inches, of x?  Group 1, 2 and 3