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Mathematics > Arithmetic And Number Sense > Flashcards

Arithmetic And Number Sense Flashcards

Basic Algebraic Principles

1
Q

Separated By Addition

Ex. 3x + 4 + 2x

A

Terms

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2
Q

The parts of each term being multiplied

Ex. 3x= 3•x

A

Factor

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3
Q

Terms with same variables raised to the same power

Ex. 3x+2x

A

Like terms

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4
Q

The first part of any term

Ex. The first part of 4x is called?

A

Coefficient

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5
Q

A term with no variable

Ex. The number 4 in 3x+4 is called?

A

Constant term

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6
Q

How many terms are there in 4x+5x+6y-2 ?

A

4 terms

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7
Q

What is the coefficient of the first term in 3x + 4y + 5x?

A

3

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8
Q

What are the like terms in 3x+4x +8?

A

3x and 4x

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9
Q

What is commutative property of addition or CPA?

A

Addition of two real numbers can be done in any orders

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10
Q

What algebraic principle is being applied in the equation below?

3x+5 = 5+3x

A

Commutative property of addition

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11
Q

2x + 5 = 5 +2x is an example of ?

A

Commutative Property Of Addition

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12
Q

9x + 4y + 3z = 3z + 4y + 9x

A

Commutative Property Of Addition

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13
Q

What is commutative property of multiplication?

A

The multiplication of any two real numbers can be done in any order

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14
Q

(a+b+c) + d = a + (b+c+d) is an example of?

A

Associative property of addition

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15
Q

2ab=ba2 is an example of?

A

Commutative Property Of Multiplication

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16
Q

ab=ba is an example of?

A

Associative Property Of Multiplication

17
Q

What is associative property of multiplication?

A

The way in which the number of terms are grouped doesn’t change their sum

18
Q

7(10x)=(7•10)x is an example of?

A

Associative Property Of Multiplication

19
Q

What is associative property of addition?

A

The way in which the terms are grouped doesn’t change their sum

20
Q

3x+ ( 4y+3z) = (3x+4y)+3z is an example of?

A

Associative Property Of Addition

21
Q

6+(4+x)= (6+4)+x is an example of?

A

Associative Property Of Addition

22
Q

What is distributive property?

A

Rewrites the product of a number and a sum as the product of the sums

23
Q

What algebraic principle is being used when performing the FOIL method?

A

Distributive Property

24
Q

a(2a+3b) = 6a²+3ab is an example of?

A

Distributive Property

25
Q

Combine the like terms using the distributive property

8x+12x

A

(8+12)x

26
Q

Combine the like terms using the distributive property

2x+3x+4y+3y+6z+7z+8z

A

(2+3)x + (4+5)y + (6+7+8) z

27
Q

Simply the algebraic expression

4(5x+7)+13x

A

33x + 28

Mathematics (2 decks)

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