1B2 Solving Multistep Equations 5 (with Distributive Property)

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 n: -4(8 + 5n) = 8

Back

n = -2

Front

Solve for x: -3(x + 4) + 15 = 6 - 4x

Back

x = 3

Front

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

Back

x = 5

Front

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

Back

x = 1

Front

Solve for x: 6(3x - 5) - 7x = 25

Back

x = 5

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate an equation so that the variable is on one side of the equation by itself.

Front

What is the first step in solving the equation 2(x + 3) = 14?

Back

The first step is to apply the Distributive Property: 2x + 6 = 14.

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.