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 define a variable in a word problem?

Back

A variable is a symbol (often a letter) that represents an unknown value in a mathematical expression or equation.

Front

What does the equation y = 15x + 40 represent in a word problem?

Back

It represents a situation where y is the total cost, x is the number of hours worked, $15 is the hourly rate, and $40 is a fixed service fee.

Front

In the equation 12x + 14 = 50, what does x represent?

Back

x represents the number of CDs Casey can buy after spending $14 on a DVD.

Front

What is the first step to solve the equation 50 + 20m = 290?

Back

Subtract 50 from both sides to isolate the term with the variable.

Front

How do you write an equation from a word problem?

Back

Identify the quantities involved, define variables, and translate the relationships into a mathematical equation.

Front

What does the term 'service fee' mean in a word problem?

Back

A service fee is a fixed charge for a service provided, regardless of the amount of service used.

Front

What is the importance of defining variables in word problems?

Back

Defining variables helps clarify what each symbol represents, making it easier to set up and solve equations.

Front

How can 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 the equation x/2 + 16 = 36 represent?

Back

It represents a situation where Jill sold half of her comic books and then received 16 more, resulting in a total of 36.