Functions
Algebraic Properties and Numbers
Linear Equations & Inequalities
Statistics
Exponential Functions
100
Define Functions
A relation where each input has one output
100
Given: 3(x-2)=6
Step 1: 3x-6=6
Which property was used for the first step?
Distributive Property
100
What is the formula for the equation of a line in slope intercept form?
y=mx+b
100
Describe the correlation coefficient: r=-0.97
Strong Negative
100
0,1,2,3,4,5
Linear or Exponential? Explain
Linear, adding 1 each time
200
Evaluate f(x)= 2x+7 for f(-9)
f(-9)=-11
200
Which sum is irrational?
a. sqrt(4)+sqrt(121)
b. sqrt(4)+sqrt(225)
c. sqrt(4)+sqrt(500)
c. sqrt(4)+sqrt(500)
200
y= -2x +7
Which number is the slope?
Which number is the y-intercept?
m= -2
b= 7
200
70, 65, 34, 79, 70, 81
State the mean rounded to the nearest tenth.
66.5
200
60,30,15,7.5, 3.75
Linear or Exponential? Explain
Exponential, multiplying by 1/2 each time
300
{(1,2),(3,4),(5,6),(1,4)}
Is this relation a function? Explain
No, x=1 repeats
300
Given: 3x-7=0
Step 1: 3x=7
Which property was used for this first step?
Addition Property of Equality
300
3x+5y=15
Rearrange this linear equation to get y by itself
y= -3/5x +3
300
18, 14, 13, 15, 17, 16, 18, 11, 19, 13
State the five number summary of this data
Min = 11
Q1=13
Med= 15.5
Q3= 18
Max= 19
300
y=100(1.05)x
a. The rate is increasing by 50 %
a. The rate is increasing by 50 %
b. The rate is increasing by 5%
c. The rate is decreasing by 5%
d. The rate is decreasing by 50%
b. The rate is increasing by 5%
400
{(3,5), (7,9), (8,2), (10,3), (x,7)}
State a value of x that makes this a function
x= anything but 3, 7, 8, 10
400
Is the product of sqrt(2) and sqrt(2) rational or irrational? Explain
sqrt(2) x sqrt(2) = 2
Rational, it is a whole number that can be written as a fraction
400
Write an inequality that represents this situation:
At Darien Lake, you pay $35 per ticket x and $30 for parking. You only have $150 with you to spend.
35x+30 </ 150
400
x: 1,2,3,4,5
y: 10, 17, 23, 30, 38
Find the linear regression equation for this scenario, rounding a and b to the nearest tenth
y=6.9x+2.9
400
You open a savings account and deposit $14,000. Interest is compounded annually at a rate of 4.5%. Write an equation in A=P(1+r)t form where t is the number of years.
A=14,000(1.045)t
500
Evaluate f(x)= x3+x2 for f(-2)
f(-2)=-4
500
Is the sum of sqrt(7) and 4 rational or irrational? Explain
Irrational, is a never ending, never repeating decimal
500
Determine the average rate of change of the average pupil diameter between years 40 and 60
-0.04
500
Of the coffee drinkers, what percentage are female? Round to the nearest whole percent.
40%
500
The population of Yorkville, which is 150,000, is decreasing at 1% each year. Write an equation to model this situation in the form y=a(1 +/- r)x
y=150,000(0.99)x