Algebra Questions

inany Numbers written with i i

Simplify 49

2 3x 2x x 1 x 2x 3

7 The zeros of polynomial f x are 2 1 and 3 Write f x in factored form and standard form

x 9x 18x x 2

5 3x 2 x 4

6 The number of students at East High School and the number of students at Central High School over a 10 year period can be modeled by the following polynomials East High School 11x 133x 1200 Central High School 7x 95x 1100

x 2x 1 x 5

3 6x x 4x 5 3x 5x 7x 6

2x 3 x 3x 7x 5 x 1

3 Ex 9x 18x x 2

Ex Factor only 3x 12x x 4

Factor by Grouping must have 4 or more terms Factor by pairing 2 terms together and factoring out a GCF Ex Factor x x 3x 3

f 8 3

V

c 360

e

b 72

8

Write the set of points from 3 to 3 but excluding 1 and 3 as a union of interva

Write the set of points from 3 to 3 but excluding 1 and 3 as a union of interva

Pick the graph of the following function f x x 3 x 1 x 2 5 4 3 32 4 4334 3 p 5 4 3 2 1 5 4 3 2 45 1 Na i w O 6 7 in 3 2 the na 75

Pick the graph of the following function f x x 4 x 2 29 3 2 4 3 2 24 224 3 O M 45W to 4 3 2 1 434 1 bat 3 4 a Git 9 fout 5430 2 1 Hy 24 3 4 O 5 4 3 2 1 S 4 3 2 1 1 2 3 4 S O C p

19 T ch 2 1 m 2 M 2 w tay LA What is the least possible degree of the polynomial graphe

a1 0 123 13 A az ay 39 au

03 MC Given f x is true x 7 x 3x 28 f x is positive for all x 7 f x is negative for all x 7 f x is positive for all x 4 which of the following O f x is negative for all x 4

Given f x function 4x 7 8x 8 what is the end behavior of the As x f x 0 5 as x f x 0 5 O As x f x 0 5 as x f x 0 5 O As x f x 0 73 as x f x 0 73 O As x f x 0 73 as x f x 0 73

Given f x true 10 x 7x 30 which of the following is f x is negative for all x 3 f x is negative for all x 3 f x is positive for all x 10 O f x is positive for all x 10

Which equation represents the vertical asymptote of the graph Ox 8 Oy 8 7 Ox 0 6 LO 5 3 13 14 19 12 11 10 9 8 7 6 5 4 3 2 1 2 2 3 345 5 6 0

are root of a number number which multiplied by itself or inal number gives you the

3 Determine the unknown length Round to the nearest hundredth 20 15 m

The price of a jumper is 29 It is reduced by 15 in a sale What is the new price of the jumper Give your answer in pounds

Use the pair of functions to find f g x and g f x Simplify your answers f g x ab ab a sin a 8 sin a 8 f x x 6 g x x a 25 AS

Question Determine the domain on which the following function is decreasing

33 5 May 1 33 0 32 5 32 0 31 5 April 27 28 29 30 a On which days were opening prices higher than the closing prices State your answers in sequential order using the month da b On which days were the closing prices higher than the opening prices State your answers in sequential order using the month c Had the chart used white and black candlesticks which days would be white and which days would be black State your answer sequential order using the month day White Black d On which consecutive days was the closing price of the first day higher than the opening price of the second day State your ans sequential order using the month day

Paul considers investing 8 000 in three different accounts for 6 years Option A 5 simple interest Option B 4 5 interest compounded continuously Option C 4 75 interest compounded yearly After 6 years Option B to the nearest dollar will be worth more than Option A and less than Option C linear quadratic are exponential constant Option A is a function while Options B and C functions While the function gains value the fastest initially over time the functions will alue faster

f x is 4 The roots of the equation f x 0 are 8 5 1 and 2 Which graph could be the graph of f x O 10 8 6 4 10 8 250 200 150 100 50 50 100 150 200 250 250 200 150 100 50 350 100 150 200 250 2 4 6 8 10 2 4 6 8 10 O 10 8 6 4 10 3 4 250 200 150 100 30 100 150 200 250 50 250 200 150 100 50 30 100 150 200 250 2 4 6 B 10 8 10 X

Which graph represents the function f x x O 10 8 6 4 100 80 60 40 20 20 40 60 80 100 100 80H 60 40 20 10 8 6 4 20 2 4 40 60 80 100 2 4 6 6 8 10 8 10 X 14r3 612 84x 36 100 80 60 40 20 10 8 6 4 2 320 40 60 80 100 y 100 80 60 40 20 10 8 6 4 20 40 60 80H 1004 k 2 4 6 4 6 8 8 10 X 10

The degree of the polynomial function f x is 3 The roots of the equation f x 0 are 2 0 and 3 Which graph could be the graph of f x O 10 24 10 8 6 4 2 ON 4 6 8 10 y 10 8 6 2 N 10 8 6 42 6 do d 8 10 2 4 6 8 10 24 6 8 10 X O 10 8 6 4 2 6 8 104 8 6 10 8 6 4 2 10 8 6 4 10 9 4 2 10 6 8 y 2 4 6 8 10 2 46810 Se

Which graph represents the polynomial function f x x 4x 15x 18 P x 45 40 35 30 25 20 15 10 5 A5 194 15 20 25 30 f x 80 75 70 65 60 55 50 45 MO As 30 20 15 10 20 15 10 8 7 6 5 4 3 6 10 16 204 25 A N 35 30 10 10 15 20 25 30 35 40 20 15 45 x 50

Which graph represents the polynomial function g x x 5x 12x 36 O 50 40 30 20 10 0 10 20 30 40 50 50 40 30 20 10 0 10 20 p 40 8 50 O 2 f N 50 40 30 20 10 0 10 20 30 40 00 50 40 50 30 20 10 0 10 20 50

Find mZEOF for Oo E

Complete the steps to solve the inequality 3 72 y 1 a Multiply each side of the inequality by 2 and enter the simplified result Type your answer here b Isolate the variable term on the right side and enter the simplified result Type your answer here c Solve the inequality Write your response here Type your answer here IV y Write your response here Type your answer here

How many complex roots does the equation 0 424 23 5x 3 have O 3 04 5

9 4 3 2 A 4 2 3 3 2 C 4 B 10 5 5 12 4 2 7 D 10 10 2 3 4 3 3 5 4 6 3 A 23 B 8 2 15 C 2 D 4 5 2 10

How many complex roots does the polynomial equation have 3x4 7x 17 0 02 O 3 04

What is the completely factored form of f x x 4x 7x 6 o f x x 2 x 1 i 2 x 1 i 2 O f x x 2 x 3 i 10 x 3 i 10 o f x x 2 x 3 i 10 x 3 i 10 O f x x 2 z 1 i 2 x 1 i 2

M 5 7 5 A 3 2 2 4 1 3 C 7 A 2 3 5 5 9 2 2 2 15 30 3 75 13 B M C D 2 2 3 15 4 6 2 3 5 15 B D 10 8 5 11 3 2 4 M 6 8 6 3 3 4 16 A C 8 A 2 3 2 C 1 4 5 10 3 3 16 6 3 2 6 3 2 B 24 8 3 3 D 18 9 5 B 2 D zoom in 6 2 2 7 2 3 2 3

11 11 6b A 5b C 7b 2 Radical and Exponential Form 2 024 Kuta Software LLC Write each expression in exponential form 13 A b C 5b Write each expression in radical form 7 12 5b 4 Simplify 3 3 B 6b D b 3 13 64x All rights reserved B 106 D 2b ZOC

The graph below shows how the average beak size depth in a population of ground finch shifted during particularly wet and dry years 1977 1980 and 1982 were all drought years 1984 was a wet year During drought years all the seeds were large and tough to open This meant that birds exercised their beaks more making the beaks stronger beak depth mm 10 5 10 0 9 5 9 0 0 1977 1980 1982 1984