Two-Step Equations & Inequalities Word Problems Flashcard

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable. For example, in the equation 2x + 3 = 11, you would first subtract 3 and then divide by 2 to find x.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation. For example, in the equation x + 5 = 12, you would subtract 5 from both sides to get x = 7.

Front

What does it mean to solve an inequality?

Back

Solving an inequality means finding the range of values that make the inequality true. For example, in the inequality x + 3 > 5, you would subtract 3 from both sides to find x > 2.

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 represent a word problem as an equation?

Back

To represent a word problem as an equation, identify the variables, constants, and relationships described in the problem, then translate them into mathematical expressions.

Front

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

Back

The first step in solving a two-step equation is to eliminate the constant term from one side of the equation using inverse operations.

Front

How can you check your solution to an equation?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is a variable in mathematics?

Back

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

Front

What does it mean to give a quantity equally among friends?

Back

To give a quantity equally among friends means to divide the total amount by the number of friends, ensuring each friend receives the same amount.

Front

How do you set up an equation for a total cost problem?

Back

To set up an equation for a total cost problem, identify the fixed costs and variable costs, then combine them to equal the total amount spent.