Take Home Review Test E-mail your Part I answers by 3 PM Friday 5/1 to
fsalvo@sfponline.org
1.
If x="log"3716, the value of x to the nearest hundredth is:
(1) 5.97
2.
(2) 5.98
(3) 5.99
(4) 6.12
(5) omit
The expression (3x+2)2 in expanded form equals:
(1) 3x2+4
(2) 9x2+4 (3) 9x2+6x+4 (4) 9x2+6x+4 (5) omit
The graph of the equation 5x2+3y2=18 is a (1)circle (2)parabola (3)ellipse (4)hyperbola
Given the function f(x)=x2-4. Find the numerical value of f(-2). (1)-8 (2)0 (3)8 (4)-1
If y varies inversely with x, and y="2" when x="3," find the value of y when x="1."
(1)3/2 (2)8 (3)6 (4)2/3
6. Solve the equation for x: 5x-4 = 21 (1)2 (2)-2 (3)3 (4)-1
7. Find the solution set for the inequality x2-x-12>0. (1)-3<x<4 (2)-4<x<3 (3)x<-3orx>4
(4)x<-4orx>3
8. Find the product: (4+i)(3-2i). (1)10-5i (2)14-5i (3)14+11i (4)12-7i
9. If f(x)=x(-3/2) find f(16). (1)64 (2)1/64 (3)-24 (4)-64
10. What is the solution set for the equation sqrt(x+6) = 3. (1){3} (2){9} (3){-3} (4){-15,3}
11. The roots of the equation 5x2+7x+k=0 will be imaginary when k="?." (1)0 (2)1 (3)2 (4)3
12. Simplify and express in a+bi form: (2i)/(3-i). (1)(1/5)+(3/5)i (2)(1/4)+(3/4)i (3)(1/5)+(3/5)i (4)(-1/4)+(3/4)i
13. If Z1=9+i and Z2=7-4i, in which quadrant does Z1+Z2 lie? (1)I (2)II (3)III (4)IV
14. Reduce the algebraic function to lowest terms: (x2-16)/(x2+9x+20). (1)-16/(9x+20) (2)(x4)/(x+5) (3)(x+4)/(x-5) (4)-6/20
15. The expression log(x/y)2 is equivalent to: (1)log x - log y (2)2log x - log y (3)log (2x/y)
(4)2log x - 2log y
16. If f(x)=3x+4 and g(x)=x+1 find f(g(8)). (1)19 (2)29 (3)31 (4)37
17. Simplify the complex fraction: ((1/x)-(1/3))/(4/x). (1)(3-x)/4 (2)(3-x)/4 (3)(x-3)/(12x)
(4)1/(4x)
18. If logx81=4, find the value of x. (1)3 (2)4 (3)2 (4)9
19. Find the domain of f(x)=sqrt(x+6). (1)x>-6 (2)x<-6 (3)x>-6 (4)x<-6
20. Solve for all values of x given the equation |2x-1|=13. (1){-7,6} (2){7} (3){-6,7} (4){7,7}
21. Rationalize the denominator and express the answer in simplest terms: 6/sqrt(3).
(1)2sqrt3 (2)(6+sqrt3)/3 (3)sqrt18/3 (4)sqrt3/3
3.
4.
5.
PART II 4 POINTS EACH Show all work on loose-leaf and hand in on Monday 5/4
22. Solve the following absolute value inequality and graph the solution set on the real number
line: |x+3|<5.
23. For the equation 8x2+4x+3=0 find a) the sum of the roots and b) the product of the roots.
24. Write in simplest form: 2sqrt(-8) - 3sqrt(-32).
25. Factor the following expression completely: 2x2-72.
PART III 10 points each. Show all work on loose-leaf and hand in on Monday 5/4
26. Solve the following equation and express the roots in simplest a+bi form. x2-2x+8=0.
27. Computer use has increased steadily in this country since 1995. The table below shows the
number of hours the average teenager uses a computer a week for each of the years studied. Use
0 to represent 2000, 1 for 2001, etc. when entering your data into the
calculator.
[10]
Year
Hours of Use
a.
b.
2000
8
2001
12
2002
15
2003
22
2004
27
2005
30
Graph the scatter plot of the given information.
Find the linear equation of best fit for the given data. Round decimals to two
places.
c. Find the correlation coefficient "r" correct to 4 decimal places.
d. Use the equation found in part b to estimate the number of Hours of Use in 2007.