Solving Linear Equations and Inequalities

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form Ax + B = C, where A, B, and C are constants.

Front

What is the solution to a linear equation?

Back

The solution to a linear equation is the value of the variable that makes the equation true.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate an equation so that the variable is on one side of the equation and all other terms are on the other side.

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.

Front

How do you solve an inequality?

Back

To solve an inequality, perform the same operations on both sides as you would with an equation, but remember to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What does it mean to check your solution?

Back

Checking your solution means substituting the solution back into the original equation or inequality to verify that it holds true.

Front

What is the first step in solving the equation 2x + 4 = 12?

Back

The first step is to subtract 4 from both sides of the equation.

Front

What is the solution to the inequality -2(x + 2) < 14?

Back

The solution is x > -9.

Front

How do you solve for A in the equation A - B = C?

Back

To solve for A, add B to both sides: A = C + B.