WOODLAND HILLS SCHOOL DISTRICT

Name: ______Date: 02/11_

Course: Physics ______Period: _____

ALGEBRAIC MANIPULATIONS of KINEMATICS EQUATIONS #2

For each set of equations to be combined, identify and label the algebra operationperformed in each step, or perform the operation to arrive at the deduced equation.

  1. I: and II:

Step 1: ______

Step 2: ______

Step 3: ______

Step 4: ______

Step 5:______

  1. I: and II:

Step 1:______

Step 2:______

Step 3:______

Step 4:______

Step 5:______

  1. I: and II:

Step 1:______

Step 2:______

Step 3:______

Step 4:______

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Basic Rules and Properties of Algebra

1. Commutative Property of Addition: x + y = y + x2. Commutative Property of Multiplication: x * y = y * x

3. Associative Property of Addition:(x + y) + z = x + (y + z)

4. Associative Property of Multiplication:(x * y) * z = x * (y * z)
5. Distributive Properties of Addition Over Multiplication:a * (x + y) = a * x + a * y

6. Combining Like Terms:a * x + a * y = a * (x + y)
7. Reciprocal of a non zero real number:a*(1/a) = 1
8. Additive inverse of a:a + (- a) = 0
9. Identity Property of Addition:a + 0 = 0 + a = a

10. Identity Property of Multiplication:a * 1 = 1 * a = a

11. FOIL:(a + b) * (c + d) = ac + ad + bc + bd

12. Addition Rule for Equations:If a=b, then a + c=b + c.

13. Multiplication Rule for Equations: If a=b, then ca=cb.