# Substitution Worksheets with Answers

Math Worksheets / Algebra Worksheets / Substitution Worksheets with Answers

Our **substitution worksheets** were created to help students master this complicated area of math. We have resources available that cover substituting numbers into **formulae**, **magic squares**, **using negative numbers** and more. All of the worksheets we offer are presented clearly, making the topic of substitution easy to understand. There are many methods to approach substitution, and our worksheets will ensure your child or pupil is confident in them all. For informative worksheets suitable for all abilities there is no substitute for Cazoom Maths!

CCSS Grade | CCSS | Preview | Worksheets | Answers | ||
---|---|---|---|---|---|---|

Evaluating Expressions – (A) | ||||||

Evaluating Expressions – (B) | ||||||

Evaluating Expressions in Word Problems (A) – with clues | ||||||

Evaluating Expressions in Word Problems – (A) | ||||||

Substitution Magic Squares | ||||||

Evaluating Expressions with: Negative Values | ||||||

Evaluating Expressions – (C) | ||||||

Evaluating Formulas – (B) | ||||||

Direct Proportion! | ||||||

Inverse Proportion! |

# PRINTABLE SUBSTITUTION METHOD WORKSHEETS

Your child can walk away feeling confident about substitution after using our Cazoom Math worksheets.

Our substitution method worksheets support all levels of substitution from having structured worksheets to innovative activity worksheets. Your student will also have the freedom to use **answer keys** to check his or her work.

## HOW TO SOLVE A SYSTEM OF EQUATIONS?

If you ever wondered what is the best technique for solving systems of equations, then we need to explain to you the substitution method. The substitution method is used in topics such as linear equations, programming, nonlinear systems, and many more. The best part is that is very easy and fun, once you start solving equations using the substitution method!

## SUBSTITUTION METHOD – DEFINITION

If we need to explain it with a definition, the substitute method is a way of solving systems of equations by expressing them in equations with only one variable.

## THE IMPORTANCE OF LEARNING SUBSTITUTION

The substitution method is an important concept in **algebra **because it is one of the first opportunities for students to showcase their understanding of what variables are in **expressions and equations.**

Once students grasp this concept of the meaning of a **variable**, they will successfully substitute numbers for that variable and begin understanding the essence of Algebra. **Substitution method **can also be significant in the workplace in several careers, especially within the **sciences **and **computational careers**.

## SO HOW MANY STEPS DOES THE METHOD INVOLVE?

The substitution method includes three steps. The first thing you need to do is to **solve one equation of the variables**. Then you continue by a substitute this expression into the other equation and solve the other one. The third step is to resubstitute the value in the original equation and find the variable. It may sound complicated and hard when you read it, but you just need to practice and the results will be inevitable.

## SUBSTITUTION METHOD WORKSHEETS MAKE EXCELLENT REVISION ACTIVITIES

Substitution forms part of the **curriculum**, so if students master this method they will be more confident when approaching their **exams**.

Substitution method worksheets make excellent **revision materials**, as they contain engaging activities that will help students enjoy the topic. If a student enjoys completing substitution activities, they are likely to learn this important skill much faster, and when exam time rolls around, they won’t be worried because they have become substitution experts.

## USE OF SUBSTITUTION IN THE WORKPLACE AND REAL LIFE

Substitution is a useful technique to use whenever someone encounters an **algebraic equation**.

This might not even be in math: there are many applications of algebra in science, computing, and even healthcare, so all professionals working in these areas will have to be confident with substitution. If math students wish to follow any of these career paths, they will need to pass their exams and to do that they will need to know how to substitute into algebraic expressions.

The system of equations can be used in many situations in **real-life**. For example, you will be solving equations using the substitution method when trying to determine if you making more **profit **from one product than from another, by taking few variables into accounts, such as transport, salaries, benefits, operational costs, commissions, and others.

In almost any situation in life if there is an **unknown quantity** you can use the substitution method to figure it out. With this method, you can easily calculate income over time, rates, profit predictions, and many other things.

**Example** of solving linear equations using substitution method

y = 2x + 6

3x + y = 11

We start by substituting the y in the second equation.

3x + (2x + 6) = 11

5x + 6 = 11

5x = 5

X = 1

Now when we have the value of x we can substitute the value in the first equation and find out the value of y.

y = 2x + 6

y = 2 x 1 + 6

y = 8

The solution of the linear equation is (1,6)

Check out our substitution method worksheets and enjoy practicing solving systems of equations.