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}
R
EL
A
EA
S
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?
