Multi-Step Equations with Variables on Both Sides

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

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, requiring manipulation to isolate the variable.

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to a and -5.

Front

How do you combine like terms in an equation?

Back

By adding or subtracting coefficients of the same variable.

Front

What is the solution to the equation 4(-8x + 5) = -32x - 26?

Back

No solution.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that will satisfy the equation.

Front

What is the solution to the equation 4 - 5p = 5(6 + p) + 3p?

Back

p = -2.

Front

What is the purpose of distributing in an equation?

Back

To eliminate parentheses by multiplying the term outside the parentheses by each term inside.

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 solution to the equation f - 4 = 6f + 26?

Back

f = -6.