Course Name: Precalculus: Analytic Geometry and
Algebra
Student: Aguistin Spaan
Course ID:
MTHH043059
ID: G87557040
Submittal:
51
Progress Test 1
Progress Test 1 (Evaluation 51) covers the course materials that were assigned in Units 1 and 2. Although the progress
test is similar in style to the unit evaluations, the progress test is a closed-book, proctored test. You may not have
access to notes or any of the course materials while you are taking the test. You may use your graphing
calculator on this test.
____ 1.
List the elements of the following set. D = {2x | 0 < x < 6, x is an integer}
a.
b.
c.
d.
{ 2, 4, 6, 8, 10, 12 }
{ 0, 2, 4, 6, 8, 10 }
{ 2, 4, 6, 8, 10 }
{ 0, 2, 4, 6, 8, 10, 12 }
____ 2.
; The answer is
a.
b.
c.
d.
____ 3.
Express
in decimal notation.
a.
b.
c.
d.
____ 4.
.54
.45
| 2x – 1 | ≤ 9. The solution set is
a.
b.
c.
d.
{x|–4≤x≤5}
{x|–5≤x≤4}
{ x | x ≤ –5 or x ≥ 4 }
{ x | x ≤ –4 or x ≥ 5 }
____ 5.
____ 6.
; The LCD is
a.
b.
(x + 1) (x – 6)
c.
(x + 1) (x – 6)2
d.
(x – 6) (x + 1)2
(x – 6)2 (x + 1)2
The current, I , in amperes, that flows through a coil of wire is found by dividing 110 by the resistance of the
wire, R, in ohms. Using the function for this, find the current through a coil of wire with a resistance of 80
ohms.
a.
b.
c.
d.
____ 7.
; The conjugate to multiply by is
a.
b.
c.
d.
____ 8.
; The numerator of the second step is
a.
b.
c.
d.
____ 9.
(2x – 3)(x + 1)x(x – 4)
(2x – 3)(x + 1)(x + 2)(x – 2)
(2x + 3)(x – 1)x(x – 4)
(2x + 3)(x – 1)(x – 2)(x + 2)
Express
a.
b.
c.
d.
as the ratio of two integers.
____ 10.
; The answer is
a.
b.
c.
d.
____ 11. The function F(x) = (x – 1)2 + 2 is decreasing for
a.
b.
c.
d.
no x.
x > 1.
x < 1.
all x.
____ 12. Given: A = { 1, 2, 3 } , B = { 1, 3, 5 } , C = { 3, 4 } . Find the following: A ∪ C =
a.
b.
c.
d.
{ 1, 2, 3, 4 }
{ 1, 3 }
{ 1, 2, 3, 4, 5 }
{ 2, 5 }
____ 13. Given: h(x) = x2 – 5x + 7. Find h(–3) .
a.
b.
c.
d.
1
13
–17
31
____ 14. |x + 1| < 3. The solution set is
a.
b.
c.
d.
{ x | x < – 2 or x > 4 }
{x|–4 0.
____ 33. Find the domain of F(x) = x3 – 2.
a.
b.
c.
d.
{x|x≥2}
{ all real numbers }
{x|x≥0}
{x|x≤2}
(x).
____ 34.
; The answer is
a.
b.
c.
d.
____ 35. | 4x – 3 | = 11. The other answer is
a.
b.
c.
d.
–4
–2
2
4
____ 36. The function f(x) = | x | + 5 is
a.
b.
c.
d.
not symmetric
symmetric with respect to the origin
symmetric with respect to the x-axis
symmetric with respect to the y-axis
____ 37. Find the domain of F(x) = |x + 1|.
a.
b.
c.
d.
{ x | x ≥ −1 }
{ all real numbers}
{x|x≤1}
{x|x≥0}
____ 38. Given: A = { 1, 2, 3 } , B = { 1, 3, 5 } , C = { 3, 4 } . List all of the proper subsets of B.
a.
b.
c.
d.
{1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}
{1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}
{1}, {3}, {5}, {1, 3}, {1, 5}, {3, 5}, { }, {1, 3, 5}
{1}, {3}, {5}, {1, 3}, {1, 5}, {3, 5}, { }
____ 39. The graph of h(x) = 2| x – 4 | is
a.
b.
c.
d.
____ 40.
; The denominator of the second step is
a.
b.
c.
d.
x(x + 5)2(x – 2)
x(x + 5)(x – 5)(x – 2)
x(x + 5)(x – 5)(x + 2)
(x + 1)(x + 5)(x – 5)(x + 2)
____ 41. 7 – 3(2x – 4 ) = 4(x + 3) – 9 ; The anwer is
a.
b.
c.
d.
8
____ 42. Find the distance between points (1, 5) and (–3, 7).
a.
b.
c.
d.
____ 43.
; The answer is
a.
b.
c.
d.
____ 44.
x (x + 2)
x (x – 2)
f(x) = 4x – 5 and g(x) = x + 6. Find
.
a.
b.
c.
d.
____ 45. The function g(x) = – | x | + 1 is
a.
b.
c.
neither even nor odd
odd
even
____ 46. f(x) = 4x – 5 and g(x) = x + 6. Find f + g.
a.
b.
c.
d.
5x – 11
5x + 1
5x + 11
5x – 1
____ 47. The function g(x) = 2x is
a.
b.
c.
d.
symmetric with respect to the y-axis
symmetric with respect to the x-axis
not symmetric
symmetric with respect to the origin
____ 48. f(x) = 4x – 5 and g(x) = x + 6. Find f −1 (inverse of f):
a.
b.
4x + 5
c.
d.
−4x − 5
____ 49. Given: A = { 1, 2, 3 } , B = { 1, 3, 5 } , C = { 3, 4 } . Find the following: A ∩ C =
a.
b.
c.
d.
{ 1, 2, 3, 4, 5 }
{3}
{ 1, 4, 5 }
{ 1, 3, 4, 5 }
____ 50. The first step in finding the distance between points (1, 1) and (–3, 2) is:
a.
b.
c.
d.
Carefully review your answers on this progress test and make any corrections you feel are necessary. When
you are satisfied that you have answered the questions to the best of your ability, transfer your answers to the
online test submission page in the presence of your proctor.
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