Name:

Two-Step Equations with Integers and Fractions

It is MOST important that you show your work completely for each problem, even when you can successfully guess the answer.

1) - 3 = -11

=-48

2) 4 (g – 1) = 24

= 7

3) -9= 0

= -9

4) - 40 = 12x + 8

= 4

5) - 2p – 3 = -19

= 8

6) 13 =

= 40

7) - 9 = - 11 +

= 16

8) Challenge!!

2q + 10 = 7q

= 2

9) d + = -

10) 5 - u =

= 13/4

11) - m - = - 10

= 9 1/8

12) = + 9q

= 2/3

13) 2 = +

= 27/40

14) c - = c

= 27/8

15) ( w - ) =

= 5/3

= -10/7

16) + 5 = 2

= -65/18

17) - p + = - 3p

18) - 2 n - = - 1

= 4/15

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?

Atotal of 766 tickets were sold for the school play. they were either adult tickets or student tickets. there were 66 more student tickets sold than adult tickets. how many adult tickets were sold?

Calculate the average rate of change over the interval [1, 3] for the following function. f(x)=4(5)^x a. -260 b. 260 c. 240 d. -240