hw #1-6B Due Thurs (A)/Fri (B)

Solve using counters OR number line method of your choice

pg 34 #35-41 ODD

hw #1-7 Due Thurs (A)/Fri (B)

pg 49 #1 a-d (Hint: Treat the leading negative as a (-1) multiplier

#9-19 ODD

SEE MathChamber Academy Unit 1 Videos on

"DISTRIBUTING THE NEGATIVE"

HAND IN

pg 50 #10,#14 using both methods:

- Area Model

- Procedural Algebra showing the distributive property with "arrows"; SHOW YOUR WORK IN A TOP-DOWN FORMAT

We are in a disagreement. I say that for number ten you do 32+8x and after you add 32 and 8 you just put the x next to the answer. She disagrees with me. Am I right, or am I right.

ReplyDeleteEXCELLENT QUESTION... we will be covering this in more depth in our next class, but you sorta know the answer already.

DeleteI love mathematical controversies!!

This controversy questions whether you can SIMPLIFY 32x+8 to 40x.

Allow me to articulate the essential question.

Will two given expressions (in this case 32x+8 & 40x) evaluate to the same result FOR ALL VALUES OF THE VARIABLE (in this case 'x')?

When x=1, 32x+8=40 and 40x=40, therefore equivalent, right?

Will this work for other values of x, e.g. x=2, x=17, x=-213?

If the expressions are equivalent FOR ALL VALUES OF THE VARIABLE, then you have equivalent expressions.

So you tell me... who's right?

On 41, how do you subtract a fraction and a negative fraction.

ReplyDeleteNever mind

ReplyDeleteHow can you simplify number 1a if you don't know what j is? Would it be 14j?

ReplyDeleteJust to be clear, do we show this mathematically or using the area form. Like a rectangle??

ReplyDeleteShow the area model AND the procedural algbera... not to worry, we'll be spending the next class on many examples!!

DeleteThank you! Really helps :)

DeleteFor 1a (j+2)7 can you add 7j and 14 together to make 21j, or would (7j+14) be the answer?

ReplyDeleteI'm gonna assume that you didn't take my advice and watch any of the 1-7 videos on MathChamber OR read the answer above regarding the handling of the expression "32x + 8" which is really the same question you just asked.

DeleteThe end of this video should help...

http://www.screencast.com/t/03gtXj4vEUB

lmk if this helped.

7j and 14 are terms in an expression.

A "term" can be a number, a variable, or the PRODUCT of a number and a variable or variables.

5; 5x; 5xy; 5x^2y; -5x^3y^2; are all considered terms

In an algebraic expression, terms are separated by a plus or minus sign.

Like terms share the same variable(s) (to the same exponent)

5 and 6 are like terms because they are both CONSTANTS, they combine to form the number 11.

5x + 6x are like terms, they combine to form 11x

5y^2 + 6y^2 are like terms, they combine to form 11y^2

5x + 6 cannot be combined, they are not like terms.

Ok thanks Mr. C that helped

Deleteshall I call you Mr. or Ms. Resourceful?

Delete