Multi-step Equation Review

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 distribute in an expression?

Back

To distribute means to multiply a term outside the parentheses by each term inside the parentheses. For example, in -3(-6x - 7), you would multiply -3 by -6x and -3 by -7.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in 7v + 2 + 12 + 2v, you combine 7v and 2v to get 9v.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in 5x, 5 is the coefficient.

Front

How do you simplify the expression 6x - 15?

Back

To simplify 6x - 15, you can factor it as 3(2x - 5), which shows the expression in a different form.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

What is the first step in solving a multi-step equation?

Back

The first step is often to simplify both sides of the equation by combining like terms and distributing any factors.

Front

How do you find the value of a variable in an equation?

Back

To find the value of a variable, isolate the variable on one side of the equation using inverse operations.

Front

What is the importance of the order of operations in solving equations?

Back

The order of operations (PEMDAS/BODMAS) is crucial because it dictates the sequence in which operations should be performed to ensure accurate results.

Front

What is the result of simplifying the expression 8 + 5x - y?

Back

The expression is already simplified, but the coefficient of x is 5.