VETS solving multi-step Algebraic Equations

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

• isolate the variable.
• check the solution.
• guess and check.
• Combine Like Terms.

Which of the following equations require you to use the Distributive Property first?

Select all that apply.

• 6x - 8 = 7( x + 2 )

• 7n - 5 = 3

• 2( a - 9 ) = 9a + 1

• 4 - 9y = 8 + 4y - 2

Let's Practice using the Distributive Property.

6( x - 3 )

• x - 18

• 6x + 18

• 6x - 18

• 6x - 9

-3( n - 8 )

• 3n - 8

• -3n - 24

• -3n + 24

What is the first thing you should do to simplify an equation?

• add

• Distributive Property

• Combine like terms

• divide

Check the boxes that show like terms.

• 5 and -8

• 4n and -8x

• -9 and 9x

• 1 and 7

• 6y and 8y

Let's practice combining like terms. (no equal sign)

7x - 8 + 3x - 1

• 10x - 9

• 21x + 8

• 4x + 9

• 10x + 9

• 3 + 4m + 5 = 23

• 5m + 8 = 23

• 4m + 8 = 23

• 3 + 5m + 8 = 23

8v - 4(v + 8) = 8

eight v minus 4 open parenthesis v plus 8 close ) "is equal to" eight

• 2
• 10
• 4
• -4 

2x - 3 + 4x = 27

two x minus 3 plus four x "is equal to" twenty seven

• 12
• 4
• 5
• 15