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 solve a word problem involving a two-step equation?

Back

It means translating the situation described in the problem into a mathematical equation and then solving for the unknown variable.

Front

In the equation 0.50x + 20 = 35, what does 'x' represent?

Back

In this equation, 'x' represents the number of ride tickets Penelope bought.

Front

What is the first step to solve the equation 4x + 7 = 23?

Back

The first step is to subtract 7 from both sides of the equation.

Front

If a taxi charges $3 plus $1.50 per mile, how would you express the total charge for 'm' miles?

Back

The total charge can be expressed as 1.50m + 3.

Front

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

Back

The solution is 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 is the meaning of the term 'variable' in algebra?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value.

Front

What does it mean to 'translate' a word problem into an equation?

Back

It means to convert the words and context of the problem into a mathematical expression or equation.