Writing Equations

Front

What is an equation?

Back

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

Front

Define a variable in the context of equations.

Back

A variable is 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?

Back

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

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one, and it can be written in the form ax + b = c.

Front

What is the purpose of using expressions in equations?

Back

Expressions represent quantities that can change, allowing us to model real-world situations mathematically.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the importance of the equal sign in an equation?

Back

The equal sign indicates that the two sides of the equation have the same value.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with specific numbers.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an expression or equation.

Front

What is a constant in the context of equations?

Back

A constant is a fixed value that does not change, represented by a number in an equation.