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

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation. This may involve adding, subtracting, multiplying, or dividing both sides of the equation.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, 2x + 3x = 5x.

Front

Solve: 3(3x - 6) = 18

Back

x = 4

Front

What is the first step to solve the equation 8v - 4(v + 8) = 8?

Back

Distribute the -4 to both terms inside the parentheses: 8v - 4v - 32 = 8.

Front

Solve: 4(x + 1) = 8

Back

x = 1

Front

What is the solution to the equation 3x + 2(4x - 4) = 3?

Back

x = 1

Front

Solve: 4(a + 3) = -32

Back

a = -11

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.