You’ve fallen down a slippery, eighteen-feet deep hole. Each hour, you climb up three feet, and then slip backwards two feet. How many hours will it take you to reach the top of the hole and climb out? Simplify these expressions.
a. 6ab + (–3x) + 2ab
b. 12x + 4y + (–3x)
c. 6w + (–2y) + 3w
d. 4abc + (–9abc) + 10d

Simplify these expressions.
a. 13xyz + 9 + 2xyz + 3
b. 6ab + (–2ab) + 4 + 6
c. 3 + 10x + (–2) + (–3x)
d. 2x + 3 + x + 10

Simplify and solve each of the following equations.
a. 6 + 8x – 2 – 6x = 20
b. 10b – 3b – 5 – 2 = 14
c. 36 = 2r + 6r – 10 + 6
d. 95 = 47 + 4a – 22 + 6a

Karen is thinking of a number. If she multiplies her number by −3 and then adds 6, she has −4 times the original number. What is Karen’s number? (Hint: Let x stand for her number, and use an equation to solve the problem.)

Solve each of the following inequalities.
a. 2k + 7 > 21
b. a⁄3 + 12 < 5
c. 6h − 5 > 49
d. f⁄7 − 9 < 34

Claire is organizing a retirement dinner for her boss. The restaurant where she plans to hold the dinner has a maximum capacity of 125 people. She already has reservations from 77 people. To meet the capacity requirements of the restaurant, the number of additional reservations she may take must not exceed what number?