Algebra Readiness problems you can use for practice. Remember, you may not use a calculator whenyou take the assessment test. Use these problems to help get you up to speed.______________________________________________________________________________________

Simplify.

1) 23 · 52

A) 200 B) 100,000

C) 60 D) 150

2) 35 · 35

A) 12 B) 1225

C) 35 D) 70

3) 0 ÷ 59

A) 1 B) 59

C) 0 D) undefined

4) 77 ÷ 0

A) 7 B) 0

C) 1 D) undefined

5) (72 - 4) · 2

A) 18 B) 90 C) 41 D) 42

6) 12 + 9 ÷ 3 · 4 - 9

A) 63 B) 15 C) 33 D) 19

Solve.

7) Amy teaches Chinese lessons for $65 perstudent for a 6-week session. From one groupof students, she collects $1950. Find how manystudents are in the group.

A) 34 students B) 20 students

C) 30 students D) 32 students

8) Svetlana is trading her car in on a new car. Thenew car costs $25,025. Her car is worth $6998.How much more money does she need to buythe new car?

A) $18,028 B) $18,017

C) $18,027 D) $17,927

9) The seats in a lecture hall are arranged in 20rows with 8 seats in each row. Find how manyseats are in this room.

A) 152 seats B) 168 seats

C) 170 seats D) 160 seats

10) In preparation for his new job, Luke boughttwo suits at $139 a piece, six shirts at $28 apiece, two pairs of shoes at $67 a piece, fourties at $26 a piece, and five pairs of socks at $5a piece. What was the total cost of these items?

A) $709 B) $684

C) $730 D) $265

Find the perimeter and the area of the figure.

11)

12 miles

A) perimeter: 48 mi; area: 576 sq mi

B) perimeter: 48 mi; area: 144 sq mi

C) perimeter: 24 mi; area: 144 sq mi

D) perimeter: 144 mi; area: 48 sq mi

12)27 meters

9 meters

A) perimeter: 72 m; area: 486 sq m

B) perimeter: 72 m; area: 243 sq m

C) perimeter: 36 m; area: 243 sq m

D) perimeter: 243 m; area: 72 sq m

Simplify the expression.

13) -3 + 9

A) -6 B) 12

C) 6 D) -12

14) |-3.5|

A) -3.5 B) 3.5

C) 0 D) 13.5

15) -(-76)

A) -76 B) -1

C) -75 D) 76

16) -|-95|

A) -1 B) 95

C) -195 D) -95

17) 6 - 26

A) -20 B) -32

C) 32 D) 20

18) 0.5(-2 · 12)

A) 12 B) -1.2

C) -12 D) -23.5

19) -10 ÷ (-2)

A) 5 B) 4 C) 6 D) -5

20) -5 - (-24)

A) 29 B) -19

C) 19 D) -29

21) -16(-4)

A) -80 B) 80

C) 68 D) 64

22) -1.2-0.2

A) 0.6 B) -6

C) -0.6 D) 6

23) |-25| + (-10)

A) 35 B) -15

C) 15 D) -35

24) (-13) + 60 ÷ (-6)

A) 23 B) 8

C) -23 D) -8

25) -6 + (-33) - 12 + 9

A) -48 B) -24

C) 18 D) -36

26) (-4)3 - 42 ÷ (-7)

A) -58 B) -70

C) 1067 D) 70

27) (2 - 8)2 · (9 - 7)3

A) -288 B) -23,160

C) -480 D) 288

Evaluate the expression for the given replacement values.

28) x + y + z for x = -16 , y = 12, z = -1

A) 5 B) 29

C) -27 D) -5

29) x - y for x = -27, y = 18

A) 9 B) -45

C) 45 D) -9

30) xy for x = 0, y = -24

A) 24 B) -24

C) 0 D) undefined

31) xy

for x = -62, y = 1

A) 62 B) -62

C) -63 D) 63

Solve.

32) Find the sum of -25, -15, and 18.

A) 8 B) 58

C) -22 D) 28

33) Subtract 56 from 16.

A) -72 B) 72

C) 40 D) -40

34) Find the product of -45

and 29

.

A) 845 B) -

845

C) -458 D) 45

8

35) Find the quotient of -47

and 45

.

A) 57 B) 16

35

C) -1635 D) -

57

36) A diver starts at sea level and then makes 3successive descents of 24 feet. After thedescents, what is her elevation?

A) 27 feet below sea level

B) 72 feet below sea level

C) 21 feet below sea level

D) 48 feet below sea level

37) Drew has $149 in his checking account. Hewrites a check for $68, withdraws $40 from anATM, and then deposits $36. Represent thenew balance in his account by an integer.

A) $213 B) $77

C) $85 D) $157

38) A mountain in the Great Smoky MountainsNational Park has an elevation of 5651 feetabove sea level. A gap in the Atlantic Oceanhas an elevation of 24,492 feet below sea level.Represent the difference in elevation betweenthese two points.

A) 13,190 ft B) 30,143 ft

C) 35,794 ft D) 18,841 ft

39) Big Bear Lake has a maximum depth of 3999feet. The elevation of the lake's surface is 1273feet above sea level. What is the elevation(with respect to sea level) of the deepest pointin the lake?

A) 3999 feet below sea level

B) 5272 feet below sea level

C) -2726 feet below sea level

D) -6725 feet below sea level

The circle graph below shows us how an averageconsumer spends money. Use this information to answerthe question.

40) Suppose your family spent $54,000 on theitems in the graph above. How much might weexpect was spent on other?

A) $2700.00 B) $5400.00

C) $4725.00 D) $4050.00

Perform the indicated operations. Round the result to thenearest thousandth if necessary.

41) Nick is going to put insecticide on his lawn tocontrol grubworms. The lawn is a rectanglethat measures 230.9 feet by 88 feet. The amountof insecticide required is 0.02 ounces persquare foot.

a) Find the area of the lawn.b) Find how much insecticide Nick needs topurchase.

A) a) 637.8 sq ftb) 31,890 oz

B) a) 20,319.2 sq ftb) 406.384 oz

C) a) 637.8 sq ftb) 12.756 oz

D) a) 20,319.2 sq ftb) 1,015,960 oz

42) Find the exact circumference of the circle. Thenuse the approximation 3.14 for andapproximate the circumference.

11 miles

A) 22 mi, 69.08 mi

B) 121 mi, 379.94 mi

C) 11 mi, 34.54 mi

D) 22 mi, 69.3 mi

43) Find the area.

1.7 miles

4.1 miles

A) 3.485 sq mi B) 0.697 sq mi

C) 697 sq mi D) 69.7 sq mi

Find the square root.

44) 16121

A) 1611

B) 4121

C) 411 D) 11

4

45) 1100

A) 110 B) 1

20

C) 10 D) 15

46) 81

A) 6561 B) 11

C) 18 D) 9

Perform the indicated operations. Round the result to thenearest thousandth if necessary.

47) 0.48 + 2.130.3

A) 0.87 B) 0.087

C) 8.7 D) 87

48) 0.4[1.73 - (0.6)2]

A) 0.634 B) 0.548

C) 0.332 D) 0.511

49) 57.510

A) 0.575 B) 0.0575

C) 5.75 D) 575

50) 209.9 × 100

A) 20,990 B) 209,900

C) 2.099 D) 2099

51) Subtract 0.312 from 32

A) 31.788 B) 32.312

C) 31.188 D) 31.688

52) 57.64 + 82.76 + 45.917

A) 187.317 B) 186.417

C) 186.327 D) 186.317

Write the fraction or mixed number as a decimal. Ifnecessary, round to the nearest thousandth.

53) 815

A) 0.534 B) 0.532

C) 0.333 D) 0.533

54) 2325

A) 0.84 B) 0.98

C) 0.72 D) 0.92

Write the decimal as a fraction or mixed number insimplest form.

55) 39.47

A) 3947 B) 3 9471000

C) 394 710 D) 39 47

100

Write the fraction or mixed number as a decimal. Ifnecessary, round to the nearest thousandth.

56) 4 47

A) 5.75 B) 4.057

C) 2.286 D) 4.571

Write the decimal as a fraction or mixed number insimplest form.

57) 0.128

A) 116,384 B) 16

125

C) 1612 D) 1

128

Insert <, >, or = to make a true statement.

58) 36.0404 ________ 36.4040

A) < B) = C) >

The circle graph below shows us how an averageconsumer spends money. Use this information to answerthe question.

59) What fraction of spending goes for clothing,transportation, and other?

A) 1380 B) 2

5

C) 910 D) 1

5

60) What fraction of spending goes for educationand food combined?

A) 1930 B) 11

20

C) 310 D) 4

5

Solve.

61) A small airplane used 34 34

gallons on fuel on a

4 12

hour trip. How many gallons of fuel were

used for each hour?

A) 156 38

gal B) 7 1318

gal

C) 15 49

gal D) 7 519

gal

62) A carpenter cuts a piece 1 12

feet long from a

cedar plank that is 18 feet long. How long isthe remaining piece?

A) 16 feet B) 16 12

feet

C) 17 12

feet D) 17 feet

Perform the indicated operation. Simplify your answers.

63) Find the average of 45

, 56

, and 17

.

A) 37370 B) 373

420

C) 373210 D) 373

630

64) 49

2÷ 4

9-

114

A) 22447 B) 224

423

C) 47126 D) 376

5103

Perform the indicated operation. Simplify your answers.

65) 23

2+

12

3

A) 4172 B) 59

72

C) 1124 D) 25

36

Perform the indicated operation. Simplify your answers.

66) 85

÷ 107

·92

A) 12625 B) 72

7

C) 58 D) 56

225

67) 25

3

A) 8125 B) 3 2

5

C) 85 D) 125

8

68) 13

· 8 12

-16

A) 259 B) 41

24

C) 436 D) 47

24

69)

16

- 7 37

A) 9 37 B) 8 4

7

C) 9 47 D) 15 4

7

70) 79

-112

A) 1318 B) 25

36

C) 23 D) 1

2

71) 58

-19

A) 12 B) 37

72

C) 378 D) 1

18

72) 23

+215

A) 45 B) 4

15

C) 3745 D) 2

9

Find the prime factorization of the number.

73) 7425

A) 33 · 53 · 11 B) 34 · 5 · 11

C) 33 · 52 · 11 D) 3 · 54 · 11

74) 90

A) 22 · 32 · 5 B) 2 · 3 · 5

C) 10 · 32 D) 2 · 32 · 5

Write the fraction in simplest form.

75) -132168

A) -1214 B) -

132168

C) -1114 D) 11

12

76) 105135

A) 79 B) 7

15

C) 105135 D) 15

9

Write the improper fraction as a mixed or whole number.

77) 2247

A) 223 B) 32

C) 225 D) 322

78) 485

A) 10 35 B) 9 3

7

C) 8 35 D) 9 3

5

Write the mixed number as an improper fraction.

79) 13 89

A) 208 B) 1259

C) 29 D) 1049

80) 3 56

A) 185 B) 18

6

C) 236 D) 23

5

Write a fraction to represent the shaded area of the figure.

81)

A) 75 B) 7

12

C) 512 D) 5

7

Solve.

82) Find the average of -8, -12, 0, and 8.

A) 3 B) -4 C) -3 D) -6

83) Write the prime factorization of 968.

A) 2 · 2 · 11 · 11 · 11

B) 2 · 2 · 2 · 2 · 11

C) 2 · 2 · 2 · 11 · 11

D) 8 · 121

84) Find the LCM of 3, 175, 147.

A) 3675 B) 11,025

C) 525 D) 77,175

85) Write 314

as an equivalent fraction with a

denominator of 98.

A) 4298 B) 21

98

C) 2941372 D) 3

98

Simplify the fraction.

86) 2763

A) 39 B) 9

7

C) 37 D) 27

63

Solve.

87) Write 8.9 as a fraction.

A) 89010 B) 8.9

10

C) 89100 D) 89

10

Perform the indicated operation and simplify.

88) 49

+815

A) 44135 B) 44

45

C) 415 D) 28

45

89) 23

·946

A) 323 B) 1

23

C) 923 D) 11

49

90) 37

÷ 9

A) 121 B) 27

7

C) 37 D) 21

91) 34

-16

A) 712 B) 1

12

C) 724 D) 2

3

92) 4 34

+ 4 1112

A) 81 23 B) 8 2

3

C) 9 16 D) 9 2

3

93) 6 27

- 3 121

A) 2 521 B) 3 5

21

C) 2 121 D) 3 1

21

94) 3 56

÷ 16

A) 23 B) 2336

C) 18 56 D) 8

95) 4 13

· 2 34

A) 8 14 B) 2 1

12

C) 11 1112 D) 12 3

4

Perform the indicated operation.

96) 35 + 0.95 + 7.9

A) 42.995 B) 52.4

C) 43.85 D) 36.74

Solve.

97) Write 34

as a decimal.

A) 0.75 B) 0.8

C) 0.725 D) 0.075

98) Write 0.32 as a percent.

A) 3.2% B) 320%

C) 32% D) 0.032%

99) 15 is 1% of what number?

A) 15,000 B) 1500

C) 150 D) 15

100) 22 is what percent of 20?

A) 1.1% B) 1100%

C) 11% D) 110%