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 first step in solving the equation 5x - 6 = 8 - 2x?

Back

The first step is to combine like terms by adding 2x to both sides, resulting in 7x - 6 = 8.

Front

Solve for x: 5x - 6 = 8 - 2x

Back

x = 2.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side of the equation and all other terms are on the opposite side.

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 each term inside a set of parentheses.

Front

Solve: 2(4x - 3) - 8 = 4 + 2x

Back

x = 3.

Front

What is the solution to the equation 14p - 8 = 22 + 20p?

Back

p = -5.

Front

True or False: To solve an equation, we must get variables on one side and constants on the opposite side.

Back

True.

Front

Solve for r: r + 11 + 8r = 29

Back

r = 2.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, such as numbers like 5, -3, or 11.