Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
1) Determine which of the following is used to solve the inequality ax + b > c , for c > 0. 1)
A) ax + b > c and ax + b < -c B) ax + b > c or ax + b > -c
C) ax + b > c or ax + b < -c D) ax + b < c and ax + b > -c
1 2
2) Which of the following is not a correct answer when the formula V = r h is solved for h? 2)
3
3V V V 1 V
A) B) 3 C) D)
r2 r2 1 2 3 r2
r
3
Solve the problem.
3) The graph shows the percent of students at a local high school who were enrolled in a foreign 3)
language class each school year during the 1980s.
What is the best estimate for the number of students not taking a language in 1984 if a total of 2,080
students were enrolled in the school?
A) 1,310 students B) 3,328 students C) 770 students D) 720 students
Provide an appropriate response.
4) Determine which of the following is used to solve the equation ax + b = c , for c > 0. 4)
A) ax + b = c or ax + b = -c B) ax + b = c
C) ax + b = -c D) ax + b = c and ax + b = -c
5) Determine which of the following is used to solve the inequality ax + b < c , for c > 0. 5)
A) ax + b < c B) -c < ax + b > c
C) -c < ax + b < c D) ax + b < c or ax + b < -c
1
6) Which of the following is not a correct answer when the formula A = h(b + B) is solved for b? 6)
2
1
A- Bh
2A - Bh 2 2A 2A - B
A) B) C) -B D)
h 1 h h
h
2
1
,Solve the problem.
7) The graph shows the percent of students at a local high school who were enrolled in a foreign 7)
language class each school year during the 1980s.
What is the best estimate for the number of students taking a language in 1982 if a total of 2,260
students were enrolled in the school?
A) 1,926 students B) 384 students C) 66 students D) 1,876 students
8) Which one of the following inequalities is equivalent to b -2? 8)
A) -5b -10 B) -5b -10 C) -5b 10 D) -5b 10
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Answer the question or solve the problem.
1 1
9) If a < b, is it always true that > ? Explain. 9)
a b
Provide an appropriate response.
10) True or false? The solution set of the equation 7y - 6 = 7y + 3 is {0}. Explain. 10)
11) Two angles are complementary. One of the angles is r. How do you express the other 11)
angle?
Answer the question or solve the problem.
12) If a b, is it always true that a - 5 b - 5? Explain. 12)
Provide an appropriate response.
13) If one step in the solution of an equation is 8 = 15, what is the final solution of the equation? 13)
14) True or false? This pair of equations is equivalent. 2x - 5 = 7 and 3x + 5 = 23 14)
Answer the question or solve the problem.
15) Under what conditions must the inequality symbol be reversed when solving an 15)
inequality?
16) If b < 0, is it true that b2 > b? Explain. 16)
Provide an appropriate response.
17) The volume of a rectangular solid is to be 100 cubic units. Give two sets of possible 17)
dimensions for the solid.
2
, 18) When solving a "word problem" we set up an equation in x. Give an example where the 18)
solution of the equation is not the answer to the problem.
1 2 2s
19) Suppose the formula s = gt + vot is solved for t with the following result: t = . Is 19)
2 gt + 2vo
this an acceptable solution? Explain.
20) Suppose you were to solve a problem involving motion, and the problem gave the rate in 20)
miles per hour and the time in minutes. Would you be able to determine the distance
traveled? If so, how would you go about it?
21) Suppose the formula A = 2 rh + 2 r2 is solved for r with the following result: r = 21)
A
. Is this an acceptable solution? Explain.
2 h+2 r
Answer the question or solve the problem.
22) The three-part inequality a < x b means "a is less than x and x is less than or equal to b". 22)
Which of these inequalities is not satisfied by any real number x?
(a) -5 < x -11
(b) -8 < x -7
(c) 0 < x 4
(d)-2 < x 6
23) If a b, is it always true that -4a -4b? Explain. 23)
Provide an appropriate response.
24) True or false? The solution set of the equation 6(5s - 6) = 30s - 36 is {1}. Explain. 24)
25) One student solved a problem involving money by using a denomination based on cents 25)
and not on dollars. For example, she multiplied the number of nickels by 5 cents and not by
$0.05. Was she wrong?
Answer the question or solve the problem.
26) In solving the inequality 4x -32, would you have to reverse the inequality symbol? 26)
Explain why.
Provide an appropriate response.
27) Find all values of s that make this statement true: 2(6s - 7) = 12s - 14. 27)
28) If you are given the measure of one angle of a triangle, would you be able to provide the 28)
measures of the two other angles?
Answer the question or solve the problem.
29) If a b, is it always true that a 2 b2 ? Explain. 29)
3
, MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality is
given, then write the solution set in interval notation.
30) y + 7 - 4 = 14 30)
A) {11} B) {11, -25} C) {18, -18} D) {13, 24}
Solve the inequality and graph the solution set.
31) 6 - x 10 31)
A) (- , -4]
B) (- , 16]
C) [-4, 16]
D) (- , -4] [16, )
Solve the problem.
32) From a point on a river, two boats are driven in opposite directions, one at 8 miles per hour and the 32)
other at 6 miles per hour. In how many hours will they be 70 miles apart?
A) 7 hours B) 6 hours C) 5 hours D) 1 hour
Decide if the statement is true or false.
33) 5 is a solution of -8x + 4x = -20. 33)
A) True B) False
Solve the problem.
34) Tom Quig traveled 260 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one 34)
period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 6
hours, how many miles did he drive at the reduced speed?
A) 15 miles B) 20 miles C) 30 miles D) 40 miles
35) A pie-shaped (triangular) lake-front lot has a perimeter of 1,800 ft. One side is 400 ft longer than 35)
the shortest side, while the third side is 500 ft longer than the shortest side. Find the lengths of all
three sides.
A) 400 ft, 800 ft, 900 ft B) 300 ft, 700 ft, 800 ft
C) 400 ft, 400 ft, 400 ft D) 100 ft, 200 ft, 300 ft
36) Gloria collected 20 fantail and comet goldfish. There were 16 fewer fantails than comets. How 36)
many comets did Gloria have?
A) 2 comets B) 18 comets C) 4 comets D) 17 comets
4
