College Alg Prep Sem 1 Review
33. In the xy-plane, what is the x-intercept of the graph of y=-2/3x-4?
-6
21. When 3+4i/2+i is expressed in the form a+bi, what is the value of a?
2-i
29. If x=-3 is a root of the equation x^3+3x^2-ax-12=0, what is the value of a?
4
88. What are the coefficients..
96
40. Which of the following points on the line 2x + 4y= 8?
A- (2,1)
43. In the xy plane...
A- (5,10)
2. Which of the following is a factor of 4-(x+y)^2?
A- -(x+y)^2
23. Which of the following numbers is NOT a solution to the inequality 2x-5>=3x-1?
A- -2
89. which of the following
A- -3y(4x^2+2x-1)
54. A rock is thrown...
A- 0.5
42. If f(x) = 3x+4(x+1)+2 then f(4x)=?
A- 28x+6
1. If f(x)=2+2 and g(x)=x^2+4x, then find (f/g)(x)
A- 2x+2/x^2+4x
67. In the xy plane...
A- 2x+5y=7
40. If x=9, what is the value of y in the following equation? 2y=2x^2/3+6
A- 30
38. 5 less than twice a positive integer is 73. What is the integer?
A- 39
47. Calculate f(4) for the function f(x) =3x^2-4
A- 44
18. joe invests ...
A- v=40,000 -t and v=10,000+t
6. Which of the following are solutions of the equations (2x-3)(3x+5)=-14
A- x=1/3 and x=-1/2
55. Which of the following lines is parallel to: 6y-2x=24?
A- y=1/3x+2
2. In the standard (x,y) coordinate plane, which of the following lines contains the points(3,-5) and (8,15)?
A- y=4x-17
1. Which of the following points lies on the line
B- (-1,2)
5. What is the slope of a line that is perpendicular to the line 4x-2y=6?
B- -1/2
12. What is the solution of the following inequality? |x-2|>=3
B- -1<=X<=5
44. (i+1)(3-i)+(2i-1)
B- 1+4i
15. What is the value of x in the following equation? 2/3x+1/6=1/2
B- 1/2
87. Which of the following
B- 12√2
3. 2v(3v^2-1)-(6-8v^3+14v)+3=?
B- 14v^3 +12v-3
19. If x+sin^2a+cos^2a=3, then x=?
B- 2
28. which of the following is an expansion of (2x-3)^3?
B- 2x^3+3(2x^2)+3(2x)+1
42. Which of the following is equal to b3/5?
B- 35
45. If function is defined as f(x)=bx^2+15, and b is a constant and f(2)=35, what is the value of f(5)?
B- 35
56. A function g(3)=5 and g(5)=4. A function f(5)=2 and f(4)=6. What is the value of the f(g(5))?
B- 6
9. What is the solution of the following inequality? |x-10|<=3
B- 7<=x<=13
14. If 3h+g=8h+4, What is g in terms of h?
B- g=5h+4
12. Which of the following defines the interval of real numbers [-4,2]
B- |x+1|<=3
34. If the function g(x) has three distinct zeros, which of the following could represent the graph g(x)?
C
41. If 2x+2y=2, 3x-y=7, which of the following ordered pairs (x,y) satisfies both equations?
C- (2,-1)
43. A line in the xy- plane passes through origin and has a slope of 1/3 which of the following points lie on the line?
C- (9,3)
51. If 4/x=12/x-8 what is the value of x/2?
C- -2
52. If y=8x^2+4x-1 ...
C- -3/2
44. Simplify (-4+9i)(3+5i)
C- -57+7i
25. If √4m-3 =m, what is (are) the value(s) of m?
C- 1,3
15. The equation x^2=4x-3 has how many distinct real solutions?
C- 2
13. When 5 times the number x is added to 10 the result is 35. What is the result when 3 times x is added to 6?
C- 21
45. Solve for x: 4(x+1)=6(x-4)+20
C- 4
7. For i= √-1 which of the following is equivalent 2+3i/5-2i?
C- 4+19/29
6. What is the value of the expression 6(x-2y)-(2-x)^2 when x=3 and =-2?
C- 43
8. If function is defined as f(x)=bx^2+15, and is a constant and f(2)=35. What is the value of f(3)?
C- 60
68. Which of the following statements...
C- III only
56. In the figure shown above...
C- g(x)=-1/2 (x-2)^2-3
44. Which of the following is equivalent to (3n^2+2n+6)-(2n^2-4)?
C- n^2+2+10
12. If A= {2,5,11,15} B= {1,2,3,4,5,6} C={5,7,9,11,13} Then which of the following set is (AUB) nc?
D- (5,11)
52. Which of the following is an equation of a circle in the xy- plane with the center (-1,2) and a radius with the end point (2,6)?
D- (x+1)^2 +(y-2)^2=25
48. what are the zeros of the function f(x)= x^3+5x^2+6x
D- 0,-2,-3
5. where defined x^2-9/x+2/x-3/x-2=
D- 1/(x-2)(x+2)
3. Which of the following is equal to the expression below? (5x+2y)(2x-y)
D- 10x^2-xy-2y^2
32. The graph of the function f is shown above. What is the value of f(f(1))?
D- 2
2. Point A lies on the line with the equation y-3=2(x+5) If the x- coordinate of A is 8, what is the y-coordinate of A?
D- 29
41. If x-3/5=N and N=6, what is the value of x?
D- 3
42. 2x-1/x+3-x-2/2x+1=?
D- 3x^2-x+5/(x+3)(2x+1)
17. Simplify 7x^2y^3(2x^2y^3)=?
D- 56x^8y^6
4. What is the product of all possible values of x in the following equations? |x-10|=4
D- 84
17. which quadrants of the xy-plane contain points of the graph of 2x-y>4?
D- II,III, and IV
19. Which of the following is an equation of the line that passes through the points (-2, 1) and (1,2) in the xy plane?
D- x-3y=-5
13. which of the following are the solutions to the equation 2x^2+2x=4-x?
D- x=-3+√41/4 and -3-√41/4
24. What are all real values of x for which 2/3-x=1/3-1/x?
D- x=3 and -3
51. A rectangular box...
D- x^2+2x+4
50. y=x^2-7x+12 The equation above represents a parabola in the xy-plane. Which of the following equivalent forms of the equation displays the x-intercepts of the parabola as constants or coefficients?
D- y=(x-3)(x-4)
31. If y-nx+2, where n is a constant, and when x=6, y=14 what is the value of y when x=10?
D. 22
34. If f(x)=2x^3+5x^2+2x and g(x)=-3, what is the value of f(g(x))?
E- -15
18. What are the zeros of the function f(x)=x^3+7x^2+12x?
E- 0,3,-4
70. Which of the following...
E- 1
7. If y= 5ab + 3b^3, what is when a=2 and b=3?
E- 111
27. What is the slope of the line: 4x-2y=12
E- 2
37. If f(x)=2x^3+2 and (x)=1/x, what is the value of f(g(x))?
E- 2/x^3+2
6. Which of the following expressions is equivalent to 5x(4+2y)?
E- 20x+10xy
5. (7x+2y)(5x+2y)=?
E- 35x^2 + 24xy +4y^2
49. Simplify 4-31/-4i?
E- 4+i
36. Multiply and write the product in scientific notation: (2.9 x 10^6)(2.6 x 10^-5)
E- 7.54 x 10
1. Which of the following expressions is equivalent to (3-5b)^2?
E- 9-30b+25b^2
9. which of the following is equal to r^2r^t/2r^2/3r^-3/2
E- r^8/3/t
73. the function of f...
E- x^2+10x+28
20. If √3x=√y, then x=
E- y/3
21. If f(x)=2x^3+5x^2 and g(x)=-4, what's the value of f(g(x))?
E. -56
78. chart
above, on, above, below
