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 story, requiring the reader to extract relevant information and formulate an equation to solve it.

Front

How do you write an equation from a word problem?

Back

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

Front

What does 'x' typically represent in algebraic equations?

Back

In algebraic equations, 'x' usually represents an unknown value that we are trying to solve for.

Front

What is the first step in solving a word problem?

Back

The first step is to read the problem carefully and identify what is being asked.

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 is the equation for Aliyah's pencil problem?

Back

10 + 7x = 24.

Front

What does the equation 7x + 35 = 63 represent?

Back

It represents the total cost of Kylie's car bill, where 'x' is the number of hours worked on the car.

Front

How do you determine the total cost in a word problem?

Back

Add fixed costs to variable costs multiplied by the number of items or hours.

Front

What is the equation for Penelope's carnival spending?

Back

0.50x + 20 = 35.

Front

How do you find the value of 'x' in the equation 0.50x + 20 = 35?

Back

Subtract 20 from both sides to get 0.50x = 15, then divide both sides by 0.50 to find x.