Solving Multi-step equations.

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to isolate the variable and solve for its value.

Front

How do you combine like terms in an equation?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is the first step in solving the equation 10(h+1) - 4 = 76?

Back

The first step is to distribute the 10 to both terms inside the parentheses: 10h + 10 - 4 = 76.

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 opposite side.

Front

What is the solution to the equation 3(x-4) = -3?

Back

The solution is x = 3.

Front

How do you check if your solution to an equation is correct?

Back

To check if your solution is correct, substitute the value back into the original equation and verify if both sides are equal.

Front

What is the process for solving the equation 3y + 6 + 4y - 7 = -8?

Back

First, combine like terms to get 7y - 1 = -8, then add 1 to both sides to get 7y = -7, and finally divide by 7 to find y = -1.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

Front

How do you solve for a variable in an equation with parentheses?

Back

Use the distributive property to eliminate the parentheses, then combine like terms and isolate the variable.

Front

What is the solution to the equation -11 + 3(b + 5) = 7?

Back

The solution is b = 1.