Multi-Step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you set up an equation to compare costs of two items?

Back

To set up an equation to compare costs, identify the fixed costs and variable costs for each item, then create an equation where both sides represent the total cost.

Front

What is the first step in solving a multi-step equation?

Back

The first step is to simplify both sides of the equation if possible, by combining like terms and eliminating parentheses.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve an inequality?

Back

Solving an inequality means finding the range of values that satisfy the inequality, often resulting in a solution set rather than a single value.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

Front

How do you check your solution to a multi-step equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than, less than, or not equal to another.

Front

How do you solve for a variable in a word problem?

Back

Identify the quantities involved, define variables for unknowns, set up an equation based on the relationships described, and solve for the variable.