Algebra Word Problems

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that asserts the equality of two expressions, typically involving variables and constants.

Front

How do you represent a word problem as an equation?

Back

Identify the unknown, assign a variable, translate the words into mathematical operations, and set up the equation.

Front

What does 'per hour' mean in a word problem?

Back

'Per hour' indicates a rate, showing how much is earned or consumed for each hour of time.

Front

What is the first step in solving a word problem?

Back

Read the problem carefully to understand what is being asked and identify the relevant information.

Front

How do you isolate a variable in an equation?

Back

Use inverse operations to move all terms involving the variable to one side of the equation and constants to the other side.

Front

What does 'saves $40 per month' imply in an equation?

Back

It implies a linear relationship where the total savings can be expressed as an initial amount plus $40 multiplied by the number of months.

Front

What is the significance of the phrase 'three-fourths of the students'?

Back

It indicates a fraction of the total number of students, which can be represented as (3/4)x, where x is the total number of students.

Front

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

Back

Identify fixed costs and variable costs, then express the total cost as the sum of these costs.

Front

What does 'x + 32 = 67' represent in a word problem?

Back

It represents a situation where a person's age (x) plus 32 equals another person's age (67), allowing you to solve for x.

Front

What is the purpose of using variables in algebra?

Back

Variables are used to represent unknown values, allowing for the formulation and solving of equations.