WorksheetsMATH 1
Total questions: 50
Worksheet time: 4hrs 10mins
Simplify: 9log9(4) =
A. 3
B. 4
C. 9
D. 1
Simplify: 3log3(-5) =
A. -5
B. 3
C. 9
D. None of these
If f(x) = -2x2 + 8x - 4, which of the following is true?
A. The maximum value of f(x) is - 4
B. The graph of f(x) opens upward.
C. The graph of f(x) has no x-intercept
D. f(x) is not a one to one function.
If f(x) = 5 - 2x, then f-1(- 3) =
A. 8/39
B. -3
C. 3
D. 32
If logx(3) = 1/4, then x =
A. 81
B. 1/81
C. 3
D. 9
If logx(3) = 1/4, then x =
A. 81
B. 1/81
C. 3
D. 9
If f(x) = x - 4, then (fof)(3) =
A. 1
B. -1
C. -5
D. 5
If ln(3x - 2) = 1, then x =
A. 2/3
B. (2+e)/3
C. 3/2
D. e/3
The number of solutions of (x2 + 1)2 + 2(x2 + 1) - 3 = 0 is equal to
A. 1
B. 2
C. 3
D. 4
If the graph of y = (x - 2)2 - 3 is translated 5 units up and 2 units to the right, then the equation of the graph obtained is given by
A. y = x^2 + 2
B. y = (x - 2)^2 + 5
C. y = (x + 2)^2+ 2
D. y = (x - 4)^2 + 2
If f(x) = -ex - 2, then the range of f is given by the interval
A. (-∞ , -2)
B. (-∞ , +∞)
C. (-2; , +∞)
D. (-∞ , +2)
If f(x) = √(x - 1) / (x2 - 9), then the domain of f is given by the interval
A. (1 , +∞)
B. (-3 , +3)
C. [1 , 3)U(3 , +∞)
D. (-3 , 3)U(3 , +∞)
The number of points of intersections of the graphs of y = 2x and y = -x2 + 2 is equal to
A. Zero
B. 1
C. 2
D. 3
If f(x) = ln(x + 1) - 2, then f-1(x) =
A. ex + 1 - 2
B. ex - 2
C. ex + 2 - 2
D. ex + 2 - 1
For all x real, √(x2 -4x + 4) =
A. x - 2
B. x + 2x + 2
C. |x - 2|
D. x + 2
The value of x that makes x2 + 6x + 13 maximum is equal to ?
A. 6
B. -3
C. 13
D. 3
eln(3) - ln(2) + ln(1/x) =
A. 3 / (2x)
B. 3x/2
C. 1 + 1/x
D. 3/2 - 1/x
If f(x) = (x - 1) / (x + 2), then the range of f is given by the interval
A. (-∞ , -2)U(-2 , +∞)
B. (-∞ , 1)U(1 , +∞)
C. (-2; , +∞)
D. (1 , +∞)
ln((x - 1)2) = 2 ln(x - 1) for all x in the interval
A. (-∞ , +∞)
B. [0 , +∞)
C. (-∞ , 1)U(1 , +∞)
D. (1 , +∞)
Let f(x) = x2 + 2x + 4. Which of the following statements is NOT true?
A. f(x) has a maximum value
B. The graph of f is not a line
C. The graph of f has no x-intercepts
D. The graph of f has a y-intercept.
Find x+y, if: 5x+8y=67 and 2x-y=31
A. 98
B. 46
C. 21
D. 14
Peter’s salary is twice Ann’s salary and half of David’s salary. Then the average salary of Ann and David is _____Peter’s salary
A. equal to
B. larger than
C. depends on salary
D. None of these
Ann and Kate have 80 dollars together. If Kate buys ice-cream for 5 dollars, then Kate will have double Ann’s money. How much money does Ann have?
A. $20
B. $25
C. $40
D. $50
Given: a=b+2c, b=3c. What is the average of numbers a, b and c?
A. c
B. 1.5c
C. 2c
D. 3c
In a forest 4/7 of all the trees are conifer and the rest are leaf-bearing. Among the leaf-bearing trees 7/15 are oak and 2/3 of these oaks are new. There are 160 old oaks in the forest. How many trees in all are in the forest?
A. 2400
B. 2800
C. 3200
D. 3600
Find x+y, if: 2x+3y=8 and 3x+5y=13
A. 1.5
B. 2
C. 2.5
D. 3
The speed of one car is 20% less than the speed of a second car. What percent more time does the first car need to travel the same route as the second car?
A. 12.5%
B. 20%
C. 25%
D. 30%
Number of boys in a class is twice the number of girls. 20% of the girls are brunettes and of the rest – half are blondes: Mary, Clara, Gina and Trisha. How many boys study in this class?
A. 20
B. 24
C. 30
D. 32
In the previous question – what part of all the students are brunette girls?
A. 20%
B. 1/10
C. 1/2
D. 1/15
If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?
A. ZY - V
B. Z/V – 3 – Y
C. Z/3 – V – Y
D. 3V- Z – Y
Two cyclists start biking from a trail’s start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?
A. 2 hours
B. 4 ½ hours
C. 5 ¾ hours
D. 6 hours
Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
A. 12 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?
A. 2x + 5 (x-1) = 9 x = 2
B. p – 3(p-5) = 10 p = 2.5
C. 4 y + 3 y = 28 y = 4
D. t – 2t – 3t = 32 t = 8
Solve the linear equation:
-x – 7 = -3x – 9
A. -1
B. 0
C. 1
D. 2
Solve the linear equation: 3(x + 2) – 2(1 – x) = 4x + 5
A. -1
B. 0
C. 1
D. 2
Find the solution for the following linear equation: 5x/2 = (3x + 24)/6
A. -1
B. 0
C. 1
D. 2
If a and b are real numbers, solve the following equation: (a+2)x-b = -2+(a+b)x
A. -1
B. 0
C. 1
D. 2
Find the solution for the following linear equation:
1/(4x – 2) = ⅚
A. 0.2
B. 0.4
C. 0.6
D. 0.8
Find the factor x^3+2x^2-x-2. x+2 x-3 x+3 x-2
A. X+2
B. X-2
C. X+3
D. X-3
Evaluate f(6) if f(x)=3x^4+3x^2-5x+6
A. 3927
B. 3392
C. 3972
D. 2872
Solve for the value of x.
2x-y+z=6 x-3y-2z=13 2x-3y-3z=16 2 4 3 1
A. 1
B. 2
C. 3
D. 4
Find the value of x which will satisfy the following expression √(x-2)= √x +2.
A. 18/6
B. 3/2
C. 9/4
D. None of these
Find the value of k so that 4x62+6x+k is a perfect square. 2.5 9 36 2.25
A. 2.5
B. 9
C. 36
D. 2.25
Solve for 25(30^x)=(6^3)(5^5)
A. 4
B. 5
C. 2
D. 3
If can do the work in "x" days and B in "y" days, how long will they finish the
job working together?
A. (x+y)/xy
B. x/xy
C. y/xy
D. (xy)/(x+y)
Change 4/5 to percent form?
A. 4
B. 8
C. 80
D. 40
What is 1 and 3/4 of 5676?
A. 3399
B. 5688
C. 9933
D. 8856
How much water must be evaporated from a 10kg solution which has 4% salt to make a solution of 10% salt in Kg?
A. 4
B.7
C. 6
D. 5
The sum of Kim's and Kevin's age is 18. In 3 year, Kim will be twice as old as Kevin. What are their ages no.
A. 4.14
B. 5.13
C. 7.12
D. 6.12
Solve for the value of x in the following equation x^3+log(6/x)=6.278
A. 397.56
B. 279.65
C. 349.65
D. 398.65
