Word Problems - Algebra Equations

Front

What is a word problem in algebra?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario, requiring the formulation of an equation to find a solution.

Front

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

Back

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

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to find the value of that variable that makes the equation true.

Front

What is the first step in solving the equation 5b - 6 = 24?

Back

Add 6 to both sides of the equation.

Front

If a bike rental shop charges a flat fee plus an hourly rate, how do you express the total cost?

Back

Total Cost = Flat Fee + (Hourly Rate × Number of Hours).

Front

In the equation f + 8 = 14, what does 'f' represent?

Back

'f' represents the number of feet the tree grew.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 5b - 6 = 24?

Back

b = 6.

Front

How do you determine the number of hours Sally rented the bike if she paid $66?

Back

Set up the equation: 12 + 6h = 66, then solve for h.

Front

What is the total cost of a taxi ride if the base fare is $3 and the distance is 18 miles?

Back

Total Cost = 3 + (1.50 × 18) = $30.