Worksheets & Help

Welcome to the Math Salamanders Balancing Math Equations Worksheets.

Here you will find a wide range of free printable Worksheets,
which will help your child learn how to balance an equation, with the amount on either side of the equal sign being the same value.

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Help balancing math equations

When you balance an equation, you make sure that both sides of your equation are equal to the same value.

The answer to the expression on the left side of the equals sign (=) should be equal to the value on the right side of the equals sign.

Balancing equations is a great way to start your algebra journey without having to worry about algebraic expressions or letters.

Much of what you learn when you are balancing equations, you will need to draw on when you are doing algebra and solving equations.

How to balance a mathematical statement

Step 1) Find the value of the side of the equation without any missing numbers.

Step 2) Make sure the value on the other side of the equation is equal to this value.

Examples

Example 1) 7 x ___ = 20 + 8

Step 1) Work out the value on the right hand side: 20 + 8 = 28

Step 2) The value on the left hand side must equal this number: 7 x 4 = 28 so the missing value must be 4.

Answer: the missing value is 4.

Example 2) 5 x 7 = 50 - ___

Step 1) Work out the value on the left hand side: 5 x 7 = 35

Step 2) The value on the right hand side must equal this number: 50 - 15 = 35 so the missing value must be 15.

Answer: the missing value is 15.

Balancing Math Equations Worksheets 3rd Grade

The first worksheet is the most basic, with only a single value on the right hand side.

The 2nd worksheet involves addition and subtraction only.

The 3rd and 4th worksheets are more challenging and include multiplication and larger numbers.

Balancing Math Equations Worksheets 4th Grade

These worksheets get progressively trickier: the first sheet involves +, - and x only.

The second sheet includes division, and the 3rd sheet involves harder values.

The 4th sheet involves balancing fraction expressions.

Balancing Math Equations Worksheets 5th Grade

All the worksheets in the 5th grade section involve balancing decimal equations.

The 1st sheet only involves addition and subtraction.

The 2nd sheet involves multiplication as well as addition and subtraction.

The 3rd sheet involves using all 4 operations.

Inequalities, Multiples and Factors

If you are looking for some more pre-algebra worksheets based around inequalities, multiples or factors, then take a look at this page.

The questions on this page are aimed at a 4th grade level.

Using Parentheses and Exponents

The sheets on this webpage will help you master the use of parentheses (brackets) and exponentes (powers).

The questions are aimed at a 5th grade level.

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