Algebra 2 — Unit 3 Day #9
Homework — Rational Equations Review 2
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The speed of a freight train is 16 mph slower than a passenger train. The freight train travels 420 miles
in the same amount of time it takes a passenger train to travel 500 miles. Find the speed of each train.
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2. An experienced accountant can prepare a tax return in 8 hours. A novice accountant can do the job
in 32 hours. How long will it take them working together?
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3. Nicole can paint a room in 8 hours. If John helps, the job takes 6 hours. How long would it take
John to paint the room alone?
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Algebra 2 — Unit 3 Day #9
Homework — Rational Equations Review 2
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Simplify each expression. Be sure to state any restrictions on the variable.
2X
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12
3x2 — 20x — 7
3x -11x -a/
n
X2 - 9
= („erref)(,,x4-5)>--+-1, 01±-2)
(3x-c)Cx---t1)(Y,4-5)(x-3)
X-1
x-3
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9
x —4
6x2 + 9x + 3
3x2 + 2x — 8
2x - 3x — 2
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Algebra 2 — Unit 3 Day #9
Homework— Rational Equations Review 2
4x2 + x — 6
X2 + 3x + 2
3x ($1(t
x+ 1
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x2 — 6x + 5
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3x 2 — 17x + 10
x2 — 2x — 15
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6x2 — x — 1
x2 + 4x — 32
3x2 + 25x + 8 2x 2 + 7x — 4
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Algebra 2 — Unit 3 Day #9
Homework — Rational Equations Review 2
Name
2
1(x-4)
17. 'r-el 3
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18. Simplify the following expressions. All exponents should be positive. No Calculator!!
a. (2x 4y 3 ) 3 * ( 3x - 52 4 )2
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b. (2x 4 y-3 ) 3 *( 3x
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