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Algebra 1 > Final > Flashcards

Final Flashcards

1
Q

Describe the rules for order of operation

A
  1. Parentheses and other grouping symbols
  2. Exponents
  3. Multiply & divide left-right
  4. Add & subtract left-right
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2
Q

What three things can describe an irrational number?

A
  1. A decimal with 3 dots
  2. An imperfect square root
  3. Pi
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3
Q

What is meant by like terms

A

A term with the same variables and same exponents

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4
Q

Define absolute value

A

The distance of a number from 0 and it must be positive

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5
Q

How does one tell whether an equation has one answer, infinitely many, or no answers

A

One answer- x=4
Infinitely many answers- 3=3
No answer- 4=3

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6
Q

What is a conversion factor

A

A ratio that is equal to 1 used to convert units of measure ex: 1kg
_______
100g

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7
Q

How do we find the percent of increase or decrease

A

|original - new|
__________________
Original

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8
Q

Describe what happens when we divided an inequality by a negative number on each side

A

The inequality sign flips

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9
Q

What two words join compound inequalities

A

And, or

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10
Q
  1. In an absolute value inequality, < is what type of sentence
  2. > is what type of sentence
A
  1. And

2. Or

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11
Q

An “and” sentence shows ______________ and an “or” sentence shows _________

A

Intersection

Union

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12
Q

Explain how y=|x-2|+4 is graphed

A

The parent absolute value graph is shifted to the right 2 and up 4

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13
Q

Tell how to find the domain and range of a relation and how to determine whether it is a function

A

The domain is all of the x’s
The range is all the y’s
If the x’s do not repeat it’s a function

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14
Q

What does f(x) g(x) h(x) etc. represent

A

Y

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15
Q

In order for a sequence to be arithmetic, what must it have

A

It must have a common difference

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16
Q

Tell 3 ways to describe or show slope

A

^y
____. Y2-y1
^x ________
X2-X11

Rate of change

Rise over run

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17
Q

What is the slope of a horizontal line

A

0

18
Q

What is the slope of a vertical line

A

Undefined

19
Q

What is slope intercept form of a line

A

Y=mx+b

20
Q

What is point slope form of a line

A

Y-y1=m(x-x1)

21
Q

What is standard form of a line

A

Ax+by=c

ABC must be integers

22
Q

I order to have an equation of a line, what two things must one have

A
  1. Slope

2. Point

23
Q

Slopes of parallel lines have __________ slopes, and perpendicular lines have ____________ slopes

A

Same, negative reciprocal

24
Q

What does the correlation coefficient or “r” tell is

A

How closely the data fits the line of recognition you want it to be close to one

25
Q

How do the lines look in a system of 2 or more equations with infinitely many answers
In a system with no solution

A

Infinitely many they overlap

No solution they are parallel

26
Q

How do we know where to color a linear inequality on a coordinate plane

A

Less then below

Greater than above

27
Q

How do we determine the answer to a system of linear inequalities in the coordinate plane

A

The intersection of the shaded areas

28
Q

Anything raised to the zero power is equal to_________except 0 raised to the zero power which is undefined

A

One

29
Q

How can I make a negative exponent a positive exponent

A

Put it under a one

30
Q

How can I multiply powers of the same base

A

Leave the bass alone and add exponents

31
Q

What happens to exponents when we raise a power to a power

A

You multiply them

32
Q

What happens to exponents when I divide

A

You subtract them

33
Q
  1. What equation models exponential growth

2. Exponential decay

A

Growth
Y=a(1+r)^t

Decay
Y=a(1-r)^t

34
Q

Describe how to multiply two binomials

A

Use distributive twice

35
Q

Give five statements to decide what method one would use to factor a polynomial

A

Try common minomial

If two parts try difference of squares

If three parts with understood one try factor pairs

If three parts without understood one try trial and error

If four parts group

36
Q

What are the five steps of trial and error

A

Multiply first and last terms

Find a factor that adds to the middle term

Substitute the factor for the middle term

Group the first two terms and last two terms and do common monomial

Take what’s in parentheses and put what’s left outside in other parentheses

37
Q

What is the quadratic formula

A

X equals negative B plus or minus square root of B squared -4 AC over two a

38
Q

If they discriminate is greater than zero there are ________ solutions

If they discriminate equals zero there is _______solution

If they discriminate is less than zero there are _______solutions

A

2 real
1 real
2 img.

39
Q

The process of ridding a radical from the denominator of the fraction is called

A

Rationalization

40
Q

To simplify a rational expression first one must_____ then state the_____ and then _____common factors

A

Factor completely
Restrictions
Cancel/ slash

Algebra 1 (1 decks)

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