Algebra Problem Set
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AdvancedAlgebraModuleProblemSet.docxAdvanced Algebra Module Problem Set
1. Mary can paint a house by herself in 12 hours. John can paint a house by himself in 16 hours. How long would it take them to paint the house if they worked together? Show all of your work and thinking.
2. Perform the indicated operations, then simplify. Show all your work.
+ -
3. The formula for the volume of a pyramid is V = Bh , where B is the area of the base and h is the height. Rearrange the formula to solve for the height (h). Show all your steps/work.
4. a. Simplify: Show all of your work.
b. Use the Quadratic Formula to solve the equation x2 – 4x = -7.
Show all of your work as well as the solutions
5. a. Solve the equation: Show all of your work/steps.
b. Solve the equation: Show all of your work/steps.
6. Solve the equation: = 3 Show all of your work/steps.
Advanced Algebra Problem Set
1. Graph f(x) = -2x – 3
2. Use the quotient property to rewrite log10( ).
3. Find the x-intercept and the y-intercept of -3x + 5y = 30. Show your work.
4. Match the function in the 1st column to the Domain in the 2nd column.
|
FUNCTION (A-D) |
Domain (a-d) |
|
A. { (-2, 7), (3, 0), (0, -4), (5, -5)} |
a. Real Numbers such that -3 < x < 3 |
|
B. f(x) = 4-3x |
b. Domain is all Real Numbers except x = 4. |
|
C. = y |
c. Range ( -2, 3, 0, 5) |
|
D. f(x) = |
d. Domain is all Real Numbers |
5. (g o f)(x) means g(f(x))
Find ( g o f)(3) if f(x) = -4x + 2 and g(x) = . Show your steps/work.
6. Rationalize the denominator:
