Solving Multi Step Equations

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

How do you isolate a variable in an equation?

Back

By performing inverse operations on both sides of the equation to get the variable alone on one side.

Front

What is the first step in solving the equation 10 = 4x - 2?

Back

Add 2 to both sides to eliminate the constant on the right side.

Front

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

Back

x = 3.

Front

What does it mean to solve for a variable?

Back

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

Front

What is a proportion?

Back

An equation that states that two ratios are equal.

Front

How do you solve the proportion 2/3 = q/6?

Back

Cross-multiply to find q, which results in q = 4.

Front

What is the solution to the equation 33 = 4a - 7?

Back

a = 10.

Front

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

Back

To verify that the solution satisfies the original equation.

Front

What is the solution to the equation 4x + 5 = 29?

Back

x = 6.