Algebra Flashcards

(32 cards)

1
Q

What are variables?

A

Letters that represent numbers

Symbols without permanent values

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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

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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?

19
Q

What happens when you graph a linear equation?

A

It creates a line

20
Q

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

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
What is a Literal Equation?
An equation involving letters
26
What is an absolute value?
|x|
27
What is an absolute value equation?
|x - 7| = 2
28
When dealing with inequalities, what happens when both sides are multiplied or divided by the same NEGATIVE number?
The inequality sign reverses
29
When dealing with inequalities, what happens when we take the reciprocal of both sides?
The inequality sign reverses Reciprocal = Flipped fraction
30
Why do we need to be careful when squaring both sides of an inequality?
It will sometimes (but not always) cause the inequality sign to be reversed
31
What is important to remember about x²?
x may be positive or negative
32
What are constants? | 2
Numbers with constant values. Usually integers