Equations with Variables on Both Sides

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

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

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

What is the final answer to

10 + 2n = 8n - 2n + 10 ?

• 12

• 5

• 0

• -15

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

Tags

CCSS.HSA.REI.A.1

Solve for x:

2x - 5 = 3x + 4

• x = 6

• x = -9

• x = -18/13

• x = 10/3

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

5w + 5 = 8w - 10

• -5

• -2

• 2

• 5

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Solve the equation

4x - 5x + 9 =5x - 9

• x = -3

• x = 9

• x = 3

• x = -9

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

8x - 8 = -4x + 16

• 8

• 16

• 24

• 2

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

2 + (¹∕₄)a = 10

• a= 32

• a= 48

• a= 2

• a= -2

Tags

CCSS.7.EE.B.4A

50 = 28.1 + 0.15a

• a= 150

• a= 146

• a= 6

• a= 155

Tags

CCSS.7.EE.B.4A

Solve:
7x = 3x + 24

• 6
• 10
• 14
• 4

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7