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Algebra > Chapter 3 > Flashcards

Chapter 3 Flashcards

0
Q

Step 2

A

Simplify both sides of the equation

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1
Q

3.1
Solving literal equations
Step 1

A

Clear equations by multiplying both sides by the LCD using distributive property

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2
Q

Step 3

A

Collect all terms with the variables on 1 side of the equation

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3
Q

Step 4

A

Use the distributive property

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4
Q

Step 5

A

Divide both sides by the coefficient of the variable

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5
Q

3.2

Ratio

A

A comparison of two numbers by division and is often expressed as a fraction

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6
Q

Rate

A

Ratio comparing numbers with different numbers

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7
Q

Unit rate

A

Rate in which the denominator is one

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8
Q

Dimensional analysis (unit analysis)

A

A rate can be converted to an equivalent rate with different units

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9
Q

Unit multipliers

A

Rates with different expressions representing the same quality in the numerator and denominator, so their value is one

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10
Q

Proportion

A

A statement of equality between 2 ratios

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11
Q

Property of proportions

A

In a proportion, the product of the extremes equals the product of the means

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12
Q

Extremes

A

First and the last number

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13
Q

3.3

Similar figures

A

They have the same shape, but not the same size

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14
Q

Similar polygons

A

Polygons in which the corresponding angles are congruent and the sides are are proportional

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15
Q

Scale

A

The ratio of the dimensions of the drawing or model to the corresponding dimensions of the actual object

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16
Q

Scale drawing or model

A

Dimensions are the same scale or ratio to the actual dimensions of the object

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17
Q

Fibonacci and Golden Ratio Sequences

How can a Fibonacci sequence be defined recursively?

A

As An=An-1+An-2 , where A1 and A2 are any two integers

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18
Q

Standard Fibonacci sequence

A

Must have A1=1 and A2=1

19
Q

Golden Ratio Sequence

A

Defined recursively as Bn=An+1
——-
An

20
Q

Golden Ratio

A

Approximately 1.618

21
Q

3.4

Percents

A

A ratio of one to one hundred. The symbol is %

22
Q

The percent equation formula

A

Percent times whole= part

23
Q

3.5

Percent change

A

amount of change
———————– X 100
Original amount

24
Q

Experimental error

A

The difference between the experimental and known values

25
Q

Percent error

A

|experimental value- known value|
—————————————–X 100%
Known value

26
Q

Percent Difference

A

Often used to indicate the precision of repeated measurements when the outcome is expected to be the same

27
Q

Percent difference formula

A

first value - second value|
——————————- X 100%
Average of the values

28
Q

Percent change

A

The ratio of the change in value to the original value

29
Q

3.6

Cost

A

Amount a merchant pays for the merchandise he will sell

30
Q

Markup

A

Amount the merchant adds to his cost to arrive at the retail price

31
Q

Markup rate

A

The amount of markup on an item as a percent of its cost

32
Q

Retail price

A

Merchants cost plus markup, regular amount that merchant asks customer to pay

33
Q

Discount rate

A

The percent by which the retail price is reduced

34
Q

Discount

A

Amount by which the retail price is reduced

35
Q

Sale price

A

Customers cost after the retail price is reduced

36
Q

Tip

A

Amount paid for a personal service

37
Q

Commission

A

Dollar amount an employee receives as a result of the sales he makes

38
Q

Rate

A

Percent used to determine a tip or commission based on the amount of the bill or an employees sales

39
Q

Percent formula

A

Percent times Whole=part

40
Q

Markup formula

A

Markup rate times cost=markup

41
Q

Discount formula

A

Discount rate times retail price= discount

42
Q

Tip formula

A

Tip rate times total bill=tip

43
Q

Commission formula

A

Commission rate times sales=commission

44
Q

Simple interest formula

A

Principal times rate times time= interest

45
Q

3.7

Distance formula

A

d=rt

Algebra (6 decks)

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