Lines and Linear Equations
Graphs
Equations
Word Problems
Linear Relations
100
In y= 3x - 893, which is the y intercept?
-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
C=25n+100
100
Y=3x +45 Where x = 4. What is Y.
57
100
what is the value of x at the y intercept?
x = 0
100
The coordinates of a graph are as followed (2,2), (4,4) (6,6) (8,8). What is the gradient?
1
200
The graph of x=-3 produces a ____________ line
vertical line
200
4 pkts of lollies costs $12. What is an equation that can be used to represent the cost of any number of pkts is cost is "C" and pkts "p"?
C = 3p
200
A statement that two mathematical expressions are equal and have the same value.
Equation.
200
Halley's comet appears approximately every 76 years, since the year 1758. It will appear for the third time in this year.
1910
200
(22,55), (88,165), (166,205), (44,110). True or false, this is a linear relation
false
300
V=5000-100h
This is the rate of change/slope?
-100
300
The graph shows the cost Sherri will pay to do some kite sailing.
She will pay this amount for 6 h.
$180
300
The cost of renting an airplane is $210 in airport taxes and an extra $1.20 per kilometre travelled. What is the equation that represents the relationship between the cost of a rental (C) and the distance flown in kilometres (d)?
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?
$750
300
These are two different ways to tell that a relation is linear.
It forms a straight line when graphed and has a constant rate of change (or the equation has the form y=mx+c)
400
y = -3x +100
y= 3x +100
How are these graphs different?
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.
4km
400
A pool starts with 6000L of water and drains at a rate of 200L per minute. What is the equation?
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?
195
400
All linear relations can be written in this form.
y=mx+c (y=___x+___)
500
The steps to describe how to graph the following line: y=-2x + 3
DAILY DOUBLE: Draw the graph to double your points.
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.
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.
8 dogs per volunteer
500
X: 5, 4, 3, 2, 1
Y: 1.2, 2.4, 3.6, 4.8. 6.0
What is the gradient?
-1.2