Multi-Step with Special Solutions

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What does it mean when an equation has no solution?

Back

It means that there is no value for the variable that will satisfy the equation, often resulting in a contradiction.

Front

What is an infinite solution in the context of equations?

Back

It means that there are countless values for the variable that satisfy the equation, typically when both sides of the equation are equivalent.

Front

How do you distribute in an equation?

Back

To distribute means to multiply a term outside the parentheses by each term inside the parentheses.

Front

What is the first step in solving the equation 5 - 2(x - 7) = x + 1 + 3x?

Back

The first step is to distribute -2 to (x - 7).

Front

Solve the equation: 3(x - 1) = 2x + 9

Back

x = 12.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the purpose of isolating the variable in an equation?

Back

To find the value of the variable that makes the equation true.

Front

What is the solution to the equation 2x + 3 = 3x + 1?

Back

x = 2.

Front

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

Back

To verify that the solution satisfies the original equation and is correct.