Multi-Step Equations: Variables on Both Sides

What is the first step you should take to solve this problem?

1 + 4n = 1 - 8n - 6n

• add 8n to both sides

• add 6n to both sides

• combine the like terms -8n & -6n

What is the next step you should take?

1 + 4n = 1 - 14n

• Collect the variables (letters) to the left

• subtract 1 from both sides

• add 14n to both sides

• subtract 14n to both sides

What is the next step you should take?

1 + 18n = 1

• subtract 1 to both sides

• collect the numbers to the right

• add 1 to both sides

What is the next step you should take?

18n = 0

• multiply both sides by 10

• divide both sides by 10

• add 10 to both sides

• subtract 10 from both sides

What is the final answer to

1 + 4n = 1 - 8n - 6n ?

• 12

• 5

• 0

• -15

What is the first step you should take to solve this problem?

-4(b - 2) = -3 +7b

• add 3 to both sides

• subtract 7b from both sides

• Distribute -4 to the b and -2

What is the next step you should take?

-4b + 8 = -3 + 7b

• Collect the variables (letters) on the left side

• subtract 7b from both sides

• add 4b to both sides

• add 7b to both sides

What is the next step you should take?

-11b + 8 = -3

• subtract 8 from both sides

• collect your numbers on the right

• add 8 to both sides

• add 3 to both sides

What is the next step you should take?

-11b = -11

• add 11 to both sides

• subtract 11 from both sides

• divide both sides by 11

• divide both sides by -11

What is the final answer to

-4(b - 2) = -3 + 7b

• 2

• -10

• 1

• -3

Tags

CCSS.8.EE.C.7B