In: Science

Submitted By stephanieroel516

Words 279

Pages 2

Words 279

Pages 2

Fall 2014

NC Final Exam

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Math III

Public Schools of North Carolina

State Board of Education

Department of Public Instruction

Raleigh, North Carolina 27699-6314

Copyright ã 2014 by the North Carolina Department of Public Instruction. All rights reserved.

Student Booklet

Released Items

MATH III — RELEASED ITEMS

A board is made up of 9 squares. A certain number of pennies is placed in each square, following a geometric sequence. The first square has 1 penny, the second has 2 pennies, the third has 4 pennies, etc. When every square is filled, how many pennies will be used in total?

A

B

511

C

256

D

2

512

81

ED

1

Let f(x) = 14x3 + 28x2 – 46x and g(x) = 2x + 7. Which is the solution set to the equation 1 f(x) = g(x)?

B

{ 3, 1, 2}

C

{2, 1, 3}

D

3

{3, 0, 1}

{1, 5, 11}

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12

The equation 2x2 – 5x = 12 is rewritten in the form of 2(x – p)2 + q = 0. What is the value of q?

A

167

16

B

71

8

C

25

8

D

25

16

1

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MATH III — RELEASED ITEMS

4

A box with an open top will be constructed from a rectangular piece of cardboard.

The piece of cardboard is 8 inches wide and 12 inches long.

The box will be constructed by cutting out equal squares of side x at each corner and then folding up the sides.

What is the entire domain for the function V(x) that gives the volume of the box as a function of x?…...