1 Insert either < or > in the area between the pair of numbers to make a true statement: -76 ____ -97.

Select one:

a.<

b.>

2 Factor out the Greatest Common Factor (GCF) from the polynomial:

30x⁷y⁹- 12x⁴y⁵- 12x²y²

Select one:

a.6(5x⁷y⁹- 2x⁴y⁵- 2x²y²)

b.6x²y²(5x⁵y⁷- 2x²y³- 2)

c.6x²(5x⁵y⁹- 2x²y⁵- 2y²)

d.cannot be factored

3 Solve the equation:1/8 x = 8

Select one:

a.16

b.64

c.1

d.15

4 Find out the Greatest Common Factor from the polynomial: 8x⁵- 13.

Select one:

a.8 (x⁵- 13/8)

b.cannot be factored

c.8 (x⁵- 104)

d.8 (x⁵- 13)

5 Calculate the slope of the line passing through the points (9, 0) and (-2, 2). If the slope is undefined, so state. Then indicate whether the line rises, falls, is horizontal, or is vertical.

Select one:

a.m = -11/2; falls

b.m = 11/2; rises

c.m = 2/11; rises

d.m = -2/11; falls

6 What is the difference in elevation between a plane flying 17,500 feet above sea level and a submarine traveling 560 feet below sea level?

Select one:

a.18,060 feet

b.16,960 feet

c.16,940 feet

d.18,000 feet

7 Factor the polynomial using the negative of the Greatest Common Factor:

-18a³b²- 27ab

Select one:

a.9ab (-2a²b - 3)

b.-9ab (2a²b - 3)

c.-9ab (2a²b + 3)

d.-9a (2a²b²+ 3b)

8 Factor completely: x³- 216.

Select one:

a.(x - 6) (x²+ 36)

b.(x + 216) (x²- 1)

c.(x - 6) (x²+ 6x + 36)

d.(x + 6) (x²- 6x + 36)

9 Factor completely: 9x²- 12x + 4.

Select one:

a.(3x - 2) (3x + 2)

b.(3x - 2)²

c.(9x + 1) (x + 4)

d.(3x + 2)²

10 Solve: 21 is 150% of what?

Select one:

a.3150

b.14

c.31.5

d.0.14

11 Identify 6x + 15x⁹+ 6 as a monomial, binomial or trinomial. Give the degree of the polynomial.

Select one:

a.Trinomial, degree 9

b.Trinomial, degree 11

c.Binomial, degree 10

d.Trinomial, degree 10

12 Factor completely: 2x²- 128.

Select one:

a.prime

b.2 (x + 8)²

c.2(x - 8)²

d.2 (x + 8) (x - 8)

13 Is the ordered pair (-3, -4) a solution of the equation 2x + 4y = -22?

Select one:

a.Yes

b.I have no idea

c.No

d.Maybe

14 Factor completely: x⁴- 16.

Select one:

a.(x²+ 4) (x + 2) (x - 2)

b.(x²+ 4) (x²- 4)

c.(x²- 4) (x²- 4)

d.Prime

15 (11x + 12) (11x - 12)

Select one:

a.121x²+ 264x - 144

b.121x²- 144

c.121x²- 264x - 144

d.x²- 144

16 Factor completely: x³- x²+ 5x - 5.

Select one:

a.(x²+ 5) (x - 1)

b.(x - 1) (x + 1) (x + 5)

c.(x²- 5) (x - 1)

d.(x²+ 5) (5x - 1)

17Solve this equation: (x - 8) (x + 3) = 0

Select one:

a.{8, 3}

b.{-8, 8, -3, 3}

c.{-8, 3}

d.{-3, 8}

18 8x³- 5x²+ 6x - 1) - (3x³+ 3x²- 9x + 3)

Select one:

a.5x³- 8x²+ 15x - 4

b.11x³- 2x²- 3x + 2

c.5x³- 2x²- 3x + 2

d.11x³- 2x²- 3x - 4

19 Factor completely: 3x⁶- 27x⁴.

Select one:

a.3x (x - 3) (x + 3)

b.3x⁴(x + 3)²

c.3x⁴(x - 3) (x + 3)

d.3x⁴(x - 3)²

20 factor completely: 49x²+ 9. If it cannot be factored, state that the polynomial is prime.

Select one:

a.(7x + 3)²

b.Prime

c.(7x - 3)²

d.(7x + 3) (7x - 3)

21 Factor completely: 16x²+ 24xy + 9y².

Select one:

a.(4x + 3y) (4x - 3y)

b.(4x + 3y)²

c.(16x + y) (x + 9y)

d.(4x - 3y)²

22Determine whether the ordered pair (4, 6) is a solution of the system:

2x + y = 14

3x + 2y = 24

Select one:

a.Solution

b.Not a Solution

23 Solve the system by the addition method. If there is no solution or an infinite number of solutions, so state.

6x - 6y = -3

-12x + 12y = 6

Select one:

a.[{18, -18}]

b.Infinitely Many Solutions

c.No Solution

d.[{-18, 18}]

24 In one state, speeding fines are determined by the formula F = 6(x - 60) + 75,where F is the cost, in dollars, of the fine if a person is caught driving x miles per hour. If the fine comes to $129, how fast was the person driving?

Select one:

a.69 mph

b.71 mph

c.79 mph

d.67 mph

25 The president of a certain university makes three times as much money as one of the department heads. If the total of their salaries is $260,000, find each worker's salary.

Select one:

a.President's salary = $65,000; department head's salary = $195,000

b.President's salary = $130,000; department head's salary = $65,000

c.President's salary = $195,000; department head's salary = $65,000

d.President's salary = $19,500; department head's salary = $6,500

26 his is a self-evaluation question. Be sincere and honest in your answer.

How did you perform in this course? What did you learn about yourself in relation to the course?

27 This is a self-reflection question. Be sincere and honest in your answer.

Reflecting on your study habits, in what ways could you have improved your performance in this course?