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

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 no solution?

Back

An equation has no solution when there are no values that can satisfy the equation, often resulting in a contradiction.

Front

What is the identity property in equations?

Back

The identity property states that if an equation simplifies to a true statement (like 0=0), it has infinitely many solutions.

Front

How do you combine like terms in an equation?

Back

Combine like terms by adding or subtracting coefficients of the same variable.

Front

What is the first step in solving the equation f - 4 = 6f + 26?

Back

The first step is to move all terms involving f to one side and constant terms to the other side.

Front

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

Back

x = -6

Front

What is the solution to the equation n + 2 = n + 4?

Back

No solution.

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 (2x - 3) / 4 = 9?

Back

x = 19.5