*This Math quiz is called 'Algebra - Equations - Basic' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.*

* It costs only $12.50 per month to play this quiz and over 3,500 others that help you with your school work. You can subscribe on the page at Join Us*

Basic equations have something called expressions. E = MC^{2} is a famous equation formulated by Math genius Albert Einstein and deals with his theory of relativity. Whole books have been written about it!

This Algebra quiz will start you on the road to understanding equations in general.

1.

If 3a + 2 = a + 6, then which of these is incorrect?

3a + 2 - a = 6

2a = 6 + 2

2a = 4

a = ^{4}⁄_{2}

To correct the equation it should read 2a = 6 - 2. All of the above leads us to the conclusion that a = 2

2.

Which of these is not an equation?

6/3 = 2

65 + 35 = 100

5 - 6 = 8 - 9

2 x 3 = 7 - 2

In the correct answer, the expressions on either side of the equals sign are not the same value and therefore it is not an equation

3.

If x + 4 = b, what is the value of x?

4b

-4b

b + 4

b - 4

When + 4 crosses over to the other side of the equals sign it must be changed to - 4

4.

If 9x - 2 = 7, then which of the following is not correct?

9x = 7 + 2

9x = 9

x = ^{9}⁄_{9}

x = 2

Everything was going fine until the last item! To be correct, the last item would need to be x = 1

5.

If you are given an equation, what will you have done to it when you have found the answers?

Soaked it

Solved it

Squared it

Stuffed it

A 'solution' is what you are looking for when trying to solve an equation

6.

If 4 + x + 8 = 24, then which of the following is correct?

4 + x = 16

12 + x = 16

4x - 8 = 16

4x + 8 =16

You must firstly have ascertained that x = 12

7.

Which of the following numbers is a possible value for x in the equation x^{3} = x^{2} + 18?

2

3

4

5

8.

What is the name give to an equation that doesn't balance on either side of the equals sign?

Inaccurate

Inept

Invalid

There is no such thing

Either the expressions balance and it is an equation or the expressions don't balance and it isn't an equation!

9.

If a = 5 and b = 8, then which of the following is correct?

8 + a + 8 + b = 104

8 + a + 8b = 104

8a + 8 + b = 104

8a + 8b = 104

10.

An equation must have two equal what?

Examples

Expressions

Extensions

Extractions

You must have one expression on one side of the equals sign and another expression on the other side. The two sides must share the same value. If one side equals 56 then the other side must also equal 56