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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a. (i)
(ii)
b.
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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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a.
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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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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.