Algebra
Expand and simplify the following:
3(x+y) + 4(y+x)
7x+7y
Root(25)
+-5
Name the shape: a quadrilateral with all equal sides and 90 degree angles.
square
DOUBLE POINTS!!
y is proportional to x. Find the function that has a slope of 3 and a y-intercept of 7.
y=3x+7
How many outcomes are there if I flip a coin three times?
8
Expand and simplify the following:
5a+2b-(a+3b)
4a-b
DOUBLE POINTS!!
-root(42) / root(6)
NOTE: / means divide
-root(7)
Fill in the blank: The inscribed angle in a circle is ______ the central angle.
half
Solve for all solutions of x:
x2-3x=0
3, 0
In a circle, if the central angle is 180 degrees, the inscribed angle must be?
90 degrees
DOUBLE POINTS!
Expand and simplify
(4x)2 x (y/-10) / (4xy/15)
NOTE: / means divide
-6x
Simplify root(50)
5root(2)
To find the volume of pointy objects, what formula would you use?
area of base x height x 1/3
Which graph is WIDER?
y=3x2 OR y=0.5x2
y=0.5x2
How do you find the similarity ratio for surface areas of shapes?
Side similarity ratio squared.
e.g. 2:1 side ratio, 22:12 surface area ratio
Factorise: (4a)2-(2b+5)2
(2a+2b+5)(2a-2b-5)
Find the integer and decimal numbers for root(79)
Interger: 8
Decimal: Root(79) - 8
The similarity ratio of two triangles is 3:1. If the larger triangle has a side length of 21, the equivalent side on the smaller triangle must be....
7
y is inversely proportional to x. Find the function that passes through (6, 18)
y=108/x
DOUBLE POINTS:
There are two consecutive numbers. 7 times the larger number plus 1 is equal to the square of the smaller number. Find the two numbers.
8, 9
DOUBLE POINTS!!
Factorise: xy2-x-3y2+3
(y+1)(y-1)(x-3)
Find all natural numbers of n in the following:
Root(53-2n)
You have 2 minutes for this question!
2, 14, 22, 26
In an isosceles triangle that is NOT equilateral, what are the size of each of the angles?
45, 45, 90
y is proportional to the square of x. Find the equation that has a ROC of 4, and the domain of x is -2<x<3.
y=4x2
I have 2 red balls, 4 white balls, 3 blue balls, and 3 purple balls. If I selected 1 ball at random, determine the probability it is NOT a red ball.
P(not red) = 10/12
= 5/6