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

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 does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions when any value for the variable satisfies the equation, often resulting from equivalent expressions.

Front

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

Back

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

Front

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

Back

x = 1

Front

What is the solution to the equation -4x + 1 = 21?

Back

x = -5

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 3c + 5 = 23?

Back

c = 6

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 satisfy the equation, often resulting in a contradiction.

Front

Solve the equation: 3x + 15 = 3(x + 5)

Back

Infinitely Many Solutions