Two-Step Equation 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 problem into a mathematical equation and then solving for the unknown variable.

Front

What is the first step in solving the equation 2x + 5 = 15?

Back

Subtract 5 from both sides to isolate the term with the variable.

Front

If Terry's total bill was $375 and he was charged $150 for parts, how do you find the cost of labor?

Back

Subtract the cost of parts from the total bill: $375 - $150 = $225.

Front

What equation represents the cost of entering a carnival and buying tickets?

Back

The equation is 0.50x + 20 = 35, where x is the number of tickets.

Front

How do you represent three consecutive integers in an equation?

Back

Let the first integer be n, then the integers can be represented as n, n+1, and n+2.

Front

What is the solution to the equation 0.50x + 20 = 35?

Back

First, subtract 20 from both sides: 0.50x = 15. Then, divide by 0.50: x = 30.

Front

What does 'consecutive integers' mean?

Back

Consecutive integers are integers that follow each other in order, such as 1, 2, 3 or 4, 5, 6.

Front

How do you set up an equation for a total cost problem?

Back

Identify fixed costs and variable costs, then combine them into an equation that equals the total amount spent.