Hey, budding mathematician! Get ready for this dazzling downfall into the world of algebra. Your mission, if you choose to accept it, is to tackle these 10 intriguing questions on algebraic expressions and equations. So, don't let those x's and y's intimidate you. Seize your pencil, power up the grey cells and conquer this Maths quiz. Good luck! Let's crunch some numbers!

1.

Rewrite '50 = 5x' in terms of 'x'.

x = 5

x = 10

x = 50

x = 55

If you divide 50 by 5, you get the value of 'x', which is 10.

2.

Simplify '(2 + 6)x - 8x'.

0

8x

16x

First do the brackets '(2 + 6)x' equals '8x'. The expression simplifies to '8x - 8x' which is '0'.

3.

Rewrite the expression '12x + 7x' in its simplest form.

19x

7x^{2}

5x

19

Adding the like terms, '12x + 7x' simplifies to '19x'.

4.

Simplify '4(y - 5) + 2y'.

6y - 20

2y - 20

4y + 20

2y + 10

After distributing and combining terms, '4(y - 5) + 2y' simplifies to '6y - 20'.

5.

If '3a + 2 = 11', what is the value of 'a'?

4

3

5

If you subtract 2 from 11 and then divide by 3, you get the value of 'a' which is 3.

6.

Solve for 'x' in the equation '2(x - 4) = 6'.

3

7

2

8

First divide the equation by 2, then add 4 to get 'x', which is equal to 7.

7.

'2x - 3 = 17'. What is the value of 'x'?

8

10

9

11

If you add 3 to 17 and then divide by 2, you get the value of 'x', which is 10.

8.

The cost of 5kg of apples is '5y'. How much does 1kg of apples cost?

y

5y

If 5kg cost '5y', then 1kg would cost 'y'.

9.

If '7x + 4 = 25', what is the value of 'x'?

3

4

3

If you subtract 4 from 25 and then divide by 7, you will get the value of x, which is 3.

10.

Simplify '3(2x - 1) + 6'.

6x - 3

6x + 3

12x - 3

After distributing and combining terms, '3(2x - 1) + 6' simplifies to '6x + 3'.