5999b Skills Check For Sac - Chapters 16, 17 & 18

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2x+2y=3What is the gradient of the equation above?

5999b Skills Check For Sac - Chapters 16, 17 & 18 - Quiz

About This Quiz

Check your skills on this quiz - look at the explanations on the questions you get wrong, and see me about things you don't understand.
There is also a written section to this quiz. You will need to complete it, and have it corrected, before you sit the SAC.

Quiz Preview

2.

2x+2y=3What is the y intercept of the equation above?

Explanation
App - equationlinear - go across to page 1.5

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3.

2x+2y=3Rearrange the equation above to General Form? (y=a+bx)

Explanation
App - equationlinear - go across to page 1.5
makesubject will do the same thing

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4.

A line has a gradient of 4 and passes through the point (1, 2). What is the equation of the line in General Form? y=a+bx

Explanation
gradpoint

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5.

What is the equation for the line above? (y=a+bx)

Explanation
twopoints or intercepts should give the answer

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6.

What is the equation for the line above?

Explanation
Apps don't help with vertical and horizontal lines. You have to know them. Vertical is x=, horizontal is y=

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7.

What is the point of intersection between the lines that define the two inequalties above?

Explanation
Answer in coordinate form should be (-3, 3). Other variations are INCORRECT, but have not been penalised.

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8.

What is the equation of the line that passes through the point (2, 5) and is parallel to the equation y=-0.5x+5?

Explanation
makesubject will give you the parallel gradient - so will equationlinear.
Then - you can use gradpoint to find the equation.

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9.

From the graph above, is the origin included in the feasible region?
- No
- Yes
Correct Answer

A. No

Explanation

The origin is (0, 0) and it is not coloured in, so, its not in the feasible region.

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10.

WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.How much money does WebDev need to make each year before it starts to make a profit?

Correct Answer
$18700

Explanation
Breakeven app ... NOTE ... you must use the Integer values when the data is discrete.

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11.

WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.How many websites does WebDev need to sell each year before it starts to make a profit?

Correct Answer
22

Explanation
Breakeven app ... NOTE ... you must use the Integer values when the data is discrete.

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12.

WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.If they make a profit of approximately $30000, how many sites did they sell?

Correct Answer
76

Explanation
Breakeven populates the memory with the retail, fixed and variable costs.
profitloss will then give you the values for profit - units is the number of units sold, profit is the amount of profit made (it can be negative - that's a loss) and Revenue tells you how much money was made before costs.

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13.

WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.If the revenue is $95000 how much profit will they make?

Correct Answer
$49600

Explanation
Breakeven populates the memory with the retail, fixed and variable costs.
profitloss will then give you the values for profit - units is the number of units sold, profit is the amount of profit made (it can be negative - that's a loss) and Revenue tells you how much money was made before costs.

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14.

What is the value of 'n' for the graph above?

Correct Answer
3

Explanation
Use your chart - match the shape - look at the value of 'n'

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15.

What is the equation for the graph above? (x^2 is x squared)

Correct Answer
y=1/3x^3

Explanation
Use your chart - match the shape - look at the value of 'n'
Then, use the app - pointequ - to plot the point and the value for 'n' - go to page 1.5 for your answer
If you wrote y=0.33x^3, you were close, but should have recognised it was 1/3

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16.

What is the value of n for the graph above?

Correct Answer
-1

Explanation
Use your chart - match the shape - look at the value of 'n'

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17.

What is the starting time for an athlete who is 13 years old?

Correct Answer
11:00am
11:00 am

Explanation
Note : open circle means this value is NOT included - and you need to go to the next line up.

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18.

What is the youngest age a competitor can be who is starting at 10:00am?

Correct Answer
11
11 years
11 years old

Explanation
Note : closed circle means this value IS included

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19.

What is the equation for the graph that is formed from the values above?

Correct Answer
y=3/x

Explanation
plotvalues - go to page 1.5 to see what the shape of the graph is. Its a hyperbola so n = -1
pointequ - use the value of n, and one point (1, 3) to solve the y=kxn equation
go to page 1.7 and write out the equation from the top of the page

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20.

WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.Write the revenue equation for this problem, using R as revenue and 'n' as the number of sites sold.

Correct Answer
r=850n

Explanation
Breakeven will give you the equations, simply by putting in the retail, fixed and varied costs

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21.

WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.Write the cost equation for this problem, using C as cost and 'n' as the number of sites sold.

Correct Answer
C=12000+300n
C=300n+12000

Explanation
Breakeven will give you the equations, simply by putting in the retail, fixed and varied costs

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22.

WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.Write the profit equation for this problem, using P as Profit and 'n' as the number of sites sold.

Correct Answer
P=550n-12000
P=-12000+550n

Explanation
Breakeven will give you the equations, simply by putting in the retail, fixed and varied costs

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Mar 15, 2023

Quiz Edited by
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Aug 09, 2014

Quiz Created by
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5999b Skills Check For Sac - Chapters 16, 17 & 18

2x+2y=3What is the gradient of the equation above?

Quiz Preview

2x+2y=3What is the y intercept of the equation above?

2x+2y=3Rearrange the equation above to General Form? (y=a+bx)

A line has a gradient of 4 and passes through the point (1, 2). What is the equation of the line in General Form? y=a+bx

What is the equation for the line above? (y=a+bx)

What is the equation for the line above?

What is the point of intersection between the lines that define the two inequalties above?

What is the equation of the line that passes through the point (2, 5) and is parallel to the equation y=-0.5x+5?

From the graph above, is the origin included in the feasible region?

WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.How much money does WebDev need to make each year before it starts to make a profit?

WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.How many websites does WebDev need to sell each year before it starts to make a profit?

WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.If they make a profit of approximately $30000, how many sites did they sell?

WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.If the revenue is $95000 how much profit will they make?

What is the value of 'n' for the graph above?

What is the equation for the graph above? (x^2 is x squared)

What is the value of n for the graph above?

What is the starting time for an athlete who is 13 years old?

What is the youngest age a competitor can be who is starting at 10:00am?

What is the equation for the graph that is formed from the values above?

WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.Write the revenue equation for this problem, using R as revenue and 'n' as the number of sites sold.

WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.Write the cost equation for this problem, using C as cost and 'n' as the number of sites sold.

WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.Write the profit equation for this problem, using P as Profit and 'n' as the number of sites sold.