R.2 Flashcards

0
Q

Constant term

A

A term consisting of a single non-variable number.

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1
Q

Algebraic term

A

Collection of factors that may include numbers, variables, or expressions within parentheses.

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2
Q

Variable term

A

Any term that contains a variable.

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3
Q

Numerical coefficient

A

The constant factor of a term.

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4
Q

Algebraic expression

A

A single term, or a sum or difference of terms.

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5
Q

Decompose

A

To rewrite a term using a unit fraction.

n-2)/5 = (1/5)(n-2

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6
Q

Commutative property of addition and multiplication.

A

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.

a + b = b + a

a * b = b * a

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7
Q

Associative property of addition and multiplication

A

Within an expression containing two or more occurrences in a row of the same associative operator, the order in which the operations are performed does not matter as long as the sequence of the operands is not changed. That is, rearranging the parentheses in such an expression will not change its value.

(a + b) + c = a + (b + c)

(a * b) * c = a * (b * c)

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8
Q

Additive identity

A

x + 0 = x

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9
Q

Multiplicative identity

A

1 * x = x

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10
Q

Additive inverse

A

For any real number x, there exists a real number -x such that x + (-x) = 0

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11
Q

Multiplicative inverse

A

For any real number x there exists a number 1/x such that x * (1/x) = 1.

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12
Q

Distributive property of multiplication over addition

A

a(b + c) = ab + ac

ab + ac = a(b + c)

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13
Q

Like terms

A

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match.

Like : 3x^2 and -(1/7)x^2

Unlike x^3 and x^2

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14
Q

Unit fraction

A

A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer. A unit fraction is therefore the reciprocal of a positive integer, 1/n.

Examples are 1/1, 1/2, 1/3, 1/4 etc.

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15
Q

x + -x = 0

A

Additive inverse

16
Q

a + b = b + a

a * b = b + a

A

Commutative property

17
Q

(a + b) + c = a + (b + c)

a * b) * c = a * (b * c

A

Associative property

18
Q

ab + ac = a(b + c)

a(b + c) = ab + ac

A

Distributive property of multiplication over addition.