Solve the problem.
67)
Solve S =1
2r2+ (r +3)h for r.
67)
A)
r =–h ±h2+6h + 2S
B)
r =–h ±h2–6h + 2S
C)
r =–h ±h2–6h – 2S
D)
r =h ±h2–6h + 2S
Decide whether the equation defines y as a function of x.
68)
y =3x + 3
68)
A)
function
B)
not a function
Solve the equation. Express radicals in simplest form.
69)
4
9w2–4
3w = – 1
69)
A)
3
2
B)
–3
2
C)
3 + 2 2
2, 3 – 2 2
2
D)
70)
3x2+ 6x = – 2
70)
A)
–3+3
6, –3–3
6
B)
–3+15
3, –3–15
3
C)
–3+3
3, –3–3
3
D)
–6+3
3, –6–3
3
18
Provide an appropriate response.
71)
If a parabola opens downward, the highest point on the graph is called the ? of the parabola.
71)
A)
top
B)
middle point
C)
axis
D)
vertex
Solve the problem.
72)
Given f(x) =6x2+ 5x + 1, find f(6).
72)
A)
222
B)
246
C)
247
D)
67
Decide whether the equation defines y as a function of x.
73)
y = – x
73)
A)
function
B)
not a function
Graph the equation and give the coordinates of the vertex.
74)
y =(x – 4)2
74)
A)
(–4, 0)
B)
(0, 4)
19
C)
(0, –4)
D)
(4, 0)
Solve the equation by completing the square.
75)
11m2+ 10m = 0
75)
A)
–10
11 , 10
11
B)
10
11 , 0
C)
{0}
D)
–10
11 , 0
D
Solve the equation. Express radicals in simplest form.
76)
x2+ 2 =102
76)
A)
{–10, 10}
B)
{10}
C)
{51}
D)
{–9, 9}
A
77)
1
2x2+1
4x –1
2= 0
77)
A)
B)
–1 +17
4, –1 –17
4
C)
{–1}
D)
–5
4, 3
4
B
D
Solve the problem.
78)
After t seconds the height s of an object propelled upward with an initial velocity of 3200 feet per
second is given by s = 3200t – 16t2. How long after the object is propelled upward until it first
reaches an altitude of 81,000 feet? (Round your answer to 2 decimal places.)
78)
A)
29.73 seconds
B)
0.40 seconds
C)
–22.73 seconds
D)
59.47 seconds
Solve the equation. Express radicals in simplest form.
79)
1
3x + 9 2=125
79)
A)
{27 + 15 5, 27 – 15 5}
B)
–9+ 5 5
3 , –9– 5 5
3
C)
{–27 + 15 5, –27 – 15 5}
D)
{15 5– 27 , 15 5+ 27}
Solve the problem.
80)
The length of a table is 9 inches more than its width. If the area of the table is 2950 square inches,
what is its length?
80)
A)
59 in.
B)
50 in.
C)
41 in.
D)
100 in.
Decide whether the equation defines y as a function of x.
81)
y2= (x – 1)(x + 6)
81)
A)
function
B)
not a function
21
Solve the problem.
82)
The cross section of a large telescope having a diameter of 600 feet and a maximum depth of 69 feet
is depicted below.
150
(–300, 69) (300, 69)
75
What is the equation of this parabola?
82)
A)
Not enough information
B)
y =23
30000 x2
C)
y =23
15000 x2
D)
y =23
100x2
Decide whether the equation defines y as a function of x.
83)
y =6
83)
A)
function
B)
not a function
Solve the equation. Express radicals in simplest form.
84)
(3z – 1)2=4
9
84)
A)
5
9, 1
9
B)
2
3, –2
3
C)
{3, –1}
D)
2
9, –2
9
Decide whether the statement is true or false. If it is false, tell why.
85)
The equation (x – 4)2– 14 = 0 has two irrational solutions.
85)
A)
True
B)
False; the equation has two rational solutions.
C)
False; the equation has exactly one real number solution.
Solve the problem.
86)
This chart shows the fees for an 18 hole round of golf for each of the last 5 years at a local
municipal golf course. Assume that this chart defines a function with the name of f. Find f(1997).
Year Fee
1995 $22
1996 $24
1997 $26
1998 $26
1999 $27
86)
A)
$24
B)
$22
C)
$26
D)
$27
Solve the equation. Express radicals in simplest form.
87)
x2=49
87)
A)
{24.5}
B)
{–7, 7}
C)
{7}
D)
{–8, 8}
Determine whether the relation is a function. Give the domain and range.
88)
{(1, –7), (–4, 0), (–7, 8), (2, –7)}
88)
A)
not a function; domain: {–7, 0, 8}; range: {–7, –4, 1, 2}
B)
function; domain: {–7, –4, 1, 2}; range: {–7, 0, 8}
89)
{(3, –3), (–3, 0), (11, 7), (5, 11), (7, –4)}
89)
A)
function; domain: {–3, 3, 5, 7, 11}; range: {–3, –4, 0, 7, 11}
B)
not a function; domain: {–3, 5, 11}; range: {–3, –4, 0, 7, 11}
Complete the trinomial so it is a perfect square.
90)
x2+ 8x +?
90)
A)
8
B)
64
C)
4
D)
16
23
Solve the problem.
91)
This chart shows the fees for an 18 hole round of golf for each of the last 5 years at a local
municipal golf course. Assume that this chart defines a function with the name of f. State the
domain of f.
Year Fee
1995 $22
1996 $24
1997 $25
1998 $25
1999 $30
91)
A)
{22, 24, 25, 30}
B)
{1995, 1996, 1997, 1998, 1999}
C)
{(22, 1995), (24, 1996), (25, 1997), (25, 1998),(30, 1999)}
D)
{(1995, 22), (1996, 24), (1997, 25), (1998, 25),(1999, 30)}
Write the equation in the standard form ax2+
bx +
c = 0. Then identify the values of a, b, and c. Do not actually solve the
equation.
92)
6y2+ 9 = 0
92)
A)
a = 0, b =6, c =9
B)
a = 2, b = 0, c = – 9
C)
a =6, b = 0, c =9
D)
a =6, b =9, c = 0
C
Graph the equation and give the coordinates of the vertex.
93)
y =x2– 2x – 7
93)
24
B
A)
(–1, –8)
B)
(1, –8)
C)
(–1, –6)
D)
(1, 6)
Solve the problem.
94)
This chart shows the fees for an 18 hole round of golf for each of the last 5 years at a local municipal
golf course. Assume that this chart defines a function with the name of f. Find the value of x when
f(x) = $23.
Year Fee
1995 $22
1996 $23
1997 $25
1998 $25
1999 $27
94)
A)
1997
B)
1999
C)
1998
D)
1996
Solve the equation. Express radicals in simplest form.
95)
(r + 3)2=13
95)
A)
{–3+13, –3–13}
B)
{3 +13, 3–13}
C)
{10}
D)
{13, 13}
Determine whether the relation is a function. Give the domain and range.
96)
{(1, 5), (–9, 2), (8, –2), (4, –5), (–9, –7)}
96)
A)
function; domain: {–9, 1, 4, 8, –8}; range: {–7, –5, –2, 2, 5}
B)
not a function; domain: {–9, 1, 4, 8}; range: {–7, –5, –2, 2, 5}
B
97)
{(–2, –7), (–6, –2), (7, 6), (2, 0)}
97)
A)
function; domain: {–6, –2, 2, 7}; range: {–7, –2, 0, 6}
B)
not a function; domain: {–7, –2, 0, 6}; range: {–6, –2, 2, 7}
A
Solve the problem.
98)
The surface area S of a sphere with radius r is given by the formula S =4r2. If a sphere has surface
area 256 square inches, what is its radius?
98)
A)
16 in.
B)
64 in.
C)
8 in.
D)
8 in.
D
A
Determine whether the graphed relation is a function.
99)
99)
A)
function
B)
not a Function
Solve the problem.
100)
A rock falls from a tower that is 448 feet high. As it is falling, its height is given by the formula
h =448 – 16t2. How many seconds will it take for the rock to hit the ground (h=0)?
100)
A)
12,544 sec
B)
20.8 sec
C)
5.3 sec
D)
21.2 sec
101)
A ball is thrown downward from a window in a tall building. Its position at time t in seconds is
s = 16t2+ 32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 97 feet?
101)
A)
1.7 sec
B)
1.5 sec
C)
2.9 sec
D)
2.5 sec
Decide whether the statement is true or false. If it is false, tell why.
102)
If k is a negative integer, then x2= k will have two irrational solutions.
102)
A)
True
B)
False; the equation will have no real number solutions.
C)
False; the equation will have two rational solutions.
Solve the problem.
103)
A rug is to fit in a room so that a border of even width is left on all four sides. If the room is 14 feet
by 18 feet and the area of the rug is 77 square feet, how wide will the border be?
103)
A)
6 ft
B)
4.5 ft
C)
5.5 ft
D)
3.5 ft
Decide whether the statement is true or false. If it is false, tell why.
104)
If k = 0, then x2= k will have exactly one real solution.
104)
A)
True
B)
False; the equation will have two real solutions.
C)
False; the equation will have no real solution.
Decide whether the equation defines y as a function of x.
105)
y =x2– 5
105)
A)
function
B)
not a function
106)
y =8x2+ 3x + 9
106)
A)
function
B)
not a function
Solve the problem.
107)
A rock falls from a tower that is 53.9 m high. As it is falling, its height is given by the formula
h =53.9 – 4.9t2. How many seconds will it take for the rock to hit the ground (h=0)? Round to the
nearest tenth, if necessary.
107)
A)
7.3 sec
B)
592.9 sec
C)
7 sec
D)
3.3 sec
Complete the trinomial so it is a perfect square.
108)
x2+?+100
108)
A)
5x
B)
10x
C)
50x
D)
20x
Solve the problem.
109)
Given f(x) = – (x – 4)2, find f(–8).
109)
A)
–24
B)
144
C)
–16
D)
–144
Determine whether the relation is a function. Give the domain and range.
110)
{(1, 11), (7, –5), (6, 1), (–3, 11), (10, –5)}
110)
A)
function; domain: {–3, 1, 6, 7, 10}; range: {–5, 1, 11}
B)
not a function; domain: {–5, 1, 11}; range: {–3, 1, 6, 7, 10}
Determine whether the graphed relation is a function.
111)
111)
A)
function
B)
not a Function
Complete the trinomial so it is a perfect square.
112)
x2– 18x +?
112)
A)
324
B)
81
C)
–81
D)
9
Solve the problem.
113)
Given f(x) =x2+ 2x + 1, find f(2).
113)
A)
9
B)
–1
C)
1
D)
7
Solve the equation by completing the square.
114)
2x2– 4x – 6 = 0
114)
A)
1
3, 0
B)
1
3, –1
C)
1
3, 1
D)
3, –1
Answer Key
Testname: C17
Answer Key
Testname: C17
Answer Key
Testname: C17