Released Items
Student Booklet
Fall 2015
NC Final Exam
D
Math III
SE
EA
EL
R
Public Schools of North Carolina
State Board of Education
Department of Public Instruction
Raleigh, North Carolina 27699-6314
Copyright ã 2015 by the North Carolina Department of Public Instruction. All rights reserved.
, MATH III — RELEASED ITEMS
1 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 512
B 511
C 256
D 81
D
2 Let f(x) = 14x3 + 28x2 – 46x and g(x) = 2x + 7. Which is the solution set to the
equation 1 f(x) = g(x)?
A
12
{–3, 0, 1}
SE
B {–3, –1, 2}
EA
C {–2, 1, 3}
D {1, 5, 11}
EL
3 The equation 2x2 – 5x = –12 is rewritten in the form of 2(x – p)2 + q = 0. What is
the value of q?
R
167
A
16
71
B
8
25
C
8
25
D
16
1 Go to the next page.
, 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?
A 0<x<4
B 0<x<6
D
C 0<x<8
D 0 < x < 12
5 A function is shown below.
SE
EA
− 2 −
x + 2x for x ≤ 3
()
2x
f (x) = 2 1 for −3 < x < 4
3
2x − 5 for x ≥ 4
EL
x −7
What is the value of the expression f(–3) + 2f(–1) – f(4)?
101
R
A
36
32
B
9
C 4
D 22
2 Go to the next page.
Student Booklet
Fall 2015
NC Final Exam
D
Math III
SE
EA
EL
R
Public Schools of North Carolina
State Board of Education
Department of Public Instruction
Raleigh, North Carolina 27699-6314
Copyright ã 2015 by the North Carolina Department of Public Instruction. All rights reserved.
, MATH III — RELEASED ITEMS
1 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 512
B 511
C 256
D 81
D
2 Let f(x) = 14x3 + 28x2 – 46x and g(x) = 2x + 7. Which is the solution set to the
equation 1 f(x) = g(x)?
A
12
{–3, 0, 1}
SE
B {–3, –1, 2}
EA
C {–2, 1, 3}
D {1, 5, 11}
EL
3 The equation 2x2 – 5x = –12 is rewritten in the form of 2(x – p)2 + q = 0. What is
the value of q?
R
167
A
16
71
B
8
25
C
8
25
D
16
1 Go to the next page.
, 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?
A 0<x<4
B 0<x<6
D
C 0<x<8
D 0 < x < 12
5 A function is shown below.
SE
EA
− 2 −
x + 2x for x ≤ 3
()
2x
f (x) = 2 1 for −3 < x < 4
3
2x − 5 for x ≥ 4
EL
x −7
What is the value of the expression f(–3) + 2f(–1) – f(4)?
101
R
A
36
32
B
9
C 4
D 22
2 Go to the next page.
