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, if you have 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 satisfy the inequality. For example, in the inequality x < 5, any number less than 5 is a solution.

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 by performing the inverse operation.

Front

How do you check your solution for an equation?

Back

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

Front

What does 'x ≤ 15' mean in a word problem?

Back

The expression 'x ≤ 15' means that the value of x can be 15 or any number less than 15.

Front

How can you set up an equation from a real-life scenario?

Back

Identify the total amount, costs, and any variables involved, then create an equation that represents the relationship between them.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change. For example, in the equation 2x + 3 = 11, the number 3 is a constant.