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

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a set of parentheses.

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.

Front

How do you solve the equation 14p - 8 = 22 + 20p?

Back

First, rearrange the equation to isolate p: 14p - 20p = 22 + 8, which simplifies to -6p = 30, leading to p = -5.

Front

What is the first step in solving the equation r + 11 + 8r = 29?

Back

Combine like terms on the left side: (1r + 8r) + 11 = 29, which simplifies to 9r + 11 = 29.

Front

How do you check your solution for an equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 2x - 7 - 8x + 4 = 8 - 5x?

Back

Combine like terms to get -6x - 3 = 8 - 5x, then isolate x to find x = -11.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

Front

How do you solve the equation -15 + 4x - 2(x + 4) = 6x - 15?

Back

Distribute -2 to get -15 + 4x - 2x - 8 = 6x - 15, then combine like terms and isolate x to find x = -2.