solving 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, often involving operations such as addition, subtraction, multiplication, and division.

Front

What does it mean if an equation has 'no solution'?

Back

An equation has 'no solution' when there are no values for the variable that can satisfy the equation.

Front

What does it mean if an equation has 'infinite solutions'?

Back

An equation has 'infinite solutions' when any value for the variable satisfies the equation, meaning the two sides of the equation are always equal.

Front

Solve for x: 2x + 1 = 2(x - 10)

Back

No Solution

Front

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

Back

x = 0

Front

Solve for x: 3(3x - 6) = 18

Back

x = 4

Front

Solve for x: 4 - 2(x - 3) = 24

Back

x = -7

Front

Solve for x: 3x - 7 = 3(x - 3) + 2

Back

Infinite solutions

Front

What is the first step in solving the equation 4x + 8 = 24?

Back

Subtract 8 from both sides to isolate the term with x.

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.