Algebra Fall, 2009

Algebra Fall, 2009

Test: Fundamental Rules of Algebra

Name: Mr. Hershman

Part I. (20 points) Solve each of the problems without a calculator, show all work, and provide verbal explanations to support your answers. 1. Evaluate

5(3x+2) 3÷4

+

2÷3 2(x−1)

for x = 3. 2 pts

2. Respond to each statement in complete sentences. ?

(a) There is an associative property of subtraction: a − (b − c) = (a − b) − c

(b) There is a commutative property of multiplication: cat = act

4 pts

Algebra/T1

– Page 2 of 3 –

Name:

3. Justify each step shown below by the Associative, Commutative, or Distributive Property. You may also use Substitution or any of the Properties of Equality (such as the Addition Property of Equality). 4(x + 3) = 10 2÷3 4x + 12 = 10 2÷3 3 · (4x + 12) = 10 2 20 4x + 12 = 3 16 4x = − 3 4 x=− 3

Given

2 pts

(1) (2) (3) (4) (5) (6)

4. Simplify 3x + 2x(3x + y) + 4(x − 2y) 2 pts

?

5. Does 3x + 2x2 = 5x3 ? Clearly explain your answer 2 pts

Algebra/T1

– Page 3 of 3 –

Name:

6. What is the difference between (xy)2 and xy 2 ? 2 pts

7. 5 13 + 3 52 2 pts

8. What is

5 6

of 2 32 ? 2 pts

9. Johnny waited 5 32 minutes longer than Shane. And Alexandra waited 3 14 minutes less than Shane. How many minutes longer did Johnny wait then Alexandra?

2 pts