Flashcards

MN-1002 Maths {1:1}

Connor Davies-Beare Accounting and finance (Bsc UK) Degree English 36 cards

Cards in this deck (36)

1What is a+b equivalent to?b+a
2What is a-b equivalent to?-b+a
3What is a-b+c equivalent to?(a-b)+c
a+(-b+c)
4What is ab equivalent to?ba
The multiplication sign is usually omitted (not b x a)
5What is abc equivalent to?(ab)c
a(bc)
The multiplication sign is usually omitted (not b x a)
6What is an abstract expression?An expression that requires us to extract the underlying essence of a mathematical concept, and remove any connection to real world objects
7What is the economic meaning of negative numbers?A loss
8How do we simplify expressions?By putting terms of the same kind together
i.e. 3a-4b+2a+5b-a-b = 4a
9What does -(-3) equal?3
The negative of a negative number gives the positive value of the number
10What are the THREE multiplication rules?negative x negative = positive
negative x positive = negative
positive x negative = negative
11What are the THREE division rules?negative / negative = positive
negative / positive = negative
positive / negative = negative
12What is (-2) * (-4) * (-1) * 2 * (-1) * (-3) ?-48
An ODD number of negative signs in a multiplication or division sum gives an NEGATIVE answer
13What is \[\frac{5 * (-4) * (-1) * (-3)}{(-6) * 2}?\]\[\frac{-60}{-12} = 5\]
An EVEN number of negative signs in a multiplication or division sum gives an POSITIVE answer
14What do the following equal: P*Q d*8 n*6*t z*z 1*tPQ
8d
6nt
\[z^2\]
t
15What is the order in which we evaluate expression?BIDMAS
Brackets, Indices, Division, Multiplication, Addition, Subtraction
16How do we expand brackets?By multiplying terms to remove the brackets.
Simplification is required when possible.
17What is the tool used to expand TWO brackets?FOIL
18Using FOIL, what does (a+b)(a-b) equal?\[a^2-b^2\]
19What is the definition of factorisation?The operation of resolving a quantity into factors
It is the opposite to expanding brackets
4(2x-6y) = 8x-24y so 8x-24y can be factored into 4(2x-6y)
20How do we factorise simple (linear) expressions?1. Find the highest common factor (HCF) of all of the terms in the equation
2. Put this quantity outside of the brackets
3. Fill the bracket with terms needed to multiply the HCF to give us the original equation
21Factorise the following linear expression: \[6x-4y\]1. The highest common factor between 6x and -4y is 2
2. 6x-4y = 2
3. 3x gives 6x when multiplied by 2 and -2y gives -4y when multiplied by 2
Therefore 6x-4y = 2(3x-2y)
22Factorise: \[x^2-16\] \[9x^2-100\]\[x^2-4^2 = (x+4)(x-4)\]
\[(3x)^2-10^2 = (3x+10)(3x-10)\]
23State the coefficient, variable and power in the following expression: \[9x^4\]Coefficient = 9
Variable = x
Power = 4
24What is a monomial?An algebraic expression consisting of one term
2x
25What is a polynomial?An algebraic expression consisting of more than two terms
\[9x^2-3x+2\]
26What is a linear expression?An algebraic expression consisting of one variable and a constant
4x+3
27What are monomials with zero powers?Simply coefficients
\[5x^0 = 5\]
28State the numerator and denominator is the following fraction: \[\frac{a}{b}\]Numerator = a
Denominator = b
29How do we multiply fractions? $How do we multiply fractions?$
30How do we divide fractions? $How do we divide fractions?$
31How do we add or subtract fractions?1. Convert the denominator to the same number in both fractions
2. Simply add or subtract the numerator and put over the denominator
32How do we convert decimals, percentages and fractions into one another? $How do we convert decimals, percentages and fractions into one another?$
33What are the four main inequality signs?
34How do we solve inequalities?
35How do we graph inequalities?
36What are the EIGHT exponent rules?