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Integer operations, basic algebra problems

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1. Which of the following numbers are integers?

2. Place the following set of numbers in ascending order.

A)
B)
C)
D)

3. Carlos works 8.25 h and receives $102.30 pay. What will he receive at the same rate if he works if he works 14 h?
A) $158.10
B) $173.60
C) $189.10
D) $204.60

4. Evaluate
A) 14 −
B)
C) −14
D) 14

5. Subtract
A)
B)
C)
D) 0

6. Find the reciprocal of

7. Divide

8. Divide

9. Perform the indicated operation.

A) Undefined
B) 5
C)
D)

10. Write the number in expanded form.

684
A) 6 + 8 + 4
B) 600 + 80 + 4
C) (6 × 100) + (8 × 10) + (4 × 1)
D) 600 × 80 × 4

11. Give the place value for the indicated digit.

8 in the number 138,350
A) Ones
B) Tens
C) Hundreds
D) Thousands

12. Find m∠a and m∠b.

A) m∠a = 120° ; m∠b = 60°
B) m∠a = 60° ; m∠b = 120°
C) m∠a = 110° ; m∠b = 70°
D) m∠a = 80° ; m∠b = 100°

13. Name the property of addition that is illustrated.

(3 + 6) + 9 = 3 + (6 + 9)

14. Find the number that is 432 more than 1,443
A) 5,792
B) 1,011
C) 1,875
D) 1,885

15. An airline had 122, 138, 114, and 133 passengers on four flights from San Diego to San Jose during 1 day. What was the total number of passengers?
A) 507
B) 607
C) 617
D) 497

16. In the statement 8 − 3 = 5

8 is called the
3 is called the
5 is called the
Write the related addition statement.

17. Round the following number to the indicated place.

5,911, the nearest thousand
A) 5,900
B) 6,000
C) 5,910
D) 6,010

18. Use the symbol < or > to complete the statement.

3 _______ 7
A) <
B) >

19. Name the property of addition and/or multiplication that is illustrated.

7 × 6 = 6 × 7
A) Distributive property of addition over multiplication
B) Commutative property
C) Associative property
D) Distributive property of multiplication over addition

20. Find the volume of the the solid shown.

21. Find the area of the figure.

22. Find the missing angle.

A) 42°
B) 22°
C) 12°
D) 32°

23. Evaluate.

72 ÷ 8 &#8722; 9 ÷ 3
A) 0
B) 3
C) 6
D) 9

24. List the factors of the number 27.

25. Solve for the unknown:

26. Which of the numbers 18, 48, 452, 486, and 844 are divisible by 4?

27. Prime numbers that differ by 2 are called twin primes. Examples are 3 and 5, 5 and 7, and so on. Which pair of numbers are twin primes?
A) 109 and 111
B) 61 and 63
C) 13 and 15
D) 41 and 43

28. Choose the correct prime factorization of the number 117.
A) 2 × 3 × 15
B) 3 × 3 × 11
C) 2 × 3 × 13
D) 3 × 3 × 13

29. A computer can execute 64 instructions per microsecond. How many instructions can it execute in 10 minutes?
A) 3,840,000,000
B) 38,400,000,000
C) 384,000,000,000
D) 3,840,000,000,000

30. Subtract.

A) 6 gal 3 qt
B) 6 gal 1 qt
C) 5 gal 3 qt
D) 5 gal 2 qt

31. The following scores were recorded on a 100-point examination:
91, 85, 76, 86, 96, 51, 68, 92, 85, 72, 66, 88, 93, 82, 84

(a) Find the mean final examination score.
(b) Find the median final examination score.
(c) Is the mean or median a more useful representative of the final examination scores?

32. Complete the statement.

8 qt = ________ L

33. Complete the statement. (Round to the nearest hundredth.)

13 cm = ________ in.
A) 8.06
B) 5.12
C) 1.08
D) 3.03

34. Is between
A) 4 and 5?
B) 5 and 6?
C) 6 and 7?
D) 7 and 8?

35. Find the missing length of the right triangle.

A) 25
B) 26
C) 27
D) 28

36. Is the following set of numbers a perfect triple?

8, 10, 12
A) Yes
B) No

37. Find the square root.

38. Which two triangles are similar?

39. Label the triangle as equilateral, isosceles, or scalene.

A) Isosceles
B) Scalene
C) Equilateral

40. John's height increased from 5'2" to 5'7" during the past year. What is the rate of increase (to the nearest whole percent) of John's height over the past year?

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Solution Summary

The expert examines integer operations and basic algebra. A set of numbers are placed in ascending order.

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