Linear Equations
2x-1=5
x=3
Solve
x + y = 7
x - y = -1
(3, 4)
Write (x + 2)(x - 3) in standard form
x^2 - x - 6
What is the y-intercept for the function
f(x) = 2^x
(0,1)
Do the following points represent a function?
( 1, -4) (2, 0) ( 3, 1)
Yes
x - 1= 3x + 2
-3/2
Solve
2x + 4y = 6
x + 2y = 7
No Solution
Factor the expression x^2 + 8x + 16
(x + 4) (x + 4)
A population of ants is growing 65% each week. If the colony of ants started with 150, how many ants will there be after 3 weeks? Nearest whole number
674 ants
What is the domain for the graph of f(x)= 3x + 1?
All real numbers
Solve for w.
P = 2L + 2W
(P-2L)/2=w
2x+3y = 4
-4x+7y = -8
(2, 0)
Find the vertex of y = 4(x + 3)^2 - 6
(-3, -6)
Identify the range of the function y = 4^x -5
y>-5
Find the median of the data set: 5,8,3,8,9
Median: 8
Identify the slope of the line.
4x+3y = 6
-4/3
Admission to the local zoo is $9 for children and $14 for adults. A group of 40 people visits the zoo for a field trip. The admission to the zoo costs the group $400. How many children and how many adults attend the field trip?
32 children and 8 adults
Given f(x)= x^2 , describe the transformation of f(x+5) + 7
Left 5, Up 7
The function p(t)=2000(0.81)^t models the population of small town. What is the percent increase/decrease?
19% decrease
What is the range for the function y = x^2 - 6
y>-6
Phil and Matt made cookies for a fundraiser. Phil made 25% more cookies than Matt. The cookies sold for $0.50 each. After the sale, Phil and Matt raised a total of $72. How many cookies did Phil make?
Phil made 80 cookies
a = 2b-7
3a+b=10
Write your answer in the form (a,b)
(31/7, 13,7)
4.375 seconds
What does "b" represent in the equation f(x) = a(b)^x
Growth/Decay factor
Give one example of a rational number and one example of an irrational number.
pi 3/4