Ah, Wilderness
Arithmetic and Pre-Algebra Review • Solve all problems. • Check your answers with the key provided after the questions. • If you need help reviewing some topics, enroll in a section of TU 301 designated for use of the Math Center and get help at the Center. 1. 2. 3. 4. 5. 6. 7. Find the prime factorization of 198. Simplify 6 2 + 10 2 + 2 2 Simplify 7 ⋅ 5 + 3(5 + 3) + 2 Simplify
12 2 − 14 45 − 2(3 + 1) 2
Simplify − 35 ÷ (−7) ⋅ − 2 Multiply and express your answer in lowest terms: − ⋅ Divide and express your answer in lowest terms:
5 7 3 Simplify − ÷ 6 12 7 5 1 9 10
2 4 ÷ 15 45
8. 9.
Find the least common multiple (LCM) of 18 and 21.
10. Find the greatest common factor (GCF) of 60 and 45. 11. Simplify
3 1 + (0.06) 4 3
12. Reduce to lowest terms:
40 x 3 yz 2 36 xy 2 z 4
13. Solve the equation 2.7 + x = 17
14. Write 80% in decimal notation. 15. 19 is 6% of what number? 16. Find the mean of the numbers 74, 41, 74, 100 and 41. 17. Solve the equation
16 − 2 = 1 x 8
18. What percent of 300 is 450? 19. In a certain company, 74 employees were hired in the last 5 years. If this represents 43% of the current number of employees, then how many current employees does the company have? 20. Marco had $950 in his checking account. He wrote a check for $250 for his car payment and a check for $325 for his rent. What is the balance in his account?
Arithmetic and Pre-Algebra Review KEY
1. 2 ⋅ 3 2 ⋅ 11 2. 140 3. 61 4. 10 5. -10 6. −
3 2 1 18
7.
8.
7 12
9. 126 10. 15 11.
77 = 0.77 100
10 x 2 12. 9 yz 2 13. x = 14.3 14. 0.8 15. 316 16. 66 17. x = −1 18. 150% 19. The company has 172 current employees. 2 3
20. The balance in his account is $375.
12 2 − 14 45 − 2(3 + 1) 2
Simplify − 35 ÷ (−7) ⋅ − 2 Multiply and express your answer in lowest terms: − ⋅ Divide and express your answer in lowest terms:
5 7 3 Simplify − ÷ 6 12 7 5 1 9 10
2 4 ÷ 15 45
8. 9.
Find the least common multiple (LCM) of 18 and 21.
10. Find the greatest common factor (GCF) of 60 and 45. 11. Simplify
3 1 + (0.06) 4 3
12. Reduce to lowest terms:
40 x 3 yz 2 36 xy 2 z 4
13. Solve the equation 2.7 + x = 17
14. Write 80% in decimal notation. 15. 19 is 6% of what number? 16. Find the mean of the numbers 74, 41, 74, 100 and 41. 17. Solve the equation
16 − 2 = 1 x 8
18. What percent of 300 is 450? 19. In a certain company, 74 employees were hired in the last 5 years. If this represents 43% of the current number of employees, then how many current employees does the company have? 20. Marco had $950 in his checking account. He wrote a check for $250 for his car payment and a check for $325 for his rent. What is the balance in his account?
Arithmetic and Pre-Algebra Review KEY
1. 2 ⋅ 3 2 ⋅ 11 2. 140 3. 61 4. 10 5. -10 6. −
3 2 1 18
7.
8.
7 12
9. 126 10. 15 11.
77 = 0.77 100
10 x 2 12. 9 yz 2 13. x = 14.3 14. 0.8 15. 316 16. 66 17. x = −1 18. 150% 19. The company has 172 current employees. 2 3
20. The balance in his account is $375.