Multi-Step Equation Word Problems

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What is the first step in solving a multi-step equation?

Back

The first step is often to simplify both sides of the equation by combining like terms and using the distributive property if necessary.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you set up an equation from a word problem?

Back

Identify the unknowns, assign variables, and translate the words into mathematical expressions and equations.

Front

What is the equation for the total cost of renting a car?

Back

Total Cost = One-time fee + (Cost per mile × Number of miles driven).

Front

If a man jumps down 40 feet from a height of 250 feet, how do you find the remaining height?

Back

Remaining height = Initial height - Jump height.

Front

How do you calculate the time taken to descend at a constant rate?

Back

Time = Distance / Rate.

Front

What is the formula to find the cost of each item when given total cost and quantity?

Back

Cost per item = Total cost / Number of items.