Algebra Flashcards

1
Q

What does the word “distribute” mean in algebra?

A

“Distribute” is another word for expand by multiplying (break the brackets)

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2
Q

What is the distributive law of multiplcation of an algebraic expression?

a(b + c)

A

It is the general rule for expansion of bracketed terms in an algebraic expression

a(b + c) = ab + ac

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3
Q

Expand (distribute) the following:

A

Get rid of the bracket by multiplying what’s outside by each thing that’s inside

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4
Q

Expand the following:

A

Careful with that negative sign in front of the 3!

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5
Q

Distribute

A
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6
Q

Distribute the following:

A
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7
Q

What is a BINOMIAL?

A

A BINOMIAL is an expression that contains two terms.

e.g. (2x -1)

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8
Q

What is a TRINOMIAL?

A

A trinomial is an expression that contains THREE terms.

e.g. x2 + 2x + 1

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9
Q

What is the FOIL method?

A

It’s for expanding two sets of brackets that contain binomials, like

(x+1)(x+2)

F: first

O: outside

I: inside

L: last

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10
Q
A

Answer: x2 + 3x + 2. How?

(Don’t forget to combine like terms at the end)

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11
Q
A
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12
Q

What are like terms?

A

They are terms that have the exact same variables.

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13
Q

What is a “term”?

A

It’s a group of numbers and letters that are separated by add or subtract.

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14
Q

Are you allowed to add or subtract terms with different variables (unlike terms)?

A

No. You can only add/subtract like terms.

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