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Math 169 (Fifth Edition): Test for Chapter 5
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1.
Multiply:
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2.
Multiply:
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3.
Multiply:
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4.
Multiply:
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5.
Multiply:
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6.
Multiply:
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7.
Multiply:
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8.
Multiply:
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9.
Factor completely:
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10.
Factor completely:
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11.
Factor completely:
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12.
Factor completely:
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13.
Factor completely:
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14.
Factor completely:
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15.
Factor completely:
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16.
Factor completely:
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17.
Find the middle term (
m
) for which is a perfect square trinomial.
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18.
Find the value of the third term (
k
) for which is a perfect square trinomial.
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19.
Convert the binomial to a perfect square trinomial by adding the proper constant. Then factor the resulting trinomial into the square of a binomial.
Write your answer in the form:
(x+a)
2
.
For the following problems, express your answer as a rational number or as an approximation rounded to four decimal places.
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20.
Solve by factoring:
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21.
Solve by factoring:
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22.
Solve by factoring:
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23.
Solve by factoring:
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24.
Solve by factoring:
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25.
Solve by factoring:
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26.
Solve:
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27.
Solve:
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28.
Solve:
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29.
Find the value of the
discriminant
for
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30.
Based on the value of the
discriminant
for
how many different, real, solutions are there for the equation?
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31.
Find the value of the
discriminant
for
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32.
Based on the value of the
discriminant
for
how many different, real, solutions are there for the equation?
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33.
Find the value of the
discriminant
for
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34.
Based on the value of the
discriminant
for
how many different, real, solutions are there for the equation?
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35.
Solve
and express the answer in
set-builder notation
.
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36.
Solve
and express the answer in
set-builder notation
.
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37.
Solve
and express the answer in
set-builder notation
.
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38.
Solve
and express the answer in
interval notation
.
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39.
Solve
and express the answer in
interval notation
.
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40.
Solve
and express the answer in
interval notation
.
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©Roger M. Palay
Saline, MI 48176
October, 1999