Solving Equations

Front

What is an equation?

Back

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

Back

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

Front

What is the solution to the equation 2x + 4 + 5x = 13 + 4x?

Back

The solution is x = 3.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation.

Front

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

Back

The solution is x = 4.

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions if any value of the variable satisfies the equation.

Front

What is the solution to the equation -4(3x + 2) = 3(-4x + 5)?

Back

The equation has no solution.

Front

What is the solution to the equation 9y + 8 = 9y - 8?

Back

The equation has no solution.

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.