Solving Multistep Equations

Front

What is a multistep equation?

Back

A multistep 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 both sides of the equation until the variable is alone on one side.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

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

Back

The first step is to simplify the left side by distributing the 10: 10h + 10 - 4 = 76.

Front

What is the solution to the equation 3x + 15 = 3(x + 5)?

Back

The solution is all real numbers, indicating that the equation is an identity.

Front

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

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.

Front

What is the purpose of using parentheses in equations?

Back

Parentheses indicate which operations should be performed first according to the order of operations.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that make the equation true, often resulting in a contradiction.

Front

What is the solution to the equation 21 = 3 + 4n + 5n?

Back

The solution is n = 2.

Front

How do you simplify the expression -5(6n - 5) - 8?

Back

You distribute -5 to get -30n + 25 - 8, which simplifies to -30n + 17.