Solving Equations

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

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 to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

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

Back

The first step is to subtract 4 from both sides of the equation.

Front

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

Back

The solution is x = 3.

Front

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

Back

Checking your solution ensures that the value satisfies the original equation.

Front

What is the process of solving for b in the equation 5b - 6 = 9?

Back

Add 6 to both sides to get 5b = 15, then divide both sides by 5 to find b = 3.

Front

What is the value of x in the equation 3x - 9 = 0?

Back

The value of x is 3.

Front

How do you solve the equation 4a + 3 = 15 for a?

Back

Subtract 3 from both sides to get 4a = 12, then divide both sides by 4 to find a = 3.

Front

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

Back

The equal sign indicates that the expressions on both sides have the same value.