Answers KISD SS-3391B-Algebra II Honors BRational Equations

Rational Equations Answers

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What is the solution for the equation ?

b = –4 and b = 0

b = –4

b = 0 and b = 4

b = 4

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A contractor has two choices for billing a completed job. · $500 flat rate, regardless of the number of hours worked· $20 per hour workedThe graph shows the relationship between pay per hour and number of hours worked for both scenarios. What is the solution to this system of equations, and what does it mean to the contractor?

The solution (0, 20) tells the contractor the minimum amount that can be charged.

The solution (0, 500) tells the contractor the maximum amount that can be charged.

The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

The solution (20, 25) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

What is the solution to the equation ?

m = 3

m = 6

all real numbers

no solution

A student solves the following equation for all possible values of x:His solution is as follows: Step 1: 8(x – 4) = 2(x + 2)Step 2: 4(x – 4) = (x + 2)Step 3: 4x – 16 = x + 2Step 4: 3x = 18Step 5: x = 6He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0.Which best describes the reasonableness of the student’s solution?

His solution for x is correct and his explanation of the extraneous solution is reasonable.

His solution for x is correct, but in order for 6 to be an extraneous solution, both denominators have to result in 0 when 6 is substituted for x.

His solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

His solution for x is incorrect. When solved correctly, there are no extraneous solutions.

Which of the following represents the solution of ?

x = one-fifth

x = five-ninths

all real numbers

no solution

What is the solution of ?

y = –4

y = –2

y = 4

y = 6

Working alone, it would take Shandra 40 minutes to sand a table. To sand the same table, also working alone, it would take Kelly 1 hour. If they work together, the situation can be modeled by the following equation, where t is the time it would take to sand the table working together.Shandra claims it will take them about 50 minutes working together, because 50 is the mean of 40 and 60. Which best describes Shandra’s claim?