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GRE Math > Algebra > Flashcards

Algebra Flashcards

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0
Q

What are variables?

A

Letters that represent numbers

Symbols without permanent values

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1
Q

What are constants?

2

A

Numbers with constant values.

Usually integers

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2
Q

What are monomials?

A

A constant multiplied by a variable

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3
Q

What are coefficients?

A

The constant in a monomial

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4
Q

What are binomials?

A

A monomial added to or subtracted from another monomial

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5
Q

What are trinomials?

A

Three monomials that are added to or subtracted from each other

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6
Q

What are polynomials?

A

2+ monomials that are added to or subtracted from each other

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7
Q

Are square roots always positive?

A

No

They can be either positive or negative

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8
Q

What are like terms?

A

Monomials with the same variable

4x + 2x

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9
Q

What are unlike terms?

A

Monomials with differing variables

4x + 6y

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10
Q

How else could you write….

a(b + c)

A

ab + ac

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11
Q

How else could you write….

ab + ac

A

a(b + c)

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12
Q

How else could you write….

a + b)(x + y

A

ax + ay + bx + by

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13
Q

How else could you write….

(a + b)²

A

a² + 2ab + b²

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14
Q

How else could you write….

(a - b)²

A

a² -2ab + b²

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15
Q

How else could you write….

a + b)(a - b

A

a² - b²

16
Q

What are equations?

A

An equality between two sets of terms

ab = cd

17
Q

What is a linear equation?

A

An equation that has 1-3 variables in the first degree

No variables are multiplied by other variables

2x + y = 8

18
Q

What is an example of an unlinear equation?

A

x² + 3 = 4y

19
Q

What happens when you graph a linear equation?

A

It creates a line

20
Q

If a - b = 4, then b - a = ____

A

-4

21
Q

What is a system of equations?

A

An equation solved for two variables

22
Q

What is a quadratic equation?

A

Ax² + Bx + C = 0

23
Q

Quadratic Equations always have ______.

A

Two roots/answers

24
Q

What is an incomplete quadratic equation?

A

A quadratic equation that is missing either the Bx or the C term

25
Q

What is a Literal Equation?

A

An equation involving letters

26
Q

What is an absolute value?

A

|x|

27
Q

What is an absolute value equation?

A

|x - 7| = 2

28
Q

When dealing with inequalities, what happens when both sides are multiplied or divided by the same NEGATIVE number?

A

The inequality sign reverses

29
Q

When dealing with inequalities, what happens when we take the reciprocal of both sides?

A

The inequality sign reverses

Reciprocal = Flipped fraction

30
Q

Why do we need to be careful when squaring both sides of an inequality?

A

It will sometimes (but not always) cause the inequality sign to be reversed

31
Q

What is important to remember about x²?

A

x may be positive or negative

GRE Math (6 decks)

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