Two-Step Equation Word Problems

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.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What does the variable represent in a word problem?

Back

The variable represents an unknown quantity that we are trying to find.

Front

How do you translate a word problem into an equation?

Back

Identify the quantities involved, determine the relationships between them, and express these relationships using mathematical symbols.

Front

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

Back

The first step is to eliminate any constant added or subtracted from the variable.

Front

If an equation is 11x + 6 = 39, what is the first step to solve for x?

Back

Subtract 6 from both sides to get 11x = 33.

Front

What is the solution to the equation 7x + 35 = 63?

Back

First, subtract 35 from both sides to get 7x = 28, then divide by 7 to find x = 4.

Front

How do you check if your solution to a two-step equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What does it mean if a word problem involves consecutive integers?

Back

Consecutive integers are numbers that follow each other in order, such as n, n+1, and n+2.

Front

How can you represent the sum of three consecutive integers algebraically?

Back

You can represent it as n + (n + 1) + (n + 2).