Variables on Both Sides - Word Problems

Front

What is a variable in an equation?

Back

A symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What does it mean to solve an equation with variables on both sides?

Back

It means to find the value of the variable that makes both sides of the equation equal.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 10x + 9 = 4x - 9?

Back

Subtract 4x from both sides to begin isolating the variable.

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

x = -3.

Front

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

Back

Identify the quantities involved and determine the relationship (greater than, less than) based on the problem's context.

Front

What inequality represents the cost of buying skis being less than renting skis?

Back

125 + 5x < 35x.

Front

What is the purpose of using equations in word problems?

Back

To translate real-world situations into mathematical expressions that can be solved.

Front

How can you express the cost of shirts bought in a word problem?

Back

By using an equation that relates the total cost to the number of shirts and their price.

Front

What equation can be used to find the cost of each shirt if Rhonda bought five shirts and had $10 left?

Back

10 + 5x = 24 + 3x.