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Math > Mini Exam 1 - grade 8 > Flashcards

Mini Exam 1 - grade 8 Flashcards

1
Q

What is a term?

A

A collection of letters and/or numbers which are separated by plus and minus signs

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2
Q

What is a variable?

A

The letter in the expression. Its value can vary

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3
Q

What is constant?

A

The number without the variable. It has a fixed value

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4
Q

What is coefficient?

A

The number that is being multiplied by the variable

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5
Q

What is polynomial?

A

An algebraic expression with one or more terms. Exponents must be whole numbers

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6
Q

What is a monomial?

A

One term
Eg. 3x4

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7
Q

What is a binomial?

A

Two terms
Eg. 2x+5

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8
Q

What is a trinomial?

A

Three terms

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9
Q

What is an equation?

A

two expressions that are made to equal each other

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10
Q

What is a substitution?

A

replacing the variable with a particular value

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11
Q

What is a whole number?

A

All numbers. Not fractions, decimals and can’t be negative numbers

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12
Q

What is real numbers?

A

Rational and irrational numbers together. Can be put on the number line

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13
Q

What is the identity element for addition and subtraction?

A

0

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14
Q

What is the identity element for multiplication and division?

A

1

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15
Q

What is counting numbers?

A

Whole numbers or natural numbers
Not the number zero
Positive integers
not negative integers, fractions or zero

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16
Q

What is an infinite set?

A

A set whose events can’t be counted. Has no last element

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17
Q

What is the cube of a number?

A

Multiplying a number by itself three times

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18
Q

What is the cube root of a number?

A

The number which, when cubed (multiplied by itself twice) equals the number under the cube root sign

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19
Q

What is a percentage?

A

A ratio or fraction out of 100.

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20
Q

What is composite numbers?

A

A number with two or more factors

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21
Q

What is a special number?

A

1 is a special number. It only has one factor. Therefore has no prime number. It may also be irrational numbers

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22
Q

What is the commutative property?

A

The order in which the numbers appear in addition or multiplication calculation does not matter.
Eg. 3+4 = 4+3
Eg. 3x4 = 4x3

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23
Q

What is the associative property?

A

When more than two numbers are added or multiplied, any two of the numbers may be grouped together.
Eg. 2+3+4
= (2+3) +4
= 5 + 4
=9

Eg. 2x3x4
=(2x3) x 4
= 6x4
=24

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24
Q

What is the rule for multiplication by 0?

A

Anything multiplied by 0 is 0.

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25
Q

What is the rule for division by 0?

A

We cannot divide any number by 0. Division by 0 is underfined

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26
Q

What is ratios?

A

A comparison between two numbers or two quantities with the same unit.

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27
Q

What is a decimal?

A

Numbers written in decimal form. The digits to the left of the decimal point. Not whole numbers

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28
Q

What is the rules for multiplying decimals?

A

We take the comma out. When we are finished we count the decimal places and add it back

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29
Q

What is the rules for division of decimals?

A

We make the divisor a whole number by multiplying by 10,100 and 1000

30
Q

What is rate?

A

A measure of how rapidly one quantity changes in comparison to another.

31
Q

What is a fraction?

A

A fraction represents part of a whole number

32
Q

What is a proper fraction?

A

The numerator has a lower value than the denominator

33
Q

What is an improper fraction?

A

Numerator has a higher value then the denominator

34
Q

What is a mixed fraction?

A

A whole number combined with a proper fraction

35
Q

How do we add and subtract fractions?

A

The denominator must be the same

36
Q

How do we multiply fractions?

A

the denominators don’t have to be the same. Cross cancel by dividing

37
Q

How do we divide fractions?

A

the denominators don’t have to be the same. We then tip and times

38
Q

How do we add algebraic expressions

A

only like terms. must be in alphabetical order and the number must be first

39
Q

What are the squares and cubes

A

(+)2 = +
(-)2 =+
(+)3 = +
(-)3 = -

40
Q

What is natural numbers?

A

All positive numbers 1;2;3;4;5…

41
Q

What is a whole number

A

No negative numbers 1;2;3;4;5;6;7;8;9

42
Q

What is integers?

A

Zahlen = numbers. positive and negative numbers

43
Q

What are rational numbers?

A

Q. fractions. ( 1/3; 5/6; -7/12)

44
Q

What is terminate?

A

It ends. Eg. 1; 3; -4; 3 1/2

45
Q

What is recur?

A

Can be written as a/b. Where a and b are integers and b is not zero. Eg. 123123123123

46
Q

What is irrational numbers?

A

Q’. Number non-terminating and non-recurring. Square roots of non-perfect squares. Cube roots of non-perfect cubes.

47
Q

What is a factor?

A

A factor of a number can divide into the given number without leaving a remainder

48
Q

What is a multiple?

A

A multiple of a number is a number that the original number can go into

49
Q

What is a prime number?

A

Has only 2 factors. 1 and itself

50
Q

What is a power?

A

The number of times a number is multiplied by itself

51
Q

What is the square of a number?

A

Multiplying a number by itself gives the square of a number

52
Q

What is a root?

A

A number which, multiplied by itself once, equals a given number

53
Q

What is a square root of a number?

A

The number which, when squared ( multiplied by itself) equals the number under the square root sign

54
Q

What is a perfect square root?

A

Rational, whole number, natural numbers and integers

55
Q

What is a non-perfect square root?

A

Irrational number

56
Q

What is a negative number square root?

A

Non-real / can’t do

57
Q

What is a perfect cube root?

A

Whole number, integer, rational

58
Q

What is a non-perfect cube root?

A

Irrational

59
Q

What is a negative perfect cube root number?

A

It works

60
Q

What is law 1 of exponents?

A

Law 1 - multiplication of exponents.
When multiplying numbers with the same bases, the base remains the same and you add the exponents. 23 + 24 = 27

61
Q

What are the rules with even and odd exponents?

A

Even exponent = +
Odd exponent = -

62
Q

What is law 2 of exponents?

A

Law 2 - dividing powers of the same base
When dividing the numbers with the same base, the base remains the same and you subtract the exponents. Eg. 28/23 = 25. Over the line change the sign. The power of the base is higher and at the bottom you were add one at the top.

63
Q

What is the zero exponent?

A

Any number raised to the power of zero is equal to one

64
Q

What is law 3 of exponents?

A

Law 3 - raising a power to another power. When a power is raised to another power, you multiply exponents. This happens when in brackets. Eg. (x4)2 = x8

65
Q

What is law 4 of exponents?

A

Law 4 - raising product to a power. When raising a product to a power, we apply the exponent to each product, and multiply the results. (2x)3 = 23x3

66
Q

What is an equation?

A

An equation is a mathematical statement that contains an equal sign.

67
Q

What is a mean?

A

It is the average. The mean of the data is the total sum of all the values and we divide by total number of values

68
Q

What is the mode?

A

The most often. No mode, one mode, more than one mode

69
Q

What is the median value?

A

First arrange in ascending order. It is the data value in the middle. if there are two add them together and divide by two (average).

70
Q

What is the range?

A

Highest number - lowest number.

Math (6 decks)

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