Solving equations

Front

What is the definition of infinite solutions in an equation?

Back

Infinite solutions mean that no matter what constant is substituted in for the variable, the equation is ALWAYS true.

Front

What is the definition of no solution in an equation?

Back

No solution means that no matter what constant is substituted in for the variable, the equation will NEVER be true.

Front

What is the definition of one solution in an equation?

Back

One solution means that only this ONE solution will make the equation true.

Front

What happens when you multiply or divide two negative numbers?

Back

The result will be positive.

Front

How do you solve the equation 9 + 3x = 10?

Back

The solution is x = 1/3.

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

What does it mean if two equations are equivalent?

Back

Two equations are equivalent if they have the same solution set.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that it satisfies the original equation.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac.

Front

What is the difference between a linear equation and a quadratic equation?

Back

A linear equation has a degree of 1, while a quadratic equation has a degree of 2.