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 the reverse order of how they are applied.

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.

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 a printer prints 10 pages per minute and has 35 pages already, how do you express the total pages printed?

Back

Total pages printed = 10 * minutes + 35.

Front

What equation represents Jim's gym membership situation?

Back

50 + 20m = 290, where m is the number of months.

Front

How do you find the total cost of services when given a rate and a total amount?

Back

Set up an equation that includes the fixed cost and the variable cost multiplied by the rate.

Front

What is the solution to the equation 50 + 20m = 290?

Back

m = 12, meaning Jim paid for 12 months.

Front

How do you represent 'two times a number plus five equals 15' in equation form?

Back

2x + 5 = 15.

Front

What is the first step to solve the equation 2x + 5 = 15?

Back

Subtract 5 from both sides to get 2x = 10.