Math Lab HW

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Please show all work for full credit and box final solutions. Leave all answers in exact form

Math 025 – Tasy Name: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Lab VI – Rationals Please show all work for full credit and box final solutions. Leave all answers in exact form – do not round unless specified. 1. (2 pts) Find the value(s) of x that will make 4x undefined. x −9 2 2. (2 pts each) Simplify to lowest terms: a. x 2 − 5x 25x x −1 2 b. x − 3x + 2 2 3. (3 pts each) Multiply or divide then simplify to lowest terms: a. 2x + 5 ⋅ x −1 x + 4x − 5 4x + 10 2 b. x 5 x − 81 2 ⋅ 2x − 18 x 3 2x − 5x − 3 2 c. x + x − 20 2 ÷ x−3 x−4 Math 025 – Tasy 4. In the early years of microcomputers, school districts could not afford to buy a computer for every student. As the price of computers decreased, more and more school districts have been able to attain this goal. The formula S = 125 where x is the number of years since 1983, models the number of 1 + 0.7( x − 1983) students per computer on average in the United States. a. (4 pts) Use the formula to fill out the table below. Use the area below as scrap if you need it. Round to the nearest whole student. x 1983 1987 1995 2000 2013 S b. (1 pts) What do you notice about the values in the table? Write your explanation as a complete sentence.

Tutor Answer

Katrina S
School: Duke University

Attached are the solutions. Please let me know if you have any questions about them or if there is anything else I can help with.

Lab VI Rationals
1. Set the denominator equal to zero and solve for x. Those will be the values that make a rational
function undefined.
2
x −9=0
x 2=9
x=±√ 9
x=±3
The function is undefined when x = 3 or x = -3
2. To simplify factor numerator and denominator completely. Then remove terms that appear in
both numerator and denominator.
a.
2

x −5x
25x
x ( x−5)
25x
x−5
25
b.
2

x −1
2
x −3x+ 2
( x−1)( x+ 1)
( x−1)(x−2)
x+ 1
x−2
3. Simplify by factoring. Remember that dividing by a fraction is the same as multiplying by the
reciprocal. Remove the common factors that appear in both numerator and denominator.
a.

2x+ 5
x−1

x + 4x−5 4x...

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