Chapter 2 Flashcards

1
Q

equation

A

a mathematical sentence that shows that two expressions are equivalent

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2
Q

solution of an equation

A

a value of values that make the equation or inequality true

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3
Q

Additional Property of Equality

A

For real numbers a, be, and c, if a = b, then a+c=b+c

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4
Q

Subtraction Property of Equality

A

If a, b, and c are real numbers and a=b, then a-c=b-c

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5
Q

Opposites

A

The opposite of a number a, denoted -a, is the number that is the same distance from zero as a, on the opposite side of the number line. The sum of opposites is 0.

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6
Q

Additive Inverses

A

The opposite of a number. Two numbers are additive inverses if their sum is zero.

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7
Q

Identity element

A

An equation that is true for all values of the variables.

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8
Q

Multiplication Property of Equality

A

If a, b, and c are real numbers and a=b, then ac=bc.

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9
Q

Division Property of Equality

A

For real numbers a, b, and c, where c does not =0, if a =b, then a/c=b/c

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10
Q

Distributive Property

A

For all real numbers a, b, and c, a(b+c) = ab+ac, and: (b+c)a=ba+ca.

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11
Q

Least common denominator

A

The least common multiple of two or more given denominators

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12
Q

Greatest common factor

A

The product of the greatest integer and the greatest power of each variable that divides evenly into each term of the expression.

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13
Q

identity

A

An equation that is true for all values of the variables.

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14
Q

contradiction

A

An equation that has not solutions.

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15
Q

ratio

A

A comparison of two numbers by division

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16
Q

rate

A

A ratio that compares two quantities measured in different units.

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17
Q

scale

A

The ratio of any length in a drawing to the corresponding actual length.

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18
Q

unit rate

A

A rate in which the second quantity in the comparison is one unit.

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19
Q

conversion factor

A

The ratio of two equal quantities, each measured in different units.

20
Q

proportion

A

An equation that states that two ratios are equal

21
Q

cross product

A

In the statement a/b=c/d, the product of the means bc and the product of the extremes ad are called the cross products

22
Q

means

A

The sum of all the values in a data set divided by the number of data values. Also call the average.

23
Q

extremes

A

In the proportion a/b=c/d a and d are the extremes. If the proportion is written as a:b = c:d, the extremes are in the first and last positions.

24
Q

scale drawings

A

A drawing that uses a scale to represent an object as smaller or larger than the original object.

25
Q

scale model

A

A three-dimensional model that uses a scale to represent an object as smaller or larger than the actual object.

26
Q

similar

A

Two figures that have the same shape, but not necessarily the same size.

27
Q

corresponding sides

A

Sides in the same relative position in two different polygons that have the same number of sides.

28
Q

corresponding angles

A

Angles in the same relative position in two different polygons that have the same number of angles.

29
Q

indirect measurement

A

A method of measuring an object by using formulas, similar figures, and/or proportions.

30
Q

scale factor

A

In a dilation, the ratio of a linear measurement of the image to the corresponding measurement of the preimage.

31
Q

percent

A

A ratio that compares a number to 100

32
Q

is

A

equal

33
Q

of

A

multiply

34
Q

part

A

divide

35
Q

commission

A

Money paid to a person or company for making a sale; usually a percent of the sale amount

36
Q

interest

A

The amount of money charged for borrowing money or the amount of money earned when saving or investing money

37
Q

sales tax

A

A percent of the cost of an item that is charged by governments to raise money

38
Q

principal

A

An amount of money borrowed or invested

39
Q

tip

A

An amount of money added to a bill for service; usually a percent of the bill.

40
Q

whole

A

The set of natural numbers and zero

41
Q

percent change

A

An increase or decrease given as a percent of the original amount. Percent increase describes an amount that has grown. Percent decrease describes an amount that has been reduced.

42
Q

percent increase

A

An increase given as a percent of the original amount

43
Q

percent decrease

A

A decrease given as a percent of the original amount

44
Q

discount

A

An amount by which an original price is reduced

45
Q

markup

A

The amount by which a wholesale cost is increased