Multi-Step Equations Variables on Both Sides

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

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

Back

Having variables on both sides means that the variable appears in expressions on both sides of the equal sign, requiring manipulation to solve for the variable.

Front

What is the first step in solving the equation 5(3h - 9) - 12 = 12 - 7(h - 9)?

Back

The first step is to distribute the 5 and -7 to eliminate the parentheses.

Front

What is the solution to the equation 3(x + 1) - 5 = 5x - 2?

Back

x = 0.

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 purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What does the equation 8v - 4(v + 8) = 8 simplify to?

Back

The equation simplifies to v = 10.

Front

What is the solution to the equation 4(2a + 3) = -3(a - 1) + 31?

Back

a = 2.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance ensures that both sides of the equation remain equal when performing operations.