Answers PBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Rational Equations

Rational Equations Answers

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What causes a solution to a rational equation to be an extraneous solution?

When there is more than one solution, one of the solutions is extraneous.

If a solution results in zero when substituted into the denominator of the equation, the solution is extraneous.

If a solution results in a negative number when substituted into the denominator of the equation, the solution is extraneous.

When a solution is a fraction, the solution is extraneous.

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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.

How many extraneous solutions does the equation below have?

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?

Shandra’s claim is correct.

Shandra’s estimate is too high because she should have found the differences instead of the mean.

Shandra’s estimate is too high because it will take them about 24 minutes.

Shandra’s estimate is too low because it will take them about 100 minutes.

Which of the following represents the solution of ?

x = one-fifth

x = five-ninths

all real numbers

no solution

Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes 2 hours longer than Juan, who picks up litter for 2 miles. If Juan spent x hours picking up litter, the following equation models the situation.How long did Yumi spend picking up litter?

1 hour 20 minutes

3 hours 20 minutes

4 hours

6 hours

Janet wants to solve the equation . What should she multiply both sides of the equation by?

y2 – 1

y + 1

y2 + y + 2

What is the solution to the equation ?

m = 3

m = 6

all real numbers

no solution

Which solution to the equation is extraneous?

g = –4

g = –4 and g = 16

neither g = –4 nor g = 16

g = 16

Kent multiplies both sides of the equation below by an expression.Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now?

k squared minus 8 k minus 12 = 0

k squared + 8 k + 12 = 0

k squared minus 8 + 12 = 0

k squared minus 8 k + 12 = 0

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