Solving Equations using 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 v: -63 = 22 - 5(6v - 1)

Back

v = 3

Front

Solve for x: 18x - (8x - 7) = 67

Back

x = 6

Front

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

Back

n = -2

Front

Solve for t: 6 = 15(t + 2) + 9t

Back

t = -1

Front

Solve for w: 11 = 7w - 3(4w + 8)

Back

w = -7

Front

What is the first step in solving an equation using the Distributive Property?

Back

The first step is to apply the Distributive Property to eliminate parentheses by multiplying the term outside the parentheses by each term inside.

Front

How do you isolate a variable in an equation?

Back

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

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.