Word Problems and Equations

Front

What is a word problem?

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 to solve it.

Front

What is an equation?

Back

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

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate an equation so that the variable is on one side of the equation by itself.

Front

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

Back

Add 6 to both sides and then divide both sides by 5.

Front

What is the first step in solving the equation 2x + 1 = 6?

Back

Subtract 1 from both sides.

Front

How do you write an equation from a word problem?

Back

Identify the unknown, assign a variable, and translate the problem's conditions into a mathematical equation.

Front

What does 'solving for x' mean?

Back

It means finding the value of the variable x that makes the equation true.

Front

What is the solution to the equation -x/2 + 4 = 12?

Back

x = -16.

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 the equation for the problem: 4 students rode in cars and the rest filled nine buses with 472 students total?

Back

4 + 9x = 472.