Solving Multi-Step Equations (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: 4(a + 3) = -32

Back

a = -11

Front

What is the goal of solving equations?

Back

The goal of solving a one, two, or multi-step equation is to find the value of the variable.

Front

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

Back

x = 1

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that makes the equation true.

Front

Solve: -3x + 1 = x + 9 - 4x

Back

No solution.

Front

Solve: 6(-6 - 5v) = 84

Back

v = -4

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 and using the Distributive Property.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, represented by a number in an equation.