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WorksheetsChapter 6 - Linear Equations
Total questions: 45
Worksheet time: 57mins
In slope-intercept form (y= a+bx) what is the "b"?
The y-intercept
The x-intercept
The gradient (rate of change)
A point
In slope intercept form (y= a+bx) what is the "a"?
The y-intercept
The x-intercept
The slope (rate of change)
A point
Which equation represents the following graph?
y = 2+ 3x
y = 3 - 2x
y = 3 + 2x
y = 2 - 3x
What is the y-intercept in the equation?
y = -4 + 5x
5
-4
-5
4
What is the y-intercept in the equation?
y = 8 - (2/3)x
-8
8
-2/3
4
Find the equation of the line in slope-intercept form.
y = -3 - 1/4x
y = 3 + 1/3x
y = 2 - 1/4x
y = -3 + 1/3x
(10, 1) and (5, 2)
Which is the graph of y=2 -x?
A
B
C
D
Which equation is being represented by this line?
y = 2 -1x
y = 2 + 1/2x
y = -4 + 3x
y = 2 - 3x
y=-3x
What is the slope of the equation?
y = 4 - 3x
-3
4
-4
3
Given the equation y = 3 + 2x, what is the slope?
2
x
3
y
Which of the following is in slope-intercept form?
y=-7 + 10x
y-5=3(x-1)
5x-y=12
6x+2y-15=0
Find the gradient between the points
(8, 5) and (-9, 5)
Zero
Undefined
-10/17
-10/1
(-4, 3) and (-4, -7)
Find the gradient between the points
(9, 7) and (13, 14)
-4/7
2/1
Zero
7/4
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
y=15x
y=80+15x
y=15+x
y=15+ 80x
Which equation best represents the relationship between x and y in the table shown?
y= 5 + 5x
y=5 + 1/5x
y=5 + 15x
y=5+ 10x
Based on the line of best fit, about how many guests should be expected if the temperature is around 80 degrees?
8,300
7,300
8
9,300
Use the line of best fit to approximate rate of change relative to the scatter plot above.
7/5
5/7
-7/5
-5/7
The equation of the line of best fit
is y= 1 + 1/2x.
How many laps can a bicycle make around the park in
23 minutes?
44 laps
12 1/2 laps
23 laps
55 laps
Students in a group of chess teams submitted data about hours of team practice and the number of matches the team won. The graph shows the results of the data. Based on the line of best fit equation y =3.52 + 3.14x, if a team practices 4.5 hours per week next year, which is the best prediction of the number of chess matches a team could expect to win?
about 24
about 12
about 8
about 18
Adrianna has $20 in her savings account. Each week she will add $5 to it. Which equation represents this situation?
y=25x
y= 5 + 20x
y=20 + 5x
y=5x
What are the coordinates of the y-intercept of the trend line?
(0, 0)
(0, 20)
(0, 100)
(100,0)
What is the gradient of the line?
$1 per day
$1 per week
$20 per day
$20 per week
Determine the equation of the line.
y = 1x
y = 100 + 1x
y = 20x
y = 100 + 20x
For the piecewise graph, when t=5, C=
80
100
200
180
Water is being pumped into a tank. The graph shows the volume of water in a tank V (litres) after t minutes. The rate at which water is being pumped into the tank is closest to:
40
60
80
120
