Math Final Evaluation

Trigonometry

100

True or False:

The inside angles on a full right triangle add up to 190 degrees

What is

False (180)

200

Solve the following:

Tan²²

What is 

0.40

300

Find the value of θ

Sinθ=0.98

What is 

78.52

400

From a point 10m from the base of a tower, Mark mesures the angle of elevation to the top of the tower from the top of his head which is 2m in the air. The angle of elevation is 48. degrees. Whats the hight of the tower.

What is 

11.11m tall 

500

When do we use Sine Law?

What is

For non-right angle triangles that have 2 known angles and 1 corresponding side OR We have 2 side lengths and 1 corresponding angle

Quadratics

100

The vertex of:

y = (x-2)²-5

What is 

(2,-5)

200

Solve for the X values (Decimal)

X²-3x-2=4

What is 

X₁=-1.372

X₂=4.372

300

State the translations in the following:

y=(x+3)²-8

What are:

Vertically translated 8 units down

Horizontally translated 3 units left 

400

Solve using the quadratic formula

7x²+22x+10

what is

-36.28/14 (-2.59) or 7.72/14 (0.55)

500

The max hight of the rocket launched upwards (m)

h=-4t²+250

What is

3906.25 m

Linear Systems

100

What is the formula for the following statement

The sum of Joe's age and triple Mark's age is 64

What is

64=J+3m

200

The answer of the following equation using elimination: 

3x+2y=19

5x-2y=5

What is

X=3

Y=5

300

The answer of the following using substitution:

x+4y=6

2x-3y=1

What is

Y=1

X=2

400

Simplify then solve 

4(x+4)-3(y-4)=70

5(x-7)-(y+5)=-11

what is 

(-4.09,-49.45)

500

A boat travels 33km downstream in 3 hours and made the returning trip in 5 hours find the speed of the boat in still water.

What is 

8.8 km/h

Factoring

100

Find the GCF:

0=5x+20xy+15y

What is 

5

200

Factor fully

7a(3b-2)+4-2b

What is

21ab-14a-2b+4

300

True or False

The expanded form of (x+2)(x+5)(x+4) is x³+11x²+38x+40

What is 

True

400

Convert into factored form

x²-7x+12

what is

(x-4)(x-3)

500

Create an equation for the following scenario

A Farmer wants to find the area of his field using an equation, The field is 2y+2 m long and 2y-20 meters wide. The field has a power line pole that covers a square with equal side lengths of y+5. Whats a formula the farmer can use to find the area

What is 

(2y+2)(2y-20) -(y+5)²=A

Formula

100

The formula for standard form 

What is 

ax²+bx+c=0

200

The formula for factored form

What is

Y=a(x-r)(x-s)

300

The formula for vertex form

What is

Y=a(x-h)²+k

400

The quadratic formula

What is 

x = −b ± √(b² − 4ac) /2a

500

The cosine law formula

C²= a²+b²-2ab cosC