Solving Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does 'combining like terms' mean?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable on one side of the equation and the constants on the other side.

Front

What is the first step in solving the equation -12t + 10 + 32 = 78?

Back

The first step is to combine like terms: -12t + 42 = 78.

Front

What is the solution to the equation 1/2b + 8 - 10 = 6?

Back

The solution is b = 16.

Front

How do you solve for n in the equation -12 = 10n - 40n + 3?

Back

Combine like terms to get -12 = -30n + 3, then isolate n to find n = 1/2 or 0.5.

Front

What is the solution to the equation 4x + 14 + 4x = 38?

Back

The solution is x = 3.

Front

How do you solve the equation 17n - 23n + 11.5n = 44?

Back

Combine like terms to get 5.5n = 44, then divide by 5.5 to find n = 8.

Front

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

Back

The equal sign indicates that the values on both sides of the equation are the same.

Front

What does it mean to 'subtract the constant' in an equation?

Back

Subtracting the constant means to remove the number that is not attached to a variable from one side of the equation.