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. It often involves combining like terms, using the distributive property, and isolating the variable.

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 distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a set of parentheses.

Front

Solve for c: 3c + 5 = 23

Back

c = 6

Front

Solve for p: 4p = 16

Back

p = 4

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values that can satisfy the equation, often resulting in a contradiction.

Front

Solve for k: 4 + k/2 = -3

Back

k = -14

Front

Solve for x: x/4 - 3 = 9

Back

x = 48

Front

What is a solution set?

Back

A solution set is the set of all values that satisfy a given equation or inequality.

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, which may include combining like terms or using the distributive property.