Abeka 10th Grade Algebra 2 Test 03

x^2 − 2x ≥ 3

(-∞,-1]or[3,∞)

2x^3 − 3x^2 − 8x − 3

(x+1)(2x+1)(x-3)

x^3 + 27

(x+3)(x²-3x+9)

x^4 − y^4

(x²+y²)(x+y)(x-y)

(6 − 5i) − (4 + 2i)

2-7i

(3 + 7i) (5 − 2i)

29+29i

(2a + 15ab) − (7a + 6b − 10ab)

-5a+25ab-6b

3+2i/5-i

1/2+i/2

A contractor is installing carpet in a new house. The rectangular living room has an area of 96 square feet, and the length is twelve feet less than three times the width of the room. What are the dimensions of the room?

8ft.×12ft.

Which of the following values is a zero for the polynomial x^3 + 4x^2 − 17x − 60?

A. 4

Which of the following algebraic properties was applied to the expression a + (b + c) = (a + b) + c?

A. associative

Which of the following correctly represents the solution for the polynomial ?

B. (-∞, -5) and [3, ∞)

Which of the following simplifies to -1?

B. i^2

What is the k value for the polynomial x^3 − 7x^2 + 17x − 15 if a factor is x − 3?

B. k = 3

Given the equation what is the value that u would represent when substituted into the equation?

C. u=x^1/4

Which of the following correctly sets up the synthetic division for x^4 + 2x^3 − 8x + 11 divided by x − 5?

D.

Which of the following correctly simplifies?

D.

Which of the following is the correct sum for 3√8 -2√32?

D. -2√2

The number 260 is separated into two parts so that the first part is eight more than three times the second part. What are the two numbers?

First part: 197 Second part: 63

|2x + 3| ≤ 3

[-3,0]

(x-3)^4/3 =625

x=-122,128

5/x+3=8/x-3

x=-13

√11x+5 -√11x =1

x=4/11

x^4 − 13x^2 + 36 = 0

x=±3,±2

4x^2 − 9 = 0

x=±3/2

(x − 4)^2

x²-8x+16