Substitution Introduction

Front

What is substitution in algebra?

Back

Substitution is a method used to solve systems of equations by replacing a variable with an expression derived from another equation.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with their corresponding numerical values.

Front

How do you substitute a variable in an equation?

Back

To substitute a variable, replace it with an equivalent expression or value from another equation.

Front

What is the first step in using the substitution method?

Back

Identify one equation and solve for one variable in terms of the other variable.

Front

If x = 3 and y = 4, what is the value of 2x + 3y?

Back

2(3) + 3(4) = 6 + 12 = 18.

Front

What is the purpose of using substitution in solving equations?

Back

The purpose is to simplify the system of equations to find the values of the variables.

Front

What does the equation y = 2x + 1 represent?

Back

It represents a linear relationship between x and y, where y increases by 2 for every increase of 1 in x.

Front

How can you check if your solution to a system of equations is correct?

Back

Substitute the values of the variables back into the original equations to see if they hold true.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What does it mean to solve a system of equations?

Back

To solve a system of equations means to find the values of the variables that satisfy all equations in the system.