Two Step Equations Review

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. It typically involves isolating the variable on one side of the equation.

Front

How do you translate a word problem into an equation?

Back

To translate a word problem into an equation, identify the quantities involved, determine the relationships between them, and express these relationships using mathematical symbols.

Front

What does 'four less than six times a number' mean in equation form?

Back

It means 6x - 4, where x is the number.

Front

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

Back

To isolate a variable, perform the inverse operations in the reverse order: first eliminate any constant added or subtracted, then divide or multiply to solve for the variable.

Front

What is the first step to solve the equation 7.25x + 6.75 = 93.75?

Back

The first step is to subtract 6.75 from both sides of the equation.

Front

What is the solution to the equation 6x - 4 = 14?

Back

To solve for x, add 4 to both sides to get 6x = 18, then divide by 6 to find x = 3.

Front

How do you set up an equation from a word problem involving cost and quantity?

Back

Identify the cost per item, the fixed costs, and the total cost, then set up the equation as (cost per item * quantity) + fixed costs = total cost.

Front

What does 'seven more than three times a number' translate to in algebraic terms?

Back

It translates to 3x + 7, where x is the number.

Front

What is the importance of understanding the context of a word problem?

Back

Understanding the context helps in identifying the relevant quantities and relationships, which is crucial for setting up the correct equation.

Front

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

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.