Equation and Inequalities Word Problems

Front

What is an equation?

Back

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

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

How do you solve a one-step equation?

Back

To solve a one-step equation, isolate the variable by performing the inverse operation on both sides of the equation.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate an equation so that the variable is on one side and all other terms are on the other side.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario, requiring translation into an equation or inequality.

Front

How do you translate a word problem into an equation?

Back

Identify the key information and relationships in the problem, then express them using variables and mathematical operations.

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

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

Back

'Per hour' indicates a rate of charge or payment for each hour of work or service provided.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, as opposed to a variable which can take on different values.