algebra
DESCRIPTION
Algebra. Merit. Simplify. Simplify by factorising. Simplify by taking out the common factor (2x) out of everything. Make W the subject. Make W the subject. Solve for x and y. Solve for x and y. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/1.jpg)
Algebra
Merit
![Page 2: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/2.jpg)
Simplify
![Page 3: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/3.jpg)
Simplify by factorising
![Page 4: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/4.jpg)
Simplify by taking out the common factor (2x) out of everything
![Page 5: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/5.jpg)
Make W the subject
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Make W the subject
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Solve for x and y
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Solve for x and y
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• A square warehouse is extended by 10 metres at one end. The area of the extended warehouse is 375m2 Find the original area of the warehouse.
![Page 10: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/10.jpg)
Area = 152 =225 m2
• A square warehouse is extended by 10 metres at one end. The area of the extended warehouse is 375m2 Find the original area of the warehouse.
![Page 11: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/11.jpg)
Simplify
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Simplify
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• Elton has more than twice as many CDs as Robbie. Altogether they have 56 CDs. Write a relevant equation and use it find the least number of CDs that Elton could have.
![Page 14: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/14.jpg)
• Elton has more than twice as many CDs as Robbie. Altogether they have 56 CDs. Write a relevant equation and use it find the least number of CDs that Elton could have.
![Page 15: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/15.jpg)
• Elton purchases some DVDs from the mall. He buys four times as many music DVDs as movie DVDs. The music DVDs are $2.50 each. The movie DVDs are $1.50 each. Altogether he spends $92.Solve the equations to find out how many music DVDs that he purchased.
![Page 16: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/16.jpg)
• Elton purchases some DVDs from the mall. He buys four times as many music DVDs as movie DVDs. The music DVDs are $2.50 each. The movie DVDs are $1.50 each. Altogether he spends $92.Solve the equations to find out how many music DVDs that he purchased.
![Page 17: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/17.jpg)
Simplify
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Simplify
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One of the solutions of 4x2 + 8x + 3 = 0 is x = -1.5
• Use this solution to find the second solution of the equation.
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One of the solutions of 4x2 + 8x + 3 = 0 is x = -1.5
• Use this solution to find the second solution of the equation.
• Must be one of the brackets
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One of the solutions of 4x2 + 8x + 3 = 0 is x = -1.5
• Use this solution to find the second solution of the equation.
• We need 2x to make 4x2
• We need +1 to make ‘3’
![Page 22: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/22.jpg)
One of the solutions of 4x2 + 8x + 3 = 0 is x = -1.5
• Use this solution to find the second solution of the equation.
• We need 2x to make 4x2
• We need +1 to make ‘3’
![Page 23: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/23.jpg)
The volume of the box shown is 60 litres. Find the dimensions of the box.
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60 litres = 60, 000 cm3
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60 litres = 60, 000 cm3
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Dimensions are 50cm:30cm:40cm
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• The triangle drawn below is equilateral. The perimeter is 30 cm. Write down two equations and solve them simultaneously to find the values of x and y.
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• The triangle drawn below is equilateral. The perimeter is 30 cm. Write down two equations and solve them simultaneously to find the values of x and y.
![Page 29: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/29.jpg)
Simplify
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Factorise
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Express as a single fraction
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Express as a single fraction
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Solve the equation
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Solve the equation
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Simplify
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Simplify
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There are V litres in Claudia’s water tank. There are d “drippers” on the irrigation hose from the tank to the garden. Each dripper
uses x litres of water per day.
• Write an expression to show the total amount of water, T, left in the tank after one day.
![Page 38: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/38.jpg)
There are V litres in Claudia’s water tank. There are d “drippers” on the irrigation hose from the tank to the garden. Each dripper
uses x litres of water per day.
• Write an expression to show the total amount of water, T, left in the tank after one day.
![Page 39: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/39.jpg)
There are V litres in Claudia’s water tank. There are d “drippers” on the irrigation hose from the tank to the garden. Each dripper
uses x litres of water per day.
• At the end of the day on the 1st of April there were 150 litres of water in the tank. The next day, 4 drippers were used to irrigate the garden and at the end of the day there were 60 litres of water left.
• Use the expression you gave above to show how much water each dripper used on that day.
![Page 40: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/40.jpg)
There are V litres in Claudia’s water tank. There are d “drippers” on the irrigation hose from the tank to the garden. Each dripper
uses x litres of water per day.
• At the end of the day on the 1st of April there were 150 litres of water in the tank. The next day, 4 drippers were used to irrigate the garden and at the end of the day there were 60 litres of water left.
• Use the expression you gave above to show how much water each dripper used on that day.
![Page 41: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/41.jpg)
Graeme is designing a path around the front of his garden. His design is shown below.
The width of the path is x metres.
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Graeme has sufficient paving to make a path with a total area of 22 m2.
• The area of the path can be written as
• 4x+3x2 +(5-2x)x=22. • Rewrite the equation
and then solve to find the width of the path around the front of the garden.
The width of the path is x metres.
![Page 43: Algebra](https://reader035.vdocument.in/reader035/viewer/2022062310/568164d0550346895dd6fcaa/html5/thumbnails/43.jpg)
Graeme has sufficient paving to make a path with a total area of 22 m2.
The width of the path is x metres.