m3201ch.4notes.notebook june 17, 2014 - weebly · 2019-08-23 · m3201ch.4notes.notebook 31 june...

M3201Ch.4notes.notebook

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Page 222 Question #1

a) Write an equivalent rational expression for each expression below.

b) State the nonpermissible values for each pair of equivalent expressions.

c) Choose one pair of equivalent expressions from part a). Demonstrate that they are equivalent by substituting a permissible value into both expressions.


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Determine the nonpermissible values of the variable in each rational expression below, and write two equivalent rational expressions.


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Identify the rational expressions that are equivalent to . Explain why they are equivalent.


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The resistance of blood within your vascular system can be an important indicator for your risk of having a heart attack or stroke. Poiseuille’s law gives an expression for the resistance of blood, based on the length, L, and the radius, r, of a blood vessel. For a blood vessel that is 2 cm long, Poiseuille’s law states that the

resistance is . Determine any nonpermissible values for this expression, and

explain why they are nonpermissible. Nonpermissible value:

The radius of a blood vessel must be positive

and greater than 0.


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A fish can swim at a speed of v km/h in still water. An expression for the time it takes

the fish to swim 3 km upstream in a river that is moving at 5 km/h is .

Determine any nonpermissible values for the expression, and explain why they are

nonpermissible.


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a) State the nonpermissible value(s) for each rational expression.

b) Are any of these rational expressions equivalent? Explain how you know.


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Write a rational expression that has the given restriction(s) as its nonpermissiblevalue(s).


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a) Determine the nonpermissible values for each rational expression.

b) Write two equivalent rational expressions for each expression in part a).


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Use multiplication to write a rational expression with a nonpermissible value that is

equivalent to . State the nonpermissible value.


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Use division to write a rational expression that is equivalent to . State the nonpermissible value(s).


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State the nonpermissible values for each rational expression below.


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Which of the following rational expressions are simplified? Explain.


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Determine the nonpermissible values for each rational expression, state these values as restrictions, and simplify.


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Simplify.


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Simplify.


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Simplify.


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a) Simplify:

b) Explain why it is important to determine any nonpermissible values of the

variable before simplifying.


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Brad tried to determine the nonpermissible values for an expression and then simplify, as shown below.

I knew that I couldn't divide by zero, so zero is a nonpermissible value of a.

2a can be divided into 4a, and the result is 2.

This rational expression cannot be simplified any further.

a) Identify Brad's error, and correct his solution.

b) Explain why Brad's error may be a common error.

a) Brad only divided one of the terms in the numerator by the denominator.

b) You can factor one part of the numerator without factoring the other, as long as you split the fraction into two parts first. If you do not split the fraction, you will create the same type of error as Brad's.


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Sharon tried to simplify an expression, as shown below.I started by factoring the numerator and the denominator.

I knew that and are opposites. When opposites are divided, the result is .

The numerator and the denominator have no more common factors, so the expression cannot be simplified any further. is a nonpermissible value because you cannot divide by zero.

a) Identify Sharon's error, and correct her solution.

b) Explain why Sharon's error may be a common error.


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a) Determine the concentration of chlorine in the pool at each time.

i) 0 hours ii) 2 hours iii) 6 hours

b) Simplify the expression for the concentration of chlorine.

c) Does the expression above have any inadmissible values in this context?

Explain.

Liquid chloride is added to a swimming pool to sanitize the water. At t hours, the concentration of chlorine in the pool can be expressed as a) i) 0 mg/L ii) 1 mg/L iii) 1.5 mg/L

b)

c) Time cannot be negative so there are

inadmissible values in this context.


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Write a rational expression with a binomial in the denominator, so that the denominator is a monomial when the expression is simplified. State the nonpermissible values.


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Simplify.


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m3201ch.4notes.notebook june 17, 2014 - weebly · 2019-08-23 · m3201ch.4notes.notebook 31 june...

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