Algebra
Trigonometry
Miscellaneous maths
Functions
Polynomials
100

Solve:


2a+3=6

a=3/2 or 1.5

100

What is the period of:

y=tan(x)

180˚ or 𝛑

100

What is the absolute error of 0.00001m

±0.000005m

100

Is this a Function:


=(x+2)/(x^2-2)

Yes

100

Is this a polynomial?

p(x)=x2-1/x

No.

200

Expand and simplify:

(x-3)2-(b+1)2+(-3b-x)2

2(x2-3x+4+4x2-b+3bx)

200

Sketch:

Y=sin(x-1)

Graph with correct xintercepts, and y int of -0.841

200

List the first 10 numbers in fibonacci sequence

0,1,1,2,3,5,8,13,21,34

200

Domain and range of:

Y=Sqrt(-x^2 +225)

-15<=x<=15

0<=y<=15

200

Sketch:

Y=(x2-x)/x

Correct sketch of y=x-1

300

Solve 3x^2-30x=0, by completing the square

X=0,10

300

prove:

Sin(x)=cos(90-x)

correct proof

300

Find the line perpendicular to:

Y=2(X-6)


And passes 0,6

KEEP IN SAME FORM AS QUESTION

Y=-1/2 (x-12)

300

Restrict for the inverse:

X^2-5y+10


X>=3.75

300

Find the remainder when:

9x^3+7x^2-x+16 is divided by (x^2-3)

319

400

Sketch the inequality:

4x^2-12x+9>0

Correct values shaded.

400

In right triangle ABC, where angle A measures 90 degrees, side AB measures 15 and side AC measures 36, what is the length of side BC?

39 units

400

Name Eulers identity

E^i*θ= Cos(θ)+i*sin(θ)

OR

E^i*π +1 =0

400

At Joe's pizzeria a pizza costs $5 with the first topping, and then an additional 75 cents for each additional topping.

If x represents the number of toppings on a pizza, what function represents the cost of a pizza with at least one topping?

f(x)=0.75(x−1)+5

400

Solve

x4−2x2+1

X=1,-1
500

Solve:

|(|2x-5|)-3|=8

X=-8,3

500

Solve:

Sin(x)2-2cos(x)2=2sin(x)cos(x)

135deg,310deg

500
name 1 thing special about the Fibonacci sequence

the average rate of increase between numbers is 1.618. (also known as the golden ratio)

500

Sketch:

Y=1/(x-1)

And its inverse, stating all intercepts, and points of intersections

Points of intersection: 1.618,1.618 AND -0.618,-0.618


500

completely factorise

X^3-9x^2

X(x-3)(x+3)

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