Two Step Equations Worksheet PDF

One and Two Step Equations Worksheet

In this article, we are going to share PDF related to two step equations worksheet. These PDF worksheets are very useful for 6th, 7th and 8th Grade Students. If you want to enhance your skills in algebraic two step equations then you must practice these fractions, whole and decimal numbers-based equations.

An algebraic two-step equation is a mathematics question that needs two steps to solve it. We have to solve these types of equations to find the value of an unknown variable. Now let’s understand it by a simple example.

Solving two step equations worksheet by different operations?

Generally, in two-step equations we have to first to isolate the variable after that we can find its value. So, in this article, we will explain four different operations to isolate the variable.

1. Solving two step equations by Rearranging LHS and RHS

Operation 1. We can solve simple two step equations by rearranging the left-hand side (LHS) and right-hand side (RHS) of the equation. Keep all the variable on one side and keep all the constant values on other side. If LHS have variable, then RHS should have all the constant values. If RHS have variable, then LHS should have all the constant values.

Solving two step equations worksheet PDF Example by using operation 1 : 5a – 5 = 10 (two step equation with whole number or integer), where “a” is a variable.

Let’s solve 5a – 5 = 10, In this equation our aim is to find the value of variable “a”.

First, we have to rearrange the equation to have all the constant values on one side.

5a = 10+5 => 5a = 15. Now, the equation becomes 5a = 15, where the constant value is on the right-hand side.

a = 15/5 = 3.

Therefore, the solution to the equation 5a – 5 = 10 is a =3.

2. Solving two step equations worksheet using Inverse Operations

Operation 2. Use Inverse Operations – In the given equation, if you need to remove addition then you have to perform subtraction. if it’s subtraction then perform addition to fix it.

Example: Solve this “6p – 6 = 18” two step equation using inverse operation?

Operation 1. First, we have to rearrange the give equation. All variables should be on one side of the equation and all constant terms should be on another side of the equation.

6p = 18 + 6 = 24 => 6p = 24.

Operation 2. 6p – 6 = 18, Here we have to isolate the term with the variable “p”.

In our question, we have to remove. “-6” It means that we need to remove subtraction so we would perform addition to solve this problem. So, we will add “6” on both side of the equation.

6p – 6 + 6 = 18 + 6.

6p = 24.

Now we can see that variable “p” is multiplied by 6. It means that we have to divide whole equation by 6.

6p ÷ 6 = 24 ÷ 6.

p = 4.

3. Undo Multiplication or Division

Operation 3. Undo Multiplication or Division – This operation almost same as inverse operation. In the given equation, if you have to reverse multiplication or division in order to solve two-step equations then perform this operation. To fix multiplication, do the division. If you need to fix division then perform multiplication to undo it.

Example: 5x = 15

In above example, variable “x” is multiplied by 5. So, we have to undo multiplication by performing division.

Thats why both LHS and RHS sides should be divided by 5.

(5x)/5 = (15)/5 => x = 3.

Example: Y ÷ 7 = 2

In this example, variable “Y” is divided by 7. So, we have to perform multiplication operation to fix it. Multiply both sides by 7.

(Y ÷ 7) x 7 = (2) x 7 => Y = 14.

4. Solving two-step equations worksheet by other special operations

Operation 4. Multiplication or division performed on the variable term before the addition or subtraction. In this case, you’d first solve for the variable by reversing the operations in the reverse order of operations of BEDMAS/BODMAS rule (Brackets, Exponents, Division/Multiplication, Addition/Subtraction).

Example: 3a ÷ 5 + 8 = 11

In above example, you can see that division of performed on the variable “a” before the addition. If we have to solve this two-step equation, then we must solve it in reverse order of operations of BODMAS Rule.

3a ÷ 5 + 8 = 11 (In this equation, first we have to undo addition by subtracting 8 from both sides (RHS and LHS).

3a ÷ 5 + 8 – 8 = 11 – 8 => 3a ÷ 5 = 3.

Now in 3a ÷ 5 = 3 equation, we have to undo division, So multiply both LHS and RHS sides by 5.

(3a ÷ 5) x 5 = 3 x 5 => 3a = 15.

To remove 3 from LHS, we have to divide both sides by 3.

3a/3 = 15/5 => a = 5.

Therefore, the solution to the equation 3a ÷ 5 + 8 = 11 is a = 5.

Two Step Equations Worksheet Example

Example 1: Solve this two-step equation for the value of variable “x” 15x + 8 = 38.

15x + 8 = 38 (Here, first we have to undo addition. So, subtract by 8 both sides of the equation).

15x +8 – 8 = 38 – 8.

15x = 30 (Now variable “x” is multiplied by 15. To undo this, we have to divide whole equation by 15).

15 (x)/ 15 = 30 / 15.

x = 2.

Example 2: Solve for “y” (2/3) y + 4 = 10.

Download Two Step Equations Worksheets

We have provided some Two step equations worksheet PDF in below table. Please use them for educational purpose only. Avoid using these worksheets for commercial purposes via this website.

Conditions of Use – This worksheets PDF allowed for educational use only and should not be used for commercial purposes.
Two-Step Equations by Kuta Software – Infinite Algebra	Download
Whole Numbers Two-Step Equations By mathworksheets4kids.com	Download
Fractions Two-Step Equations By mathworksheets4kids.com	Download
Solving Two-Step Equations By worksheetworks.com	Download
Two Step Equations By dadsworksheets.com	Download

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