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

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

Solve for x: 3(2x + 5) = 39

Back

x = 4

Front

What is the first step in solving the equation 3(3x - 7) = 24?

Back

The first step is to use the distributive property to eliminate the parentheses.

Front

What does 'combining like terms' mean?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve for x: 2x - 3 + 4x = 27

Back

x = 5

Front

What is the first step in solving the equation 3a + 6 - 7a = 10?

Back

The first step is to combine like terms.

Front

Solve for t: 2(t + 6) + 3 = 9 + 5t

Back

t = 2

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What is the goal when solving an equation?

Back

The goal is to isolate the variable on one side of the equation to find its value.