Equations/Radicals
Solve for x:
3(x + 4) - 2x = 24
x=12
Identify the independent variable in the function
f(x) = 2x + 3
x
Solve for x:
3x + 7 ≤ 16
x≤3
Rachel is at her house (3, 5) and Mercedes is at her house (-10, -15). They want to meet in the middle to have lunch. Where would they meet to have lunch? (x,y)
(-3.5, -10)
Arithmetic or Geometric? What is the common difference/ratio?
2, 4, 8...
Geometric, r=2
Put in Slope-Int Form:
-12x+3y=6
y=4x+2
Evaluate the function f(x) = 4x - 1 when f(2)
f(2)=7
Opened or Closed Line.. how do you now?
y>3x+7
Open, does not have "equal to" line
Rachel is at her house (10, 5) and Mercedes is at her house (-10, -15). What is the distance between their houses? as a decimal!!!!!!!!
about 28.28
What is the 45th term?
a1=5
d=-6
a45= -259
What is the product of √7 & √20?
2√35
Determine if the function f(x) = x² - 4x + 4 has a maximum or minimum value
minimum
Does this domain include 3? How do you know?
[0,3]
yes, brackets mean "included/equal to"
A car rental company charges $30 per day plus $0.25 per mile driven. Write an expression for the cost of renting a car for x days and driving 250 miles.
y=30x+62.5
-0.9
Negative just means is going down. 0.9 means it's closer to 1
√7 + √20? ...as a decimal
about 7.117
How can you tell if a function is linear/quadratic/exponential from looking at the equation?
Linear has "regular" x
Quadratic has a highest exponent of 2
Exponential has x as an exponent
Is (2,7) a solution for the following?
y<2x+5
yes, plugging in 7 for y and 2 for x would result in 7<9 which is true
Ms.Dowling bought a car for $40,000. It depreciates at 43% each year. How much will it be worth after 6 years?
y=40000(1-.43)^(6)
about 1371.86
What 5 things do you need to build a Box&Whisker plot?
min, Q1, Q2 (median), Q3, max
Factor the following quadratic:
x² + 5x + 6
(x+2)(x+3)
If you find that the "1st difference" is not the same, but "2nd difference" is the same, what type of function is this?
Quadratic
Put in Slope-Int form:
-4x-2y≤8
y≥-2x-4
Mark wants to buy some shirts for $25 each and pairs of pants for $30 each. He wants to spend less than $100. Write an inequality for this.
25x+30y<100
100>25x+30y
Steps for finding Mean Absolute Deviation?
find the mean of the set, subtract the mean from each number in the set, make them positive, and find mean of new numbers