Chapter 8 Worksheet With Answers - Montville Township Public Schools Page 19
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38Study Guide and Review - Chapter 8
The solutions are –6 and 8.
2
54. x
+ 11x + 10 = 0
SOLUTION:
The roots are –10 and –1. Check by substituting –10 and –1 in for x in the original equation.
and
The solutions are –10 and –1.
55. ART An artist is working on a painting that is 3 inches longer than it is wide. The area of the painting is 154 square
inches. What is the length of the painting?
SOLUTION:
Let x = the width of the painting. Then, x + 3 = the length of the painting.
Because a painting cannot have a negative dimension, the width is 11 inches and the length is 11 + 3, or 14 inches.
Factor each trinomial, if possible. If the trinomial cannot be factored, write prime .
2
56. 12x
+ 22x − 14
SOLUTION:
In this trinomial, a = 12, b = 22 and c = –14, so m + p is positive and mp is negative. Therefore, m and p must have
different signs. List the factors of 12(–14) or –168 and identify the factors with a sum of 22.
Factors of –168
Sum
–2, 84
82
2, –84
–82
–3, 56
53
3, –56
–53
–4, 42
38
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Page 19
4, –42
–38
–6, 28
22
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