Test #1 Notes

• Bring a calculator that has a square root function

• No Cell Phones

• No Notes

• Closed Book

• Pythagorean Theorem & Quadratic Formula will be provided

200

300 300

400

500

300

100

300

400

500

100

200

500

100

SimplifyFOIL

&Factor

RationalExpressions

Solve for x Applications

100100

324x ySimplify.

6 364x ySolution:

13 3

27

x

Simplify.

3

xSolution:

1

2( 2) 1

xx x

x Simplify.

23 2 1x x Solution:

(2 3)( 7)x x FOIL.

22 17 21x x Solution:

3( )( 6 2)

2x x FOIL.

Solution: 26 7 3x x

24 7 2x x Factor.

( 2)(4 1)x x Solution:

( 2 )( )2

aax b bx

FOIL and Simplify.

22 22

2

aabx b x ab

Solution:

2

1 3

x

x x

Subtract.

2 2

( 1)( 3)

x x

x x

Solution:

2

2

( 1) 2 3

x

x x x

Add.

2 3 2

( 1)( 3)

x x

x x

Solution:

1 23 2

6x x Solve for x.

4

3x Solution:

3 13

2 2x

x Solve for x.

13,

2x x Solution:

2 4 3x Solve for x.

65

4Solution:

12 3 5

4x Solve for x.

10, 6x x Solution:

The plane is traveling at 500km/hr directly into a wind that is constant at 80km/hr.

A person is walking toward the front of an airplane at 1.5 km/hr relative to the plane.

What is the rate of the person with respect to the ground?

Solution: 500 + 1.5 - 80 = 421.5 km/hr

Turtle and Hare begin a race at the same time. Turtle strolls at 0.1 m/s for 10 hrs. Hare runs at 0.8 m/s for 0.5 hr, rests for 9 hrs, and finishes with a 0.5 hr run at .6 m/s.

Who is the winner?

Turtle and Rabbit begin a race at the same time. Turtle strolls at 0.1 m/s for 10 hrs. Rabbit runs at 0.8 m/s for 0.5 hr, rests for 9 hrs, and finishes with a 0.5 hr run at 0.6 m/s.

DT = rate * time = 0.1 * 10(3600) = 3600 m

DR = rate * time = 0.8 * 1(1800) + 0.6 * 1(1800) = 2520 m

Turtle is the winner.

Test #1 Study Aids

• Test #1 Review wiki (solutions on web)

• Supplemental Problems (solutions on web)

• Jeopardy

• Notes & Quizzes

Find an expression for c in terms of a.

The only right angles in the drawing are the two that are shown.

Solution:

22 100a