Solving Equations with Distribution

Front

What is distribution in mathematics?

Back

Distribution is a property that allows you to multiply a single term by two or more terms inside a set of parentheses. It is expressed as a(b + c) = ab + ac.

Front

Solve the equation: 8v - 4(v + 8) = 8

Back

v = 10

Front

Solve the equation: -11 + 3(b + 5) = 7

Back

b = 1

Front

Solve the equation: 4(x + 2) = 16

Back

x = 2

Front

What is the equivalent expression for -9(5c + 4)?

Back

-45c - 36

Front

Solve the equation: -124 = 4(1 + 8k)

Back

k = -4

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 with distribution?

Back

The first step is to apply the distributive property to eliminate parentheses.

Front

How do you check your solution after solving an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It has no variables raised to a power greater than one.