Multi-Step Equations
-2(x + 7) = 16
x = -15
6x - 21 = 33 + 9x
x = -18
Retro Fitness charges a $16 sign up fee and $12 per month. Planet Fitness charges $14 per month and no sign up fee. After how many months will the two gyms cost the same?
8 months
3/9 = 10/n
n = 30
12(x + 3) - 3x = 117
x = 9
-15x = -5(3x + 7)
No Solution
Ms. Donovan joins a yoga studio that charges a $14 membership fee and $17 per class. If Ms. Donovan has paid a total of $99 to the studio, how many classes has she taken?
5 classes
5.3k + 2.2 + 5 = -8.7
k = -3
-25 + 4(2x + 5) = -61
x = -7
16x - 19 = 113 - 6x
x = 6
Mrs. Feigenwinter wants to order books to read on her next vacation. If she orders them from Barns & Noble, it will cost her $15 per book and $6 for shipping. If she orders them from Amazon, it will cost her $18 per book and free shipping. After buying how many books will each company cost the same?
2 books
(x - 10)/8 = 9/6
x = 22
-20 - 3(4x - 1) = 7
x = -2
3(-2x + 5) = 15 - 6x
All Real Numbers
Length: 4.5 feet
Width: (x - 3) feet
What is the perimeter? P = 2L + 2W
P = 2(4.5) + 2(x - 3)
P = 9 + 2x - 6
P = 2x + 3 feet
4(3 - 4x) = -4(6 + 4x)
No Solution
23 - 7(x + 3) + 5x = 10
x = -4
5x - 8 = 13 + 7(x - 3)
x = 0
Length: 4.5 feet
Width: (x - 3) feet
What is the area? A = LW
A = 4.5(x - 3)
A = 4.5x - 13.5 feet2
(-4/3)b + 2b = -4
b = -6