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Worksheet #1: Solving Linear Equations (Glencoe Algebra I Text, 1997, 185)
1. What is the solution of m   4  7 ?
A. 3
B. 23
C. 11
D. 211
1. ________
2. What is the solution of  11  n   11 ?
A. 0
B. 22
C. -22
D. none of these
2. ________
3. The sum of two integers is -46. The greater integer is 13. What is the lesser
integer?
A. 59
B. -59
C. -33
D. 33
4. What is the solution of  26 y  884 ?
A. 910
B. 858
C. 34
5. What is the solution of
A. 45
B. 5
3
x  15 ?
5
C. 25
6. What is the solution of 5x  3  23 ?
A. 4
B. -4
C. 5
7. What is the solution of
A. -30
B. 30
n
 8  2 ?
3
C. -18
8. What is the solution of  14 
A. -72
B. 72
c  12
?
6
C. 96
3. ________
4. ________
D. -34
5. ________
D. 75
6. ________
D. -5
7. ________
D. 18
8. ________
D. -96
9. What is the supplement of an angle whose measure is x  28 ?
A. (62 – x)o
B. (118 – x)o C. (208 – x)o D. (152 – x)o

10. What is the measure of an angle that is twice its complement?
A. 30o
B. 60o
C. 90o
D. 120o
9. ________
10. ________
11. The measure of two angles of a triangle are 44o and 32o. What is the measure of
the third angle?
A. 76o
B. 14o
C. 44o
D. 104o
11. ________
12. What is the solution of 2x  7  5x  16 ?
A. -3
B. 32
C.  23
3
12. ________
D. 3
A. identity
2
6x  3  x  5x  8  2x ?
3
B. no solution
C. 6
D. 0
13. What is the solution of
14. What is the solution of  3h  6  52h  3 ?
3
9
3
A.  13
B. 13
C.  13
D.
9
13
15. Let x represent the lesser of two consecutive even integers. Which equation
would you use to find the two integers if their sum is 126?
A. x  x  2  126
B. x  2x  126
C. x  2  x  4  126
D. xx  2  126
16. A number is added to 9. The result is then multiplied by 4 to give a new result of
120. What is the number?
A. 27 34
B. 489
C. 39
D. 21
17. What is the solution for x of 2x  y  y ?
A. 2y – 2
B. y – 2
C. y
D. 0
18. Find the mean of the set of data 4, 6, 7, 7, 9, 11, 17, 21, 25 rounded to the nearest
tenth.
A. 7
B. 9
C. 11.9
D. 11.5
13. ________
14. ________
15. ________
16. ________
17. ________
18. ________
19. Find the median of the set of data 5.11, 7.07, 8.95, 6.89, 8.63, 8.95.
A. 7.85
B. 8.95
C. 7.60
D. no median
19. ________
20. Which is affected by extremely high or low values in a set of data?
A. median
B. mode
C. mean
D. All are affected
20. ________
Bonus
A high school team had just won a conference mathematics contest. A
reporter from the local paper asked the team captain, “How many gold, silver, and
bronze medals did the team win?” The captain replied, “The product of the three
numbers is 72 and their sum is the same as today’s date.” The reporter thought for
a while and said, I know the date but I still can’t find the answer.” The captain
exclaimed, “I’m sorry, I forgot to tell you that the smallest number of the medals
was of bronze and the greatest number of medals was gold.” “Thank you,” replied
the reporter, who then left to write the story. How many medals of each type were
won?
Bonus
________
________
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