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 like addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the first step in solving the equation 5x - 4 + 2x = 3?

Back

Combine like terms: 5x + 2x = 7x, so the equation becomes 7x - 4 = 3.

Front

What is the solution to the equation 3w = 30?

Back

Divide both sides by 3: w = 30 / 3 = 10.

Front

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

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What does it mean to 'combine like terms'?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the solution to the equation 10(h + 1) - 4 = 76?

Back

First, add 4 to both sides: 10(h + 1) = 80. Then divide by 10: h + 1 = 8, so h = 7.

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 is the solution to the equation 2x - 3 + 4x = 27?

Back

Combine like terms: 6x - 3 = 27. Then add 3 to both sides: 6x = 30, so x = 5.

Front

What is an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation, such as addition and subtraction or multiplication and division.