Two-Step Equations 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. For example, in the equation 2x + 3 = 7, you would first subtract 3 from both sides and then divide by 2.

Front

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

Back

To isolate a variable in a two-step equation, perform the inverse operations in reverse order. First, eliminate the constant term by adding or subtracting, then eliminate the coefficient by multiplying or dividing.

Front

What is the first step in solving the equation 5b - 6 = 24?

Back

The first step is to add 6 to both sides of the equation, resulting in 5b = 30.

Front

What does the equation 6x + 7 = 331 represent in a word problem?

Back

This equation represents a scenario where 6 buses (each with x students) and 7 students in cars total 331 students.

Front

How do you check the solution of a two-step equation?

Back

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

Front

What is the solution to the equation 10m + 35 = 115?

Back

To solve for m, subtract 35 from both sides to get 10m = 80, then divide by 10 to find m = 8.

Front

What is the meaning of the term 'coefficient' in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression, such as the 5 in 5b.

Front

What is the purpose of writing an equation from a word problem?

Back

Writing an equation from a word problem helps to translate the situation into a mathematical form that can be solved.

Front

How do you represent a situation where a printer prints pages over time?

Back

You can represent this situation with an equation like 10m + 35 = total pages, where m is the number of minutes.

Front

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

Back

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