Equations with Fractions and 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.

Tags

CCSS.6.EE.A.3

Front

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

Back

x = 1

Tags

CCSS.8.EE.C.7B

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

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

Back

x = 3

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a numerator (top number) over a denominator (bottom number).

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

Back

x = 3

Tags

CCSS.8.EE.C.7B

Front

What is the first step in solving an equation with fractions?

Back

The first step is often to eliminate the fractions by multiplying both sides of the equation by the least common denominator (LCD).

Front

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

Back

x = 5

Tags

CCSS.8.EE.C.7B

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest number that can be a common multiple of the denominators in a set of fractions.

Front

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

Back

m = 8

Tags

CCSS.8.EE.C.7B