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Pre-Algebra > Chapter 6 Terms > Flashcards

Chapter 6 Terms Flashcards

1
Q

-(x)y =?

A

-xy

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2
Q

-xy =?

A

-xy

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3
Q

(-x)y =?

A

xy

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4
Q

Ratio is usually written in _____ ______

A

Fraction form

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5
Q

Another name for quotient

A

Ratio

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6
Q

An equation with two equal ratios

A

Proportion

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7
Q

The quotient of two quatities

A

Ratio

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8
Q

A ratio in fact is no different from a ______ except that ratios are written using a notation other than fractional notation.

A

Fraction

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9
Q

1:2 & 1 to 2 is equal to?

A

1/2

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10
Q

what type of notation is this?—>1:4

A

Colon Notation

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11
Q

To write a ratio as a fraction you must…

A

1) Use the ratio’s first number as the Numerator
2) Use the ratio’s second number as the Denominator

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12
Q

Is this ratio (6 to 11) 11/6 or 6/11?

A

6/11

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13
Q

How to write a combo ratio. 2.6 to 3.1

A

2.6

_

3.1

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14
Q

How to write a combo ratio w/ mixed fractions. 1 1/2 to 7 3/4

A

1

1 -

 2

\_

3

7 -

4
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15
Q

To simplify ratio’s….

A

Make the ratio into a fraction and simply the fraction.

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16
Q

When simplifying ratios _____ ______ can be divided out as well _____ ______.

A

Common factors/ Common units

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17
Q

Because ratios are the quotient of two quantities the frational notation of a ratio is never written as a ____ ____. even if it is equal to the regular ______

A

Mixed fraction/ Fraction.

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18
Q

How do you clear the ratio of decimals?

A

Multiply the Ratio(that is in decimal notation) by power of ten so that the the decimal place moves accordingly.

  1. 6 x 100 = 260
    - -
  2. 15 x 100= 315
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19
Q

150

     -         = ..... 

15000
A

* 150* 1

    -                 =            -

150 x 100 100

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20
Q

These are a special type of ratio

A

Rates

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21
Q

They are used to compare different kinds of quantities.

A

Rates

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22
Q

To simplify rates…

A

1) Find the GCF
2) Divide both the numerator and denominator by it
3) Your answer is the quotient.
* 3/33 *
* 3(gcf) x 1(other factor/answer) = 3 (given rate) *
* and *
* 3(gcf) x 11(other factor/answer)==33(given rate)*

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23
Q

Whenever you have different units for comparison in both the numerator and the denominator. You should ______ ______ _____ _____ in the numerator and denominator of both compared rates (fractions.)

A

Write the units out

24
Q

The rates (fractions) with different units in the numerator and denominator DO NOT_____ _____

A

DIVIDE OUT.

25
Q

A rate with a denominator of 1.

A

Unit rate

26
Q

In the context of unit rates the word_____ translates in to division

A

Per

27
Q

To make a rate a unit rate…

A

1) Divide the numerator by the denominator
2) Make the quotient the Numerator
3) Make “1” the denominator.

3600 ft 12 ft

-            =        -

300sec 1 sec

28
Q

How to find unit prices…

A

1) Divide the numerator by the denominator
2) Make the quotient the Numerator
3) Make “1” the denominator.
4) Add the unit names
(number) Unit name

             -

(number) Unit name

29
Q

In economics a unit rate is also known as

A

Unit price

or

Money per item

or

Price per unit

30
Q

You can use unit prices to determine the ____ _____

A

Better Buy

31
Q

A statement that two ratios or rates are equal

A

Proportion

32
Q

The rule of proportion

A

IF

A C

  • & -

B D

are two ratios then

A C

  • = -

B D is a proportion.

33
Q

To emphasize a proportion we say…

A

A is to B as is C is to D

34
Q

In two separate proportions the _______of one numerator must be the same as the other numerator. this also goes for the Denominator.

A

Unit.

35
Q

The first way to compare to ratios to see if they are proportionate…

A

1) Write both in simplest form
2) Compare
3) If both are the same they are proportionate.

Ratio 1

(75/100) = 3/4

Ratio 2

(15/20)

Both ratios reduce to 3/4 thus they are proportionate.

36
Q

The second way compare to ratios to see if they are proportionate…

A

1) Cross multiply the two ratios diagonally
2) If they both result in the same cross product they are proportionate.

37
Q

The result of diagonally multiplying two ratios

A

Cross Product

38
Q

To solve for x in two proportions…

A

1) Cross multiply
2) Place each cross product on separate sides of an equation
3) Solve for x

2/3 = x/30—-> 2*30=3*x

39
Q

When two triangles have the same shape and the same size.

A

Congruence (Congruent)

40
Q

If two angles have the same measure

A

Corresponding

41
Q

Corresponding angles are marked the same way with a ____ ____.

A

Tic Mark

42
Q

A straight line mark that intersects an arc used to denote the correspondence of angles in different/separate triangles.

          or                  that intersects a side to denote the correspondence of side lengths in different/separate triangles.
A

Tic mark

43
Q

The tic mark can also be used as a _____ tic, or ____tic as or none for the third side, as long as each corresponds to the side of both triangles.

A

Single/ Double

44
Q

The rounded line that the tic intersects

A

An arc

45
Q

In congruent triangles the measures of corresponding angles are ______ and the length of corresponding sides are also ______

A

Equal

46
Q

How to indicate angles with equal measure

A

∠ABC and ∠DEF

47
Q

How to indicate sides with equal length

A

__ __

AB and CD

48
Q

How to determine whether two triangles are congruent. A,S,A

A

1) If both triangles have two equal angles

and

2) The length between both pairs of equal angles is also equal.

49
Q

How to determine whether two triangles are congruent. S,A,S

A

1) If both triangles have two equal sides

and

2) The angle between both pairs of equal sides is also equal.

50
Q

How to determine whether two triangles are congruent. S,S,S

A

If both triangles have 3 equal lengths that correspond to each other.

51
Q

When two triangles have the same shape but not necessarily the same size they are…

A

similar

52
Q

In similar triangles the angles are ____

A

equal

53
Q

In similar triangles the sides are_____

A

In proportion

54
Q

What are the three ways to to prove congruencet???

A

Angle,Side,Angle

Side,Side,Side

Side, Side Angle

55
Q

What is the one way not to determine congrunce?

A

Angle,Angle, Angle

56
Q

What is the formula for a fulcrum balance.

A

First Weight/ Second Distance= Second Weight/First Distance

Pre-Algebra (8 decks)

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