Solving Multi-Step Equations with Distribution

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 like addition, subtraction, multiplication, and division.

Front

What does it mean to distribute in an equation?

Back

To distribute means to multiply a term by each term inside a set of parentheses. For example, in 4(a + 3), you would calculate 4*a + 4*3.

Front

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

Back

x = 1

Front

What is the first step in solving the equation 4(a + 3) = -32?

Back

The first step is to distribute the 4 to both terms inside the parentheses: 4*a + 12 = -32.

Front

Solve the equation: 4(a + 3) = -32

Back

a = -11

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

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

Back

x = 1

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if any value of the variable satisfies the equation, often resulting from equivalent expressions on both sides.

Front

Solve the equation: -124 = 4(1 + 8k)

Back

k = -4

Front

What is the significance of isolating the variable in an equation?

Back

Isolating the variable allows you to find its value by getting it alone on one side of the equation.