Multi-Step Equations

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

Solve the equation: 8v - 4(v + 8) = 8

Back

v = 10

Front

Solve the equation: 3c + 5 = 23

Back

c = 6

Front

Which of the following equations has no solution? 3(2x+1) = 6x+1

Back

This equation has no solution because it simplifies to a false statement.

Front

Solve the equation: 3x - x + 2 = 4(2x - 1)

Back

x = 1

Front

Solve the equation: 4x + 7 = 23

Back

x = 4

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 two or more terms inside a set of parentheses.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate an equation so that the variable is on one side of the equation by itself.

Front

What is a solution to an equation?

Back

A solution to an equation is a value that, when substituted for the variable, makes the equation true.

Front

What is a false statement in an equation?

Back

A false statement occurs when an equation simplifies to a contradiction, indicating that there are no solutions.