Two Step Equation Word Problems 10

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 addition or subtraction followed by multiplication or division.

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, eliminate any addition or subtraction, then eliminate multiplication or division.

Front

What is the first step to solve the equation: 2x + 3 = 11?

Back

The first step is to subtract 3 from both sides of the equation to isolate the term with the variable: 2x = 8.

Front

What is the second step to solve the equation: 2x = 8?

Back

The second step is to divide both sides by 2 to solve for x: x = 4.

Front

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

Back

Identify the unknown variable, translate the words into mathematical expressions, and set up an equation based on the relationships described in the problem.

Front

In the taxi problem, what is the total cost equation?

Back

Total cost = Initial fee + (Cost per mile * Number of miles). In this case: 44.65 = 10 + 1.65m.

Front

How do you find the number of miles traveled in the taxi problem?

Back

Subtract the initial fee from the total cost, then divide by the cost per mile: (44.65 - 10) / 1.65 = 21 miles.

Front

What is the equation for Darcy's text message problem?

Back

Total bill = Monthly fee + (Cost per text * Number of texts). In this case: 65.25 = 30 + 0.15t.

Front

How do you solve for the number of texts sent by Darcy?

Back

Subtract the monthly fee from the total bill, then divide by the cost per text: (65.25 - 30) / 0.15 = 235 texts.

Front

What is the equation for the amusement park problem?

Back

Total cost = (Cost per person * Number of people) - Coupon. In this case: 225 = 35p - 20.