Flashcard # 1: Solving linear equations and inequalities in one variable

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 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 an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What is a variable in mathematics?

Back

A variable is a letter or symbol that represents an unknown value in an equation or expression.

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 solution to the equation 4(2x - 3) = 6x + 2?

Back

x = 7

Front

What is the solution to the inequality 6x - 7 > 2x + 17?

Back

x > 6

Front

What are the steps to solve a linear equation?

Back

1. Simplify both sides of the equation. 2. Use inverse operations to isolate the variable. 3. Solve for the variable.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.