Linear Functions
How do you calculate the slope of a linear function?
rise/run
Solve the system of equations below
y=3x+2
y=7x-6
(2,8)
How do you know if a function is exponential?
Equation has an exponent of x
Graph increases or decreases exponentially
Table has a pattern of multiplication or division
What is the vertex in the following equation?
y=2(x-2)2+4
(2,4)
Which part of the graph is shaded for a greater than inequality?
above
Which part of the equation below represents the y-intercept?
y=mx+b
b
Where do the following equations intersect?
15x-9=y
1x+2=y
(0.79,2.79)
Given the equation f(x)=8x
Find f(5)
32768
What are the solutions to the following equation?
0=x2-5x+6
2 and 3
Solve the inequality below.
3x+1>11
x>10/3
Draw a line that fits the following criteria.
Non-linear
Negative
Exponential Decay
Solve the system of equations below
x+y=3
2x+5y=12
(1,2)
The value of a car was originally $10,000. It depreciates at a rate of 7% each year. How much will the car be worth in 6 years?
$6469.90
If the discriminant has a value of 0, how many x-intercepts does the equation have?
1
Isaac wants to buy some mushrooms. He has $12 and each mushroom costs $2. How many mushrooms can be buy without exceeding his budget?
6 mushrooms
Write an equation of a line with a slope of 7 and passes through the point (2,-14)
y=7x-28
Where do the following equations intersect?
y=2x2
y=2x+4
(-1,2) and (2,8)
The price of a house appreciates by 5% each year. The starting value is $400,000. What is the price of the house after 10 years?
$561,557.85
What is the quadratic formula?
Check each one
Does the point (-163,-325) work in both the following inequalities?
y<2x+5
y>3x+8
yes
If I have 25 pounds of salt and I get 6 more each day, how many will I have after 1 month (30 days)
205 pounds
Ean bought a total of 5 footballs and baseballs. Footballs cost $15.99 a piece and baseballs cost $5 a piece and he spent a total of $48.98, how many of each did he buy?
2 footballs and 3 baseballs
Write an equation for the following table.
x 2 3 4 5
___________________________
y 6 3 1.5 0.75
y=24(0.5)x
What are the x-intercepts in the following equation?
8x2-27x-5=0
3.55 and -0.18
Solve the inequality for x
5x-4>2x+3
x>7/3