Welcome KS3 students! Ready for a thrilling adventure through the fortress of numbers called Algebra? We will be brushing up on Algebraic expressions and equations in this quiz. Do remember, Algebra is like a puzzle with numbers, symbols, and letters that hold the magic key to unlock answers. So, strap up your number boots and let's get started!

1.

Find out v from the equation 2(3v - 7) = 10

5

4

3

2

First distribute the 2 inside the parenthesis giving: 6v - 14 = 10. Then add 14 to both sides and subsequently divide by 6 to solve for v, which gives v = 4.

2.

Solve the equation: 4f + 2 = 14

2

3

5

8

Subtract 2 from both sides of the equation to get: 4f = 12. Divide by 4 to isolate f. You get f = 3.

3.

What is m in the equation 2m ÷ 3 = 6?

9

10

8

6

Multiply both sides by 3 to cancel out the division by 3, giving 2m = 18. Dividing both sides by 2, we get m = 9.

4.

If y ÷ 5 + 1 = 4, solve for y.

15

20

25

30

Subtract 1 from both sides to get y รท 5 = 3. Multiply both sides by 5 to solve for y, so y = 15.

5.

What is the value of 'b' in the equation 3b + 1 = 7?

2

3

6

1

First subtract 1 from both sides, giving you 3b = 6. Divide both sides by 3 to find b, which gives b = 2.

6.

Calculate p if p7 - 14 = 28

8

9

6

5

Add 14 to both sides to get p7 = 42. Divide both sides by 7 and we get p = 6.

7.

What is the solution to the equation 3x - 5 = 10?

15

5

3

7

To solve for 'x', start by adding 5 to both sides of the equation. Now you have 3x = 15. Divide both sides by 3 to get x = 5.

8.

What simplification can be made to 5y + 4y?

20y

9y

5y^{2}

9y^{2}

5y + 4y is essentially 5 + 4, times 'y'. So, the answer simplifies to 9y.

9.

Simplify the term 3a + 9a - 5

12a

12a - 5

15a

15a - 5

3a and 9a can be combined because they have the same variable. Their sum is 12a. Therefore, the simplified term will be 12a - 5.

10.

If we have 2 apples and add 3 more apples, which of the following algebraic representations depict this situation correctly?

2a + 5

2a + 3a

5a

3a + 2

Here, 'a' stands for 'apples', so the algebraic expression '2a + 3a' translates to 2 apples plus 3 apples.