2.4 Solve Equations with Variables on both sides

Front

What is the first step to solve the equation 9 + 2a = -3 - 4a?

Back

Combine like terms by adding 4a to both sides: 9 + 6a = -3.

Front

How do you isolate the variable 'a' in the equation 2a + 4 = 7 + a?

Back

Subtract 'a' from both sides: 2a - a + 4 = 7.

Front

What does it mean to check if a number is a solution to an equation?

Back

Substitute the number into the equation and see if both sides are equal.

Front

What is the solution to the equation 6a + 3 - 4a = 9?

Back

Combine like terms: 2a + 3 = 9, then isolate 'a' to find a = 3.

Front

What is the process to solve the equation 2 + 14a = -8 + 9a?

Back

Subtract 9a from both sides: 14a - 9a = -8 - 2.

Front

What is a variable in an equation?

Back

A symbol (like 'a' or 'x') that represents an unknown value.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the variable appears on both the left and right sides of the equation.

Front

How do you combine like terms in an equation?

Back

Add or subtract coefficients of the same variable.

Front

What is the solution to the equation 3x + 8 - x = 5x - 4?

Back

Combine like terms to find that x = 6 is not a solution when checked.

Front

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

Back

To ensure that the solution satisfies the original equation.