Solving Multistep Equations with Distributive Property

What is the first step in solving a multi-step equation?

• Distribute (if necessary)

• Combine Like Terms

• Move the Variable

• Undo Multiplication / Division

Tags

CCSS.8.EE.C.7B

• Distributive Property of Equality

• Combine like terms

• Addition Property of Equality

• Subtraction Property of Equality

Answer explanation

From step 1 to step 2 notice the parantheses go away. Tha tis because

Tags

CCSS.HSA.REI.A.1

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Get rid of the variable

Tags

CCSS.6.EE.B.7

6(3x - 5) - 7x = 25

• x= 5

• x= 6

• x= -5

• x= -6

Tags

CCSS.8.EE.C.7B

Solve the equation.

22 - 5 (6v-1) = -63

• v= -5

• v= -2

• v= 8

• v= 3

Tags

CCSS.8.EE.C.7B

Solve the equation.

6(3x-5) -7x=25

• x= 5

• x= 6

• x= -5

• x= -6

Tags

CCSS.8.EE.C.7B

Solve the equation.

-4 (8+5n) = 8

• n= -4

• n= 3

• n= -2

• n= 1

Tags

CCSS.7.EE.B.4A

• Combine like terms first

• Apply the distributive property first

• Isolate the variable first

• Use inverse operations first

Which steps can be used to solve for the value of y?

3(𝑦 + 5) = 45

(a)  

Tags

CCSS.7.EE.B.4A

5(x-3)=40

• 11

• 43/5

• 38

Tags

CCSS.7.EE.B.4A