Identify the domain and range of the relation.
(0, 2), (1, 4), (2, 6), (3, 8), (4, 10)
Domain = {0, 1, 2, 3, 4}
Range = {2, 4, 6, 8, 10}
100
Tell whether the ordered pair is a solution of y = -3x + 9.
(2, 3)
3 = -3(2) + 9
3 = -6 + 9
3 = 3, yes it is a solution
100
Mrs. Zambanini will have to put the problem on the board.
x - int = -4, y - int = 1
100
The problem will be placed on the board separately.
m = 5/4
100
A ladder is leaning against a house. The bottom of the ladder is 8 feet from the house. The top of the ladder is leaning against the house 15 feet above the ground. Find the slope of the ladder.
rise = 15, run = 8
m = 15/8
200
Identify the domain and range of the relation.
x 0 2 2 3
y 5 5 6 6
Domain = {0, 2, 3}
Range = {5, 6}
200
Tell whether the ordered pair is a solution of the equation.
2x - y = 6; (4, 3)
2(4) - 3 = 6
8 - 3 = 6
5 does not equal 6, no it is not a solution
200
Draw the line with the given intercepts.
x-intercept: -3
y-intercept: -2
On the board by Mrs. Zambanini.
200
Find the slope of the line through the given points.
(9, 6), (21, 14)
m = (14 - 6)/(21 - 9)
m = 8/12 = 2/3
200
Twenty children line up to ride go-carts. The go-cart operator collects
$2 from each child in order from the 1st to the 20th in the line. Do the
ordered pairs (child number, amount paid) represent a function? Explain
your reasoning.
Yes, because for every input, child number, there is exactly one output.
300
Represent the relation as a graph and as a mapping diagram. Then tell whether the relation is a function. Why or why not?
(0, 1), (0, 2), (1, 3), (1, 4), (1, 5)
Mrs. Zambanini will have to put the graph and mapping on the board.
It is not a function because it fails the vertical line test, or you could say because there are one than one output for both inputs.
300
Graph the equation. Use -2, 0, & 2 for x.
y = 1/2x - 4
(-2, -5), (0, -4), (2, -3)
Mrs. Zambanini will have to put the graph on the board!
300
Find the intercepts of the equation’s graph. Then graph the equation.
3x + y = 6
x - int = 2, y - int = 6, Mrs. Zambanini will put the graph on the board.
300
Find the slope of the line through the given points.
(20, -18), (1, -2)
m = (-2 - (-18))/ (1 - 20)
m = 16/-19 or -16/19
300
One metric ton is equivalent to about 2204.6 pounds. Write a linear equation that can be used to convert a mass x in metric tons to a weight y in pounds.
y = 2204.6x
400
The amount of precipitation in millimeters is measured every day from
day 1 to day 20. Do the ordered pairs (day, precipitation) represent a
function? Explain.
Yes, because there will be no days repeated. Therefore, there will be exactly one output for each input.
400
Write the equation in function form. Then graph the equation. Use -2, 0, & 2 for x.
4x + 4y = 8
y = -1x + 2; (-2, 4), (0, 2), (2, 0)
Another one for Mrs. Zambanini to graph on the board.
400
Find the intercepts of the equation’s graph. Then graph the equation.
-9x - 4y= -36
x - int = 4, y -int = 9, the graph will be put on the board separately.
400
Find the coordinates of two points on the line with the given equation. Use -2 and 0 for x. Then use the points to find the slope of the line.
y = 2x - 6
(-2, -10) and (0, -6)
m = (-10 - (-6))/(-2 - 0)
m = -4/-2 = 2
400
You are in charge of buying salads for a picnic. You have $20 and plan to buy potato salad and pasta salad. Potato salad costs $1.25 per pound, and pasta salad costs $2.50 per pound. Write an equation describing the possible amounts of potato salad and pasta salad that you can buy.
1.25x + 2.5y = 20
500
Terrance receives $0.50 per pound of aluminum cans he recycles. Is
the number of cans he recycles a function of the amount of money he
receives? Explain.
Yes, Terrance the number of can recycles will always have a specific and only one output. In other words, 2 cans can't bring in $1.00 and $2.00 since he only earns $0.50 per can.
500
Your family is driving on the highway. The number of miles y you travel
in x minutes is approximated by the equation y = 1.1x. Approximately
how far do you travel in 80 minutes?
y = 1.1(80)
y = 88 miles
500
You are kayaking along a 24-mile stretch of river. You travel 6 miles per
hour when paddling and 2 miles per hour when drifting. Write and graph an equation using the x-intercept and y-intercept describing your possible paddling and drifting times.
Answer will be put on the board separately.
500
Put the following equation in function form. Then find the coordinates of two points on the line with the given equation. Use -2 and 0 for x. Finally, use the points to find the slope of the line.
-4x + 2y = -8
y = -4 + 2x
(-2, -8), (0, -4)
m = (-4 - (-8))/ (0 - (-2))
m = 4/2 = 2