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Integers and Order of Operations
Simplifying and Equivalence
Solve for X
Writing Equations
Substituting into Equations
100
4 - 12
-8
100
Simplify 3x + 10 + 2x - 6
5x + 4
100
3x + 4 = 10
x = 2
100
I make $5 for every coffee I sell. Write an equation for my income depending on the number of coffees I sell.
Y = 5x X = number of coffees Y = Income
100
How much money do they make if they sell 5 shirts? Y = 3x + 4 X = number of shirts sold Y = total money made
$19
200
-4 + -17 + -3
-24
200
Simplify 3x + -4a + 2x - 3a
5x + -7a or 5x - 7a
200
8x + 2x + 2 = 32
x = 3
200
I spend $300 on rent and $1.50 on supplies for every coffee I sell. Write an equation for my expenses (amount I spend) depending on the number of coffees I sell.
Y = 1.5x + 300 X = number of coffees Y = Expenses
200
If the math teachers have written 20 problems, how much will they get paid? Y = 5x X = number of problems Y = Money Paid to math teachers
$100
300
2 x -4 x -9
72
300
Are the following equivalent? 7x + 28 and 7(x + 4)
yes
300
4x + 2(3x + 6) = 62
x = 5
300
If I pay $1.50 in shipping and $6 for every DVD I order through Netflix, write an equation for my total cost depending on the number of movies I order.
Y = 1.5x + 6 Y = Total Cost X = number of DVDS
300
If they make $24, how many coffees did they sell? Y = 2x - 10 X = number of coffees sold Y = Money made
17 coffees
400
3(-4) - 2(5)
-22
400
Are the following equivalent? 8 - 2(3x + 1) and 9 - 6x
no
400
18 - 2(x + 3) = 18
x = -3
400
If I make $5 for every shirt I sell, but it costs me $1 to make each shirt and it costs me $50 in in other general materials, write an equation for my profit (money made) depending on the number of shirts I sell.
Y = 5x - 1x - 50 or Y = 4x - 50 Y = Profit X = number of shirts sold
400
How much does the piano teacher earn if she gives 5 students lessons? Y = 40x - 60 Y = money earned X = number of students taught
$140
500
4 - 2(6 - 8) + 3
11
500
Are the following equivalent? 3x + 2(4x + 3) + 8 and 11x + 14
yes
500
4x + 5 = 8x - 15
x = 5
500
I had a generous sponsor give me $780 and I make $3 for every notebook I sell. It does cost me $1.50 for every notebook's materials and I have to pay an additional $200 in rent. Write an equation for my profit (money earned) depending on the number of notebooks I sell.
Y = 3x - 1.50x + 780 - 200 Y = 1.5x + 580 Y = profit and X = number of notebooks sold
500
The piano teacher needs to make $500 for bills, how many lessons must she give? Y = 40x - 60 Y = money earned X = number of students taught
14 lessons