Chapter 9 Algebra Worksheet With Answers - Montville Township Public Schools Page 12
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31Study Guide and Review - Chapter 9
Therefore, the solutions are 3 and 7.
2
21. 6x
− 13x = 15
SOLUTION:
Rewrite the equation in standard form.
2
− 13x – 15.
Graph the related function f (x) = 6x
The x-intercepts of the graph appear to be at 3 and between –1 and 0. So, one solution is 3.
CHECK: Check the solution in the original equation.
To find the second solution, make a table using an increment of 0.1 for the x-values located between –1 and 0. 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.
–0.9
–0.8
–0.7
x
y
1.56
–0.76
–2.96
x
–0.6
–0.5
–0.4
y
–5.04
–7
–8.84
x
–0.3
–0.2
–0.1
x
–10.56
–12.16
–13.64
The function value that is closest to zero when the sign changes is –0.76. Thus, the second root is approximately –
0.8. So, the solutions are about –0.8 and 3.
22. NUMBER THEORY Find two numbers that have a sum of 2 and a product of −15.
SOLUTION:
From the given information, write two equations. Let x and y represent the numbers.
x + y = 2
x • y = –15
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Solve the first equation for y.
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