Multi-Step Equations with Rational Numbers

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

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to combine like terms and perform operations to reduce it to its simplest form.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you solve the equation 20 = (x - 8)/-5?

Back

Multiply both sides by -5 to get -100 = x - 8, then add 8 to both sides to find x = -92.

Front

What is the first step in solving the equation -4(1 + 3x) + 18 = 86?

Back

Distribute -4 to both terms inside the parentheses: -4 - 12x + 18 = 86.

Front

How do you check your solution for an equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation -1/5 = -2(-x - 4/5)?

Back

The solution is x = 9/10.

Front

What does it mean to have a negative coefficient in front of a variable?

Back

A negative coefficient indicates that the variable's value will decrease when multiplied by that coefficient.