Multi-step Equation Flashcard

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 the first step in solving the equation x/3 = 4?

Back

Multiply both sides of the equation by 3 to eliminate the fraction.

Front

What does it mean to have 'no solution' in an equation?

Back

'No solution' means that there is no value for the variable that can satisfy the equation.

Front

How do you solve the equation 10x + 9 = 4x - 9?

Back

First, combine like terms by subtracting 4x from both sides and then subtract 9 from both sides to isolate x.

Front

What is the solution to the equation 4p = 16?

Back

Divide both sides by 4 to find p = 4.

Front

How do you solve the equation x/4 - 3 = 9?

Back

Add 3 to both sides to get x/4 = 12, then multiply both sides by 4 to find x = 48.

Front

What is the distributive property in algebra?

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 apply the distributive property to the equation 4(-8x + 5)?

Back

Multiply 4 by each term inside the parentheses: 4 * -8x + 4 * 5 = -32x + 20.

Front

What is the process for checking your solution in an equation?

Back

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