MTH 209 WEEK 1 QUIZ
MTH 209 WEEK 4
Name
1. Use the product rule to simplify. (All variables represent non negative real numbers.)
[pic]
= sqrt(4x^4 * 5xy)
= sqrt(4x^4)*sqrt(5xy)
= 2x^2 * sqrt(5xy)
2. Evaluate:
253/2
= sqrt(25)^3
= 5^3
= 125
3. Simplify
[pic]
= 27w / w^-2
= 27w^3
4. Simplify
[pic]
= 3x * sqrt(8x^4)
= 3x * sqrt(4x^4 * 2)
= 6x^3 * sqrt(2)
5. Multiply
[pic]
It’s a difference of squares:
(5sqrt2)^2 – 3^2
= 50 – 9
= 41
6. Add
[pic]
= 11/sqrt(11)
= 11*sqrt(11)/11
= sqrt(11)
7. Solve and check for extraneous solutions
[pic]
Square both sides:
5x+2 = 3x+8
x = 3
Check: sqrt(17) = sqrt(17), yes!
8. Solve by completing the square:
x2 + 10 x – 9 = 0
x^2 + 10x = 9
x^2 + 10x + 25 = 9+25
(x+5)^2 = 34
x+5 = +/- sqrt(34)
x = -5+sqrt(34), -5-sqrt(34)
9. Solve using quadratic formula
3x2 - 6x = 24
3x^2 – 6x – 24= 0
x = (6 +/- sqrt(6^2 -4*3*-24))/6
x = (6 +/- sqrt(324))/6
x = (6 +/- 18)/6
x = 1 +/- 3
x = 4 or -2
10. What are the length and the width of a metal plate which has a length that is 4 cm less than twice its width and which has an area of 96 cm.
A = LW
L = 2W-4
96 = W(2W-4)
96 = 2W^2 – 4W
2W^2 – 4W – 96 = 0
Divide by 2:
W^2 – 2W – 48 = 0
Factor:
(W-8)(W+6) = 0
W = 8 or -6
Can’t be negative.
W = 8 cm
L = 2W-4 = 2*8-4 = 16-4 = 12 cm
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- chapter 1 quiz answers
- word chapter 1 quiz answers
- psychology chapter 1 quiz answers
- chapter 1 quiz economics quizlet
- chapter 1 quiz psychology
- biology chapter 1 quiz answers
- psychology chapter 1 quiz quizlet
- algebra 1 quiz pdf
- phonics spelling grade 5 unit 4 week 1 page 94
- myitlab chapter 1 quiz answers
- week 1 score predictions nfl
- nfl week 1 predictions