Quadratic equations Questions and Answers

x 0 x a Find the limit If it does not exist express your answer as either or o b Compute lim arcsin x 1 x 1 lim x 5 5 x X x 1 Page 2 of 2

B 5 2024 Kuta Software LLC All rights reserved Simplify Single Radicals Simplify 1500 A 5 4 C 10 3 81x A 2 3x C 2x 3x 5 54m4 A 3m 2m C 3 3m 24uv4 7 V A 2u 3uv C 3uv 2 9 32x y4 A 2 3x y C 2y 2x B 2 5 D 2 B 3 3x D 2 3x B 3 2m D 2m 3m B 2v 3uv D 2 2uv B 3 2x y D 3y 3xy 2 2 96 4 6 8 A 3 7 C 2 2 4 27a A 3 3a C 3 2a 6 81n A 3n 2n C 3n 3 8 64a b A 2a 3ab4 C 2ab 3b B 2 7 2 V 2 6 D 100 V 24x y A 3xy 2x y C 3 2x y B 2 2a D 2 3a B 2n 3 D 3 3n B 2a 2a b D 2b 2a B 2x 3y D 2x 3x y

Name two organs that are made of all four tissues

3 Use the graph shown to answer the following questions a List out the definite solutions to the equation b What is the equation for the function whose graph is shown c What are the roots of the function 3 1 5 10 0 5 2 1 0 1 2 3 2 0 0 5 1 0 1 5 20 25 0 4

Solve each inequality and graph its solution 1 3 5n 2n 8 7 6 5 3 p 4p 10 N N 2 6x 2 6x 14 6 4 182 5k 4k D

9 167 6 7 2 7 1 2 11 8x 2x 16 5x 7x 1 2 10 5 6 3r 7 127 11 2 4 24 5 6 78 12 1 6x 6 11 7x 321 01 2

5 92 2m 2 3 7 6 4 6n 7 2122 17 10 6 3 6 4x 6 111 0 8 138 2 6 6b 7

21 6 1 7k 7 1 6k 2 23 3 1 2x 3 6x 22 2 2 2x 4 x 5 24 43 24 2 5 6n 6 8 2n

Solve for z log x log z 3 5

Suppose Albers Elementary School has 44 teachers and Bothel Elementary School has 60 teachers If the total number of teachers at Albers and Bothel combined is 83 how many teachers teach at both schools

Suppose Set A contains 25 elements and Set B contains 70 elements If the total number elements in either Set A or Set B is 83 how many elements do Sets A and B have in common

5 7 9 A b C 26 5 64x A 8 x C 6x 7 49 5 A k C 2 9 81K 1 243k A C k atives 65a681837bcbef5a0710a57a B 102465 D 24016 2 B 3125x 5 D B 2 D 10000k B k D 729k 8 13 6 2 A 216x C 343x6 6 25m A 4m C 1 125m 8 9 2 A n C 27n 1010 25 2 A v 5v B x 2 D x B 125m D 7m B n D 125m D B 243 5 1 8y

D 324 B 10246 D 240162 B 3125x D B A D 100004 2 A 8 4 36 9 A 216x 6 6 25m 25m A 4m 8 0 A C 27m B D x B x D x B 125m D 7m D 125m High wine

5 A 64 C 26 9 5 64x A 8 x C 6x 7 7 49 A k C k 3 9 81k A C k 243k B 10246 D 24016 2 B 3125x 5 D S B k D 10000k B k D 729k 8 A 216x C 343x6 6 6 25m A 4m C 125m 8 9n A n C 27n 10 10 25 A 14 C B D B D

1 3 5 7 Simplify 1 a A a C a 4 3 34369 A 64 C 26 5 64x8 z A 8x C 6x 7 k A k C k 2 II B a D 32a5 B 10246 D 24016 2 B 3125x 5 D x 15 B k D 10000k 4 6 8

Using the quadratic formula to solve x2 x 5 0 what are the values of x O 1 19 2 O 5 21 2 0 12 21 O 1 19

If the discriminant of a quadratic equation is equal to 8 which statement describes the roots O There are two real roots There is one complex root O There are two complex roots O There is one real root

Solve using the quadratic formula Standard form 1st 2x 2x 24 Ox 5 and x 5 2 Ox 4 and x O X 3 7 and t 3 5 5 3 4 and x 5 5 3 4

Which equation shows the quadratic formula used correctly to solve 5x2 3x 4 0 for x Omc001 2 jpg O O X X 3 3 4 5 4 2 5 3 3 4 5 4 2 5 2 3 3 4 5 4 2 5

Solve using the quadratic formula 2m 4m 5 0 O O m m m m 1 47 6 1 i II 6 and and m 2 i 6 and m 1 iv 1 47 and m 6 tive and m 2 1 1 47 6 1 i II 6 1 1 47 6 2 1 6 2

Ex 2 Find the roots of f x x 5x 8x 48

Ex 1 18x 32

Ex 2 8x 32x 24

Ex 3 2a 22a 24

Ex 2 Find the roots of f x x 5x 8x 48

What do you notice about what happens on the graph at the x intercepts

Ex 4 2x x 21

ct with at least four digits past the decimal 2 28 x 2 x 3 3 768 76 177 9537 Question 7 0 1 42 pts Solve the following system of equations for x Express your answer as a decimal number with at least four digits past the decimal x 8 5 y 2 9

If the vectors V V2 V3 V4 V5 Span R4 then they are linearly independent Select one O True O False

a 4x 4x 1

b 6y y 5

d 49 n

Ex 3 Facto a y 36

b y 2x 9x 11

a y x 6x 5

Ex Solve 3x2 10 26

2 3x 2x x 1 x 2x 3

Ex Solve x 1

Simplify 4

Ex Simplify 48

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

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