Directions: What does each of the following mean? Write out in words and phrases. Example: 7 - 12 means: seven minus twelve

1. 8 + t

2. 10rst

3. t - 4

4. (8)(n)

5. 10 * s

6. 6x

7. x + y

8. 2x + 4y

Solve for the following if x = 6: (Hint: substitute 6 for the letter x and work the problem. You will work more with substitution later.)

Example: 10x = 10*6 = 60

9. x - 6 ( if x = 6)

10. 7 + x ( if x = 6)

11. 3x - 9 ( if x = 6)

12. 63/x ( if x = 6)

13. 5 + 5x + 10 ( if x = 6)

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

The suare root of 9x plus 7 plus the square rot of 2x equall to 7

Look at triangle wxy what is the length (in centimeters) of the side wy of the triangle?