Solving equations

Front

What is the first step to solve the equation (2x - 3) / 4 = 9?

Back

Multiply both sides by 4 to eliminate the fraction.

Front

How do you isolate the variable in the equation -6x = 18?

Back

Divide both sides by -6.

Front

What is the distributive property in the context of the equation -11 + 3(b + 5) = 7?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to expand the equation.

Front

What is the combined like terms in the equation 2x - 3 + 4x = 27?

Back

Combine 2x and 4x to get 6x.

Front

How do you solve for x in the equation 12x = 144?

Back

Divide both sides by 12.

Front

What does it mean to 'isolate the variable' in an equation?

Back

To isolate the variable means to get the variable alone on one side of the equation.

Front

What is the solution to the equation 2x - 3 = 27?

Back

x = 15.

Front

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

Back

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

Front

What is the process of solving a linear equation?

Back

The process involves simplifying the equation, isolating the variable, and solving for its value.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form ax + b = c.