Hello KS3 Students! Welcome to a fun-filled journey into the world of Algebra through this quiz. It's time to put your thinking caps on and rise to the challenge. Get ready to solve these brain-tickling problems about expressions and equations. Let your mathematical prowess shine through! Remember, maths is all about practice and understanding. Let the algebraic adventure begin!

1.

What replaces 'y' in the equation 3y = 21?

6

7

8

9

Solving for 'y' you divide both sides by 3. Hence, y = 7.

2.

What is the solution of the equation 8x - 3 = 13?

1

2

3

4

Add 3 from both sides first to get 8x = 16, then divide by 8 to get x = 2.

3.

What is the solution for the equation 4x + 2 = 14?

1

2

3

4

First subtract 2 from both sides to get 4x = 12, then dividing by 4 gives you x = 3.

4.

Simplify the expression 4a + 2a.

6a

8a

2a

4a

When you add the like terms, 4a + 2a, it gives you 6a.

5.

What is the simplified form of the expression 4y + 5 - 2y?

2y + 5

10y

2y - 5

6y + 5

Combine like terms. 4y - 2y = 2y. Therefore 2y + 5 is the simplified form.

6.

If x = 5 and y = 3, what is the value of the expression 2x - y?

5

6

7

8

Substitute x with 5 and y with 3 in the expression. Hence, 2x - y = 10 - 3 = 7.

7.

What is the value of 'x' in the equation 2x = 16?

4

8

6

2

If 2x equals 16, then dividing both sides by 2 gives you x = 8.

8.

Simplify the expression 4x + 3x - 2x.

9x

5x

6x

7x

4x + 3x gives 7x and then subtracting 2x gives 5x.

9.

What is the solution of the equation 6x + 2 = 14?

1

2

3

4

Subtract 2 from both sides to get 6x = 12. Dividing by 6 gives x = 2.

10.

Simplify the expression 3x + 2x?

6x

5x

x

x^{2}

With the like terms 3x and 2x, when you add them up it gives 5x.