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Basic Algebra Problems

1. Express 775% as a decimal.
775% is 775/100=7.75

A) 775 B) 77,500 C) 77.5 D) 7.75
2. Evaluate. | -7 | + | 13 |
| -7 | + | 13 |=7+13=20

A) 20 B) -20 C) 6 D) -6
3. Evaluate. 81 ÷ 9 - 16 ÷ 8
81 ÷ 9 - 16 ÷ 8

A) 7 B) 9 C) 6 D) 8
4. Express 9.41 as a percent.
9.41 as percent is 941.0%

A) 94.1% B) 941.0% C) 0.0941% D) 9.41%
5. Find the GCF for 14 and 21.
We have 14=7 x 2 and 21=7 x 3. therefore GCF of 14 and 21 is 7

A) 7 B) 1 C) 42 D) 6
6. Subtract. 12.537 - 9.21
12.537 - 9.21=3.327

A) 3.327 B) 3.516 C) 1.1616 D) 11.616

7. Which number is prime?

A) 12 B) 31 C) 99 D) 1
8. Which of the following is not a fractional representation for ?

A) B) C) D)

9. Add. 3.2174 + 5.78

A) 9.2252 B) 8.9974 C) 8.2954 D) 8.2252
10. Add. 8.84 + 7.3019

A) 15.3859 B) 8.1859 C) 15.1419 D) 16.1419
11. Change the fraction to a decimal.

A) B) 0.0006 C) D)

12. Find the LCM for 6, 28, and 48.
First prime factorization of each of numbers:

multiply each factor the greatest number of times it occurs:
four 2, one 3, and one 7. The LCM is

A) 336 B) 8,064 C) 42 D) 2
13. Evaluate. - | -2 |

A) 2 B) -2 C) 0 D) No Solution
14. Divide. Write the result in simplest form.

A) B) C) D)

15. For the following set, which number has the largest absolute value?
4, -1, 12, -20, 19, 0

A) -1 B) 0 C) 19 D) -20
16. Find the prime factorization of 93.

A) 3 ? 13 B) 93 ? 1 C) 1 ? 93 D) 3 ? 31
17. Convert to a mixed number.

A) B) C) D)

18. Multiply.

A) B) C) D)

19. Simplify: -(-(-7)).

A) -7 B) +7 C) 7 D) 17
20. Write as a percent.

A) 10% B) 100% C) 0.01% D) 0.001%
21. Simplify: -(-8).

A) -8 B) 64 C) 16 D) 8
22. Convert 0.17 to a fraction and write your answer in lowest terms.

A) B) C) D)

23. Express 41% as a fraction.

A) B) C) D)

24. Subtract. 2.205 - 1.177

A) 10.28 B) 100.28 C) 1.028 D) 102.080

25. List All the Factors of 16

A) 2, 4, 16 B) 2, 8, 16 C) 1, 2, 8 D) 1, 2, 4, 8, 16
26. Determine whether the following is an expression.
y + . w

A) No B) Yes C) Can Not be determined D) None of the Choices
27. Marcie gets paid $1.25 an hour to babysit her little brother. If she babysits for 3 hours, how much money do Marcie's parents owe her?
Her parents owe $3.75 to her.
A) $3.75 B) $4.00 C) $3.50 D) $3.25
28. Evaluate b2 - 2bc + c2 if b = 3 and c = -2.

A) 1 B) 25 C) -7 D) 17
29. Multiply.
7x10  7x4

A) 49x40 B) 49x14 C) 14x40 D) 14x14
30. Use the distributive property to remove the parentheses in the following expression. Then simplify your result if possible.

A) 9 B) 20 C) 10 D) 21
31. Which property of the real numbers is illustrated by the following statement?
7 ? 3 = 3 ? 7

A) Associative property of multiplication C) Commutative property of multiplication
B) Distributive property D) None of the Choices
32. Combine like terms.
5w + 5x - 9w

A) w + x B) 10w - 9x C) -4w + 5x D) wx
33. Write the following phrase using symbols.
The quotient of p minus q, divided by 5

A) B) C) D)

34. Divide.

A) m2n4 B) m2n3 C) m4n3 D) m4n4
35. Find for the following set of numbers:
-3, 5, -4, 8, -6, 10, -5

A) 5 B) 0 C) 2 D) 6
36. Divide.

A) 40p9q3 B) 40p8q3 C) 5p8q3 D) 5p9q3
37. Add.

A) B) C) D)

38. Which property of the real numbers is illustrated by the following statement?
19 + 11 = 11 + 19

A) Associative property of addition C) Commutative property of addition
B) Distributive property
39. Determine whether the following is an expression.
5 + z = x

A) No B) Yes C) Undefined D)Indeterminable
40. Add. 20 + (-8)

A) -12 B) -28 C) 12 D) 28
41. Add. 0 + (-5) + 13 + (-3)

A) -15 B) -5 C) 5 D) 25
42. Use the indicated property to write an expression that is equivalent to the following expression.
(7 + 11) + 2 (associative property of addition)

A) (11+2+7) B) 20 C) 7 + ( 11+2) D) 7+11+2 ( 1 )
43. Find the median.
20 15 17 25 22

A) 25 B) 20 C) 22 D) 17
44. Divide.

A) B) C) D)

45. Write the following phrase using symbols.
m decreased by by 4

A) 4m + 1 B) 4 m - 4 C) 4 - m D) m - 4
46. Subtract.

A) +1 B) -1 C) -8 D) Undefined
47. Write the following phrase using symbols. Use the variable x to represent the number.
A number divided by 10

A) B) C) D)

48 A rectangle has sides of 3x - 4 and 7x + 10. Find the expression that represents its perimeter.

A) 20 x + 12 B) 22 x + 11 C) 26 x -14 D) 12 x + 20
49. Use the properties of addition and multiplication to complete the statement.
(5 + 18) + 4 = 5 + ( ____ + 4)

A) -18 B) 18 C) 17 D) 12
50. If a 4.4-pound bag of dog food costs $3.52, what is the cost per pound?

A) $0.65 B) $0.85 C) $1.20 D) $0.80

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