Absolute Value Functions and Translations — Unit test

Question 1

Combine these radicals.

Revolt · Accepted Answer

Answer image: https://r14.core.learn.edgenuity.com//media.edgenuity.com/evresources/a31a54ba02ed9566a606b36685dc890c.png

Question 2

Nathan has a rectangular plot of grass in his backyard that has dimensions of meters in width and meters in length. What is the total area of the plot of grass? Recall that the area of a rectangle is the width multiplied by the length.

Revolt · Accepted Answer

square meters

Question 3

At a pumpkin patch, if Armando guesses the weight of his pumpkin within 0.3 pounds, he gets to take the pumpkin home for free. If his pumpkin weighs 4.9 pounds, which two equations can be used to find the minimum and maximum weights he can guess in order to get his pumpkin for free?

Revolt · Accepted Answer

x – 4.9 = 0.3 and x – 4.9 = –0.3

Question 4

The solution to an inequality is . Which of the endpoints will make the original inequality true?

Question 5

Which expression is equivalent to ? Assume x 0.

Revolt · Accepted Answer

StartFraction 2 StartRoot 2 EndRoot Over x cubed EndFraction

Question 6

Which statements are true when verifying the solution set of as or ? Check all that apply.

Revolt · Accepted Answer

Substituting 50 for x into the original inequality will create a false statement.; Substituting 100 for x into the original inequality will create a true statement.; Substituting –36 for x into the original inequality will create a false statement.; Substituting –50 for x into the original inequality will create a true statement.

Question 7

What is the solution, if any, to the inequality ?

Revolt · Accepted Answer

2 < n < 6

Question 8

The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?

Revolt · Accepted Answer

(–∞, –1)

Absolute Value Functions and Translations — Unit test Answers

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