Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
100
Solve the following equation for x
2(-x+6)=10-(3x-5)
x=3
100
Is the following table a function? If no, why not?
x y
-2 4
0 1
1 5
-2 6
3 4
No, -2 has 2 different outputs
100
Divide the following using synthetic division
(2x^3-3x^2+5x-7)/(x-1)
2x^2-x+4-3/(x-1)
100
Which are exponential functions?
3x x5 -67 xx
3x
100
Turn the following matrix in RREF into a solution in the proper form
[[1,0,0,2],[0,1,0,-3],[0,0,1,4]]
(2,-3,4)
200
Solve the following quadratic equations for all solutions using one of the methods we learned in class (Ex: Factoring or Quadratic Formula)
x^2+2x-8=0
x=2,-4
200
You are starting a new baking business. You have to pay $200 for ingredients to get started, but will make $50 per cake.
What is the equation representing how much money you will make?
y=50x-200
200
Divide the following using synthetic division
(7x^5+4x^3-2x^2-5x+4)/(x+2)
7x^4-14x^3+32x^2-66x+127-250/(x+2)
200
Solve without a calculator
log4x=2
x=16
200
Turn the following matrix in RREF into a solution in the proper form
[[1,0,2,3],[0,1,1,-2],[0,0,0,0]]
Infinitely Many Solutions
( 3-2z , -2-z , z )
300
Solve the following inequality:
-3x+5<2x-10
x>3
300
Is the following a function? If no, why not? If yes, find the domain and range.
Yes,
"Domain" (-oo,oo)
"Range"[-5,-1]
300
Which graph matches the equation
(x-2)^2/9+(y+5)^2/4=1
the ellipse
300
Simplify
ln(e^2/2)
ln(e^2)-ln(2)
2ln(e)-ln(2)
2-ln(2)
300
Solve the systems of equations using substitution:
-4x+y = 20
4x - 3y = -20
( -5, 0)
400
Solve the following quadratic equations for all solutions using one of the methods we learned in class (Ex: Factoring or Quadratic Formula)
2x^2=x+3
x=-1,3/2
400
You are starting a new baking business. You have to pay $200 for ingredients to get started, but will make $50 per cake.
How much will you earn if you sell 10 cakes?
y=50(10)-200
$300
400
Which graph matches the equation
(x+5)^2+(y-2)^2=16
The Circle
400
What is the inverse of:
y=2x^4-3
y=root(4)((x+3)/2
400
Solve the systems of equations using elimination:
6x +4y = 26
-4x - 8y = 20
(9, -7)
500
Solve the following inequality:
6x-3(x+2)<=4(2-x)
x<=2
500
You are starting a new baking business. You have to pay $200 for ingredients to get started, but will make $50 per cake.
How many cakes do you have to sell to earn $750?
750=50x-200
950=50x
19 cakes
500
Find the zeros for the expression
2x^3+5x^2-4x-3
x=1,-3,-1/2
500
Compound interest Yearly for 5 years on $10,000 at 20% interest. Suppose I deposit this money into an interest bearing account in 2012 and want to know how much it will be worth at the end of 2017. How much would it be worth?
$24,883
500
Solve the system of equations using Matrices
4x+2y=-2
3x-2y=-12
(-2,3)