Algebra 2 Final Review

Adding/Subtracting Polynomials

100

Simplify: 

(5x - 7y) + ( 4x - y)

What is "9x - 8y" ?

200

Simplify the expression

    5x² + 3x(x + 4) + 2(8 - x)

What is "8x² + 10x + 16"  ?

300

Simplify: 

( 9k³ + 5k - 11) - ( -2k³ - 9k + 8)

What is "11k³ + 14k - 19" ?

400

Simplify: 4(3a+b)+3(a+3b)-4(3a+3b)

What is "3a+b" ?

Factoring

100

Factor the polynomial

      x²+10x+16

What is (x+8)(x+2) ?

200

Factor a² - 100

What is (a + 10)(a - 10) ?

300

Factor 

9x^2-81

What is (3x-9)(3x+9)  ?

400

A rocket launched with an initial velocity of 2000 ft/sec. Using the equation H = 2000t - 25t², where H is the height of the rocket in feet and t is the time in seconds after the launch, when will the rocket return to the ground?

a) 0 seconds after launch

b) 80 seconds after launch

c) 2000 seconds after launch

d) The rocket will not return to the ground

What is "b, 80 seconds" ?

Random1

100

 Enter in the minimum value for the function f(x)=2x² - 12x + 3.

What is - 15 ?

200

A state conservation agency reports that there are currently 6000 rabbits in a forest. The agency also reports that the rabbit population is increasing by 7% each year. Write a function to model this situation. 

**Hint use A=P(1-r)^t or A=P(1+r)^t

What is P(n)=6,000(1.07)ⁿ

300

What value should be substituted for n in the quadratic formula to solve 

x² - 5x + 3 = 0?

    

x=(5+-sqrtn)/2

What is "13" ?

400

What is Mr. Novak's first name?

What is "Hunter"?

Solutions/Roots/Zeros/X-Intercepts

100

The quadratic expression x² - 2x - 15 can be factored into         (x+3)(x-5). What are the two ordered pairs that represent this functions x-intercepts?

What is (-3, 0) and (5, 0)  ?

200

What are the solutions to the equation x² + 4x = 12?

(write your answers as x = ____ )

What is "x = -6 or x = 2"  ?

300

What is the trinomial that has roots at x = 2 and x = -4?

What is " x² + 2x - 8 "  ?

400

 Find the x-intercept of 

x² + 10x + 16 = y

(write answer as two ordered pairs)

What is (-8 , 0) and (-2 , 0)  ?

Random2

100

A negative number multiplied by a negative number give us a ____________ number.

What is a positive number?

200

Find the Product: 

(6x + 3)(x - 2)

What is "6x² - 9x - 6"  ?

300

Simplify 

(12a^4bc^2)/(4a^2b^3c)

What is 

(3a^2c)/b^2

400

A school district currently has 12,000 students. Based on declining enrollment figures, the number of students in the school district is expected to decline by 14% each year. Write a function that represents the number of students, S, in the school district after n years.

**Hint use A=P(1-r)^t or A=P(1+r)^t

What is S(n)=12,000(0.86)ⁿ