Hello KS3 students! We know how terrific you are in maths, especially in playing with algebraic expressions and equations. This quiz is designed to test your strength in fun and exciting ways. So let's dive straight into the action and see how well you can fare!

1.

If x = 1 and y = 2, what is the value of the equation x + y^{2}?

3

5

4

6

2.

If y = 5, what is the value of 2y^{2}?

20

50

25

100

Substituting 'y' with '5' in the equation gives '2 x 5^{2}' i.e., '2 x 25', which equals '50'.

3.

What is the solution of the equation 4x - 3 = 21?

7

4

6

10

First, add '3' to '21' to get '24' and then divide by '4' which gives you '6'. So, the correct answer is '6'.

4.

What is the simplified form of 2x^{2} - 3x^{2}?

-x

-x^{2}

-5x^{2}

5x^{2}

The correct answer is '-x^{2}', as subtracting '3x^{2}' from '2x^{2}' gives you '-x^{2}'.

5.

If x = 1 and y = 2, what is the value of 2x + y?

5

4

6

3

The correct answer is 4, as substituting 'x' with 1 and 'y' with 2 gives us '(2 x 1) + 2' which equals 4.

6.

What is the value of 3x^{2} for x = 2?

12

18

6

24

The right answer is 12, as substituting 'x' with 2 in the equation gives '3 x 2^{2}' i.e., '3 x 4', which equals '12'.

7.

What is the product of 3x and 2x?

6

5x

6x^{2}

6x

The correct answer is 6x^{2} as when you multiply '3x' and '2x', you multiply the coefficients (3 and 2) to get 6 and then, x and x to get x^{2}.

8.

What is the simplified form of 3x + 4x?

12x

7x

7

12

The correct answer is 7x. You have to add the coefficients '3' from '3x' and '4' from '4x' to get '7' and the variable remains the same, i.e., 'x'.

9.

What is the value of x in the equation, 5x = 20?

5

10

4

15

The correct answer is '4', as dividing '20' by '5' gives us '4' which is the value of 'x' in the equation.

10.

What is the solution of the equation, 2x + 3 = 11?

7

4

8

3

To find 'x', you have to subtract '3' from '11' to get '8' and then divide by '2' which gives you '4'. Therefore, the correct answer is 4.

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^{2}' i.e., '1 + 4', which equals '5'.