Part I: Planes, Trains, and Automobiles

Name February 6, 2008

Alg1 Q3 Test 1 Review All Periods: Due Monday, 2/11/08—Test Monday, 2/11/08

Part I: Planes, Trains, and Automobiles

1) Two trains leave the station at the same time. One is traveling east at a rate of 87 mph. The other is traveling west at a rate of 98 mph. How long to they have to travel until they are miles apart? t= 4.15 4h 9m

2)Two planes leave the airport at the 4:55 pm. One is traveling east at a speed of 368 mph. The other is traveling east at 433 mph. At what time will they be 347.75 miles apart? t = 5.35 5h 21m 10:16pm

3) Two trains leave the station at the 5:18 am. One is traveling east at a rate of 97 mph. The other is traveling east at a rate of 115 mph. At what time will they be 87.3 miles apart? t= 4.85 4h 51m 10:09 am

4)Two planes leave the airport at the 11:40 pm. One is traveling east at a speed of 378 mph. The other is traveling west at 465 mph. At what time will they be 2,276.1 miles apart? t= 2.7 2h 42m 2:22 am

Part II: Systems Algebraically

Use either Substitution or Elimination... your choice. You must do checks in both original equations!

1) x = 4- 3y(-11,5)2) 8x + 2 = y(.25,4)

7x + 10y = -27 6x – 5y = -17

3) 12x – 7y =48(1.5,-4)4) 9x – 4y = -88(-8,-4)

4x + 3y = -6 2x + 5y = 4

5) 4x – 5 = y(4,11) 6) 7x + 4y = -11 (-5,6)

7x + 5y = 83 5x + 2y = - 13

7) 6x – y = -16(-4.5,-11)8) 8x – 5y = -72(-4,8)

4x + 7y = -95 5x + 44 = 3x

9) 12x = 20- 8y(-3,7)10) 5y = 8x + 97

5x – 6y = -57 10x + 7y = 51(-4, 13)

11) Benny and Bart went into Mickey D’s for some Snack Wraps and sodas. Benny bought 5 Snack Wraps and 3 sodas and his bill was $12.82. Bart bought 4 Snack Wraps and 5 sodas for $14.91. Find the price of each item. Snack Wrap = $1.49, Soda = $1.79

12) Gallo and his brother went to Blockbuster to get some DVD’s Gallo bought 11 Dora DVDs and 2 Heavy Metal DVDs and paid $268. His brother bought 3 Dora DVDs and 15 Heavy Metal DVDs and paid $261. Find out the total cost of 4 Dora and 3 Heavy Metal DVDs. Dora = $22 Heavy Metal = $13 Total Cost = $133.

Part III: Multiplication and Division of Monomials:

1) (5x4y-3z6)32) (4x8y10z-5)(6x-5y3z2)33) 21x7y6z8 _

125x12z1824y19z 14x5y-6z8

y9 x7

3x2y12

4) (4x15y8z5 )2 5) (7x7y4z3)2(4x-5y3z)36) (8x12y6z3)2 _
(2x6y4z-2)5 (2x4y2z)6

z203,136y17z91

2y4 x

7) 5x(4x2 – 8x + 3) + 4x(5x2 + 10x – 7)8) 8x2(7x2 – 3x – 12) – 6x(4x2 – 16x – 3)

40x3 -13x56x4 -48x3 + 18x

END OF TEST REVIEW

HW Due: Friday, 2/11/08

1) (x + 3)(x + 6)2) (x – 3)(x + 6)3) (x + 3)(x – 6)

4) (x – 3)(x – 6)5) (x – 7)(x – 7)6) (x – 7)2

7) (x – 4)(x + 7)8) (3x + 7)(2x + 5)9) (2x – 5)(2x + 5)

10) (2x - 5)(2x - 5)11) (2x – 5)212) (7x2 – 6)(5x2 + 4)

13) (8x3 + 5)(11x2 – 7)14) (x – y)(2x + 3y)15) (5x – 7y)2