1. List all the factors of 48.

Factors of 48 are : 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 48

2. Find the prime factorization of 240.

3. Write the prime factorization for 12 and 75. Then find the LCM of 12 and 75.

4. Write the prime factorization for 15, 36, and 54. Then
find the LCM for 15, 36 and

54.

5. Write an equivalent expression with the given denominator.

6. Write an equivalent expression with the given denominator.

Problems 7 – 9: Simplify

Problems 10 – 13: Evaluate

10. for a =6 and b =4

11. for x =30 and y =9

12. −7x^{2} for

13. 3x^{2} for

16. The opposite of − 3 is 3.

17. The opposite of is

18. The reciprocal of − 3 is .

19. The reciprocal of is

When

When

20. Find when
and

21. Find when
and

When

When

Problems 22 – 27: Write as an algebraic expression.

22. 10 more than y | |

23. 8 less than z | |

24. 7 more than 3 times x | |

25. 7% of some number | 0.07x |

26. the sum of y and z | |

27. the product of 4 and c |

Problems 28 – 31: Insert < or > to write a true statement.

28. − 2 > − 5

29. −3.1 < −3.04

32. Locate the following numbers on a number line:

Problems 33 – 50: Compute and simplify.

33. 6+ ( −9 )+ ( −8 )+ 7 = 13 + (−17) = − 4

Problems 51 – 52: Multiply

Problems 53 – 55: Factor

Problems 56 – 61: Simplify

62. The temperature in Antarctica dropped from −59° F to
−73° F . How many degrees did the

temperature drop?

Temp dropped14° F.

63. The simple interest I on a principal of P dollars at
interest rate r for time t, in years, is given

by I=Pr t. Find the simple interest on a principal of $5,400 at 4% interest for
5 years

The interest is $1,080

64. On the first, second, and third downs, a football team
had these gains and losses: 5-yd gain,

12-yd loss, and 15-yd gain, respectively. Find the total gain (or loss).

5 + (−12) + 15 = 8 The total gain is 8 yards.

65. The temperature of a chemical compound was 5°C at 4:15
p.m. During a reaction, it dropped

3°C per minute until 4:27 p.m. What was the temperature at 4:27 p.m.?

T temp at 4 : 27 p.m.

The temp at 4 : 27 p.m. was 31 C.

66. Last year a certain make of car cost $17,500. This
year the same car cost $18,200. What was

the percent increase in the price?

The price of the car increased by 4%.