Revision Junior Algebra

Revision Junior Algebra

I think of a number, add eight and the result is twelve.Remember to balance your equation.

What you do to one side of equals you must do to the other side.(balance your equation)

Write the answer for your variable.

Some results are obvious as you can add and subtract in your head, but the process is important as the problems get more difficult.

I think of a number, subtract eight and the result is twelve.Remember to balance your equation.

What you do to one side of equals you must do to the other side.(balance your equation)


Here are words we use with Algebra.Expression Like termsEquation SolveExpand Take out of bracketsFactorise Put into bracketsVariable Use a letter


Four times a number, add ten and the result is twenty six.What is my number?

What you do to one side of equals you must do to the other side, (balance your equation).


4 lots of x equals 16

So one x equals 4.

Writing down a process is important asit makes it easier for you to find an errorif you should make one.


1. Five times a number, add ten and the result is thirty five.

2. I take ten away from my number and the result is fifteen.

3. One quarter of my number is twelve.

4. Twice my number and subtract eight gives me eighteen.

5. Three tenths of my number plus ten gives a result of 40.

Write equations for the following word problems and solve.


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5

Solve the following equations.

Answers on next slide


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Solve the following equations with x on each side of equals.

Balance the equation by subtracting 5 from both sidesAnd 2x from both sides.

Balance equation (divide by HCF)

You should end with x =


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5



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Multiply both sides by 3, why?

35 x

5

3x

balance

Multiply by reciprocal

Write as x =


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Solve the following equations with brackets.

Divide by common factor, 3

solve

Expand bracket

Solve

You can use either method, it depends on how well you know your tables. You have to be able to recognise common factors.


Solve the following equations with brackets.

These get progressively more difficult.

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5


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10x

Review your text book Chapter 14

Youtube solving equations

ixl.com

Bitesizemaths.co.uk

Or use the The NZ Centre of Mathematics worksheets


Solve the following equations.All sides are the same length.If one side is (x + 4)cm and the perimeter is 70cm, what is the value of x?Hint write an equation first.Solve the equation.You now have a value for x cm.


Solve the following equations.All sides are the same length.If one side is (x + 4)cm and the perimeter is 70cm, what is the value of x?Hint write an equation first.Solve the equation.You now have a value for x cm.

Either way


Solve the following equations.If the perimeter of the shape L is 104 cm what is the value of x?

If you know the value of x then work out the area of L.


Solve the following equations.If the perimeter of the shape L is 104 cm what is the value of x? x + x + 6 + 2 + 2x + 2 + x + 2x + x + 6 = 104 8x + 16 = 104 8x = 88 x = 11

If you know the value of x then work out the area of L. Area = x x (3x +6) 11 x 39 = 426 cm2

Plus 2 x 22 = 44 cm2

Total = 470 cm2

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Revision Junior Algebra