The questions have been designed to test for deep understanding of math concepts. Detailed explanations and solutions of these questions are also provided.
Question 1 of 502.0 PointsSimplify the complex rational expres.docxmakdul
Question 1 of 50
2.0 Points
Simplify the complex rational expression.
A.
B.
C.
D.
Question 2 of 50
2.0 Points
Solve the quadratic equation by the square root property. (2x + 5) 2 = 49
A. {-6, 1}
B. {0, 1}
C. {-27, 27}
D. {1, 6}
Question 3 of 50
2.0 Points
Solve the linear equation.
A.
B.
C.
D.
Question 4 of 50
2.0 Points
Write the number in scientific notation.
0.000779
A.
7.79 x 10 -4
B.
7.79 x 10 4
C.
7.79 x 10 -3
D.
7.79 x 10 -5
Question 5 of 50
2.0 Points
Graph the equation in the rectangular coordinate system.
3y = 15
A.
B.
C.
D.
Question 6 of 50
2.0 Points
Along with incomes, people's charitable contributions have steadily increased over the past few years. The table below shows the average deduction for charitable contributions reported on individual income tax returns for the period 1993 to 1998. Find the average annual increase between 1995 and 1997.
A. $270 per year
B. $280 per year
C. $335 per year
D. $540 per year
Question 7 of 50
2.0 Points
Find the domain of the function.
A.
(-∞, 6) (6, ∞)
B.
C.
D.
(-∞, 6]
Question 8 of 50
2.0 Points
Graph the line whose equation is given.
A.
B.
C.
D.
Question 9 of 50
2.0 Points
Find the zeros of the polynomial function.
f(x) = x 3 + 5x 2 – 4x – 20
A. x = –5, x = 4
B. x = –2, x = 2
C. x = –5, x = –2, x = 2
D. x = 5, x = –2, x = 2
Question 10 of 50
2.0 Points
You have 332 feet of fencing to enclose a rectangular region. What is the maximum area?
A. 6889 square feet
B. 6885 square feet
C. 110,224 square feet
D. 27,556 square feet
Question 11 of 50
2.0 Points
Find the vertical asymptotes, if any, of the graph of the rational function.
A. x = 4 and x = 4
B. x = 4
C. x = 0 and x = 4
D. No vertical asymptote
Question 12 of 50
2.0 Points
Find the y-intercept for the graph of the quadratic function.
y + 4 = (x + 2) 2
A. (0, 4)
B. (0, 0)
C. (4, 0)
D. (0, -4)
Question 13 of 50
2.0 Points
Use Newton's Law of Cooling, T = C + (T0 – C).e kt, to solve the problem.
A cup of coffee with temperature 102°F is placed in a freezer with temperature 0°F. After 8 minutes, the temperature of the coffee is 52.5°F. What will its temperature be 13 minutes after it is placed in the freezer? Round your answer to the nearest degree.
A. 32°F
B. 29°F
C. 35°F
D. 27°F
Question 14 of 50
2.0 Points
Use the graph of f(x) = log x to obtain the graph of g(x) = log x + 5.
A.
B.
C.
D.
Question 15 of 50
2.0 Points
Evaluate or simplify the expression without using a calculator.
log 1000
A.
3
B.
30
C.
D.
Question 16 of 50
2.0 Points
A fossilized leaf contains 15% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14. Solve the problem.
A. 35,828
B. 15,299
C. 1311
D. 21,839
Question 17 of 50
2.0 Points
Find the exact value of the expression.
tan -1 0
A.
0
B.
C.
D.
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Free mathematics tutorials
1. Questions 1:
If Logx (1 / 8) = - 3 / 2, then x is equal
to
A. - 4
B. 4
C. 1 / 4
D. 10
2. Question 2:
20 % of 2 is equal to
A. 20
B. 4
C. 0.4
D. 0.04
Questions 3:
If Log 4 (x) = 12, then log 2 (x / 4) is equal to
A. 11
B. 48
C. -12
D. 22
3. Questions 4:
The population of a country increased by an
average of 2% per year from 2000 to 2003. If the
population of this country was 2 000 000 on
December 31, 2003, then the population of this
country on January 1, 2000, to the nearest thousand
would have been
A. 1 846 000
B. 1 852 000
C. 1 000 000
D. 1 500 000
4. Questions 5:
f is a quadratic function whose graph is a
parabola opening upward and has a vertex on
the x-axis. The graph of the new function g
defined by g(x) = 2 - f(x - 5) has a range defined
by the interval
A. [ -5 , + infinity)
B. [ 2 , + infinity)
C. ( - infinity , 2]
D. ( - infinity , 0]
5. Questions 6:
f is a function such that f(x) < 0. The graph of
the new function g defined by g(x) = | f(x) | is
a reflection of the graph of f
A. on the y axis
B. on the x axis
C. on the line y = x
D. on the line y = - x
6. Questions 7:
If the graph of y = f(x) is transformed into the
graph of 2y - 6 = - 4 f(x - 3), point (a , b) on the
graph of y = f(x) becomes point (A , B) on the
graph of 2y - 6 = - 4 f(x - 3) where A and B are
given by
A. A = a - 3, B = b
B. A = a - 3, B = b
C. A = a + 3, B = -2 b
D. A = a + 3, B = -2 b +3
7. Questions 8:
When a parabola represented by the equation y
- 2x 2 = 8 x + 5 is translated 3 units to the left
and 2 units up, the new parabola has its vertex
at
A. (-5 , -1)
B. (-5 , -5)
C. (-1 , -3)
D. (-2 , -3)
8. Questions 9:
The graphs of the two linear equations ax + by
= c and bx - ay = c, where a, b and c are all not
equal to zero,
A. are parallel
B. intersect at one point
C. intersect at two points
D. perpendicular
9. Questions 10:
The graphs of the two equations y = a x 2 + b x
+ c and y = A x 2 + B x + C, such that a and A
have different signs and that the quantities b 2 -
4 a c and B 2 - 4 A C are both negative,
A. intersect at two points
B. intersect at one point
C. do not intersect
D. none of the above
10. Questions 11:
For x greater than or equal to zero and less than
or equal to 2 pi, sin x and cos x are both
decreasing on the intervals
A. (0 , pi/2)
B. (pi/2 , pi)
C. (pi , 3 pi / 2)
D. (3 pi / 2 , 2 pi)
11. Questions 12:
The three solutions of the equation f(x) = 0 are -
2, 0, and 3. Therefore, the three solutions of the
equation f(x - 2) = 0 are
A. - 4, -2, and 1
B. -2, 0 and 3
C. 4, 2, and 5
D. 0, 2 and 5
12. Questions 13:
The three solutions of the equation f(x) = 0 are -
4, 8, and 11. Therefore, the three solutions of
the equation f(2 x) = 0 are
A. - 2, 4, and 11/2
B. - 8, 16 and 22
C. - 4, 8, and 11
D. 2, 19 / 2 and 7 / 2