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 by itself on one side of the equation.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

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

Back

v = 10

Front

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

Back

x = 1

Front

Solve the equation: 4 + k/2 = -3

Back

k = -14

Front

Solve the equation: 3(x - 1) = 2x + 9

Back

x = 12

Front

Solve the equation: 5x + 4 = -6

Back

x = -2

Front

What is an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation, such as addition and subtraction or multiplication and division.