Solving Equations

Front

What is an equation?

Back

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

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 an equation?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value in an equation.

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 does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions if there are countless values for the variable that satisfy the equation, often occurring when both sides of the equation are identical.

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 distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

What is the solution to the equation 3x + 15 = 3(x + 5)?

Back

Infinitely Many Solutions.

Front

What is the solution to the equation -11 + 3(b + 5) = 7?

Back

1.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

5.