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Math yearly Exams
Covering Products & Factors, Consumer Arithmetic, Trigonometry, Co-ordinate Gemonetry and Exploring Data
34
Mathematics
9th Grade
09/23/2010

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Cards

Term
What is a binomial?
Definition
An algebraic expression that consists of two terms.
Term
What is a binomial product?
Definition
The product of binomial expressions. Eg, (5y+2)(1-3m) is a binomial product.
Term
What does the distributive law state?
Definition
That
(a+b)(c+d) = a(c+d)+b(c+d)
= ac+ad+bc+bd
Term
What is the rule for expanding perfect squares?
Definition
(a+b)[sq] = a[sq]+2ab+b[sq]
(a-b)[sq] = a[sq]-2ab+b[sq]
Term
How do you find the difference of two squares?
Definition
(a+b)(a-b) = a[sq] - b[sq]
Term
What is the first step in factorising an algebraic expression?
Definition
Determining the highest common factor
Term
What is the first step in factorising an algebraic expression?
Definition
Determining the highest common factor
Term
If an expression has four terms, and the HCF is applicable to all, what is the next step?
Definition
The next step is to group the pairs.
Eg 6(x+3) + x(x+3) = (6+x)(x+3)
Term
What is the rule for factorising the difference of two squares?
Definition
a[sq] - b[sq] = (a+b)(a-b)
Term
What technique do you use for quadratic trinomials?
Definition
FOIL technique
Term
FOIL stands for... ?
Definition
First, Inside, Outside, Last.
Multiply the First symbols for each bracket, multiply the outside for each bracket, multiply the inside, multiply the last.
Term
What does SOH CAH TOA stand for?
Definition
Sine = Opposite/Hypotenuse
Cosine= Adjacent/Hypotenuse
Tangent= Opposite/Adjacent
Term
What is the circumference of a circle?
Definition
C=Pi*diameter
Term
What is the length of an arc?
Definition
Arc Length = angle/360 * (Pi*diametre)
Term
What is the formula to find the area of a rectangle?
Definition
Length * height
Term
What is the formula to find the area of a square?
Definition
2*Length
Term
What is the formula to find the area of a triangle?
Definition
0.5 * base * height
Term
What is the formula to find the area of a parallelogram?
Definition
base * height
Term
What is the formula to find the area of a rhombus or a kite?
Definition
0.5 * horizontal diagonal * vertical diagonal
Term
What is the formula to find the area of a trapezium?
Definition
0.5 * (parallel sides added * height
Term
What is the formula to find the area of a circle?
Definition
Pi * Radius[sq]
Term
What is the formula to find gradient?
Definition
Gradient = rise/run
= y2-y1/x2-x1
Term
In which direction does a negative gradient slope?
Definition
Downwards towards the right
Term
In which direction does a positive gradient slope?
Definition
Upwards towards the right
Term
What is the formula to determine the midpoint of a line?
Definition
(x1+x2/2) (y1+y2/2)
Term
What is the formula to determine the distance of a line?
Definition
The square root of (x2-x1)[sq] + (y2-y1)[sq]
Term
Two identical gradients mean that a line is... ?
Definition
Parallel (m1=m2)
Term
If m2 is the negative reciprocal of m1, the line must be... ?
Definition
Perpendicular
Term
The number before x is the gradient, and what needs to be identical/reciprocal to identify a parallel, perpendicular line. True or false?
Definition
True.
Term
What is the gradient-intercept form of a straight line?
Definition
Y=m(gradient)x + b (y-intercept)
Term
Define "mean" of data...
Definition
The average. eg. 3,2,4 = (2+3+4)/3=3
Term
Define "median"
Definition
The middle score WHEN the data is arranged in order.
Term
Define Mode...
Definition
The most frequent score
Term
Range = ?
Definition
Highest score - lowest score
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