# Algebra Goal 2 ( 5% )

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```					         Algebra Goal 2 ( 5% )

2.01 use formulas and algebraic                4. The function g = t2-t represents
expressions to solve problems.                    the total number of games played
by t teams in a sports league in
Sample: If the temperature outside was            which teams play each of the
20 degrees C. What would the                      other teams twice. The Metro
temperature be on the Fahrenheit scale?           League plays a total of 132
F = 9/5C -32                                      games. How many teams are in
a. 98.6        b. 72                              the league? 12
c. 68          d. 4

2.02 describe, extend and express                     Formulas to Know
algebraically a wide variety of geometric
patterns.                                   Slope: m = Y2 – Y1
X2 – X1
Sample: Which expression describes the
nth term of the following geometric         Distance: d = √ (X2-X1)2 + (Y2-Y1)2
sequence? 1,4,9,16,25 …
a. 2n b. 4n c. n2 d. n3
Midpoint: M = ( X1 + X2 , Y1 + Y2)
th
Sample: Find the 5 term of the                                 2          2
following sequence: 1, 8, 27, 64 ….
a. 125 b. 128 c. 175 d. 225
Pythagorean Theorem: a2 + b2 = c2
Additional Problems

1. Gross percent is calculated by the    Quadratic Formula: x = -b ± √b2 – 4ac
formula GP% = (sales –                                             2a
overhead) ÷ sales x 100.
Calculate the gross percent profit    Vertex of Quadratic: x = - b
on sales of \$850,000 and                                       2a
overhead of \$550,000.
35.29%                        Exponential growth    C = (1+r)t
2. The formula for the volume (V)        Exponential decay     C = ( 1 – r )t
of a cylinder of height (h) and
radius (r) is v = πr2h. Solve the     Compound Interest = P (1 + r )nt
formula for r in terms of V and h.                                  n
R = √ v ÷ πh
3. Determine the amount of an
investment if \$250 is invested at
an interest rate of 10.3%
compounded quarterly for 40
years. I = C(1+ r)t 14607.77

Revised 2012

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