Chapter 9 Algebra Worksheet With Answers - Montville Township Public Schools Page 24
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31Study Guide and Review - Chapter 9
The solutions are 1.5 and –2.5.
44. GEOMETRY The area of a square can be quadrupled by increasing the side length and width by 4 inches. What is
the side length?
SOLUTION:
2
If x = the original side length, then the area of the square = x
. If x is increased by 4, the area of the square is
quadrupled. Write an equation to represent the new area of the square.
For this equation, a = –3, b = 8, and c = 16.
Because the side length cannot be negative, the solution is 4. So, the side length of the square is 4 inches.
Look for a pattern in each table of values to determine which kind of model best describes the data.
Then write an equation for the function that models the data.
45.
SOLUTION:
First differences:
Second differences:
Since the second differences are equal, a quadratic function models the data.
2
Write an equation for the function that models the data. The equation has the form y = ax
. Use the ordered pair (1,
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Page 24
3) to find the value of a.
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