1) The document contains 12 math word problems ranging from solving equations, graphing functions, and solving systems of equations. Problems 1-8 involve solving various equations, problem 9 asks to set up and solve a system of equations, problem 10 asks to solve a word problem involving setting up and solving a system of equations, and problems 11-12 ask about horizontal parabolas and hyperbolas respectively but provide no specific questions.
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123c test 4 review b
1. Math 123c Test 4 Show all work. (10 pt. each)
1. Solve log x(9) = 1/3 for x. .
3. Solve log4 (5) log4 (x 1) = 3 4. Solve 92x * 32x 1 = 27 without a calculator.
without the calculator.
5. Draw the circle x 2 + y 2 6x + 8y = 9. Label the center and the highest, lowest, left most and right most
points.
6. Draw the ellipse 4x2 16x + y2 + 4y = 4, find the center, draw the graph and label the highest, lowest, left
most and right most points.
7. Solve the following system of equations
3X + 2Y = 1
2X + 3Y = 1
8. Solve
2X + Y + 4Z = 11
X + 2Y + 2Z = 7
3X 3Y 2Z = -4
9. We have 50 bills in $1s, $5s and $10s. There are 4 more $10bills than the $5bills. Their total value is
$346. How many of each do we have? (Set up a system of equations and solve the system)
10. Therere three brand of fertilizers A, B, and C. Following is a table of the amount of nitrogen, phosphorus,
and potassium in a box of each brand (in lb). How many boxes of each brand are needed in order to make a
mixture that contains 6 lb of nitrogen, 6 lb of phosphorus and 7 lb of potassium?
Brand A B C
N 1 2 2
P 2 1 2
K 2 2 1
11. Horizontal parabolas
12. Hyperbolas