In your KS3 Maths journey, algebra is a part you'll spend a lot of time tackling. Sometimes, you'll face equations with letters on both sides of the equals sign, and that's what this quiz is all about. Remember the handy rule: 'change sides, change signs,' and you'll be on the right track.

Click to See How Quizzes Help Learning1.

Look at this equation: 10x + 18x = 7x + 189. Now decide which of the following is not correct.

10x + 18x + 7x = 189

10x + 18x - 7x = 189

21x = 189

x = 9

When we rewrite the equation as 10x + 18x - 7x = 189, we've moved the 7x from one side of the equals sign to the other. That means that it changes from a positive to a negative number

2.

What is the value of c in the following equation: 4c = 2c + 75?

8

37.5

75

150

2c = 75

3.

Look at this equation: 10 + 18 = 7x. Now decide which of the following is not correct.

7x = 10 + 18

7x = 10 - 18

7x = 28

x = 4

First get the letter x onto the left hand side and then, in stages, break down its value

4.

What is the value of d in the following equation: 13d + 8 = 7d + 3d + 35?

7

9

11

13

'Write it down and work it out'. There is no alternative to a step by step approach!

5.

What is the value of e in the following equation: 2(e + 5) = 44?

0.7

7

17

27

2(e + 5) = 44 is the same as 2e + 10 = 44 so 2e = 34. 34 divided by 2 = 17

6.

What is the value of f in the following equation: 7(f - 5) = 4(f - 3.5)?

7

9

11

13

7(f - 5) = 4(f - 3.5) is the same as 7f - 35 = 4f - 14. f must equal 7

7.

4(a + 7) = 40 is the same as which of the following?

4 - a - 7 = 40

4 - a + 7 = 40

4 + a + 7 = 40

4a + 28 = 40

Multiply the 4 (outside of the brackets) with both the a and the 7 (inside the brackets)

8.

x + 7 = 10 + 12 is the same as which of the following?

x = 10 + 12 - 7

x = 10 + 12 + 7

x = 17 + 19

x = 70 + 84

When the 7 crosses over to the other side it becomes - 7

9.

Look at the equation 4(a - 4) = 3a - 9. Now decide which of the following is not correct.

4a - 16 = 3a - 9

a = -9 + 16

a = 7

a = 25

Simplifying equations makes them a lot easier to solve

10.

2x + 3y = 3y + 7 is the same as which of the following?

2x = 6y + 7

2x = 7

y = 2x - 7

y = 2x + 7

When + 3y crosses over to the other side it becomes - 3y and cancels out the 3y that was already on that side

**Unlimited Quizzes Await You! 🚀**

Hey there, quiz champ! 🌟 You've already tackled today's free questions.

Ready for more?

Ready for more?

🔓 Unlock UNLIMITED Quizzes and challenge yourself every day. But that's

not all...

not all...

🔥 As a Subscriber you can join our thrilling "Daily Streak" against other

quizzers. Try to win a coveted spot on our Hall of Fame Page.

quizzers. Try to win a coveted spot on our Hall of Fame Page.

Don't miss out! Join us now and keep the fun rolling. 🎉

**Unlimited Quizzes Await You! 🚀**

Hey there, quiz champ! 🌟 You've already tackled today's free questions. Ready for more?

🔓 Unlock UNLIMITED Quizzes and challenge yourself every day. But that's not all...

🔥 As a Subscriber you can join our thrilling "Daily Streak" against other quizzers. Try to win a coveted spot on our Hall of Fame Page.

Don't miss out! Join us now and keep the fun rolling. 🎉