Spring Exam Flashcards

1
Q

Power of Powers

A

multiplying exponents

(a^2)^5= a^10

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2
Q

Product of Powers

A

multiplying coefficients, then adding exponents

2=(12a^4b^3)(2a^2b^3)= 24a^6b^6

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3
Q

Quotient of Powers

A

subtract (division)

a^3/a^2=a

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4
Q

Negative Exponents

A

reciprocal

a^2=1/a

5^-2=1/25

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5
Q

Zero exponents

A

anything to the power of 0 equals 1

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6
Q

Monomial

A

1 term

2a

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7
Q

Binomial

A

2 terms
2a+3

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8
Q

Polynomial

A

multiple terms

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9
Q

Trinomial

A

Three Terms

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10
Q

Square of The Sum

A

a^2+2ab+b^2

(2a+3)^2

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11
Q

Square of The difference

A

a^2-2ab+b^2

(2a-3)^2

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12
Q

Perfect Square trinomial

A

4x^2+20x+25

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13
Q

Zero Product Property

A

if ab=0 then either a or b equals zero, or they both equal zero

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14
Q

Fundamental Theorem of Arithmetic

A

every # is made up of a unique product of primes

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15
Q

y axis

A

the vertical line on the coordinate plane

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16
Q

X axis

A

the horizontal line on the coordinate plane

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17
Q

slope

A

The steepness of a graph

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18
Q

Linear Equation

A

an equation that when graphed makes a straight line

19
Q

Non linear equation

A

an equation for which the graph is not a line

20
Q

slope intercept form

A

y=mx+b

21
Q

standard form

A

Ax+By=C

22
Q

Slope formula

A

(y₂- y₁) / (x₂- x₁)

23
Q

Greatest Common Factor (GCF)

A

The largest whole number that can divide evenly into two or more given numbers

24
Q

Constant

A

a value that does not change

25
Q

point of origin

A

where the x and y-axis intersect on a coordinate plane: (0,0)

26
Q

Characteristics of quadrants

A

I:(+,+)

II:(-,+)

III:(-,-)

IV:(+,-)

27
Q

parallel lines

A

lines that never intersect because they have the same slope

28
Q

system of equations

A

two or more equations containing the same variables (considered together)

29
Q

radical sign

A

the symbol to show the root of a number

30
Q

Index

A

a # that indicates the grouping of a square root

31
Q

square root

A

a # that when multiplied by itself equals a given number

32
Q

Cubed root

A

a number that when multiplied three times equals a given number

33
Q

product property of radicals

A

√ab = √a * √b

34
Q

like radicals

A

radical expressions with the same index and radicand

35
Q

Radicand

A

number under the radical sign

36
Q

integral point

A

point in which both values are integers

37
Q

Domain

A

X value /input

38
Q

Range

A

Y value

39
Q

Point/Coordinate/Ordered pair

A

(x,y) or (-2,4)

40
Q

vertical lines

A

no slope, x=4

41
Q

Horizontal lines

A

zero slope/undefined
y=4

42
Q

FOIL

A

when squaring polynomials:

first, outer, inner, last

43
Q

Least Common Multiple

A

The smallest multiple that two or more numbers have in common

4, 2-> LCM=2