Please read and follow all directions. Where appropriate, be sure to show all of your work. Please transfer your answers to the column down the right-hand side of the page. Do your best and good luck!

Evaluate the following expressions.

1. 15 – 4 ( 2 ) 1. __________

2. 3 ( 9 ) + 8 4 2. __________

3. 7 ( 3 + 1 ) – 8 3. __________

4. . 2 ( 5 ) . 4. __________

9 – 4

5. 3 [ 8 ( 1 + 3 ) – 2 ( 4 + 2 ) ] 5. __________

Evaluate the following expressions given than a = 1, b = 7, and c = 3.

6. a + b 6. __________

7. b – a + c 7. __________

8. 4 a + 5 b 8. __________

9. 8 + ( b – a ) 9. __________

c – a

Translate the following phrases into an Algebraic expression.

10. a number divided by 5 10. __________

11. the product of some number and 7 11. __________

Name the mathematical property shown in each example.

12. ( 4 + 5 ) + 6 = 4 + ( 5 + 6 ) 12. _________________________

13. 5 + 10 = 10 + 5 13. _________________________

14. y + 0 = y 14. _________________________

15. 2 _* 4 _* 6 = 6 _* 2 _* 4 15. _________________________

16. 1 ( g ) = g 16. _________________________

Simplify the following expressions.

17. 6 b + 4 + 3 b 17. _______________

18. 15 y + 12 – 5 y + 4 18. _______________

19. 5 ( h + 2 ) + 7 h 19. _______________

20. 2 ( 3 j + 4 k) + 5 ( j + 7 k ) 20. _______________