Solving Multiple Step Equations with Parentheses and Distribution

What is the first step in solving this equation? 2a - 4(a - 5) = 10 Choose your answer and then show your work to find the solution.

• Add 4 to both sides

• Add the 2a and a

• Distribute 4 into the parentheses. This means you will do 4 times a and 4 times -5 and end up with 2a + 4a -20 = 10

• Distribute -4 into the parentheses. This will mean you will do (-4 time a) and (-4 times -5) and end up with 2a -4a + 20 = 10

What is the first step in solving a multi-step equation?

• Distribution (If necessary)

• Combine Like Terms

• Move the variable

• Move the constant

Distributing means to ________ the number in front of the parentheses with terms inside the parentheses.

• Add

• Subtract

• Divide

• Multiply

Solve for X.

5 ( 2x + 3 ) = 35

• 2

• 4

• 8

• 3

The objective when solving an equation is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

-11 + 3(b + 5) = 7

What is the solution to the equation?

• 1

• -1

• 3

• -3

Which of the following is equivalent to -9(5c + 4) ?

• - 45c - 36

• 45c - 36

• 45c + 36

• - 45c + 36

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

3x + 2(4x - 4) = 3

What is the solution to the equation?

• 4

• 3

• 2

• 1

8v - 4(v + 8) = 8

What is the solution to the equation?

• 2

• 10

• 4

• -4