Single Variable Equations

Front

What is a single variable equation?

Back

A single variable equation is an equation that contains only one variable, which can be solved to find the value of that variable.

Front

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

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

Solve for y: 3y - 10 + 2y = 15. What is 3y?

Back

3y = 15.

Front

What is the first step in solving the equation 3y - 10 + 2y = 15?

Back

Combine like terms: 5y - 10 = 15.

Front

What is the solution to the equation 5y - 10 = 15?

Back

y = 5.

Front

What does 'combining like terms' mean?

Back

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

Front

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

Back

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

Front

What is the definition of a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an equation.

Front

What is the role of constants in single variable equations?

Back

Constants are fixed values that do not change and can affect the solution of the equation.

Front

How do you handle negative numbers when solving equations?

Back

When solving equations, apply the same arithmetic rules for negative numbers as you do for positive numbers.