Identify Linear Equations & Intercepts
Slope
Linear Equations & Transformations
Sequences & Rate of Change
Graphing
100
What are the x- and y-intercepts of the linear function?
y-int: 4
x-int: 4
100
Find the zero and slope of the line by graphing.
Zero: -3
Slope: 1
100
Write an equation of a line in slope-intercept form with a slope of 1/2 and a y-intercept of 5.
y= 1/2x+5
100
Find the rate of change of the table below.
4
100
Graph the equation y = 2
200
What are the x and y intercepts of the following equation?
y - 4x = 4
x-int: -1
y-int: 4
200
Find the rate of change in the graph and then create a table with different ordered pairs the graph will pass through.
2
200
Write an equation of a line in slope-intercept form for the graph shown.
y= -3x -3
200
Find the rate of change represented by the table.
-1/5
200
Graph the equation by using the x- and y-intercepts. 3x= -y + 4
y=4
x=1 1/3
300
Determine whether the equation is a linear equation. Write yes or no. If yes, write the equation in standard form and find the x and y intercepts.
8x – 3y = 6 – 4x
Yes
x-int: 1/2
y-int: -2
300
Find the slope of the line.
4/5
300
Describe the translation of the function as it relates to the graph f(x) = x.
g(x) = x – 8
Down 8
300
Find the next three terms in the arithmetic sequence.
12, 5, -2, -9, …
-16, -23, -30
300
Killer whales usually swim at a rate of 3.2-9.7 kilometers per hour, though they can travel up to 48.4 kilometers per hour. Suppose a migrating killer whale is swimming at an average rate of 4.5 kilometers per hour. The distance d the whale has traveled in t hours can be predicted by the equation d = 4.5t.
a. Use the graph to predict the time it takes the killer whale to travel 30 kilometers.
6.5 hours
400
Find the zero of the linear function by graphing. Verify your answer algebraically.
x-int: -3/5
400
Find the slope of the line through (6, -2) and (5, -4).
2
400
Describe the translation of the function as it relates to the graph f(x) = x.
g(x) = (3x) + 6
Horizontal Compression
Up 6
400
Write an equation for the nth term of each arithmetic sequence. Then graph the first 5 terms in the sequence.
5
n= -7 + (n-1)3
n= 3n-10
400
Graph the function
500
Jessica is saving for college using a direct deposit from her paycheck into a savings account. The function m = 3045 – 52.50t represents the amount of money m still needed after t weeks. Find the zero of this function. What does this value mean in this context?
58 weeks until she has enough money
500
Find the value of r so the line that passes through (-2, r) and (6, 7) has a slope of ½ .
r=3
500
The cost to rent a paddle boat at the county park can be modeled by the function f(h) = 8h, where h represents the number of hours the boat is rented. For renters under age 21 there is also a non-refundable deposit of $10.
Write a function g(h) to represent the cost of renting a paddle boat for someone under age 21.
Find the cost of renting a paddle boat for 6 hours for someone over age 21 and someone under age 21.
1. g(h)= 8h + 10
2. Over 21: $48
Under 21: $58
500
Tamika is stacking boxes of tissue for a store display. Each row of tissues has 2 fewer boxes than the row below. The first row has 23 boxes of tissues.
a. Write a function to represent the arithmetic sequence.
b. How many boxes will there be in the tenth row?
a. n= 23 + (n-1)(-2)
b. 5
500
The function y = 3|𝑥 − 12| − 36 models a scuba diver’s elevation in feet compared to sea level after x minutes. Graph the function. How far below sea level is the scuba diver at the deepest point in their dive?
36 feet