Semester 2 Final Review

Factors of Polynomials

100

Simplify: 

(2r-s)(3r+2s) 

6r²+1rs-2s²

200

Find the GCF of 15r²s², 25rs², and 45r²s

5rs

300

Find the LCM of 15r²s², 25rs², and 45r²s

225r²s²

400

Factor completely: 12x²y²+xy-6

(4xy+3)(3rs-2)

500

Solve: x²+12x=-36

x=6

Rational Expressions

100

Simplify: 

(5x^2-20)/(3x^2+5x-2)

(5(x-2))/(3x-1)

200

Solve
(2𝑥+1)² −5(2𝑥+1)+6=0

x= 1/2, 1

300

Simplify 

(5s^2t^2)^2/(4s^4t^3)^2

25/(8s^4t^2)

400

Simplify: 

(y-2/(y+1))/(1-2/(y+1)

y+2

500

(4/5ax²)² x (-10x³a²)²

64a⁶x¹⁰

Roots and Radicals

100

√-27 -√12

3i-2√3

200

(2+3i)(1-i)

5+i

300

Simplify: 

3i√2 xx √-12

-6√6

400

(6√7 +14)(√7-√2)

42-14√7-6√14-14√2

500

Solve:

(3+4i)/(3-4i)

(-7+24i)/25

Quadratic Expressions

100

What is the vertex of y+3=-(x-2)²

(2,-3)

200

What is the vertex of y=2(x+3)²+2

(-3,2)

300

Does the parabola open up or down for g(x)=4x-x², and why? 

Down, y-4=-(x-2)²

400

Find the real root value of k for 4x²+kx+5=0

-8.9>k>8.9

500

Solve 3x²-18x-5=4

x=13.67, -7.67

Trigonometry

100

Express 45°14’42” in decimal degrees.  

45.24

200

n ▵ ABC, ∠A=60°, b=10, and ∠B=90°. What is c?

5

300

What is tan 𝛳 if cos 𝛳 is 8/17?  

15/8

400

In ▵ ABC, ∠B=90°, c=12, and ∠C=55°. What is b?

14.6

500

What is the angle of elevation of the sun when a building 8.4 m tall casts a shadow 13.7 m long?

31.5