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Math 060 > Chp 1 > Flashcards

Chp 1 Flashcards

0
Q

It changes

A

Variable

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1
Q

A letter that represents various numbers

A

Variable

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2
Q

A letter can stand for just one number

A

Constant

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3
Q

There is no equal sign

A

An algebraic equation

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4
Q

Consists of variables, constants, numerals, operations signs, and grouping symbols

A

Algebraic expression

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5
Q

Replacing a variable with a number we say that’s is

A

Substituting

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6
Q

When we replace all of the variables in an expression with numbers and carry out the operations in the expression.

A

Evaluating the expression

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7
Q

Explain the steps of this problem:

Evaluate x + y when x = 37 and y = 29

A
  1. Substitute 37 for x
  2. Substitute 29 for y
  3. x + y = 37 + 29 = 66
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8
Q

37 + 29 = 66 What number would be the value.

A

66 would be the value

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9
Q

How would you evaluate 3y when y = 14

A

Substitute the y for 14
3y = 3 x 14
3 x 14 = 42

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10
Q

What is the formula for area of a

rectangle

A

A = lw

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11
Q

Find the area when l is 24.5 in. and w is 16 in.

A
  1. The formula is A = lw
  2. We substitute 24.5 in for l and 16 in for w
  3. 24.5 x 16 =
  4. 392 square inches
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12
Q

What is the fraction bar

A

A symbol of division

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13
Q

How would you evaluate a/b when a = 63 and b = 9.

A
  1. Substitute a for 63 and b for 9
  2. Divide
  3. 9 divided by 63
  4. 7
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14
Q

How would you evaluate 12m/n when m = 8 and n = 16

A
  1. Substitute m for 8
  2. 12 x 8 = 96
  3. Then substitute n for 16
  4. 16 / 92 = 6
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15
Q

Added to

A

Addition

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16
Q

More than

A

Addition

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17
Q

Increased by

A

Addition

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18
Q

Sum

A

Addition

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19
Q

Total

A

Addition

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20
Q

Plus

A

Addition

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21
Q

Subtract

A

subtraction

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22
Q

Subtracted from

A

Subtraction

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23
Q

Difference

A

Subtraction

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24
Q

Minus

A

Subtraction

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25
Q

Less than

A

Subtraction

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26
Q

Decreased by

A

Subtraction

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27
Q

Take away

A

Subtraction

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28
Q

Product

A

Multiplication

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29
Q

Times

A

Multiplication

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30
Q

Of

A

Multiplication

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31
Q

Divided by

A

Division

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32
Q

Divided by

A

Division

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33
Q

Quotient

A

Division

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34
Q

Translate

Twice or two times some number

A

Y x 2, 2 x y, 2 times y or 2y

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35
Q

Thirty-eight percent of some number

A

38%• n, 0.38 x n, 0.38n

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36
Q

Seven less than some number

A

x - 7

Remember less than some number so x goes first same as it were 10 less than 7

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37
Q

Eighteen more than a number

A

t + 18 or 18 + t

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38
Q

A number divided by 5

A

M/5, or

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39
Q

Five more than some number

A

N + 5, or 5 + n

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40
Q

Half of a number

A

1/2t, t/2,

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41
Q

Five more than three times some number

A

3p + 5 or 5 + 3p

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42
Q

The difference of two numbers

A

x - y

43
Q

Six less than the product of two numbers

A

mn - 6

44
Q

Seventy-six percent of some number

A

76%z or 0.76z

45
Q

Four less than twice some number

A

2x - 4

46
Q

Eight less than some number

A

x - 8

47
Q

Eight more than some number

A

8 + n or n + 8

48
Q

Four less than some number

A

n - 4

49
Q

One-third of some number

A

1/3 • p or p/3

50
Q

Six more than eight times some number

A

8x + 6, or 6 + 8x

51
Q

The difference of two numbers

A

x - y

52
Q

Fifty-nine percent of some number

A

59%n or 0.59n

53
Q

Two hundred less than the product of two numbers

A

xy - 200

54
Q

The sum of two number

A

z + y

55
Q

A collection of objects

A

A set

56
Q

One way to name a set uses what is called

A

Roster notation

57
Q

Example of roster notation is

A

Numbers such as 0, 2, and 5 is {0,2,5}

58
Q

Sets hat are part of other sets are called

A

Subsets

59
Q

Name the two important subsets of the real numbers

A

Natural and whole numbers

60
Q

{1, 2, 3, ….} these numbers are the numbers used for counting

A

Natural numbers

61
Q

{0,1, 2, 3, …….} this is the set of natural numbers and 0.

A

Thee set of whole numbers

62
Q

Represented on the right of zero on the number line

A

The natural numbers

63
Q

The natural numbers and zero are

A

The whole numbers

64
Q

Creating a new set of numbers by starting with the whole numbers 0, 1, 2, 3, and so on is called

A

Integers

65
Q

Consist of these new numbers and whole numbers

A

Integers

66
Q

{….,-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5,….}

A

The set of integers

67
Q

Integers to the left of the number line are called

A

Negative integers

68
Q

Natural numbers are also called

A

Positive integers

69
Q

Neither positive or negative

A

Zero

70
Q

-1 and 1 are called

A

Opposites

71
Q

Is its own opposite

A

Zero

72
Q

Exy ended infinitely on the number line to the left and right

A

The integers

73
Q

To create a large number system, we consider quotients of integers with nonzero division. This large number system is called

A

Rational numbers

74
Q

2/3, 4, -3, 2.4 are

A

Rational numbers

75
Q

= the set of numbers a/b, where a and b are integers and b is not equal to 0

A

Rational numbers

76
Q

Means to find and marks its point on the number line

A

Graph

77
Q

How do you convert to decimal notation

A

First find the decimal notation for the fraction. 5/8

Second divide

78
Q

Some points on the number line where there is no rational number

A

Irrational numbers

79
Q

What kinds of numbers are irrational numbers?

A

Pie and square root

80
Q

Decimal notation for rational numbers

A

Either terminates or repeats

81
Q

Decimal notation for irrational numbers

A

Neither terminate nor repeat

82
Q

The rational and irrational numbers together correspond to all the points on the number line and make up what is called the

A

Real-number system

83
Q

< means

A

Is less than

84
Q

> means

A

Is greater than

85
Q

a < b also has the meaning b > a

A

Order

86
Q

Every true inequality yields?

A

Another true inequality when we interchange the numbers or the variables and reverse the direction of the inequality sign

87
Q

A number is its distance from zero on the number line. We use the symbol
| x | to represent the absolute value of a number c

A

Absolute value

88
Q

How do you find the absolute value

A

If a number is negative, it’s absolute value is the opposite

If a number is positive or zero, it’s absolute value is the same as the number

89
Q

Explain addition on the number line

A

To do the addition a + b on he number line, start at 0, move to a, and the move according to b

  1. If b is positive, move from a to the right
  2. If b is negative, move from a to the left
  3. If b is 0, stay at a
90
Q

What are the rules for addition of real numbers

A
  1. Positive numbers: add the same as arithmetic numbers. The answer is positive
  2. Negative numbers: add absolute values. The answer is negative
  3. A positive and a negative number:
    - if the numbers have the same absolute value, the answer is 0
    - if the numbers have different absolute values,subtract the smaller absolute value from the larger
    • —if the positive number has the greater absolute value, the answer is positive
    • —if the negative number has the greater absolute value, the answer is negative
  4. One number is zero: the sum is the other number
91
Q

For any real Number a. a + 0 = a

A

Identity property of 0

92
Q

Suppose we wanted to add several numbers, some positive and some negative as follow how would you proceed.
15 + (-2) + 7 + 14 + (-5) + (-12) =

A

Change the grouping order when adding by grouping the positive numbers and the negative numbers and then add the separately.
Then add or subtract the results.

93
Q

Say we add two numbers that are opposites, such as 6 and -6what is the result

A

0

94
Q

When opposites are add the result is

A

Always 0

95
Q

Another name for opposites is called

A

Additive inverses

96
Q

True or false… Every real number has an opposite, or additive inverse

A

True

97
Q

Two number whose sum is 0 is called ___________, of each other

A

Opposites or additive inverses

98
Q

The symbol used for opposites

A

-

99
Q

A number a can be changed to -a

A

The opposite of a, or the additive inverse of a

100
Q

The opposite of an opposite is the

A

Is the number itself.. That is for any number a

-(-a)=a

101
Q

How would you evaluate

-x and -(-x) when x = 16

A

If x is 16, then -x = -16
If x is 16, then -(-x) = -(-16) =
The opposite of 16 is -16
The opposite of 16 is 16.

102
Q

For any real number a, the _______, or ________, of a denoted -a, is such that

a + (-a) = (-a) + a = 0

A

Opposite, or additive inverse

103
Q

The difference between a-b is the number c for which a = b + c

A

Subtraction

104
Q

How do you subtract by adding the opposite?

A

For any real number a and b
a - b = a + (-b).

To subtract, add the opposite additive inverse, of the number being subtracted.)
This tells us we can turn any subtraction problem into an addition problem

Math 060 (2 decks)

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