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MTH209 Week 4 Homework Quiz Solution Key

Quadratic Equations & Functions (Chapters 9 & 10 of Dugo 2nd Ed)
Section 9.1 Exercises Pages 557-560 Problems 12, 26, 40, 48, 68, 80
Section 9.2 Exercises Pages 567-570 Problems 16, 32, 106
Section 9.3 Exercises Pages 575-576 Problems 6, 36, 84, 90
Section 9.4 Exercises Pages 583-585 Problems 12, 30 60, 76
Section 9.5 Exercises Pages 593-596 Problems 16, 30
Section 10.2 Exercises Pages 636-638 Problems 8, 20, 34

 

Page 558/12   
Find the root.

−sqrt(25)

Page 558/26   
Find the root. All variables represent nonnegative real numbers.

sqrt(m6)

Page 558/40
Use the product rule for radicals to simplify the expression. All variables represent nonnegative real numbers. Demonstrate use of product rule.

sqrt ( 36n 2)

Page 558/48
Use the product rule for radicals to simplify the expression. All variables represent nonnegative real numbers. Demonstrate use of product rule.

rt3 ( 5b 9)

Page 558/68
Use the product rule for radicals to simplify the expression. All variables represent nonnegative real numbers. Demonstrate use of product rule.

sqrt ( 9w3y3)

 

Page 558/80
Simplify the radical. See Example 6 on page 555. All variables represent positive real numbers.

Sqrt( 9/144)

sqrt 9 / sqrt 144
3/12
1/4

Page 567/16
Evaluate.

16 ½
sqrt 16
4

Page 567/32
Evaluate.

1000 2/3
(3sqrt
1000)^2
(1000^1/3)^2
10^2
100

Page 568/106
Simplify. Write your answer with positive exponents. Assume all variables represent positive real numbers.

( - 27 x9)1/3
(-27x^9)^1/3
-3x^3


Page 575/6
Simplify the differences. All variables represent positive numbers. See Example 1, page 571)

Sqrt 5 − 3 sqrt 5
sqrt 5 – 3 sqrt 5
-2 sqrt 5

 

Page 575/36
Simplify. All variables represent positive numbers. See Examples 3 and 4, page 572.

(3 sqrt2 ) (−4 sqrt 10)
3 * -4 * sqrt 2 * sqrt 10
-12 sqrt 20
-12 * 10 sqrt 2
-12 sqrt 5 * sqrt 4
-12 * 2 sqrt 5
-24 sqrt 5

 

Page 576/84.  
Simplify

sqrt(2t5) * sqrt(10 t4)

Page 576/90
Simplify.
(3 – 2 sqrt(7)) (3 + 2 sqrt(7))

 

Page 583/12   
Write the radical expression in simplified radical form. See Example 2, page 578.

Sqrt 2
Sqrt 18

Page 584/30   
Divide and simplify. See Examples 4 and 5, pages 580-581.

sqrt 14 ÷ sqrt 7

 

Page 584/60   
Simplify. See Example 8, page 582.

(3 sqrt 3)4

Page 585/76
Simplify

sqrt(6)  *  sqrt(14)
sqrt(7)     sqrt(3)

 

Page 594/16
Find all real solutions. See Examples 2 and 3, pages 587 - 588

a2 − 40 = 0

Page 594/30
Solve and check for extraneous roots. See Example 4, page 589

Sqrt (a − 1) − 5 = 1

 

Page 636/8
Solve by using the quadratic equation. See Example 1, page 631

x2 − 7x +12 = 0

Page 636/20
Solve by using the quadratic equation. See Example 3, page 632.

p2 + 6p +4 = 0

 

Page 636/34
Find b2 − 4ac and the number of real solutions to the equation. See Example 5, page 634.
−x2 + 3x − 4 = 0

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