Use the graph of
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Linear Relationships, SM-Bank 061
Use the graph of
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Linear Relationships, SM-Bank 060
Use the graph of
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Linear Relationships, SM-Bank 059
Verify that the points
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Linear Relationships, SM-Bank 058
Verify that the points
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Linear Relationships, SM-Bank 057
Verify that the points
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Linear Relationships, SM-Bank 056 MC
Which of the following points lies on the line
Linear Relationships, SM-Bank 055 MC
Which of the following points lies on the line
Linear Relationships, SM-Bank 054
Renee and Leisa are saving money so they can visit their grandmother on a holiday.
Renee has $100 and plans to save $30 each week.
Leisa has $200 and plans to save $10 each week.
- Write an equation to represent
(i) Renee's savings (1 mark)
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(ii) Leisa's savings (1 mark)
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- Complete the following tables of values for the equations above. (2 marks)
Renee's savings
Leisa's savings
- Using the tables of values, graph both equations on the number plane below. Be sure to extend your lines to the end of the grid. (2 marks)
- After how many weeks will Renee and Leisa have saved the same amount? (1 mark)
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a. (i)
(ii)
b.
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d.
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a. (i)
(ii)
b.
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c.
d.
Linear Relationships, SM-Bank 053 MC
Linear Relationships, SM-Bank 052
Jeremy owns a paddle board hire company. He charges a $20 insurance fee with every hire and $35 for every hour of hire.
- Complete the table of values below, where
represents the number of hours of hire and represents his total earnings for each hour of hire. (2 marks)
- Write an equation to represent Jeremy's wages, using the variables
and . (1 mark)
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- Graph the equation of the line representing Jeremy's wages on the number plane below. Be sure to extend your line to the edge of the grid. (2 marks)
- For how many hours would Jeremy have to hire a paddle board to earn $230? (1 mark)
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a.
b.
c.
d.
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a.
b.
c.
d.
Linear Relationships, SM-Bank 051
Julie cleans carpets and upholstery. She charges a $40 call-out fee and $20 for every hour it takes to complete a job.
- Complete the table of values below, where
represents the number of hours Julie works and represents her total wage. (2 marks)
- Write an equation to represent Julie's wages, using the variables
and . (1 mark)
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- Graph the equation of the line representing Julie's wages on the number plane below. Be sure to extend your line to the edge of the grid. (2 marks)
- For how many hours would Julie have to clean to earn $150? (1 mark)
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a.
b.
c.
d.
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a.
b.
c.
d.
Linear Relationships, SM-Bank 050 MC
Which of the following is not true of the lines on the number plane below?
. . . .
Linear Relationships, SM-Bank 049 MC
What do the lines on the following number plane have in common?
. . . .
Linear Relationships, SM-Bank 048 MC
What do all the lines on the following number plane have in common?
. . . .
Linear Relationships, SM-Bank 047
- Complete the tables of values below for each given rule. (3 marks)
- On the number plane below, graph the equations from part (a). (2 marks)
- Using the graph, find the point of intersection of the two lines. (1 mark)
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c.
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a.
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b.
c.
Linear Relationships, SM-Bank 046 MC
Monique has correctly drawn the graph of
She used the points
How many more different points could she have used to plot the line
Linear Relationships, SM Bank 045
- Complete the tables of values below for each given rule. (3 marks)
- On the number plane below, graph the equations from part (a). (2 marks)
- Using the graph, find the point of intersection of the two lines. (1 mark)
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a.
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c.
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a.
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b.
c.
Linear Relationships, SM-Bank 044
- Complete the table of values using the graph of the straight line below. (2 marks)
- Using either the table or the graph, state the rule connecting
and . (1 mark)
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Linear Relationships, SM-Bank 043
- Complete the table of values using the graph of the straight line below. (2 marks)
- Using either the table or the graph, state the rule connecting
and . (1 mark)
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Linear Relationships, SM-Bank 042
- Plot the points from the table on the number plane below and join the points using a ruler. (2 marks)
- What do you notice about the points? (1 mark)
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- Using either the table or the graph, state the rule connecting
and . (1 mark)
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a.
b.
c.
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a.
b.
c.
Linear Relationships, SM-Bank 041
- Plot the points from the table on the number plane below and join the points using a ruler. (2 marks)
- What do you notice about the points? (1 mark)
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- Using either the table or the graph, state the rule connecting
and . (1 mark)
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a.
b.
c.
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a.
b.
c.
Linear Relationships, SM-Bank 040
- Plot the points from the table on the number plane below and join the points using a ruler. (2 marks)
- What do you notice about the points? (1 mark)
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- Using either the table or the graph, state the rule connecting
and . (1 mark)
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a.
b.
c.
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a.
b.
c.
Linear Relationships, SM-Bank 039 MC
Pepper uses matchsticks to make a pattern of shapes, as shown in the table below.
The equation used to show the relationship between
Linear Relationships, SM-Bank 038
- Complete the table of values below for the rule
. (2 marks)
- Use the table to list the coordinates of the points. (2 marks)
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Linear Relationships, SM-Bank 037
- Complete the table of values below for the rule
. (2 marks)
- Use the table to list the coordinates of the points. (2 marks)
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Linear Relationships, SM-Bank 036
Complete the table of values below for the given rule. (2 marks)
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Linear Relationships, SM-Bank 035
Complete the table of values below for the given rule. (2 marks)
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Linear Relationships, SM-Bank 034
Complete the table of values below for the given rule. (2 marks)
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Linear Relationships, SM-Bank 033
Complete the table of values below for the given rule. (2 marks)
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Linear Relationships, SM-Bank 032 MC
Which rule correctly describes the pattern below?
Linear Relationships, SM-Bank 031 MC
Which rule correctly describes the pattern below?
Linear Relationships, SM-Bank 030
Michael is making a geometric pattern using sticks to make pentagons.
The first 3 shapes in the pattern are shown below.
- Draw the next shape in the pattern. (1 mark)
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- Complete the table of values using the pattern. (2 marks)
Number of pentagons Number of sticks - Write the rule connecting the number of sticks
to the number of pentagons . (2 marks)
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- How many sticks will be needed to make
pentagons? (2 marks)
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a.
b.
c.
d.
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a.
b.
c.
d.
Linear Relationships, SM-Bank 029
Michael is making a geometric pattern using pins to form triangles.
The first 3 shapes in the pattern are shown below.
- Draw the next shape in the pattern. (1 mark)
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- Complete the table of values using the pattern. (2 marks)
Number of triangles Number of pins - Write the rule connecting the number of pins
to the number of triangles . (2 marks)
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- How many pins will be needed to make
triangles? (2 marks)
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a.
b.
c.
d.
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a.
b.
c.
d.
Linear Relationships, SM-Bank 028
A weekly gym membership can be purchased for different numbers of classes, as shown in the table below.
| Number of classes | 1 | 2 | 3 | 4 |
| Cost in dollars | 42 | 72 | 102 | 132 |
What is the rule connecting the number of classes purchased and the cost in dollars? (2 marks)
Linear Relationships, SM-Bank 027
A surfboard can be hired for different numbers of hours, as shown in the table below.
| Number of hours | 1 | 2 | 3 | 4 |
| Cost in dollars | 35 | 50 | 65 | 80 |
What is the rule connecting the number of hours of surfboard hire and the cost in dollars? (2 marks)
Linear Relationships, SM-Bank 026 MC
| Dress sizes | |||||
| Country A | 6 | 8 | 10 | 12 | 14 |
| Country B | 36 | 38 | 40 | 42 | 44 |
What is the rule connecting dress sizes in Country A and Country B?
Linear Relationships, SM-Bank 025 MC
Linear Relationships, SM-Bank 024
The table below has a pattern. The top and bottom numbers are connected by a rule.
| Top Number | ||||
| Bottom Number |
- What is the rule connecting the top number and the bottom number? (2 marks)
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- What is the bottom number when the top number is
? (2 marks)
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Linear Relationships, SM-Bank 023
The table below has a pattern. The top and bottom numbers are connected by a rule.
| Top Number | 21 | 18 | 15 | 12 |
| Bottom Number | 7 | 6 | 5 | 4 |
- What is the rule connecting the top number and the bottom number? (2 marks)
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- What is the bottom number when the top number is
? (2 marks)
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Linear Relationships, SM-Bank 022
The table below has a pattern. The top and bottom numbers are connected by a rule.
| Top Number | 2 | 4 | 6 | 8 |
| Bottom Number | 8 | 16 | 24 | 32 |
- What is the rule connecting the top number and the bottom number? (2 marks)
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- What is the bottom number when the top number is 15? (2 marks)
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Linear Relationships, SM-Bank 022
Sabre is saving to buy a new skateboard.
After one week she has saved $11.
She then saves the same amount of money each week.
| Week | 1 | 2 | 3 | 4 |
| Total Amount Saved | $11 | $18 | $25 | $32 |
- State the rule linking the week and the total amount saved. (2 marks)
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- How much money will Sabre have saved by the end of week 10? (2 marks)
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Linear Relationships, SM-Bank 020 MC
Jerry's wage is calculated using an amount per hour plus a travel allowance.
This table shows some of Jerry's wage amounts.
| Hours | 1 | 2 | 3 | 4 |
| Wage | $85 | $140 | $195 | $250 |
How are Jerry's wages calculated?
- $40 per hour + $35 travel allowance
- $60 per hour + $25 travel allowance
- $55 per hour + $30 travel allowance
- $45 per hour + $40 travel allowance
Linear Relationships, SM-Bank 019 MC
A plumber calculates the price of a job using a service fee and an amount per hour.
This table shows some of the job prices.
| Hours | 1 | 2 | 3 | 4 |
| Job price | $90 | $130 | $170 | $210 |
How are the jobs calculated?
- $50 service fee + $40 per hour
- $58 service fee + $32 per hour
- $60 service fee + $30 per hour
- $70 service fee + $20 per hour
Linear Relationships, SM-Bank 018 MC
Jennifer had 20 cupcakes for sale at the beginning of the day. The table shows the number of cupcakes at the beginning of each hour.
| Hour | 0 | 1 | 2 | 3 |
| Cupcakes | 20 | 16 | 12 | 8 |
The table also shows a pattern in the number of cupcakes sold. The correct pattern connecting the hour and the number of cupcakes is:
Linear Relationships, SM-Bank 017 MC
This table shows the growth of a plant, in centimetres, over a 4 week period.
| Week | 1 | 2 | 3 | 4 |
| Growth (cm) | 3 | 4 | 5 | 6 |
The table also shows a pattern in the growth of the plant. The correct pattern connecting the week and the growth is:
Linear Relationships, SM-Bank 016 MC
This chart shows the longest run, in kilometres, that Deek ran each week over 4 weeks.
| Week | 1 | 2 | 3 | 4 |
| Longest Run (km) | 8 | 11 | 14 | 17 |
The chart also shows a pattern in Deek's running. The correct pattern connecting the week and the longest run is:
Linear Relationships, SM-Bank 015 MC
The table below has a pattern. The top and bottom numbers are connected by a rule.
What is the top number when the bottom number is 27?
Linear Relationships, SM-Bank 014 MC
The table below has a pattern. The top and bottom numbers are connected by a rule.
What is the top number when the bottom number is 28?
Linear Relationships, SM-Bank 013
Plot and label the following points on the grid below. (2 marks)
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Linear Relationships, SM-Bank 012
Christian draws a triangle on a number plane as shown below.
What are the coordinates of the point at vertex
Linear Relationships, SM-Bank 011
Karl draws a rectangle on a number plane as shown below.
What are the coordinates of the point
Linear Relationships, SM-Bank 010
Plot and label the following points on the grid below. (2 marks)
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Linear Relationships, SM-Bank 009
Plot and label the following points on the grid below. (2 marks)
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Linear Relationships, SM-Bank 008 MC
The co-ordinates of the point
Linear Relationships, SM-Bank 007 MC
Linear Relationships, SM_Bank 006 MC
The co-ordinates of the point
Linear Relationships, SM-Bank 005 MC
The co-ordinates of the point
Linear Relationships, SM-Bank 004 MC
The co-ordinates of the point
Linear Relationships, SM-Bank 003 MC
The co-ordinates of the point
