EQUATIONS WITH VARIABLES ON BOTH SIDES

Front

What is an equation with variables on both sides?

Back

An equation that has variables (letters) on both sides of the equal sign, requiring manipulation to isolate the variable.

Front

What is the first step to solve the equation 4(x - 2) = -3 + 5x?

Back

Distribute 4 to both x and -2.

Front

What does it mean to collect like terms in an equation?

Back

Combining terms that have the same variable and exponent to simplify the equation.

Front

What is the solution to the equation 8x - 8 = -4x + 16?

Back

2

Front

What is the next step after distributing in the equation -3(x - 2) = -8 + 9b?

Back

Combine like terms and isolate the variable.

Front

What is the final answer to the equation 10 + 2n = 8n - 2n + 10?

Back

0

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to get the variable alone on one side of the equation.

Front

What is the purpose of balancing an equation?

Back

To maintain equality by performing the same operation on both sides of the equation.

Front

What does it mean to distribute in an equation?

Back

To multiply a term outside the parentheses by each term inside the parentheses.

Front

What is the first step to solve the equation 14x + 8 = -3 - 7x?

Back

Collect the variables (letters) on the left side.