Mod 3 Math Review Solving equations with one, many, no solution

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 solution in the context of equations?

Back

A solution is a value or set of values that satisfy the equation.

Front

What are the types of solutions an equation can have?

Back

An equation can have one solution, no solution, or infinitely many solutions.

Front

What does 'one solution' mean?

Back

One solution means there is exactly one value for the variable that satisfies the equation.

Front

What does 'no solution' mean?

Back

No solution means there is no value for the variable that can satisfy the equation.

Front

What does 'infinitely many solutions' mean?

Back

Infinitely many solutions mean there are countless values for the variable that satisfy the equation.

Front

Solve: 3x + 15 = 3(x - 5)

Back

No Solution

Front

Simplify and determine the solution type: 3x - 7 = 3(x - 3) + 2

Back

Infinite Solutions

Front

What is the solution to the equation: 3x + 6 = 3x + 6?

Back

Infinite Solutions