Word Problems Variables on both sides

Front

What is a variable in a mathematical equation?

Back

A symbol used to represent an unknown value in an equation.

Front

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

Back

Identify the variables, translate the words into mathematical expressions, and set them equal to each other.

Front

What does it mean to solve for a variable?

Back

To find the value of the variable that makes the equation true.

Front

In the equation 40x + 100 = 42x, what do the terms represent?

Back

40x represents the distance you bike, and 42x represents the distance Tom bikes.

Front

How do you isolate a variable in an equation?

Back

Use inverse operations to get the variable on one side of the equation.

Front

What is the first step in solving the equation 40x + 100 = 42x?

Back

Subtract 40x from both sides to simplify the equation.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

How can 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 does it mean for two quantities to be equal in a word problem?

Back

It means that the values of the two quantities are the same at a certain point.

Front

In the job salary problem, how do you express the salaries mathematically?

Back

Job A: 36000 + 1500x; Job B: 29000 + 2500x.