Solving Equations Review

Front

What is the first step in solving the equation 3m - 4 - 5m = 10?

Back

Combine like terms to simplify the equation.

Front

How do you isolate the variable in the equation 5b - 6 = 24?

Back

Add 6 to both sides to move the constant term.

Front

What is the solution for x in the equation 4x + 5x = 27?

Back

x = 3, after combining like terms and dividing by 9.

Front

What does it mean to solve for a variable in an equation?

Back

It means to find the value of the variable that makes the equation true.

Front

What is the process to solve the equation -11 + 3(b + 5) = 7?

Back

Distribute 3, combine like terms, and isolate b.

Front

What is the importance of checking your solution after solving an equation?

Back

To ensure that the solution satisfies the original equation.

Front

What is the definition of a linear equation?

Back

An equation that can be written in the form ax + b = c, where a, b, and c are constants.

Front

How do you handle negative coefficients when solving equations?

Back

You can add or subtract to isolate the variable, just as with positive coefficients.

Front

What is the solution to the equation -8 + 5x - 2 = 20?

Back

x = 6, after combining like terms and isolating x.

Front

What is the significance of the equal sign in an equation?

Back

It indicates that the expressions on both sides have the same value.