Solving Linear Equations and Inequalities

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. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

What is the solution of the equation 10 - 3x = 2x - 5?

Back

One Solution; x = 3.

Front

What is the solution of the equation 3x + 5 = 11?

Back

One Solution; x = 2.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that can satisfy the equation.

Front

What is the solution of the equation -4(x - 2) + 6 = -4x + 14?

Back

Infinite Solutions.

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 of the equation 2(x - 3) + 4 = 2x - 2?

Back

Infinitely Many Solutions.

Front

What is the solution of the equation 5x - 2 = 5x + 3?

Back

No Solution.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.