Question 1
LEVEL 3
Complete the table of values below to draw the straight line y=3x-6.
Select the correct answer for the completed graph from the list below:
A:
B:
C:
D:
CORRECT ANSWER: B
WORKED SOLUTION:
To fill in our table we need to substitute the values of x into y=3x-6.
y=3\times(-2)-6=-6-6=-12
y=3\times(-1)-6=-3-6=-9
y=3\times0-6=0-6=-6
y=3\times1-6=3-6=-3
y=3\times2-6=6-6=0
This means our table will look like this:
And now we can plot these points on a set of axis:
And finally, all we need to do is connect our points with a straight line:
Question 2
LEVEL 3
Complete the table of values below to draw the straight line y=2x+5.
Select the correct answer for the completed graph from the list below:
A:
B:
C:
D:
CORRECT ANSWER: A
WORKED SOLUTION:
To fill in our table we need to substitute the values of x into y=2x+5.
y=2\times(-2)+5=-4+5=1
5=2x+5
2x=5-5
2x=0
x=0\div2=0
11=2x+5
2x=11-5
2x=6
x=6\div2=3
This means our table will look like this:
And now we can plot these points on a set of axis:
And finally, all we need to do is connect our points with a straight line:
Question 3
LEVEL 3
Plot the graph of the equation y=3x+1
Select the correct answer for the completed graph from the list below:
A:
B:
C:
D:
CORRECT ANSWER: D
WORKED SOLUTION:
The number by itself in our equation is the y-intercept, which tells us where our line will cross the y-axis. (y=3x+\textcolor{green}{1}).
The number before the x tells us how many it goes up or down for every 1 it goes to the right. (y=\textcolor{red}{3}x+1).
And now just connect the points.
Question 4
LEVEL 4
Plot the graph of the equation y=-2x-2.
Select the correct answer for the completed graph from the list below:
A:
B:
C:
D:
CORRECT ANSWER: C
WORKED SOLUTION:
The number by itself in our equation is the y-intercept, which tells us where our line will cross the y-axis. (y=-2x+\textcolor{green}{-2}).
The number before the x tells us how many it goes up or down for every 1 it goes to the right. (y=\textcolor{red}{-2}x-2).
And now just connect the points.
Question 5
LEVEL 4
Plot the graph of the equation 3y=6x-3.
Select the correct answer for the completed graph from the list below:
A:
B:
C:
D:
CORRECT ANSWER: A
WORKED SOLUTION:
Before we can continue we need to remember that our equation has to be in the form y=mx+c, meaning we need to divide everything by 3.
3y=6x-3
(3\div3)y=(6\div3)x-(3\div3)
y=2x-1
The number by itself in our equation is the y-intercept, which tells us where our line will cross the y-axis. (y=2x+\textcolor{green}{-1}).
The number before the x tells us how many it goes up or down for every 1 it goes to the right. (y=\textcolor{red}{2}x-1).
And now just connect the points.
