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

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

What is the measure of ac? 5 units 13 units 26 units 39 units 3x- 2b 6x + 9

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.