Rules of Solving Equations

Distribute and simplify the following expression.

-3(2 - 4w) + (-11w)

• -6 + 12w + 11w

• w - 6

• -6 + -w

• -6 + 12w - 11w

In order to solve an equation, we must get variables on side of an equation, and constants on the opposite side.

• True

• False

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x 

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16

What is the next step to solve this equation?
3x - 5 = 7

• Add 5 to both sides of the equation

• Add 3x to both sides of the equation

• Subtract 5 from both sides of the equation

• Subtract 7 from both sides of the equation

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides
• Add the 2a and a 
• Distribute 4 to a and -5
• Distribute -4 to a and -5

• Add 2 to both sides

• Use distributive property to get rid of the parentheses

• Isolate the variable on one side

• Subtract 7 from both sides

• 4

• 3/4

• I have no clue because I don't pay attention to Mrs. Doherty

• What is slope?

• 4

• 3/4

• I have no clue because I don't pay attention

• What is the y intercept?

Write the equation of the line.

• y = -1/3x - 2
• y = 1/3x - 2
• y = 3x - 2
• y = -3x - 2

Using the following graphing, write a linear equation. (Type without spaces)