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Solve the following problems without a calculator. Check your answer by solving with a calculator.
15)
x 2  y 2  61
x  y 1
x yz 9
18)  2 x  y  z  3
x  y  1
16)
x3  y  3
y  x2  3
7 x  5 y  24
19) 1
1
1
 x y 
3
2
3
4x  2 y  z  7
21) 6 x  3 y  2 z  14
2 x  5 y  3z  8
2 x  3 y  4 z  16
22) 3 x  2 y  z  6
x y 5
x  4 z  13
24) y  2 z  6
3 x  2 y  4 z  15
2 x  5 y  19 z  34
25) 3 x  8 y  31z  54
x  3 y  12 z  20
17)
3 x  2 y  5
5 x  y  6
3x  y  2 z  6
20) 5 x  y  3z  7
2 x  3 y  4 z  5
23)
1.3x  1.7 y  4
2 x  y  30
26) Mr. Coulson likes to mix up his own fertilizer to keep his yard looking green and pristine. As we all know,
fertilizer is made up of Nitrogen (N), Phosphorus (P) and Potassium (K). The proportion of each component
for a given type of fertilizer is shown on the label as three numbers in N-P-K order. For example, a 5-10-15
fertilizer has 5/30 or 1/6 N, 10/30 or 1/3 P and 15/30 or 1/2 K. Farmer C. wants to put down 120 lbs of 125-7 fertilizer, but only has bags containing 10-10-10 from Abernathy Seed Company, 30-5-5 from Badlands
Lawn Care, and 20-10-20 from Crabgrass Corporation. How much of these fertilizers does he need to blend
to get the proportion of N-P-K he desires?
SKILL REVIEW
Below are skills that you will need in order to do well on Chapter 3. You are responsible for the information on
this sheet. If you have any questions you need to come see me in ac lab or before/after school.
Concept #1: Properties of Exponents
1. 53 51

4. x 2 y 3
7.

5
a2
a6
10. (10e4 x )3
 
2. x 5 x 3 x 2
3. a5
5.  2xy 
6. 32
8.
0
32 xy 5 z
24 x 2 y 2
11. 2e3 6e5
3
9. 24 8x
12.
24e8
4e5