Equations - Special Cases

Front

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

Back

It means that any value of the variable will satisfy the equation, resulting in the same true statement.

Front

Solve: 2y − 3 = 2y − 3

Back

infinitely many solutions

Front

What is a special case in equations?

Back

A special case occurs when the equation simplifies to a true statement for all values of the variable or a false statement for no values.

Front

Solve the following equation: 3x − x + 4 = 4(2x +1)

Back

x = 0

Front

What does it mean when an equation has no solution?

Back

It means that there is no value of the variable that can satisfy the equation.

Front

Solve: 3(3x − 6) = 18

Back

x = 4

Front

Solve: 3(x − 2) = 3x − 6

Back

infinitely many solutions

Front

Identify the number of solutions for: 4x + 5 = 2(2x + 3)

Back

no solution

Front

What is the first step in solving linear equations?

Back

Isolate the variable on one side of the equation.

Front

What is the distributive property?

Back

a(b + c) = ab + ac, used to simplify expressions.