Lines and Linear Equations
Graphs
Equations
Word Problems
Linear Relations
100
In y= 3x - 893, this number is the initial value or y-intercept.
What is -893
100
This graph shows the cost to rent a banquet hall for different numbers of people.
This equation describes the relation between cost to rent the hall, C, and the number of people, n
What is C=25n+100
100
Y=3x +45 Where x = 4. What is Y.
What is 57
100
To estimate a value beyond it's given set of values.
What is extrapolate
100
The coordinates of a graph are as followed (2,2), (4,4) (6,6) (8,8). This is the rate of change.
What is 1
200
The graph of x=-3 produces this kind of line.
What is a vertical line
200
Mark made this graph that shows the value for different numbers of loonies.
Sue wants to make a similar graph to show the value for different numbers of toonies.
This equation describes the new relation between the value, V, of toonies and the number of toonies, n
What is V = 2n (The initial value does not change. The rate of change changes to 2 so the line gets steeper.)
200
A statement that two mathematical expressions are equal and have the same value.
What is equation.
200
Halley's comet appears approximately every 76 years, since the year 1758. It will appear for the third time in this year.
What is 1910
200
(22,55), (88,165), (166,205), (44,110). True or false, this is a linear relation
What is false
300
V=5000-100h
This is the rate of change/slope?
What is -100
300
The graph shows the cost Sherri will pay to do some kite sailing.
What is the rate of change, including units?
What is $10/hr.
300
The cost of renting an airplane is $210 in airport taxes and an extra $1.20 per kilometre travelled. This equation represents the relationship between the cost of a rental (C) and the distance flown in kilometres (d)?
What is C = 1.20d + 210
300
A school pays $125 to design gym T-shirts. It costs an additional $25 to make each T-shirt. How much would it cost to make 25 T-shirts?
What is $750
300
These are two different ways to tell that a relation is linear.
What is it forms a straight line when graphed and has a constant rate of change (or the equation has the form y=mx+b)
400
y = -3x +100
y= 3x +100
This is how the graphs look different.
What is the first goes down to the right and the second goes up to the right (they have different slopes)
400
This is how far from school he was after 16 minutes. Did you use interpolation or extrapolation to find your answer?
What is 4km (interpolation)
400
A pool starts with 6000L of water and drains at a rate of 200L per minute. What is the equation?
What is V=6000-200t
400
A school pays $125 to design gym T-shirts. It costs an additional $25 to make each T-shirt. If the school has $5000 to spend on t-shirts, how many shirts can be made?
What is 195
400
All linear relations can be written in this form.
What is y=mx+b (y=___x+___)
500
These steps describe how to graph the following line: y=-2x + 3
DAILY DOUBLE: Draw the graph to double your points.
What is 1) start at 3 on the y-axis 2) go down 2 and right 1 to get the other points.
500
Ali started walking quickly to class when he realized that he forgot his book at his locker. He slowed down then turned around and went back to his locker increasing his speed as he walked. Then he ran the rest of the way to class at a constant rate.
Draw a sketch of distance time graph to represents Ali's walk to class
500
One carpenter has to cut 50 pieces of wood, and he can cut 4 pieces per hour. A second carpenter has to cut 62 pieces of wood, and he can cut 7 pieces per hour. They start cutting wood at the same time. This is the equation for the combined number of pieces left to be cut between the two carpenters (N) and the number of hours (h) that have elapsed since they started cutting.
What is N=112 - 11h
500
This equation represents the relationship between the number of dogs (D) adopted at a dog shelter in a week, and the number of volunteers (v) who post adoption ads around the neighborhood.
D=17+8v
This is the number of dogs adopted per volunteer. Is this a discrete or continuous relationship?
What is 8 dogs per volunteer (discrete)
500
X: 5, 4, 3, 2, 1
Y: 1.2, 2.4, 3.6, 4.8. 6.0
This is the Rate of change/slope.
What is -1.2