Chapter 9 Algebra Worksheet With Answers - Montville Township Public Schools Page 10
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31Study Guide and Review - Chapter 9
Therefore, the solutions are
3 and 4.
–
2
19. x
+ 4x − 3 = 0
SOLUTION:
2
Graph the related function f (x) = x
+ 4x − 3.
The x-intercepts are located between –5 and –4 and between 0 and 1. Make a table using an increment of 0.1 for
the x-values located between –5 and –4 and between 0 and 1. Look for a change in the signs of the function values.
The function value that is closest to zero is the best approximation for a zero of the function.
x
–4.9
–4.8
–4.7
–4.6
–0.24
y
1.41
0.84
0.29
x
–4.4
–4.3
–4.2
–4.1
–1.24
–1.71
–2.16
–2.59
y
x
0.1
0.2
0.3
0.4
–2.59
–2.16
–1.71
–1.24
y
0.6
0.7
0.8
0.9
x
y
–0.24
0.29
0.84
1.41
For each table, the function value that is closest to zero when the sign changes is –0.24. Thus, the solutions are
approximately –4.6 and 0.6.
2
20. x
− 10x = −21
SOLUTION:
Rewrite the equation in standard form.
2
− 10x + 21.
Graph the related function f (x) = x
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Page 10
The x-intercepts of the graph appear to be at 3 and 7, so the solutions are 3 and 7.
CHECK: Check each solution in the original equation.
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