Name:Total Points

Scored: = %Date: Points for Full Credit: 1750

Chapter 2 Test Answer the following questions to the best of your ability, making sure to show your work wherever necessary. Please note that some problems are worth more than others.

Problems 1–20: Solve Equations (50 points each). Solve the following equations for the variable. If the equation is stated in a sentence, write the equation and then solve.

1) x−14=3

2) 17−(−a )=23

3)37=1

2+b

4) 10−c=23

5)d

−6=28

6)3m8

=27

7) 5=4n−19

8) The product of −13 and a number is 78.

9) 8 y=−72

10) 9= z−56

11) The quotient of a number and 58 is 32.

12) Twice the sum of a number and 4 is 15.

13)r

−4+2=−17

14) 5 more than 6 times a number is 30.

15) 5 s+6=9 s−38

16) 23t−3=1

3(2 t−9)

17)14u

=2015

18)0.19

8=0.57

v

19) The quotient of 1 less than a number and 3 is equal to 5.

20) The ratio of 3 and 2 is in proportion to the ratio of 25 and a number.

Problems 21–28: Proportions (25 points each). True or False: Each of the following ratios are proportions. (All variables are non-zero.)

21) 3:5 and 15:25

22) 5 to 2 and 17 to 6.8

23) 17:5 and 10:34

24) a:b and b:c

25) 12:7 and 7:12

26) 6:29 and 6:29

27) x:3 and 2x:6

28) x:xy and 1:y

Problems 29–32: Percent of Change (50 points each). State whether each percent of change is an increase or a decrease, then find the percent of change. Round to the nearest whole percent.

29) Original: 54New: 36

30) Original: 36New: 54

31) A volleyball’s price changes from $5.50 to $6.60.

32) The number of Cheetos in a bag of Cheetos changes from 125 to 25.

Problems 33–36: Solving Formulas (75 points each). Solve each of the following equations for the variable specified.

33) y=3 x−8, for x

34) x+4 y−9=2 y+7, for x

35) 3 x−xy=15, for x

36) 9b+c=xz+2b, for b

Problems 37–39: Word Problems (100 points each)

37) In a math class, a student’s average depends on six tests and only six tests. Sarah’s six test scores, in order, were 88, 95, 97, 100, 81, and 75. If her final test counted three times as much as any other test, what was her class average?

38) If Jack begins with 10 mL of nearly pure copper sulfate (95% concentration), how many mL of purified water (0% copper sulfate concentration) would he have to add to dilute the solution to 55%?

39) Brannon is driving at 45 miles per hour on the highway. A cheetah is chasing after him at 65 miles per hour. If Brannon has a 1-mile head start, how many minutes will it take the cheetah to catch him? (Hint: Watch your units carefully and convert to minutes at the end of the problem.)