Solving Equations with Distribution

Front

What is distribution in mathematics?

Back

Distribution is a property that allows you to multiply a single term by each term inside a set of parentheses. For example, a(b + c) = ab + ac.

Tags

CCSS.6.EE.A.3

Front

Solve the equation: 4 - 2(x - 3) = 24

Back

x = -7

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving the equation -3(f - 8) = 39?

Back

Distribute -3 to f and -8.

Tags

CCSS.7.EE.B.4A

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 to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

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

Back

b = 1

Tags

CCSS.7.EE.B.4A

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Tags

CCSS.8.EE.C.7B

Front

Solve the equation: 2x + 3(5x - 7) = 47

Back

x = 4

Tags

CCSS.8.EE.C.7B

Front

What is the distributive property formula?

Back

The distributive property states that a(b + c) = ab + ac.

Tags

CCSS.6.EE.A.3

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.

Tags

CCSS.8.EE.C.7B