Algebra Questionbook - Expressions
    © '01, A. Azzolino  

exp1. Complete by writing a list of instructions for each:
a)To add fractions with like denominators, __.
b)To add fractions which do not have like denominators, __________.
c)To multiply fractions, ______.
d)To divide fractions, _______.

exp2.
Using notes taken in class, or visit the tutorial, on syntax or Order of Operations as outlined in the phrase "Finally, Please, Readily Excuse, My Dear, Aunt Sally." Remember to include notations such as "leftmost first" or" innermost first" where necessary.

exp3to5.
1st: Write your birth year.
2nd: Write the four digits of your birth year
[ex. 1949 becomes 1, 4, 9, and 9].
3rd: Using the digits of your birth year as 4 numbers,
and using any operation you wish
[+, -,, X, ÷, , 1/x, x (where x and n are two of the four numbers)] and as many parenthesis as you wish, write
an expressions equal to each whole number from 0 to 10.
Ex: 0 = (9 - 9)(4 - 1)

exp6.. Signed No. Connect-the-Dots
    Use mental computation to complete this signed number connect-the-dots puzzle.
    Just simplify an expression then connect the dot for an answer to the dot for the previous answer.
1. -3 + -5
2. -7 + -4
3. (-3)(-2)
4. (6)(-1)
5. -5 + 5
6. -20 + 24
7. -10 + -2
8. -5 ÷ -5
9. -15 ÷ 5
10. 5 ÷ -15
11. -3 + -2
12. -3 + -10    
13. -4 - -7
14. -8 + 7
15. (-4)(-5)(-1)
16. (-1)(-1)(-2)(-9)
17. (-3)(5)
18. -3 ÷ -6
19. -6 ÷ -3
20. 3 ÷ -6
21. 3 - -6
22. -15 - 15
23. 3 + 4
24. 6 - -10
25. 6 + -10
26. (-4)(2)(-1)(-1)

equ7.
The interval notations [a,b], [a,b), (a,b), and (a,b] each have different meaning because of the meaning of the (, ), [, or ] which indicate the inclusion or exclusion of the endpoints of the interval. (Notes on this topic are found at: Inequalities)
 
Use the endpoints 2 and 6.
Write notes in words and with a number line to illustrate each of the four intervals
1st: State interval using the interval notation.
2nd: Draw a number line indicating the interval.
3rd: Describe the interval in English.

exp8. Write a "semiequation" and then the expression or equation.
a.) one more than a number
b.) double the sum of a number and two
c.) the sum of three consecutive odd integers
d.) the sum of three consecutive even integers
e.) the sum of three consecutive integers
f.) The sum of three consecutive integers is triple the middle integer.
g.) The product of the two smallest of three consecutive even integers is triple the largest.



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