# Basic math problems

Attached are 50 basic math/algebra problems that I need help with....Please show your work so I can learn how you figured it out. Thanks.

1. Give the place value for the indicated digit.

8 in the number 138,350

A) Tens B) Hundreds C) Thousands D) Ones

2. Find the area of the figure.

A) 14 in.2 B) 48 in.2 C) 28 in.2 D) 24 in.2

3. In the statement , 2 is the ______, 8 is the ______, and 16 is the ______.

4. Which of the following is not an expression?

A) B) C) D)

5. Use your calculator to evaluate the expression if , , and . Round your answer to the nearest tenth.

A) 0.2 B) 0.6 C) D) 1.0

6. Evaluate the expression if and .

7. Use the distributive property to remove the parentheses in the expression. Then simplify by combining like terms.

A) B) C) D)

8. Divide Be sure to attach the proper units.

A) 12 months B) 18 months C) D) month

9. Divide Write the result in simplest form.

A) B) C) D) 32

10. Eduardo owned of a family business. He sold of the busniess to his son. What portion of the business does he still own?

A) B) C) D)

11. Add.

12. Find the least common multiple of 9, 10, and 30.

13. Arrange the given fractions from smallest to largest.

, ,

14. Gasoline is about $2 per gallon. You use about gallons each day driving to and from work. How much should you budget for gasoline over the next month (about 20 workdays)?

A) $50 B) $60 C) $70 D) $40

15. For the decimal 6.08712:

What is the place value of 8?

A) Hundred-thousandths B) Hundredths C) Thousandths D) Ten-thousandths

16. Write the decimal equivalent, using the bar notation.

17. Find the area of the figure.

A) 36 ft2 B) 18 ft2 C) 25 ft2 D) 13 ft2

18. Divide.

A) 3.95 B) 3,950 C) 39.5 D) 395

19. Approximately 4 out of every 10 students at Sonia's college live on campus. The college has 3,000 students. How many of them live on campus?

A) 1,500 students B) 1,200 students C) 1,800 students D) 600 students

20. Which pair of fractions is not proportional?

A) B) C) D)

21. Find the best buy on pasta sauce (1 qt is 32 oz).

A) 48 oz for $1.79 C) 1 qt 16 oz for $1.99

B) 1 qt for $1.29 D) 45 oz for $1.59

22. If $7,800 is deposited into an account paying 6% interest compounded annually (at the end of each year), how much money is in the account after 2 years?

A) $7,332.00 B) $8,764.08 C) $8,268.00 D) $9,289.92

23. Rewrite the statement, using percent notation.

13 out of 25 college students work at part-time jobs.

A) 25% B) 13% C) 52% D) 26%

24. Find the missing length of the right triangle.

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

25. Identify the hypotenuse of the triangle by giving its letter.

A) y B) w C) x

Use the following to answer question 7:

26. Use the bar graph, showing the attendance at a circus for 7 days in September, to find the median attendance over the 7 days.

A) 4,000 B) 5,600 C) 3,200 D) 4,800

27. Liza kept the following records of her utility bills for 12 months:

$30, $25, $33, $29, $46, $31, $30, $63, $41, $40, $34, $30

(a) Find the mean of Liza's monthly utility bill.

(b) Find the median of Liza's monthly utility bill.

(c) Is the mean or median a more useful representative of Liza's monthly utility bills?

28. Find the mean of the following set of numbers.

12, 16, 19, 22, 28, 30

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

A) C)

B) D)

30. Evaluate

A) -171 B) -7 C) 171 D) 7

31. Use the distributive property to remove the parentheses in the expression. Then simplify by combining like terms.

A) B) C) D)

32. Evaluate the expression if and .

A) 8 B) -8 C) 26 D) 64

33. Solve for x and check the result.

A) 5 B) C) 9 D)

34. Which of the following are not like terms?

A) B) C) D)

35. Evaluate the expression if and .

A) 16 B) C) 4 D) 2

36. Use your calculator to evaluate the expression if , , and . Round your answer to the nearest tenth.

A) 0.2 B) 0.6 C) D) 1.0

37. For which equation is the number shown in parentheses a solution?

(-2)

A) B) C) D)

38. Give the like terms in the following group of terms.

39. One kilometer is equal to 1,000 meters. What fractional part of a kilometer is 700 meters? Simplify your result.

A) B) C) D)

40. Divide Be sure to attach the proper units.

A) 12 months B) 18 months C) D) month

41. Complete the statement, using the symbol < or >.

42. Identify the amount in the following application:

In a shipment of 1,200 parts, 60 were found to be defective. What percent of the parts were faulty?

A) 5 B) 60 C) 1,200 D) 10

43. 64 is 8% of what number?

44. Complete the statement.

11 g = ________ mg

A) 1,100 B) 11,000 C) 1.1 D) 110

45. Find the first and third quartiles, Q1 and Q3, of the following set of numbers.

13, 5, 12, 16, 7, 14, 7, 3, 10, 7

A) 7; 13 B) 3; 16 C) 5; 12 D) 5; 14

46. Find the mean of the following set of numbers.

7, 10, 9, 13, 6

A) 9 B) 10 C) 8 D) 9.2

47. The table below gives the number of older (age 65 and older) foreign-born residents of the U.S. by region of birth in the year 2000.

Region Population

Europe 1,200,000

Latin America 970,000

Asia 690,000

Other areas 240,000

Create a pie chart for the information.

48. Can or be simplified?

A) None B) C) and D) All three

49. Identify the numerator and denominator of the fraction

A) Numerator: 8; denominator: 17 B) Numerator: 17; denominator: 8

50. Divide Write the result in simplest form.

A) B) C) D)

#### Solution Summary

There are many algebra problems here regarding operations, like terms, fractions, and more