CIA #2 Multi-Step Equations and Types of Solutions Review

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

What does it mean if an equation has no solutions?

Back

An equation has no solutions when there is no value for the variable that makes the equation true. This often occurs when simplifying leads to a false statement, such as 0 = 5.

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions when any value for the variable satisfies the equation. This typically happens when both sides of the equation simplify to the same expression.

Front

Solve the equation: 3x + 8 = 9 + 3x

Back

No solutions.

Front

Solve the equation: 4x - 5x + 9 = 5x - 9

Back

x = 3.

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 the equation: 3x + 2(4x - 4) = 3

Back

x = 1.

Front

What is the first step in solving multi-step equations?

Back

The first step is often to simplify both sides of the equation by combining like terms and using the distributive property.

Front

Solve the equation: -5(4x - 2) = -2(3 + 6x)

Back

x = 2.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.