Simplifying Expressions
10r - 5r + 3r -8r
0
25 + 30x = 265
x = 8
-10x + 25 < 5
x > 2
**Write equation/inequality and solve**
Todd would like to purchase a bicycle that cost $246. This is $48 less than twice the cost of his last bicycle. How much did his last bicycle cost?
2x - 48 = 246
x = 147
1.5r - 3r + 8r + 2.5r
9r
-4k + 9 = 32
k = -5.75
2.5x - 10 > 25
x > 14
**Write equation/inequality and solve for x**
The temperature of the pool water started at 82 degrees, and is cooling down 0.4 degrees each hour. If the water temperature is now 78 degrees, than how many hours have passed?
82 - 0.4x = 78
10 hours
-r + 6 + 8r - 14
7r - 8
-15 - 6x = -24
x = 1.5
30 < 3x - 5
x > 11.6
**Write equation/inequality and solve for x**
Jeremy is saving money for the next 4 months for his vacation. He will spend $550 on airfare and a hotel. How much does he need to save each month to have $880 in spending money?
4x - 500 = 880
x = 95
8r + 12p - 7 - 3p
8r + 9p - 7
6x - 3.5 = -15.5
x = -2
17 < -5x -23
x < -8
**Write equation/inequality and solve for x**
The school PTA is sponsoring a dance. They decided to price the student tickets at $6. It will cost the PTA $252 to put on the dance. How many tickets with the PTA need to sell in order to make a profit?
6x > 252
x > 42
5w - 2 + 3w + 3w + 5w - 2
16w - 4
2x - 8.7 = 21.3
x = 15
-3 > 6x + 39
x < -7
**Write equation/inequality and solve for x**
Jamie purchases gifts for three friends. She chooses a book for $12.80 and then finds two identical necklaces. Her budget is $48 before tax. What is the maximum she can spend on each necklace?
12.80 + 2x < 48
x < 17.6