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PreCalculus Summer Assignment Test 20-21

Last updated over 5 years ago

25 questions

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Question 1

1.

Question 2

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Question 3

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Question 4

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Question 5

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Question 6

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Question 7

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Question 8

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Question 9

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Question 10

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Question 11

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Question 12

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Question 13

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Question 14

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Solve for "z":

Question 15

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Question 16

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Question 17

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Question 18

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Question 19

19.

Solve:
Show your work.

Question 20

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Question 21

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Question 22

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Question 23

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Question 24

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Question 25

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Select all equivalent forms of:  

Write in simplest form: 

None of these

Use properties of radicals to simplify:  

Find the quotient:  (Be sure to express your answer in standard form)

If the volume of a rectangular prism is represented by:

and the height of the prism is 

which expression represents the area of the base?

A student is completing the problem:

Which of the following is the LOWEST COMMON DENOMINATOR?

Find the sum of:

Simplify:  

Perform the indicated operation.  Be sure to express your answer in simplest form:

Simplify:  

Erica should have subtracted 5 from both sides first.

On the step where Erica added 36 to both sides, she really should have subtracted 36 from both sides. 

Just before Erica completed the square, she should have first divide both sides of the entire equation by 2. 

Erica should have added 6 to both sides before taking the square root of both sides.

Solve by the method of your choice:

even degree, negative leading coefficient

odd degree, negative leading coefficient

odd degree, positive leading coefficient

even degree, positive leading coefficient

Given this function, determine the number and type of roots:

2 real roots

3 real roots

2 real roots and 1 complex root

3 complex roots

Not enough information

You are helping a friend plan a rectangular deck on the back of his house.  He would like the deck to be 4 feet longer than it is wide.  The deck should have an area of 60 square feet.  Which equation can be solved to find the width of the deck?

Given:

which of the following are equivalent?

Given the function:

if (x-3) is a factor, determine the other factors.

Find the slope of the line that passes through (6, -9) and (6, 9) (if possible).  Then determine if the line rises from left to right, falls left to right, is a horizontal line, or a vertical line.

undefined; vertical

undefined; horizontal

0; vertical

0; horizontal

18; rises from left to right

-18; falls from left to right

Write the equation of the line in slope-intercept form:

Which equation represents the standard form of the given function?

Write the equation of a line that is perpendicular to the line given by the equation:  

and passes through the point (6, 8).