Writing Two-Step Equations from 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 represent a word problem as an equation?

Back

Identify the quantities involved, assign variables, and translate the relationships into an equation.

Front

What does the variable represent in an equation?

Back

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

Front

In the equation 7x + 35 = 63, what does 'x' represent?

Back

'x' represents the number of hours Scott worked on cars.

Front

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

Back

First, perform the inverse operation of the constant term, then perform the inverse operation of the coefficient of the variable.

Front

What is the first step to solve the equation 2x + 6 = -72?

Back

Subtract 6 from both sides to isolate the term with the variable.

Front

What is the solution to the equation 11x + 6 = 39?

Back

x = 3, after isolating x by subtracting 6 and dividing by 11.

Front

How do you write an equation from a word problem involving a total cost?

Back

Identify the fixed cost and the variable cost per unit, then sum them to equal the total cost.

Front

What does 'one third of a number' mean in algebraic terms?

Back

'One third of a number' can be represented as (1/3)x, where x is the number.

Front

In the equation 6x + 7 = 331, what does '6x' represent?

Back

'6x' represents the total number of students in the buses, where 'x' is the number of students per bus.