Slope & Unit Rate
Slope-Intercept Form
Proportions
Functions and Relations
Modeling Linear Equations
100
Find the slope of the graph.
1/2
Question #1
100
Write the equation of a line with a slope of -1 and a y-intercept of -3.
y = -x - 3
Question 7
Beware: + -, slope of 1, intercept of 0, slope of 0
100
Is the following graph proportional? Why or why not?
yes, it goes through the origin
Question 8
A proportional graph is straight and goes through the origin.
100
Is the following graph discrete or continuous? Why?
Discrete, because you can't have 1/2 a large box.
Question 15
Discrete means "dots" and no values in between.
Continuous means "connected" and includes all values in between points.
100
Denai plants a sapling that is 2 feet tall, and which continues to grow 3 feet each year. Write a linear equation for this situation.
y = 3x + 2
Question 16
The y-intercept is your starting (initial) amount, and the slope is your rate.
200
Find the simplified slope between (-8, 12) and (1, 15).
1/3
Question 2
200
Graph the equation y = 3x + 2.
Question 11
Begin with the y-intercept. Use the slope to count up/over or down/over from there. Include arrows!
200
Is the following equation proportional? Why or why not?
y = 2/3x
Yes, it follows the form y = mx.
Question 9
Proportional equations follow the form y = mx with no y-intercept given (since it is at 0).
200
What is the domain of the following graph?
1, 2, 3, 4, 5
Question 12
Domain are the "inputs" or x-values.
Range are the "outputs" or y-values.
200
Denai plants a sapling that is 2 feet tall, and which continues to grow 3 feet each year. How tall will the tree be after 10 years?
32 feet
Question 16
Plug the given value in for the correct variable and solve.
300
Find the simplified slope of the table.
3
Question 3
300
Graph the equation y = -3/2x + 1.
Question 11
Begin with the y-intercept. Use the slope to count up/over or down/over from there. Include arrows!
300
Is the following equation proportional? Why or why not?
y = x + 1
No, because it has a y-intercept of 1.
Question 9
Proportional equations follow the form y = mx with no y-intercept given (since it is at 0).
300
What is the range of the following ordered pairs?
(5, -1) (0, 10) (5, 6) (-2, 2)
-1, 10, 6, 2
Question 14
Domain are the "inputs" or x-values.
Range are the "outputs" or y-values.
300
Mrs. Johnson buys a bag of 100 pieces of candy and gives away 4 candies each hour to the winning team. Write a linear equation for the situation.
y = -4x + 100
Question 16
The y-intercept is your starting (initial) amount, and the slope is your rate.
400
Find the unit rate of the graph, including the label.
0.75 gal/min
Question 4
Find slope and divide. The label is y/x.
400
Write the equation of the graph.
y = 1/2x + 2
Question 6
y = mx + b
m - slope
b - y-intercept
400
Is the following table proportional?
No, because the y/x ratios are not equal. (Or because it does not go through the origin)
Question 10
Divide each y value by each x value. If the ratios are all equal, the table is proportional.
400
Is the following table a function? Why or why not?
No, the input of 2 has two different outputs.
Question 13
A function is a relation in which each input has only one output.
400
Mrs. Johnson buys a bag of 100 pieces of candy and gives away 4 candies each hour to the winning team. How much candy will she have left after all 5 of her classes?
80 candies
Question 16
Plug the given value in for the correct variable and solve.
500
Find the unit rate of the table. LABEL.
$7/lb
Question 5
Find the slope and divide.
500
Write the equation of the graph.
y = -2/3x + 5
Question 6
y = mx + b
m - slope
b - y-intercept
500
Is the following table proportional?
Yes, because the y/x ratios are all equal.
Question 10
Divide each y value by each x value. If the ratios are all equal, the table is proportional.
500
Is the following graph a function? Why or why not?
yes, it passes the vertical line test--each vertical line has only one output
Question 12
If a vertical line can touch the graph twice, it is NOT a function.
500
Chocolate-covered almonds cost $4.99 per pound at a local candy shop. Write a linear equation for this situation.
y = 4.99x
Question 16
The y-intercept is your starting (initial) amount, and the slope is your rate.