Solving Equations Combining Like Terms Distributing

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

• add 1 to both sides

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

What is the error?

• Adding 2x to 3x

• Subtracting 5 from both sides

• Adding 2x to -2x

• Dividing by 5 on both sides

Solve: 5x + 15 = 10x - 40

• x = 10

• x = -10

• x = 11

• x = -11

3(x-8)=3x-24

• No Solution

• x=3

• Infinite Solutions

 _____ is when you multiply the outside term to each inside term.

• Combining like terms

• Translating

• Distributing

• Scientific notation

Solve the equation for x:
2x + 3x + 4 = 44

• x = 8

• x = 9

• x = 10

• x = 11

Solve the equation for x:
17 = 12x - 9x + 2x + 2

• x = 1

• x = 2

• x = 3

• x = 4

• Distributive Property

• Associative property of addition

• Substitution property of equality

• Combine Like Terms

Combine Like terms

• 7x - 9

• 17x

• 8x - 9

• -x