1
Math 105 Review for Exam 1
1.
There are G gallons of antifreeze in a container. If
3
1
of the antifreeze in the container is poured
out and then another 1
2
1
gallons are poured out, then how much antifreeze is left in the
container? Write a formula in terms of G. Then evaluate your formula when G = 4. [See Section
13.1, Practice Problems 9 – 12 and Class Activities 13G, 13H, and 13I.]
2.
Abby had A cards in her card collection. After Abby gave away
4
1
of her collection she got
another 12 cards. Then Abby gave away
3
1
of her cards. Write an expression in terms of A for
the number of cards that Abby has now. [See Section 13.1, Practice Problems 9 – 12 and Class
Activities 13G, 13H, and 13I.]
3.
Bob had B marbles in his marble collection. After Bob got another 15 marbles, he gives away
5
1
of his marbles. Then Bob has 32 marbles. Write an equation, involving B, that corresponds to this
situation. [See Section 13.1, Practice Problems 9 – 12 and Class Activities 13G, 13H, and 13I.]
4.
There are 1
2
1
times as many girls as boys in a club. Write an equation that corresponds to this
situation and uses G for the number of girls and B for the number of boys in the club. [See
Section 13.1, Practice Problem 13 and Class Activity 13H.]
5.
Create story problems for each of the following expressions or equations and solve for
x
:
a.
30
5
4
N
b.
)
30
(
5
4
N
c.
100
20
3
1
x
d.
100
)
20
(
3
1
x
e.
150
30
3
2
x
f.
150
)
30
(
3
2
x
g.
24
4
3
2
1
3
2
x
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h.
24
4
1
2
1
3
1
x
6.
April spent
9
4
of her money. She has $20 left. How much money did she have at first? Solve this
problem in two ways: with the aid of a diagram and with equations. Explain your reasoning. [See
Section 13.2, Practice Problems 3 – 5 and Class Activity 13M.]
7.
Mr. Smith gave
5
3
of his money to his wife and spent
4
1
of the remainder. If he has $150 left,
how much money did he have at first? Solve this problem in two ways: with the aid of a diagram
and with equations. Explain your reasoning.[See Section 13.2, Practice Problems 3 – 5 and Class
Activity 13M.]
8.
Bob had a marble collection. After Bob got another 15 marbles, he gives away 1 5 of his marbles.
Then Bob has 32 marbles. How many marbles did Bob have at first? Solve this problem and
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 '10
 Gupta,Shweta
 Math, Topology, Arithmetic progression, Geometric progression, Class Activity, Class Activities

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