Inequalities & Absolute Values
Composite Functions & Exponents
Factoring
Graphing 2D Inequalities & Systems of Equations
Logarithms & Compound Interest
100

Solve  3x + 1 <  7

(-oo,2]

100

f(x) = 4 - 2x,   g(x) = 3x2

Find (f o g)(x)

(f o g)(x) = 4 - 6x2

100

Factor this expression

3k^2 + 9k

3k(k+3)

100

Graph the solution of

100
Rewrite this expression in exponential form

logx 25 = 2

x2 = 25

200

Solve    2 - 5x <  17

(-3,oo)

200

f(x) = 3x2    g(x) = x+1

Find (f o g)(x

(f o g)(x) =3(x+1)=3(x2+2x+1) = 3x2+6x+3

200

Factor this expression completely

4x^2 - 25

(2x+5)(2x-5)

200

Solve this system of equations by substitution:

y = 4x - 9

y = x - 3

(2,-1)

200

Simplify this expression

log 105

5

300

Solve   -1 < 9+n < 17

(-10, 8)

300

2m * 3m2

6m3

300

Factor this expression completely

x^2 - 7x - 18

(x - 9)(x+2)

300

Solve this system of equations by substitution

6x + 8y = -22

y = -5

(3, -5)

300

Use the properties of logarithms to condense this expression.

6logu   +  5logv

logu6v5

400
Solve  |5x| + 5 = 45

{8, -8}

400

(3k4)4

81k16

400

Factor this expression completely

5p^2 - p - 18

(5p + 9)(p - 2)

400

Solve this system of equations by elimination

6x - 12y = 24

-x - 6y = 4

(2,-1)

400

Solve for x

3x = 17

log(17) / log(3) ~~ 2.5789

500

Solve  |10 + 4x|  < 14

(-6,1)

500

((6m^4n^2)/(2m^2n^2))^2

9m^4

500

Factor completely

3x^3 - 5x^2 + 2x

x(3x - 2)(x - 1)

500

DOUBLE JEOPARDY! 1000 pts!

A class of 195 students went on a field trip.  They took a total of 7 vehicles, some cars and some buses.  Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.

3 cars and 4 buses

500

Use the formula:

A = P(1+r/n)^(nt)

The Garcias have $12,000 in a savings account. The bank pays 3.5% interest on savings accounts, compounded monthly. Find the total balance after three years.$13,326.49