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Linear Relationships - Diagnostic Quiz 1

Question 1 of 24

The adjacent table shows a linear relationship for the values of $x$ and $y$. What are the values of $a$ and $b$?

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Linear Relationships - Diagnostic Quiz 1

Question 2 of 24

Which diagram shows the graph of $y = -2x-2$?

A

B

C

D

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Linear Relationships - Diagnostic Quiz 1

Question 3 of 24

What is the linear equation that describes the pattern in the adjacent table?

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Linear Relationships - Diagnostic Quiz 1

Question 4 of 24

$x+2y=9$ passes through the point:

A

$(-1,4)$

B

$(3,6)$

C

$(-3,3)$

D

$(1,4)$

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Linear Relationships - Diagnostic Quiz 1

Question 5 of 24

Which diagram shows the graph of $x - 2y + 4 = 0$

A

B

C

D

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Linear Relationships - Diagnostic Quiz 1

Question 6 of 24

What is the gradient of the line?

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Linear Relationships - Diagnostic Quiz 1

Question 7 of 24

A straight line has the equation $y=-2x+3$, what is its gradient?

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Linear Relationships - Diagnostic Quiz 1

Question 8 of 24

A straight line has the equation $2x + y - 1 = 0$, what is the $y$-intercept?

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Linear Relationships - Diagnostic Quiz 1

Question 9 of 24

What is the slope of the graph?

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Linear Relationships - Diagnostic Quiz 1

Question 10 of 24

What are the co ordinates of the $y$-intercept?

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Linear Relationships - Diagnostic Quiz 1

Question 11 of 24

Given the linear equation $2x + y - 4 = 0$ and the adjacent table. The values of $a$ and $b$ are ?

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Linear Relationships - Diagnostic Quiz 1

Question 12 of 24

What is the gradient and $y$-intercept of the line $y = \dfrac{2}{3}x - 1$ ?

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Linear Relationships - Diagnostic Quiz 1

Question 13 of 24

What is the constant of variation $k$, if $p$ varies directly with $q$ and $p =30$ when $q=15$?

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Linear Relationships - Diagnostic Quiz 1

Question 14 of 24

The amount of petrol used by a car is directly proportional to the distance traveled. A car uses 8 L of petrol to travel 120 km. The amount of petrol used to travel 150 km at the same rate is?

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Linear Relationships - Diagnostic Quiz 1

Question 15 of 24

The adjacent table shows the values of $x$ and $y$ which are in direct proportion. The values of $a$ and $b$ are?

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Linear Relationships - Diagnostic Quiz 1

Question 16 of 24

An 8 litre can of paint will cover $25\,\rm{m^2}$. The number of litres of paint to cover a wall $120\,\rm {m^2}$ in area is?

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Linear Relationships - Diagnostic Quiz 1

Question 17 of 24

The amount of water dripping into a bucket is directly proportional to the length of time that a tap drips. Water dripping from a tap fills a 4 litre bucket in 3 hours. How long will it take to fill a 5 litre bucket?

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Linear Relationships - Diagnostic Quiz 1

Question 18 of 24

The cost $(C)$ of a mobile phone plan for a certain number of months $(m)$ is given by $C=40m+5$. The cost of a plan for 6 months is?

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Linear Relationships - Diagnostic Quiz 1

Question 19 of 24

The equation for the age of a certain computer (t in years) to its current value (V in dollars) is given by $V=-210t+1200$. What is the value of the computer in 3 years?

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Linear Relationships - Diagnostic Quiz 1

Question 20 of 24

A woggle factory produces widgets. The daily fixed cost is $240 and the cost per widget is $5. Which of the following equations represents this information?

A

$C=240n+5$

B

$C=5n+240$

C

$C=240n-5$

D

$C=5n-240$

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Linear Relationships - Diagnostic Quiz 1

Question 21 of 24

From the adjacent graph determine how many $AUD are needed to purchase 60 Euros.

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Linear Relationships - Diagnostic Quiz 1

Question 22 of 24

The cost of hiring a taxi is $5.00 flagfall and $3.50 per kilometre traveled. How far can a passenger travel for $110?

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Linear Relationships - Diagnostic Quiz 1

Question 23 of 24

The currency exchange rate on a particular day was $A$1=US$0.71$ .How many Australian dollars could be bought for $120 US dollars?

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Linear Relationships - Diagnostic Quiz 1

Question 24 of 24

The equation $C = 5n + 120$ models the cost of producing a certain number of widgets. What could 120 represent?

A

The number of widgets sold

B

The cost per widget

C

The number of widgets made

D

The fixed daily cost

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