Simplifying Radical Expressions Worksheet With Answers Page 37
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38SOLUTION:
10-2 Simplifying Radical Expressions
4
4
80. 32x
− 2y
SOLUTION:
2
81. 4t
− 27
SOLUTION:
In this trinomial, a = 4, b = 0 and c = –27, so m + p is zero and mp is negative. Therefore, m and p must be opposite
signs. List the factors of 4(–27) or –108 with a sum of 0.
Factors of –108
Sum of 0
1, –108
–107
–1, 108
107
2, –52
–50
–2, 52
50
3, –36
–33
–3, 36
33
4, –27
–23
–4, 27
23
6, –18
–12
–6, 18
12
9, –12
–3
–9, 12
3
2
There are no factors of –108 with a sum of 0, so 4t
− 27 is prime.
3
2
82. x
− 3x
− 9x + 27
SOLUTION:
83. POPULATION The country of Latvia has been experiencing a 1.1% annual decrease in population. In 2009, its
population was 2,261,294. If the trend continues, predict Latvia’s population in 2019.
SOLUTION:
Use the equation for exponential decay, with a = 2,261,294, r = 0.011, and t =10.
Latvia’s population in 2019 will be about 2,024,510 people.
84. TOMATOES There are more than 10,000 varieties of tomatoes. One seed company produces seed packages for
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Page 37
200 varieties of tomatoes. For how many varieties do they not provide seeds?
SOLUTION:
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