Math Q4 Project

Trigonometry

100

What formula does opp/hyp represent

Sine

200

What consists in a tangent equation

opp/adj

300

How to find a cosine angle

cos^-1(adj/hyp)

400

How do you find the opp in a tangent equation

tan(y) x adj

500

cos45?

1/√2

Quadratic Formula

100

Find the y intercept

2x² + 7x - 12

12

200

Find the x intercept 

y= x² -6x +9

(x-3) (x-3) = 3

300

Find the x intercept

y= (x-3)² +4

No x intercept.

400

Find quadratic function with vertex (-4, 19)and y-intercept 3

-(x+4)² + 19

500

Use the quadratic formula to solve for x

x+2/x-1 = 3x / x+1

 x= (3± √13) / 2

Functions

100

If f(x)= -5x + 3 , Find f(4)

f(x)= -5x + 3

f(4)= -5(4) + 3 

x= -17

200

If f(x) = 4 - 3x - x²

Find f(-3)

f(x) = 4 - 3x - x²

f(-3) = 4 - 3(-3) - (-3)²

x= 4

300

If f(x)= 3x+2 and g(x)=x²+4 

Find g(f(x)) in simplest form

(3x+2)²+4 =

x= 9x² + 12x + 8

400

If f(x) = 3x - 4 and g(x) = 2-x

Find g(g(x))

g(g(x)) = 2 - (2-x)

x = x

500

True or false 

if f(x+2) = 4 - 3x - x² 

Then the answer is

-x³ - 7x - 6

False

The correct answer is

-x² - 7x - 6

Logarithms

100

Write the following exponential statement as a logarithmic statement

5³= 125

log₅125 = 3

200

Suppose  log₂7 =m  and   log₂3 =n. 

Write, in terms of m and n

log₂21

log₂⁡7 + log₂3

= log₂21

= m + n

300

Write the following logarithmic statement as an exponential statement

y = log₃x

3^y= x

400

Solve for x

2^x+2 = 1/4 

2^-2 =  1/4

x+2= -2

x= -2 - 2

x= -4

500

Write as a single logarithm

log₃⁡8 + log₃⁡7- log₃4

log₃⁡8 × log₃7  ÷log₃4

= log₃56 ÷ log₃4

= log₃3⁡14

Mental Math

100

12+-7

12-7 = 5

200

72 - -6 x -5

72 - -6 x -5 

72 - 30 = 42

300

182740392² x 4853³ x 293 x 0

182740392² x 4853³ x 293 x 20 x 0 = 0

400

32²+52+-2/2

32²+52+-2/2 = 537

500

If a train leaves a station at 10 p.m., travels at 30 miles per hour and covers 120 miles, what would the time be?

120 ÷ 30 = 4 hours

= 2am