Download Take Home Assignment #1

Take Home Assignment #1
Do all of your work on the Worksheet provided to you by your instructor! Show work or
you will lose LOTS of points!
F2 x y z I
G
H4 x yz J
K
3
1. (P2) Simplify
3
2
2
2
3
3
2. (P2) Simplify
24 3
3. (P3) Find the area of the shaded region. Write your result as a polynomial in standard
form.
3x + 5
5–x
2x
x
4. (P3) Multiply
e8x
2
2
j
3
5. (P4) Factor completely
2 x 3  3x 2  8x  12
6. (P4) Factor completely
8x 2  4 x  24
7. (P4) Factor completely
16x 3  54 y 6
8. (P5) Divide
9. (P5) Subtract
2 x 2  5x  3
2 x 2  11x  5
2
x  x2
2


x 3  9x
x 4  2 x 3  15x 2
10
x  2x  8
2
10. (1.1) Write the standard form of the equation of a circle that has endpoints of a
diameter 12
, and 7,4
b g bg
11. (1.1) Copy the following graph on to your worksheet and then complete it so that it
has origin symmetry.
b g b g
1
3
12. (1.2) Solve 3 x  2  5 2 3  x  1  x  2
13. (1.2) Solve
3
4
1


x  3 x2  x  6
x2
14. (1.3) The sum of two consecutive odd integers is eleven less than three times the
smaller number. Find the two numbers.
15. (1.3) A store keeper mixes Peanuts, which sell for $1.10 per pound, and Walnuts,
which sell for $1.50 per pound. How many pounds of each will he need to create an
80 pound mixture that sells for $1.20 per pound?
16. (1.4) Solve BY FACTORING
2 x 2  33  19 x
17. (1.4) Solve BY COMPLETING THE SQUARE 19 x  2 x 2  33
b g
18. (1.4) Use the square root property to solve 2 x  3 2  3  21
19 (1.5) Write the quotient in standard form.
20. (1.5) Solve using the quadratic formula
2i
3  4i
x 2  4x  5  0