Answers 2627 ALGEBRA II AFunction Operations

Rational Equations Answers

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What are the solutions to the equation

x = –7 and x = 1

x = –6 and x = –1

x = –1 and x = 7

x = 1 and x = 6

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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

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

What are the solutions to the equation ?

w = –6 and w = –2

w = 0, w = 2, and w = 6

w = 0 and w =

w = 2 and w = 6

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

y2 – 1

y + 1

y2 + y + 2

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?