Algebra-II Quarterly Review - Term 1 & 2 - 2023

Chp 2 Quadratics

100

What is the conjugate of the following complex number?

4-5i

4+5i

200

What is the vertex of the of the following quadratic equation: f(x) = 2(x-5)²+3

V = (5, 3) 

300

Solve: 2x²+3x-20 = 0 

(hint: Factor or quadratic formula)

x = 5/2 and -4

400

Factor and find the zeros 

3x²+10x-8

(3x-2)(x+4) 

x = 2/3 and -4

Chp 3 Polynomials

100

Given the following roots, what are the additional roots?

-2, -3+4i, sqrt5

-3-4i, -sqrt5

200

What are the zeros of this polynomial? (approximate) 

x = -2.5, 1 and 7 

300

Use synthetic division and determine is (x+2) a factor of  2x³+2x²−x+6?

Yes it is,  remainder = 0

400

Divide 4x⁴-6x³+2x²-5x+7 by 2x²+1

2x^2-3x +(-2x+7)/(2x^2+1)

 

500

DOUBLE JEOPARDY

Determine the zeros of the following polynomial

x^3+9x^2-x-9

(x+1)(x-1)(x+9)

x=+-1, -9

Chp 5 Roots & Radicals

100

Solve for x: (3x+10)^1/2 - 5 = 2

What is 13

200

Simplify the following two expressions 

x³y²z 7throot(x²z) 

xy⁵z⁴ 4throot(x²y³)

300

Identify the domain and range for the following function :  

y = -sqrt(x-3) + 5

Domain:

x >=3

Range: 

y <=5

400

Solve the given radical equation

3+sqrt(2x+3) =8

x = 11