Solving Equations

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

What does it mean if an equation has 'No Solution'?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

How do you solve for a variable in a simple linear equation?

Back

You rearrange the equation to isolate the variable, typically by performing inverse operations.

Front

What is the solution to the equation 2y + 7 = 11?

Back

y = 2.

Front

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

Back

x = 3.

Front

How do you combine like terms in an equation?

Back

You add or subtract the coefficients of the same variable.

Front

What is the solution to the equation 2g - 3 + 4g = 27?

Back

g = 5.

Front

What is the solution to the equation x + 8 = -3?

Back

x = -11.

Front

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

Back

Checking ensures that the solution satisfies the original equation.

Front

What is the principle of inverse operations in solving equations?

Back

Inverse operations are used to undo operations applied to the variable, helping to isolate it.