Equations with Distributive Property

6(x + 3) = 48 Distribute
6x + 18 = 48 Subtract 18
6x = 30 Now what????

• Divide by 6
  x = 5
• Subtract by 6
  x = 24

Tags

CCSS.7.EE.B.4A

4(5 - x) = 8 Distribute
20 - 4x = 8 Subtract 20
Keep going...you've got this?           
 

• x = 3
• x = - 7
• x = 7
• x = - 3

Tags

CCSS.7.EE.B.4A

7(x + 2) + 3 = 73 Step 1: Distribute
7x + 14 + 3 = 73 Step 2: Combine like terms
7x + 17 = 73 Step 3: Subtract 17
                    Step 4: Divide by 7     

• x = -8
• x = 8
• x = - 12.86
• x = 12.86

Tags

CCSS.7.EE.B.4A

8(x -3) = 96 Step 1: Distribute
---------------- Step 2: Combine like terms
8x - 24 = 96 Step 3: Add or Subtract
                    Step 4: Multiply or  Divide   

• x = - 9
• x = 9
• x = 15
• x = -15

Tags

CCSS.7.EE.B.4A

Step 1: Distribute
Step 2: Add or Subtract
Step 3: Multiply or  Divide 
You've got this!
9(x + 3) = 27

• x = -3
• x = 3
• x = 9
• x = 0

Tags

CCSS.7.EE.B.4A

Step 1: Distribute
Step 2: Add or Subtract
Step 3: Multiply or  Divide 
You've got this!
12(x + 20) = 372

• x = 51
• x = 29.33
• x = 11
• x = - 11

Tags

CCSS.7.EE.B.4A

 4(x - 5) = 44

• x = 6
• x = 16
• x = -6
• x = -16

Tags

CCSS.7.EE.B.4A

3(x - 20) = 15

• x = 15
• 3x = 75
• x = 25
• x = 72

Tags

CCSS.7.EE.B.4A

5(x - 9) - 4 = 51 Step 1: Distribute
5x - 45 - 4 = 51 Step 2: Combine like terms
____________ Step 3: Add or Subtract
____________ Step 4: Multiply or  Divide   

• x = 0.4
• x = 20
• x = 7
• x = not here

Tags

CCSS.7.EE.B.4A

8(x + 100) - 3 = 837 Step 1: Distribute
8x + 800 - 3 = 837 Step 2: Combine like terms
____________ Step 3: Add or Subtract
____________ Step 4: Multiply or  Divide 

• x = 40
• x = 5
• x = 204.25
• not here

Tags

CCSS.7.EE.B.4A