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Lesson 1.7: Equations with
Integers
Standards: NS 1.2, AF 2.1, AF 4.2
Objective: Solve one-step equations
Objective - To solve simple equations
involving integers.
Addition/Subtraction
x+8=2
-8 -8
x = -6
y - 13 = -4
+13 +13
y=9
Multiplication/Division
-3x = 21
-3 -3
x = -7
m
(-2)
= 8 (-2)
-2
m = -16
Quick Draw for Points!
• You will have 30-60 seconds to solve each
problem.
• The text is Equations with Integers
Solve.
1) 8 y 3
8
8
y 5
k
2)
12
3
k
3 3 12 3
k 36
3) 9 m 3
3
3
6 m
4)
8b 72
8b 72
8
8
b 9
Translate each sentence and solve.
1) The difference of x and 3 is the same as -19.
x 3 19
3 3
x 16
2) The quotient of y and -5 equals 10.
y
10
5
y
5 5 10 5
y 50
Profit
• Profit is how much extra you make.
• So, Profit equals how much you made
minus how much it cost you to pay for
bills.
• Profit = Income - Expenses
Profit
Profit = Income - Expenses
Palo sells 40 lasers for $5 each. If a case of 40
lasers costs him $75, how much profit was made?
Profit = Income - Expenses
Profit = 40($5) - $75
Profit = $200 - $75
Profit = $125
Profit
ABC Company has annual expenses of $3200. If
they are to make a profit of $4800 this year, what
income will they need?
Profit = Income - Expenses
$4800 =
+ $3200
x - $3200
+ $3200
$8000 = x
Income = $8000