Solving equations with variables on both sides

Front

What is the first step in solving an equation with variables on both sides?

Back

The first step is to isolate the variable terms on one side of the equation by adding or subtracting terms from both sides.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting coefficients of the same variable.

Front

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

Back

Isolating the variable means to manipulate the equation so that the variable is alone on one side of the equation.

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

x = -3.

Front

How do you check if your solution to an equation is correct?

Back

You substitute the solution back into the original equation to see if both sides are equal.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Solve the equation: 2(4x - 3) - 8 = 4 + 2x. What is x?

Back

x = 3.

Front

What is the value of x in the equation 2x + 3 = 7?

Back

x = 2.

Front

What is the significance of having variables on both sides of an equation?

Back

It indicates that the equation may have one solution, no solution, or infinitely many solutions depending on how the variables relate.

Front

What does it mean if an equation simplifies to a statement like 0 = 0?

Back

It means that the equation has infinitely many solutions.