Basics Flashcards

1
Q

Name Transitive property with a,b,c

A

If a = b and b = c, then a = c.

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2
Q

What is a Cartesian coordinate pair?

A

a coordinate pair (x, y)

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3
Q

A relation is a set of ordered pais. How is it notated?

A

{ }

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4
Q

What are domain and range in relations with ordered pairs?

A

domains are inputs(x-values) and range are outputs(y)

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5
Q

find the distance, d, between the two points (x1, y1) and (x2, y2)

A

d= SR(X2-X1)2+(y2-y1)2

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6
Q

Finding the midpoint?

A

M= (x1+x2, y1+y2)
____ ____
2 2

give result as ordered pair

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7
Q

Solving inequalities when absolute value is involved.
What happens with |ax ± b| < c?
What happens with |ax ± b| > c?

A
  • becomes two inequalities:
    ax ± b < c AND ax ± b > –c
  • ax ± b > c OR ax ± b < –c
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8
Q

Interval notation

  • what does (–∞, –4)(–2, ∞) mean
  • what does (–∞, –4)U(–2, ∞) mean
A

like this (–∞, –4)

  • the union symbol AND means that the solution can belong to either interval.
  • OR
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9
Q

Rewrite 3SR82 #3 as radical index and 82 is under SR# with only an exponent

A

8**2/3

Fractional exponents are roots and nothing else.

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10
Q

don’t leave radicals in the denominator of an expression when you write it in its final form.

  • 2/SR3?
  • 1/SR5 - 2
A
  • Multiply both sides with SR3, so you get 2SR3/3
  • Multiplying a number by its conjugate
  • multiply the top and bottom by the conjugate of it, which is SR5 + 2 … result: SR5+2/5-4, so SR5+2
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