MULTIPLE CHOICE. Choose the one alternative that best completes the statement oranswers the question.Name the indicated property.

1) If x = -5, then -5 = x. 1) _______A) reflexive property B) multiplication propertyC) symmetric property D) transitive property

2) If x = 1 and 1 = y, then x = y. 2) _______A) multiplication property B) transitive propertyC) reflexive property D) symmetric property

3) 5x + 24 = 5x + 24 3) _______A) transitive property B) addition propertyC) symmetric property D) reflexive property

4) If x = -5, then x + 2 = -5 + 2 4) _______A) reflexive property B) transitive propertyC) symmetric property D) addition property

5) If x + 2 = -7, then x + 2 - 2 = -7 - 2 5) _______A) addition property B) transitive propertyC) reflexive property D) symmetric property

6) If x = 4 , then x - 4 = 4 - 4 6) _______A) symmetric property B) transitive propertyC) addition property D) reflexive property

7) If x + 9 = y + 5, and y + 5 = z, then x + 9 = z 7) _______A) addition property B) transitive propertyC) symmetric property D) reflexive property

8) If 5x = -9, then -4( 5x) = -4( -9) 8) _______A) transitive property B) multiplication propertyC) symmetric property D) reflexive property

9)

4x = 25, then (4x) = ( 25)

9) _______

A) multiplication property B) transitive propertyC) reflexive property D) symmetric property

Give the degree of the term.10) 5x 10) ______

A) 0 B) 5 C) -1 D) 1

11) -7 11) ______

A) -28 B) 28 C) -7 D) 4

12) -5xy 12) ______A) 2 B) 1 C) 0 D) -5

13) 9 13) ______

A) 1 B) 0 C) -9 D) 9

14) -9 14) ______A) -9 B) 1 C) 0 D) 9

15) 8x7b8c6 15) ______A) 6 B) 8 C) 21 D) 14

16) 4 w8c2 16) ______A) 4 B) 14 C) 2 D) 10

17) 3x 17) ______

A) 9 B) 8 C) 3 D) 15

18) 14 y 18) ______

A) 3 B) 7 C) 2 D) 14

Simplify the expression. If the expression cannot be simplified, so state.19) 6a - 3a + 3 19) ______

A) 3a + 3 B) -3a + 3C) 9a + 3 D) cannot be simplified

20) -10y - 8x - 2x 20) ______A) -10y + 6x B) -10y - 10xC) -10y - 6x D) -20xy

21) -9y - 4 21) ______

A) -13y B) -13y2C) -5y D) cannot be simplified

22) -8y + 1 - 4 + 7 + y - 4 22) ______A) -9y + 1 B) -7y - 1 C) -7y D) -9y

23) -7x6 - 2x6 23) ______A) -10x6 B) -9x36 C) -9x6 D) -9x12

24) 1.5x4 + 1.3x4 + 1.5x4 24) ______A) 13x4 B) 4.3x4C) 5.8x4 D) cannot be simplified

25) -14y8 - 5y8 25) ______A) -9y8 B) -19y16C) -19y8 D) cannot be simplified

26) 6y + 6 - 3 y + 2 26) ______A) 3y + 8 B) 9y + 8 C) 3y + 4 D) 11y

27) 5.8k - 1.7 - 3.5k + 9 + 2.9k 27) ______A) 5.2k + 10.7 B) 5.2k + 7.3C) 5.2k - 7.3 D) 12.2k + 7.3

28) -5( 9r + 6) + 7( 8r + 8) 28) ______A) 4r + 1 B) 11r + 6 C) 11r + 26 D) -75r

29) 4 + 2( 12 - 8m) 29) ______A) 28 - 8m B) 24 -

16mC) 28 +

16mD) 28 -

16m

30) 9(y + 6) - 4 30) ______A) 9y + 2 B) 9y + 18 C) 9y + 50 D) 15y - 4

31) ( 8z + 3) - ( 4z - 2) 31) ______A) 4z + 1 B) 12z + 5 C) 4z - 5 D) 4z + 5

32) -6(2x - 7) - 4x + 6 32) ______A) -16x +

48B) -16x -

36C) 16x + 48 D) 8x + 48

33) -5[ 8 + 9( -4 - x)] 33) ______

A) -40 + 5x + 180 B) -40 - 9x - 36C) -40 + 45x + 180 D) -40 - 45x + 180

34) [ -10 + ( 3 + 6)] + [ ( 9 + ( 9 + 10 )) - 2 ] 34) ______

A) -28 - 3 B) -16 - 15C) -24 - 3 D) 10 + 15

35) 7{ 9 + 4[ 5 - (y + )]} 35) ______

A) 175 - 28y B) 83 - 4y - 4C) 203 - 7y + 7 D) 203 - 28y - 28

36) 2 + 2( 2 - 9 ) 36) ______

A) 6 - 18 B) 6 - 9C) -12 D) cannot be simplified

37) s + 5rs - [-(rs + 6 s) + rs] 37) ______

A) 7 s + 5rs B) -5 s + 7rsC) 6 s + 3rs D) 12

Solve the equation.38) 2n - 3 = 13 38) ______

A) 9 B) 14 C) 18 D) 8

39) 5y - 4 = 1 - 6y 39) ______A)

-

B) C) D)

40) 8x - ( 6x - 1) = 2 40) ______A) -

B) - C) D)

41) 3(x + 2) = 4(x - 7) 41) ______A) -22 B) 34 C) 22 D) -34

42) 4(2x - 3) = 7(x + 2) 42) ______A) -2 B) 2 C) 26 D) 6

43) 7(x + 6) - ( 6x - 9) = -6 43) ______A) -57 B) 21 C) 45 D) 57

44) -6x + 2( 3x - 5) = -7 - 3x 44) ______A) 1 B) C)

-

D) -1

45) 8y + 4( 4 + y) = 3(y - 1) + 10y 45) ______A) 5 B) -5 C) 19 D) -19

46) 6[ -3x - 6 - 5(x + 1)] = 6x - 5 46) ______A) B)

-

C) D)

-

47) 2{ 5 - [ 5(k + 2) - 4(k + 2)]} = -3k 47) ______A) - 1 B) - 4 C) - 6 D)

-

48) -{5(d + 2) - 6[3d - 2(3d + 8)] - 7} = -18d + 51 48) ______A) B) -30 C) D) 35

49)

- 5 = 1

49) ______

A) 24 B) -24 C) -16 D) 16

50)

(a - 1) = -3

50) ______

A) -16 B) 14 C) 16 D) -14

51)

(r + 6) = (r + 8)

51) ______

A) 4 B) -4 C) 6 D) 36

52)

x - x = 2

52) ______

A) -30 B) 30 C) -60 D) 60

53)

b - 10 = -4

53) ______

A) -98 B) 98 C) 96 D) -96

54)

(7 - x) = x

54) ______

A) B) 7 C) 4 D) -4

55)

(y - 2) = 1 - 3y

55) ______

A) B) C)

-

D)

56) 23.9 = -22.4 - n 56) ______A) 1.5 B) 46.3 C) -46.3 D) -1.5

57) 1.1x + 4.1 = 0.3x + 0.74 57) ______A) -4.19 B) -4.158 C) 0.238 D) -4.2

58) 0.80x - 0.40( 40 + x) = 0.20( 40) 58) ______A) 60 B) 30 C) 70 D) 50

59) -0.05y + 0.13( 1000 - y) = 0.07y 59) ______A) 325 B) 520 C) 32.5 D) 1040

60) 0.4( 11x - 6000) = -0.6( 20x + 4000) + 19.3x 60) ______A) 0 B) 1C) 0.34482759 D) -827.59

Indicate whether the equation is conditional, an identity, or a contradiction.61) 4( 2x - 6) = 8x - 24 61) ______

A) contradiction B) conditional C) identity

62) 2x = 2x 62) ______A) contradiction B) identity C) conditional

63) 6x + 18 = 6(x + 3) + 8 63) ______A) identity B) contradiction C) conditional

64) 2x + 6x = 7x 64) ______A) identity B) conditional C) contradiction

Solve the problem.65) A solution is being heated in a controlled lab environment. The

temperature of the solution is estimated by the equation T = 2x + 7where T is the temperature of the solution and x is the time in minutesstarting with when the solution was subjected to the heat. What will bethe temperature of the solution when minutes?

65) ______

A) 9 B) 3 C) 17 D) 45

66) The average price (in dollars) to rent a studio in a certain city can beapproximated by the equation where t is the number of

years

since1990.

Solvethisequationfor tand usethe newequationtodetermineapproximatelywhatyear itwill bewhen theaverageprice ofa studioin thiscityreaches$1532.40.

66) ______

A) 2017 B) 2016 C) 2019 D) 2018

Solve the equation for the specified symbol.67)

V = for⊙ 67) ______

A) ⊙ =

B) ⊙ =

C) ⊙ =

D) ⊙ =

68) △ = + □ for⊙ 68) ______

A) ⊙ =

B) ⊙ =C) ⊙ =

D) ⊙ =

Solve the problem.69) Mr. Brown just fenced in an area for his dog. He used exactly 40 feet of

fencing for the rectangular shaped enclosure. If the length of theenclosure is 14 feet, what is its width? The formula for the perimeter ofa rectangle is P = 2l + 2w.

69) ______

A) 12 ft B)

2 ft

C) 34 ft D) 6 ft

70) Josh makes a $2500, 4% simple interest personal loan to his friendSean for a period of 7 years. When Sean settles his loan at the end ofthe 7 years, how much money, in total, must he pay Josh? The formulafor simple interest is

70) ______

A) $700 B) $72,500 C) $2528 D) $3200

71) A family is preparing an area in their yard for playground equipment.They have marked an area that is 15 feet by 24 feet. They want to fillthe area with wood chips to a depth of 6 inches. Find the volume ofwood chips required in cubic feet.

71) ______

A) 720 cubic ft B) 90 cubic ftC) 180 cubic ft D) 2160 cubic ft

72) In Little City Park there is a circular fountain. The park district hasdecided to plant a circular garden around the fountain. In order topurchase the appropriate number of plants, they must determine thearea of the garden in square feet. Find the area rounded to two decimal

places, if necessary. The formula for the area of a circle is Use3.14 as an approximation for π.

72) ______

A) 2464.9 sq ft B) 1570 sq ftC) 785 sq ft D) 3140 sq ft

73) Find the total cost of tiling a rectangular floor that is 5 meters long and10 meters wide if it costs to tile one square meter. Round to thenearest cent. The formula for the area of a rectangle is

73) ______

A) $448.00 B) $268.80 C) $50.00 D) $134.40

74) A canvas for a mural is in the shape of a right triangle. Before the muralcan be painted, the canvas must be varnished. The base of the mural is3 meters and the height of the mural is How many cans ofvarnish will you need if each can covers 10 square meters? The formula

for the area of a right triangle is

74) ______

A) 7 cans of varnish B) 2 cans of varnishC) 17 cans of varnish D) 4 cans of varnish

75) Find the amount in a savings account at the end of 4 years if theamount originally deposited (the principal) is $5000 and the interestrate is 6.5% compounded quarterly.

The formula for the final amount is A = P .

75) ______

A) $ 81,300.00 B) $ 6471.11C) $ 5333.01 D) $ 7118.22

Evaluate the formula for the values given.76) P = 2L + 2W when L = 3 and W = 5 76) ______

A) P = 8 B) P = 11 C) P = 30 D) P = 16

77)

A = bh when b = 8 and h = 6

77) ______

A) A = 24 B) A = 48 C) A =

14

D) A = 14

78) d = rt when r = 9 and t = 9 78) ______A) d = 90 B) d = 72 C) d = 81 D) d = 0.1

79)

L = when P = 20 and W = 3

79) ______

A) L = 7 B) L = 17 C) L = 8.5 D) L = 10

80)

B = when V = 12 and h = 6

80) ______

A) B = 6 B) B = 72 C) B = 2 D) B = 18

81)

t = when I= 72.80, p = 260.00, and r = 0.0 4

81) ______

A) t = 0.7 B) t = 7 C) t =757.12

D) t =7.5712

82)

h = when A = 60, b = 12, and B = 18

82) ______

A) h = 45 B) h = 4 C) h = 15 D) h = 216

Solve the equation for y.83) x = 5y + 3 83) ______

A)

y = x - 3

B) y = 5x - 3

C)

y = x -

D)

y = x -

84) 3x - 5y = 1 84) ______A)

y = x +

B)

y = x +C)

y = x -

D) y = 3x - 1

85) 3x + 2y = 13 85) ______A) y = 3x - 13 B)

y = x +C) y

=

x -

D) y= -

x+

86) 3x + 5y = 9x + 4 86) ______A)

y = x +

B)

y = x +C) y = 6x + 12 D)

y = x -

Solve the equation for the indicated variable.87)

A = bh, for b

87) ______

A)

b =

B)

b =

C)

b =

D)

b =

88) S = 2πrh + 2πr2, for h 88) ______A)

h =

B) h = 2π(S - r)

C)

h = - 1

D) h = S - r

89)

V = Bh, for h

89) ______

A)

h =

B)

h =

C)

h =

D)

h =

90) P = + + , for 90) ______

A) S3 = S1 + P - S2 B) S3 = P - S1 - S2C) S3 = S1 + S2 - P D) S3 = P + S1 + S2

91)

F = C + 32, for C

91) ______

A)

C =

B)

C = (F - 32)C)

C = (F - 32)

D)

C =

92) d = rt, for r 92) ______A)

r =

B) r = d - t C)

r =

D) r = d t

93) P = 2L + 2W, for W 93) ______A)

W =

B)

W =C) W = P - 2 L D) W = P - L

1) C2) B3) D4) D5) A6) C7) B8) B9) A

10) D11) D12) A13) B14) C15) C16) D17) A18) A19) A20) B21) D22) C23) C24) B25) C26) A27) B28) C29) D30) C31) D32) A33) C34) D35) D36) A37) A38) D39) C40) C41) B42) C43) A44) A45) C46) D47) C48) B49) A50) D51) B

52) B53) C54) C55) A56) C57) D58) A59) B60) A61) C62) B63) B64) B65) C66) B67) B68) B69) D70) D71) C72) C73) A74) B75) B76) D77) A78) C79) A80) A81) B82) B83) D84) C85) D86) B87) D88) A89) D90) B91) B92) C93) A

MULTIPLE CHOICE. Choose the one alternative that best completes the statement oranswers the question.Let x represent the number. Write the English phrase as an algebraic expression.

1) The sum of 52 and a number 1) _______A) 52x B) 52 C) 52 - x D) 52 + x

2) A number increased by 111 2) _______A) x - 111 B) 111 C) x + 111 D) 111x

3) 63 less than a number 3) _______A) x + 63 B) 63x C) 63 - x D) x - 63

4) The quotient of a number and 31 4) _______A) B) C) 31 - x D) 31x

5) 18 less than the product of 10 and a number 5) _______A) 10x - 18 B)

- 18C) 10 + x - 18 D) 18 - 10x

6) The sum of twice a number and 37 6) _______A) 74 + x B) 2(x +

37)C) 2 + x +

37D) 2x + 37

7) Twice the sum of a number and 44 7) _______A) 44(x + 2) B) 2x + 44 C) 2(x +

44)D) 88 + x

8) Seven times the difference of a number and 20 8) _______A) 7x - 20 B) 7( 20 - x) C) 7(x - 20) D)

Write a mathematical expression for the situation described.9) Two numbers have a sum of 56. If one number is q, express the other

number in terms of q.9) _______

A) 56 - q B) q + 56 C) 56 - 2q D) q - 56

10) A 33-centimeter piece of rope is cut into two pieces. If one piece is zcentimeters long, express the other length as an algebraic expression inz.

10) ______

A) (z - 33) cm B) (z + 33) cmC) ( 33 - z) cm D) ( 33 - 2z) cm

11) In the race for Student Body President, Jose received 170 more votesthan Angela. If Angela received x votes, how many votes did Josereceive?

11) ______

A) ( 170x) votes B) ( 170 - x) votesC) (x + 170) votes D) (x - 170) votes

12) During a walk-a-thon, Rosilyn walked 6 fewer laps than June walked. If June

walked blaps,howmanylaps didRosilynwalk?

12) ______

A) ( 6 - b) laps B)

lapsC) (b + 6) laps D) (b - 6) laps

13) Suppose the regular price of a car is c dollars. Write a mathematicalexpression for the following: "I'll give you one-seventh off regularprice."

13) ______

A)

c

B)

c ÷

C)

c -

D) 6c

14) Suppose Ella is x years of age. Write a mathematical expression for thefollowing: "Ella's mother is three times the sum of Ella's age and 10.

14) ______

A) 3x + 10 B) 3(x +10)

C) x + 30 D) 3x - 10

Solve the problem.15) Angles A and B are complementary angles. Determine the measures of

angles A and B if angle B is 2 less than three times the size of angle A.15) ______

A) A = 22°; B = 68° B) A = 31°; B = 59°C) A = 22°; B = 64° D) A = 23°; B = 67°

16) The sum of the angles of a triangle is 180°. Find the three angles of thetriangle if one angle is twice the smallest angle and the third angle is12° greater than the smallest angle.

16) ______

A) 34°, 68°, 78° B) 42°, 84°, 54°C) 36°, 48°, 96° D) 36°, 72°, 72°

17) A bookcase is to be constructed as shown in the figure below. Theheight of the bookcase is 3 feet longer than the length of a shelf. If 18feet of lumber is available for the entire unit (including the shelves, butNOT the back of the bookcase), find the length and height of the unit.

17) ______

A) length = 2 ft; height = 6 ft B) length = 7.5 ft; height = 9ft

C) length = 2 ft; height = 5 ft D) length = 3 ft; height = 6 ft

18) An auto repair shop charged a customer $ 417 to repair a car. The billlisted $ 67 for parts and the remainder for labor. If the cost of labor is $50 per hour, how many hours of labor did it take to repair the car?

18) ______

A) 8 hr B) 6 hr C) 7.5 hr D) 7 hr

19) After a 13% price reduction, a boat sold for $ 26,970. What was theboat's price before the reduction? (Round to the nearest cent, ifnecessary.)

19) ______

A) $ 31,000 B) $ 30,476.10C) $ 207,461.54 D) $ 3506.10

20) Inclusive of a 6.3% sales tax, a diamond ring sold for $ 1700.80. Findthe price of the ring before the tax was added. (Round to the nearestcent, if necessary.)

20) ______

A) $ 1600 B) $ 1807.95 C) $ 107.15 D) $ 1593.65

21) A 9-ft. board is cut into 2 pieces so that one piece is 5 feet longer than3 times the shorter piece. If the shorter piece is x feet long, find thelengths of both pieces.

21) ______

A) shorter piece: 15 ft; longer piece: 32 ftB) shorter piece: 1 ft; longer piece: 8 ftC) shorter piece: 22 ft; longer piece: 27 ftD) shorter piece: 4.5 ft; longer piece: 27 ft

22) The president of a certain university makes three times as much moneyas one of the department heads. If the total of their salaries is $190,000,find each worker's salary.

22) ______

A) president's salary = $142,500; department head's salary =$47,500

B) president's salary = $47,500; department head's salary =$142,500

C) president's salary = $95,000; department head's salary = $47,500D) president's salary = $14,250; department head's salary = $4750

23) The population of a town increased by 20% in 5 years. If thepopulation is currently 36,000, find the population of this town 5 yearsago. (Round to the nearest whole, if necessary.)

23) ______

A) 180,000 B) 30,000 C) 7200 D) 28,800

24) The three most prominent buildings in a city, Washington Center,Lincoln Galleria, and Jefferson Square Tower, have a total height of 1800feet. Find the height of each building if Jefferson Square Tower is twiceas tall as Lincoln Galleria and Washington Center is 240 feet taller thanLincoln Galleria.

24) ______

A) Washington Center: 500 ftLincoln Galleria: 260 ftJefferson Square Tower: 1040 ft

B) Washington Center: 400 ftLincoln Galleria: 100 ftJefferson Square Tower: 1300 ft

C) Washington Center: 680 ftLincoln Galleria: 170 ftJefferson Square Tower: 950 ft

D) Washington Center: 340 ftLincoln Galleria: 100 ftJefferson Square Tower: 1360 ft

25) In a recent International Gymnastics competition, the U.S., China, andRomania were the big winners. If the total number of medals won byeach team are three consecutive integers whose sum is 39 and the U.S.won more than China who won more than Romania, how many medalsdid each team win?

25) ______

A) U.S.: 41 medals; China: 40 medals; Romania: 39 medalsB) U.S.: 14 medals; China: 13 medals; Romania: 12 medalsC) U.S.: 12 medals; China: 11 medals; Romania: 10 medalsD) U.S.: 15 medals; China: 14 medals; Romania: 13 medals

26) Stephanie is a waitress and she is paid $2.96 per hour plus 15% of thetotal cost of the food and beverages she serves. If during a 7-hourshift she earns $200, what was the total cost of the food and beveragesshe served?

26) ______

A) $155.90 B) $210.92 C) $1195.20 D) $1471.47

27) Morgan goes out to lunch and only has $15. If she must pay 5%sales tax and wants to leave a 12% tip on the total bill (meal plus tax),what is the maximum price of the lunch she can order?

27) ______

A) -$2.06 B) $16.60 C) $14.10 D) $12.76

28) Two cars start from the same point and travel in the same direction. Ifone car is traveling 55 miles per hour and the other car is traveling at50 miles per hour, how far apart will they be after 6.3 hours?

28) ______

A) 315 miles B) 661.5 milesC) 346.5 miles D) 31.5 miles

29) Two trains leave a train station at the same time. One travels east at 11miles per hour. The other train travels west at 7 miles per hour. In howmany hours will the two trains be 34.2 miles apart?

29) ______

A) 2.4 hours B) 1.9 hours C) 1 hours D) 3.8 hours

30) Ken and Kara are 34 miles apart on a calm lake paddling toward eachother. Ken paddles at 3 miles per hour, while Kara paddles at 6 milesper hour. How long will it take them to meet?

30) ______

A)

3 hours

B)

4 hoursC)

11 hours

D) 25 hours

31) A freight train leaves a station traveling at 32 km/h. Two hours later, apassenger train leaves the same station traveling in the same direction at52 km/h. How long does it takes the passenger train to catch up to thefreight train?

31) ______

A) 3.2 hours B) 2.2 hours C) 4.2 hours D) 5.2 hours

32) Five friends drove at an average rate of 60 miles per hour to a weekendretreat. On the way home, they took the same route but averaged 65miles per hour. What was the distance between home and the retreat ifthe round trip took 10 hours?

32) ______

A) 624 miles B)

5 milesC) 7800 miles D) 312 miles

33) Gary can hike on level ground 3 miles an hour faster than he can onuphill terrain. Yesterday, he hiked 28 miles, spending 2 hours on levelground and 5 hours on uphill terrain. Find his average speed on levelground.

33) ______

A) 4 mph B)

6 mph

C)

6 mph

D)

3 mph

34) During a hurricane evacuation from the east coast of Georgia, a familytraveled west. For part of the trip, they averaged butas the congestion got bad, they had to slow to If the total timeof travel was 7 hours, how many miles did they drive at the reducedspeed?

34) ______

A) 25 miles B) 40 miles C) 35 miles D) 30 miles

35) Richard works for a company that pays $28 per hour for the first fortyhours and $42 per hour for each hour in the week worked above the 40hours. If he earned $1834 this week, how many overtime hours didhe work?

35) ______

A) 16 hours B) 57 hoursC) 25.5 hours D) 17 hours

36) Jamie sells handcrafted dolls at local art fairs. She sells small dolls for$30 and large dolls for $60. At the end of the Little Town Art Fair, shedetermined that the total amount she made by selling 16 dolls was$660. Determine the number of small and the number of large dolls thatshe sold.

36) ______

A) 10 small, 6 large B) 9 small, 7 largeC) 6 small, 10 large D) 7 small, 9 large

37) Kevin invested part of his $10,000 bonus in a certificate of deposit thatpaid 6% annual simple interest, and the remainder in a mutual fund thatpaid 11% annual simple interest. If his total interest for that year was$700, how much did Kevin invest in the mutual fund?

37) ______

A) $3000 B) $1000 C) $2000 D) $8000

38) How much pure acid should be mixed with 8 gallons of a 50% acidsolution in order to get an 80% acid solution?

38) ______

A) 4 gal B) 12 gal C) 20 gal D) 32 gal

39) The owners of a candy store want to sell, for $6 per pound, a mixture ofchocolate-covered raisins, which usually sells for $3 per pound, andchocolate-covered macadamia nuts, which usually sells for $8 per

pound.The

y havea

barrel oftheraisins.Howmanypoundsof thenutsshouldthey mixwith thebarrel ofraisins sothat theyhit theirtargetvalue of$6 perpoundfor themixture?

39) ______

A) 56 lb B) 60 lb C) 64 lb D) 52 lb

40) The manager of a coffee shop has one type of coffee that sells for $10per pound and another type that sells for $13 per pound. The managerwishes to mix 30 pounds of the $13 coffee to get a mixture that willsell for $12 per pound. How many pounds of the $10 coffee should beused?

40) ______

A) 22.5 lb B) 15 lb C) 45 lb D) 7.5 lb

41) A chemist needs 180 milliliters of a 35% solution but has only 23%and 59% solutions available. Find how many milliliters of each thatshould be mixed to get the desired solution.

41) ______

A) 50 ml of 23%; 130 ml of59%

B) 130 ml of 23%; 50 ml of59%

C) 60 ml of 23%; 120 ml of59%

D) 120 ml of 23%; 60 ml of59%

42) A chemist needs 9 liters of a 50% salt solution. All she has available is a20% salt solution and a 70% salt solution. How much of each of the twosolutions should she mix to obtain her desired solution?

42) ______

A) 4.5 L of 20%; 4.5 L of 70% B) 3.6 L of 20% ; 5.4 L of 70%C) 2.7 L of 20%; 6.3 L of 70% D) 1.8 L of 20%; 7.2 L of 70%

43) A beverage wholesaler wants to create a new punch. He will mix fruitjuice worth $5 a gallon and rum worth $10 a gallon. He wants toobtain 125 gallons of punch worth $7 a gallon. How much of eachbeverage should he use?

43) ______

A) 75 gal of juice; 50 gal of rumB) 112.5 gal of juice; 12.5 gal of rumC) 87.5 gal of juice; 37.5 gal of rumD) 100 gal of juice; 25 gal of rum

44) Max needs to drain his 12,000 gallon inground pool to put in a newliner. He has a pump that will drain 14 gallons per minute and themain pump will drain 26 gallons per minute. If both pumps areturned on at the same time and run until the pool is empty, how longwill it take for the pool to be drained?

44) ______

A)

40 minutes = 14 hours

B) 5 minutes

C) 300 minutes = 5 hours D)

461 minutes = 7hours

45) Chelsea works two part time jobs. One job pays $6.75 per hour andthe other pays $9.50 per hour. Last week Chelsea worked for 23hours and earned $193.75. How many hours did she work at each job.

45) ______

A) 9 hours at $6.75 per hour and 14 hours at $9.50 per hourB) 14 hours at $6.75 per hour and 9 hours at $9.50 per hourC) 11.9 hours at $6.75 per hour and 11.1 hours at $9.50 per hourD) 11 hours at $6.75 per hour and 12 hours at $9.50 per hour

1) D2) C3) D4) B5) A6) D7) C8) C9) A

10) C11) C12) D13) A14) B15) D16) B17) C18) D19) A20) A21) B22) A23) B24) A25) B26) C27) D28) D29) B30) A31) A32) D33) C34) D35) D36) A37) C38) B39) B40) B41) D42) B43) A44) C45) A

MULTIPLE CHOICE. Choose the one alternative that best completes the statement oranswers the question.Solve the inequality.

1) a + 4 < 7 1) _______A) a < 11 B) a > 3 C) a > 11 D) a < 3

2) 4x + 7 < 43 2) _______A) x > 9 B) x < 9 C) x < 7 D) x > 7

3) 5z + 6 > 4z + 13 3) _______A) z > 19 B) z < 19 C) z > 7 D) z < 7

4) 8c - 7 ≤ 7c - 8 4) _______A) c ≥ -1 B) c ≥ -15 C) c ≤ -1 D) c < -1

5) -11 - 10x - 11 ≥ -11x - 12 5) _______A) x ≥ 10 B) x > -10 C) x < -10 D) x ≤ 10

6) 8 - 2( 3 - x) ≤ 12 6) _______A) x ≤ 5 B) x < 5 C) x ≥ 5 D) x ≤ 6

7) -15x - 9 ≤ -3( 4x - 2) 7) _______A) x ≥ -5 B) x ≤ -5 C) x > -5 D) x < -5

Solve the problem.8) Shaundra has $3.65 to make a long distance call at a pay phone.The

rates listed on the phone for a long distance call are $2.25 for the firstthree minutes and $0.35 for each additional minute or portion of aminute. Find the maximum number of minutes Shaundra can stay onthe line.

8) _______

A) 10 minutes B) 2 minutesC) 7 minutes D) 4 minutes

9) Michael scored 68, 88, and 91 on three algebra tests. What must hescore on the fourth test in order to have an average grade of at least 85?

9) _______

A) 29 B) 93 C) 62 D) 82

10) Greg is opening a car wash. He estimates his cost equation as C = 8000+ 0.08x and his revenue equation as where x is the number ofcars washed in a six month period. Find the minimum number of carsthat need to be washed in a six month period to make a profit.

10) ______

A) 3939 cars B) 4939 carsC) 49,383 cars D) 494 cars

Solve the inequality and graph the solution on the number line.11) a + 1 < 0 11) ______

A)

B)

C)

D)

12) 3x + 7 < 22 12) ______

A)

B)

C)

D)

13) 5z + 1 > 4z + 4 13) ______

A)

B)

C)

D)

14) 3c + 3 ≤ 2c + 2 14) ______

A)

B)

C)

D)

15) 6 - 2( 2 - x) ≤ 4 15) ______

A)

B)

C)

D)

16) -25r - 20 ≤ -5( 4r + 10) 16) ______

A)

B)

C)

D)

17)

≥ 1 +

17) ______

A)

B)

C)

D)

Solve the inequality and give the solution in interval notation.18) a - 6 < -7 18) ______

A) (-∞, -13) B) (-∞, -13] C) (-1, ∞) D) (-∞, -1)

19) 4x + 10 < 42 19) ______A) ( 8, ∞) B) [ 8, ∞) C) (-∞, 8] D) (-∞, 8)

20) 3z + 2 > 2z + 8 20) ______A) (6, ∞) B) [6, ∞) C) ( 10, ∞) D) (-∞, 6]

21) -6c - 1 ≤ -7c - 3 21) ______A) [ -2, ∞) B) (-∞, -2] C) (-∞, -2) D) [ -4, ∞)

22) 5 - 3( 1 - x) ≤ 11 22) ______A) (-∞, 3] B) (-∞, 4] C) [3, ∞) D) (-∞, 3)

23) -30r + 15 ≤ -5( 5r + 1) 23) ______A) [4, ∞) B) ( 4, ∞) C) (-∞, 4) D) (-∞, 4]

24)

≥ 2 +

24) ______

A) [ -6, ∞) B) [ 6, ∞) C) ( 6, ∞) D) (-∞, 6]

25)

≥ +

25) ______

A) [ 14, ∞) B) (-∞, 14) C) ( 14, ∞) D) (-∞, 14]

Find the solution set for the inequality.26) a - 3 < -6 26) ______

A) {a|a > -9} B) {a|a > -3}C) {a|a < -9} D) {a|a < -3}

27) 4x + 7 < 39 27) ______A) {x|x < 7} B) {x|x < 8} C) {x|x >

7}D) {x|x >

8}

28) 5z - 5 > 4z - 9 28) ______A) {z|z < -14} B) {z|z < -4}C) {z|z > -14} D) {z|z > -4}

29) -2c + 6 ≤ -3c + 7 29) ______A) {c|c ≥ 1} B) {c|c ≥ 13 } C) {c|c ≤ 1}

D) {c|c <1}

30) -3 - 10x - 8 ≥ -11x - 1 30) ______A) {x|x ≤ 10} B) {x|x > -10 }C) {x|x ≥ 10 } D) {x|x < -10 }

31) 6 - 2( 2 - x) ≤ -8 31) ______A) {x|x ≥ -5} B) {x|x ≤ -4}C) {x|x ≤ -5} D) {x|x < -5}

32) -24x + 24 ≤ -6( 3x - 8) 32) ______A) {x|x < -4} B) {x|x ≥ -4}C) {x|x > -4} D) {x|x ≤ -4}

33)

(x + 5) > (x + 4)

33) ______

A) {x|x < - 11} B) {x|x < 11}C) {x|x > - 11} D) {x|x > 11}

34)

- >

34) ______

A)

{x|x < - }

B)

{x|x < }C)

{x|x > }

D) {x|x > 6}

Solve the inequality and give the solution in interval notation.35) -2 < x + 1 ≤ 6 35) ______

A) ( -3, 5] B) [ -1, 7) C) [ -3, 5) D) ( -1, 7]

36) 6 ≤ 2x - 2 ≤ 8 36) ______A) ( -5, -4) B) ( 4, 5) C) [ 4, 5] D) [ -5, -4]

37) -15 ≤ -2x - 5 < -13 37) ______A) [ -5, -4) B) [ 4, 5) C) ( -5, -4] D) ( 4, 5]

38)

2 ≤ x - 3 < 7

38) ______

A) (7, 14] B) [7, 14) C) (7, 8] D) [7, 8)

39) 7x + 5 ≥ 4 and 9x - 4 < 9 39) ______A)

( - ,

]

B)

[ - ,

)

C)

( - ,

]

D)

[ - ,

)

Solve the inequality and give the solution set.40)

0 ≤ < 3

40) ______

A)

{x|- < x ≤ }

B)

{x|- < x < }C)

{x|- ≤ x ≤ }

D)

{x|- ≤ x < }

41)

< < 7

41) ______

A) {x| -26 < x < - 6} B) {x| -26 < x < -14}C) {x| 6 < x < 26} D)

{x| -26 < x < - }

42)

-4 < <

42) ______

A)

{x| - < x < }

B)

{x| - < x < }C)

{x| - < x < }

D)

{x| - < x < }

43) x ≤ 4 and x ≥ -3 43) ______A) {x| -3 ≤ x ≤ 4} B) {x| -3 < x < 4}C) {x| x ≤ -3} D) { }

44) x ≤ -2 and x ≥ 5 44) ______A) {x| -2 < x < 5} B) {x| -2 ≤ x ≤ 5}C) {x| x ≤ -2} D) { }

45) x - 1 ≤ 8 and x - 1 > -6 45) ______A) {x | -7 < x ≤ 7} B) {x | -7 ≤ x < 7}C) {x | -5 < x ≤ 9} D) {x | -5 ≤ x < 9}

Solve the problem.46) The water acidity in a pool is considered normal when the average pH

reading of three daily measurements is greater than 7.2 and less than7.8. If the first two pH reading are 7.25 and 7.85, find the range of pHvalues for the third reading that will result in the acidity level beingnormal.

46) ______

A) 7.7 < x < 9.5 B) 6.5 < x < 8.3C) 7.2 < x < 7.8 D) 7.1 < x < 8.9

47) Ashley's grades on her first 3 exams are 85, 78, and 80. An averagegreater than or equal to 80 and less than 90 will result in a final grade ofB. What range of grades on Ashley's fourth and final exam will resultin a final grade of B? The maximum grade is 100.

47) ______

A) 77 ≤ x < 117 B) 67 ≤ x ≤ 90C) 77 ≤ x ≤ 100 D) Impossible to get a B.

48) A velocity ≥ 0 indicates that the object is traveling upward and avelocity ≤ 0 indicates that the object is traveling downward. An objectis projected upward and v Determine theinterval when the object is traveling upward.

48) ______

A) [ 7, 10] B) [0, 6] C) [0, 7] D) [0, 9.8]

49) A velocity ≥ 0 indicates that the object is traveling upward and avelocity ≤ 0 indicates that the object is traveling downward. An objectis projected upward and v(t) = -9t + 55.8, 0 ≤ t ≤ 12. Determine theinterval when the object is traveling downward.

49) ______

A) [ 6.2, 9] B) [ 5.2,9.2]

C) [0, 6.2] D) [ 6.2, 12]

Find the solution set for the inequality.50) x ≤ 2 or x ≥ 1 50) ______

A) {x| 1 < x < 2} B) {x|x ≤ 1 or x ≥ 2}C) {x| 1 ≤ x ≤ 2} D) ℛ

51) x ≤ -2 or x ≥ 5 51) ______A) {x| -2 < x < 5} B) {x|x ≤ -2 or x ≥ 5}C) {x| -2 ≤ x ≤ 5} D) ℛ

52) 6x - 8 ≤ 16 or -x + 7 < -9 52) ______A) {x|x ≤ 4 or x > 16} B)

{x|x ≤ or x > 16}C) {x|4 ≤ x < 16} D)

{x| ≤ x < 16}

Solve the inequality and give the solution in interval notation.53) x + 6 < 8 or -6x < -24 53) ______

A) (-∞, ∞) B) (-∞, 2) ∪ ( 4, ∞)C) (-∞, 4) D) ( 2, 4)

54) -5x > 5 or x + 5 > 3 54) ______A) (-2, ∞) B) (-∞, -2) ∪ ( -1, ∞)C) (-∞, ∞) D) ( -2, -1)

55) 9x - 8 > 28 or -x + 4 ≥ -8 55) ______A) (-∞, ∞) B) ( 4, 12] C) ( 4, ∞) D) [ 4, 12)

Solve the problem.56) An Algebra class had 5 tests over the course of the semester. The table

gives the average and high score for each of the 5 tests.

For what tests was the high score greater than 97 or the average greaterthan 80.

56) ______

A) Test 1, Test 2, Test 3, Test 4 B) Test 1, Test 4C) Test 1, Test 2, Test 4 D) None

57) An Algbra class had 5 tests over the course of the semester. The table giv es the

averageand highscore foreach ofthe 5tests.

For whattests wasthe highscore lessthan 96or theaverageless than70.

57) ______

A) Test 2, Test 3, Test 5 B) Test 1, Test 4C) Test 2, Test 5 D) Test 3

58) There are no exercises for this objective. 58) ______

Find the solution set for the equation.59) |x| = 3 59) ______

A) { -3, 3} B) { -3} C) { 3} D) { 9}

60) |r - 5| = 6 60) ______A) { -1, 11} B) { 1, 11} C) { -11} D) ∅

61) |t + 3| = 0 61) ______A) { -3} B) { 3} C) {0} D) { 3, -3}

62) | 7m + 2| = 6 62) ______A) { 2, - 4 } B)

{ - ,}

C)

{ , -

}

D) ∅

63) | 3m + 4| + 6 = 12 63) ______A)

{ , - }

B)

{ , - }C)

{ - , }

D) ∅64)

= 11

64) ______

A) { -4, 4} B) { -4, 0} C) { 4, 0} D) ∅65) = 18 65) ______

A) {-9, 0} B) {-7, 5} C) {-7, 0} D) {-9, 3}

66)

3 + = 5

66) ______

A) {-6, 2} B) {-6, 6} C) {-2, 2} D) {-2, 6}

67) | 3( 3x + 5)| = 0 67) ______A)

{- }

B)

{- }

C)

{- }

D)

{ }

Find the solution set for the inequality.68) |x| < 5 68) ______

A) {x|0 ≤ x < 5} B) {x| -5 < x < 5}C) {x|x < -5 or x > 5} D) {x|x > 5 and x < -5}

69) |r + 6| < 5 69) ______A) {r| 1 < r < 11} B) {r|r < -11 or r > -1}C) {r| -11 < r < -1} D) {r|r < 1 or r > 11}

70) | 2m + 3| < 4 70) ______A)

{m| - <m < }

B)

{m|m < - or m > }C)

{m| - <m < }

D)

{m|m < - or m > }

71) | 2m + 3| + 5 ≤ 12 71) ______A) {m|m ≤ - 2 or m ≥ 5} B) {m| - 2 ≤ m ≤ 5}C) {m| - 5 ≤ m ≤ 2} D) {m|m ≤ - 5 or m ≥ 2}

72)

< 5

72) ______

A) {y| -6 < y < 0} B) {y|y < -6 or y > 0}C) {y| -6 < y < 6} D) {y|0 < y < 6}

73) | 3(x + 1) + 9 | ≤ 15 73) ______A) {x|x ≤ -7 or x ≥ 3} B) {x|-7 ≤ x ≤ 3}C) {x|x ≤ -9 or x ≥ 1} D) {x|-9 ≤ x ≤ 1}

74)

5 + < 8

74) ______

A) {x|-4 < x < 4} B) {x|x < -4 or x > 8}C) {x|-8 < x < 4} D) {x|-4 < x < 8}

Solve the problem.

75) A landscaping company sells 30-pound bags of top soil. The actualweight x of a bag, however, may differ from the advertised weight by asmuch as 0.75 pound. The actual weight of the bag of topsoil, x, can bedescribed by the inequality . Give the solution of theinequality in interval notation.

75) ______

A) [ 29.25, 30.75] B) [ -29.25, 30.75]C) (-∞, 29.25] ∪ [ 30.75, ∞) D) ( 29.25, 30.75)

76) A landscaping company sells mulch by the cubic yard. They use atractor with one yard bucket to put the mulch into trucks or trailers.The actual amount x in each scoop, however, may differ from one cubicyard by as much as 0.20 yard. The actual amount x in each scoop, can bedescribed by the inequality . What is the largest amountof mulch you might get when purchasing one cubic yard.

76) ______

A) 1.4 cubic yd B) 1 cubic ydC) 0.8 cubic yd D) 1.2 cubic yd

77) Give the inequality that involves an absolute value that has the solutionset {x| -8 < x < 8}.

77) ______

A) |x| > 8 B) |x| < -8 C) |x| < 8 D) |x| > -8

Find the solution set for the inequality.78) |x| > 6 78) ______

A) {x| -6 < x < 6} B) {x|x > 6 and x < -6}C) {x|x < -6 or x > 6} D) {x|0 ≤ x < 6}

79) |r - 4| > 3 79) ______A) {r|r < 1 or r > 7} B) {r| -7 < r < -1}C) {r|r < -7 or r > -1} D) {r| 1 < r < 7}

80) | 4m + 6| > 4 80) ______A)

{m|m < - or m > -

}

B)

{m| - <m < - }

C)

{m|m < or m > }

D)

{m| <m < }

81) | 5m + 3| + 4 ≥ 9 81) ______A)

{m|m ≤ - or m ≥ }

B)

{m| - ≤ m ≤ }C)

{m|m ≤ - or m ≥ }

D)

{m| - ≤ m ≤ }

82)

> 11

82) ______

A) {y|y < 0 or y > 4} B) {y|y < -4 or y > 0}C) {y| -4 < y < 0} D) {y| -4 < y < 4}

83) | 3(x + 1) + 6 | ≥ 9 83) ______

A) {x|x ≤ -6 or x ≥ 0} B) {x|x ≤ -4 or x ≥ 2}C) {x|-4 ≤ x ≤ 2} D) {x|-6 ≤ x ≤ 0}

84)

5 + > 8

84) ______

A) {x|x < -4 or x > 8} B) {x|x < -8 or x > 4}C) {x|-4 < x < 4} D) {x|-4 < x < 8}

Solve the problem.85) Give the inequality that involves an absolute value that has the solution

set {x| x < -6 or x > 6}.85) ______

A) |x| < -6 B) |x| > -6 C) |x| > 6 D) |x| < 6

Solve the inequality and give the solution set.86) |x| < -2 86) ______

A) {x| -2 < x < 2} B) { -2}C) ℛ D) ∅

87) |x| > -7 87) ______A) { 7} B) {x| -7 < x < 7}C) ℛ D) ∅

88) | 2x - 3| + 2 < -4 88) ______A)

{x|x < - or x > }

B)

{x| - < x < }C) ℛ D) ∅

89) | 5x - 7| - 9 > -15 89) ______A)

{x|x < or x > }

B)

{x| < x < }C) ℛ D) ∅

90) |x - 7| ≤ 0 90) ______A) {0} B) {t| -7 ≤ x ≤ 7}C) { -7} D) { 7}

91) |x - 3| ≥ 0 91) ______A) {t| -3 ≤ x ≤ 3} B) { 3}C) { -3} D) ℛ

92) |x + 1| > 0 92) ______A) {x|x < -1 or x > -1} B) {x| -1 < x < 1}C) ℛ D) ∅

93) |x - 4| < 0 93) ______A) {x| -4 < x < 4} B) {x|x < 4 or x > 4}C) ℛ D) ∅

Find the solution set for the inequality.94) ≥ 0 94) ______

A) B)

C) ℛ D) ∅95)

< 0

95) ______

A) B)C) ℛ D) ∅

Find the solution set for the equation.96) | 8s + 6| = |s + 3| 96) ______

A)

{ , 1}

B)

{ - , - 1}C)

{ - , 1}

D) ∅97) |n + 5| = | 6 - n| 97) ______

A) {- 2} B) { 1} C)

{ }

D) ∅98)

| n + 2| = | n - 2|

98) ______

A) {16, 0} B) {16, 12} C) {10} D) ∅

1) D2) B3) C4) C5) A6) A7) A8) C9) B

10) B11) A12) A13) C14) B15) B16) A17) B18) D19) D20) A21) B22) A23) A24) B25) A26) D27) B28) D29) C30) C31) C32) B33) C34) C35) A36) C37) D38) B39) B40) D41) A42) D43) A44) D45) C46) B47) C48) C49) D50) D51) B

52) A53) B54) C55) A56) C57) A58) No Correct Answer Was Provided.59) A60) A61) A62) C63) A64) B65) D66) D67) A68) B69) C70) A71) C72) A73) D74) D75) A76) D77) C78) C79) A80) A81) A82) B83) A84) A85) C86) D87) C88) D89) C90) D91) D92) A93) D94) C95) D96) B97) C98) A