Inequalities & Absolute Values
Composite Functions & Exponents
Factoring
Graphing 2D Inequalities & Systems of Equations
Logarithms & Compound Interest
100
Solve 3x + 1 < 7
Give answer in interval notation
(-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
Give answer in interval notation
(-3,oo)
200
f(x) = 3x2 g(x) = x+1
Find (f o g)(x)
(f o g)(x) =3(x+1)2 =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
give answer in interval notation
(-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.
6log3 u + 5log3 v
log3 u6v5
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
Give answer in interval notation
(-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