Modeling Expressions and Equations

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 does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

Front

What is the purpose of modeling expressions and equations?

Back

Modeling expressions and equations helps to represent real-world situations mathematically, allowing for analysis and problem-solving.

Front

What is the equation for the model: 7 = x + 3?

Back

x = 7 - 3, which simplifies to x = 4.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation x + 6 = 13?

Back

x = 13 - 6, which simplifies to x = 7.

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set, meaning they represent the same relationship.

Front

What is the first step in solving the equation x - 6 = 13?

Back

Add 6 to both sides of the equation to isolate x.

Front

What is the equation represented by the model: 3B + 1 = 6?

Back

To solve for B, subtract 1 from both sides: 3B = 5, then divide by 3: B = 5/3.