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

Back

w = -7

Front

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

Back

x = 6

Front

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

Back

x = 5

Front

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

Back

n = -2

Front

Solve for m: -2(5 + 6m) + 16 = -90

Back

m = 8

Front

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

Back

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

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 check your solution after solving an equation?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is a like term in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.