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Algebra Questions

Problem 19
Find the correct graph.

Problem 20

Problem 29

Problem 30

Problem 42

Problem 47
Different interest rates. Mrs. Brighton invested \$30,000 and received a total of 2,300 in interested. If she invested part of the money at 10% and the remainder at 5%, then how much did she invest at each rate?

Problem 41
Nickels and Dimes. Winborne has 35 coins consisting of dimes and nickels. If the value of his coins is \$3.30, then how many of each type does he have?

Problem 18 Graph each system of inequalities
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Problem 39 Graph

Solution Preview

Please see the attached documents for a better formatted solution.

1)As a general rule, always re-write the equations in slope intercept form before graphing, so that you have the equations in the form y = mx + b

2) Usually 5 points would be enough to graph, so create a table with any 5 x values, and solve for y. To be able to see a full picture of the graph, choose 2 negative values for x, x = 0, and 2 positive values

3) Graph the equations

Problem 19
Find the correct graph.

4x -5y = 2

4x = 2 + 5y

4x - 2 = 5y

3y - x = -3

3y = x -3

x y y
-10 -8.4 -4.33333
-5 -4.4 -2.66667
0 -0.4 -1
5 3.6 0.666667
10 7.6 2.333333

Problem 20

4x + 5y = -2

5y = -2 - 4x

4y - x = 11

4y = 11 + x

...

Solution Summary

The solution includes a word document and an excel sheet that show step by step how to derive equations from word problems, finding the solution to a system of equations and a system of inequalities.

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