Name: 
 

CAHSEE Pre-Test


Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

 1. 
If f(x) = mx2 + n and g(x) = nx2 + m, which is equivalent to mf(n) – ng(m)?
a.
m + n
d.
2mn
b.
mn
e.
0
c.
–mn
 

 2. 
If a die and a coin tossed together, which is the probability of landing a tail and an even integer?
a.
cahsee_pretest_files/i0030000.jpg
d.
cahsee_pretest_files/i0030001.jpg
b.
cahsee_pretest_files/i0030002.jpg
e.
cahsee_pretest_files/i0030003.jpg
c.
cahsee_pretest_files/i0030004.jpg
 

 3. 
Which is the solution set to the inequality –6 < 3x + 21 < 11?
a.
9 > x > 10
b.
–3 < x < –7
c.
–9 < x < cahsee_pretest_files/i0040000.jpg
d.
–9 < x < cahsee_pretest_files/i0040001.jpg
e.
–9 < x < –7
 

 4. 
The scatter plot below displays the scores of ten students named by A, B, C, and son on in SAT and PSAT exams. Which students scored more than H in SAT but scored less than H in PSAT?

cahsee_pretest_files/i0050000.jpg
a.
F and G
d.
A and H
b.
A and K
e.
G and H
c.
F and K
 

 5. 
If P2 – 121 = S2 and P + 12 = 2S for S ? 0, which is equivalent tocahsee_pretest_files/i0060000.jpg?
a.
cahsee_pretest_files/i0060001.jpg – 2
d.
2 +cahsee_pretest_files/i0060002.jpg
b.
2 – cahsee_pretest_files/i0060003.jpg
e.
2 – cahsee_pretest_files/i0060004.jpg
c.
cahsee_pretest_files/i0060005.jpg – 2S
 

 6. 
The following figure shows a rectangular board in which the dimensions of the outer rectangle are three times the dimensions of the inner rectangle. If a dart thrown toward this board, which is the probability of landing on the shaded rectangle.
a.
cahsee_pretest_files/i0070000.jpg
d.
cahsee_pretest_files/i0070001.jpg
b.
cahsee_pretest_files/i0070002.jpg
e.
cahsee_pretest_files/i0070003.jpg
c.
cahsee_pretest_files/i0070004.jpg
 

 7. 
For what values of m the function f(x) = 3x2 – mx + 12 does not intersect x-axis?
a.
m = 12 or m = 12
d.
m < 72
b.
–12 < m < 12
e.
–12 < m < 0
c.
0 < m < 12
 

 8. 
Define the function ¤ for two fractions cahsee_pretest_files/i0090000.jpg and cahsee_pretest_files/i0090001.jpg as cahsee_pretest_files/i0090002.jpg¤cahsee_pretest_files/i0090003.jpg = cahsee_pretest_files/i0090004.jpg. Which is the value of cahsee_pretest_files/i0090005.jpg¤cahsee_pretest_files/i0090006.jpg?
a.
–cahsee_pretest_files/i0090007.jpg
d.
cahsee_pretest_files/i0090008.jpg
b.
–cahsee_pretest_files/i0090009.jpg
e.
cahsee_pretest_files/i0090010.jpg
c.
cahsee_pretest_files/i0090011.jpg
 

 9. 
Table below shows the age records of students in a college campus. If a student chosen randomly, which is the probability of selecting a student older than 30 years?

Age Interval
Number of Students
18-20
3500
21-30
2800
31-40
800
41-50
88
51-60
12
a.
cahsee_pretest_files/i0100000.jpg
d.
cahsee_pretest_files/i0100001.jpg
b.
cahsee_pretest_files/i0100002.jpg
e.
cahsee_pretest_files/i0100003.jpg
c.
cahsee_pretest_files/i0100004.jpg
 

 10. 
Point M at (–5, 7) is one endpoint of a segment MN. If MN = 5, at which of the following point N can be?
a.
(–2, –3)
d.
(3, –1)
b.
(3, 2)
e.
(–2, 3)
c.
(1, –3)
 

 11. 
Three properties A, B, and C are located next to each other. The area of A is three times the area of C and the area of C twice the area of B. If the area of B is m square unites, which of the following is the difference between the areas of properties A and C?
a.
6m2
b.
4m
c.
8m
d.
6m
e.
2m
 

 12. 
In the following figure, AD = BC. Which of the for proving that triangles

cahsee_pretest_files/i0130000.jpg
ACE and BDE are congruent?
a.
AC = BD
d.
AE = AC
b.
DE = CE
e.
BE = BD
c.
AB = BC
 

 13. 
Given set S = {3, 5, 6, 7, 9, 11} and cahsee_pretest_files/i0140000.jpg= {3, 4, 6, 7, 9, 11, 14, 15}, which set can be equal to cahsee_pretest_files/i0140001.jpg?
a.
{3, 5, 6, 7, 9, 11}
d.
{3, 9, 11}
b.
{14, 15}
e.
{11, 14, 15}
c.
{7, 9, 11}
 

 14. 
In the following figure, right triangle ABC joined the rectangle BCDE at cahsee_pretest_files/i0150000.jpg and ABE is an isosceles triangle. Which is the area of the rectangle?


cahsee_pretest_files/i0150001.jpg
a.
cahsee_pretest_files/i0150002.jpg
d.
8m2 + cahsee_pretest_files/i0150003.jpg
b.
cahsee_pretest_files/i0150004.jpg
e.
cahsee_pretest_files/i0150005.jpg
c.
cahsee_pretest_files/i0150006.jpg
 

 15. 
The graph of the function f(x) = –3x2 + 11x – 21 is shifted 6 units upward. Which functions represents the new graph?
a.
f(x) = –3x2 + 11x – 27
d.
f(x) = –3x2 + 17x – 15
b.
f(x) = –3x2 + 11x – 15
e.
f(x) = –3x2 + 17x – 21
c.
f(x) = –3x2 + 5x – 21
 

 16. 
x varies inversely as a2 and a varies inversely as p2, then x varies directly as:
a.
p6
d.
a8p8
b.
ap8
e.
a6p6
c.
p4
 

 17. 
Producing copies of a book costs m dollars for the first one thousand copies, n dollars for the next five hundred copies, and $2,65 for each copy thereafter. If C in dollars represents the total cost of producing R >1500 copies of the book, which equation is equivalent to C?
a.
C = (m + n)(2.65) + R
b.
C = (m + n) + (R –1500)(2.65)
c.
C = (m + n)(R –1500)(2.65)
d.
C = (m + n) + R(2.65)
e.
C = (R – m – n) + R(2.65)
 

 18. 
Which is the equation of a line passing through (2, 5) and is perpendicular to
x – y – 1 = 0?
a.
x – 2y = –3
d.
x + y = 7
b.
x – y = –5
e.
x + y = 7
c.
x – y = –3
 

 19. 
A box containing m number of CD’s and m numbers of floppy diskettes weighs P pounds. Which of the following is the total weight of 50 CD’s and 50 floppy diskettes?
a.
cahsee_pretest_files/i0200000.jpg
b.
cahsee_pretest_files/i0200001.jpg
c.
cahsee_pretest_files/i0200002.jpg
d.
cahsee_pretest_files/i0200003.jpg
e.
P – 50m
 

 20. 
Which of the following is the solution set to the inequality cahsee_pretest_files/i0210000.jpg < 5
a.
–24 < x < 4
b.
24 > x > –4
c.
12 > x > 4
d.
24 > x > 4
e.
–24 < x < –4
 

 21. 
The total cost of manufacturing of m units of a product is modeled by
C = –30m2 + 2,000m + 1,400, in dollars. What is the cost of producing 40 units of this product?
a.
$129,400
d.
$80,200
b.
$3,340
e.
$33,400
c.
$34,300
 

 22. 
The function f(x) = cahsee_pretest_files/i0230000.jpg is given. Which of the following conditions makes the function to be defined for all real numbers?
a.
m and n are odd integers.
d.
m is an even integer.
b.
n is an even integer.
e.
m and n are even integers.
c.
m and n are integers.
 

 23. 
x varies directly as m and m varies inversely as y. When x = 6, y = 4. Which is the value of y when x = 5?
a.
4
d.
5
b.
4.8
e.
4.5
c.
5.8
 

 24. 
If the sequence m(m – n), (m + n), n(m – n) is geometric, which of the following is equivalent to cahsee_pretest_files/i0250000.jpg?
a.
m2n
d.
cahsee_pretest_files/i0250001.jpg
b.
mn2
e.
cahsee_pretest_files/i0250002.jpg
c.
mn
 

 25. 
If m2 = a + b + c and n2 = a – b – c, which is equivalent to cahsee_pretest_files/i0260000.jpg?
a.
cahsee_pretest_files/i0260001.jpg
d.
cahsee_pretest_files/i0260002.jpg
b.
cahsee_pretest_files/i0260003.jpg
e.
cahsee_pretest_files/i0260004.jpg
c.
cahsee_pretest_files/i0260005.jpg
 

 26. 
Among the members of a social club are 42 females and 38 males. Among the female members 14 are senior citizens. If a member chosen to represent the club in a national conference, what is the probability of choosing a female senior citizen?
a.
cahsee_pretest_files/i0270000.jpg
d.
cahsee_pretest_files/i0270001.jpg
b.
cahsee_pretest_files/i0270002.jpg
e.
cahsee_pretest_files/i0270003.jpg
c.
cahsee_pretest_files/i0270004.jpg
 

 27. 
In the following figure, the diameter of the semicircle measures 6m. Which is the total area of the figure?

cahsee_pretest_files/i0280000.jpg
a.
(4 + 9ð)n2 + 6mn
d.
(4.5 + 9ð)m2 + 3mn
b.
18.5ðm2 + 6mn
e.
18.5m2 + 6mn
c.
(4.5ð + 16)m2 + 6mn
 

 28. 
Which equation has the same answer as cahsee_pretest_files/i0290000.jpg – 8 = –3?
a.
cahsee_pretest_files/i0290001.jpg – 6 = 2
b.
cahsee_pretest_files/i0290002.jpg = 3
c.
cahsee_pretest_files/i0290003.jpg = 5
d.
cahsee_pretest_files/i0290004.jpg = 11
e.
cahsee_pretest_files/i0290005.jpg= 5
 

Numeric Response
 

 29. 
The total of interest and capital of P dollars investment for t years at a rate of r compounded annually is determined by A = P(1 + t)n. How much will be added to $1,800 investment after 4 years at a rate of 12% to the nearest dollar?

 

 30. 
If f(x) = 2x3 + 1 and g(x) = 2x2 – 1, what is the value of cahsee_pretest_files/i0320000.jpg?

 

 31. 
The graph of the line x + y = 7 is perpendicular to 3x – my = 11 and is parallel to
x + ny = 9. What is the value of (m + n)2

 

 32. 
In the isosceles right triangle ABC, cahsee_pretest_files/i0340000.jpg is a median dropped to the hypotenuse and cahsee_pretest_files/i0340001.jpg is a median in the triangle ACD. What is the ratio of the area of the triangle ADM to the area of the triangle ABC in decimal?    

cahsee_pretest_files/i0340002.jpg

 

 33. 
In the  figure on the right, right triangle ABC joined the equilateral triangle ACD atcahsee_pretest_files/i0350000.jpgand AB = cahsee_pretest_files/i0350001.jpg. What is the perimeter of the triangle ACD



cahsee_pretest_files/i0350002.jpg

 

 34. 
Among 85 students of a class 35 are members of Science club and 56 are members of Sport club. How many students are members of both clubs?

 

 35. 
What is the solution to the equation cahsee_pretest_files/i0370000.jpg = 3x?

 

 36. 
The monthly income of Brandon over the last year is displayed in the chart below. What is the difference between her highest and lowest incomes?


cahsee_pretest_files/i0380000.jpg

 

 37. 
If 125x + 2y = 1 and 253x + 5y = 5–x + 2y + 6, what is the value of (x – y)3?

 

 38. 
A retailer had the following items in his store. He sold all the items within a week when he marked all items 25% down. How much did he earn at the end of the sale?

Item
Number of Item
Price
4-Slice Toaster
12
$12
Radiant Heater
16
$21
Cooker Kettle
24
$20

 

 39. 
The following graph displays the percentages of elements in 560 gallons of a chemical. What is the volume of the Phosphorus in this material?



cahsee_pretest_files/i0410000.jpg

 

 40. 
In the following figure, cahsee_pretest_files/i0420000.jpg is perpendicular to the circle O. What is the area of the circle
(ð = 3.14)?


cahsee_pretest_files/i0420001.jpg

 



 
Check Your Work     Reset Help