Solving Multi-step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

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

Back

An equation has infinitely many solutions when any value of the variable satisfies the equation, indicating that the two sides of the equation are equivalent for all values.

Front

What is the first step in solving the equation 4 - 6x - 2 = -2(3x - 1)?

Back

The first step is to simplify both sides of the equation by distributing and combining like terms.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 10 = 4x - 2?

Back

x = 3.

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 distributing in an equation?

Back

Distributing is used to eliminate parentheses by multiplying the term outside the parentheses by each term inside.

Front

What is the solution to the equation ½(2x + 6) = 3x + 13?

Back

x = -5.

Front

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

Back

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

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there is no value for the variable that can make the equation true.