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.

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 it mean to write an equation from a word problem?

Back

Writing an equation from a word problem involves translating the words into mathematical symbols and expressions that represent the situation described.

Front

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

Back

In this equation, 'x' represents the number of hours worked by Scott on cars.

Front

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

Back

To check your solution, substitute the value of the variable back into the original equation and verify if both sides are equal.

Front

What is the first step to solve the equation 0.50x + 20 = 35?

Back

The first step is to subtract 20 from both sides of the equation.

Front

What does the term 'constant' refer to in an equation?

Back

A constant is a fixed value that does not change, such as the number 20 in the equation 0.50x + 20 = 35.

Front

How can you represent a situation where a total is made up of a fixed cost and a variable cost?

Back

You can represent this situation with an equation like y = mx + b, where y is the total cost, m is the variable cost per unit, x is the number of units, and b is the fixed cost.

Front

What is the solution to the equation x/2 + 16 = 36?

Back

The solution is x = 40.

Front

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

Back

In this equation, 'x' represents the number of students in each bus.