11-12 PPT

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5 Minute Check
Solve and show work on the back on your
homework.
1. x + 5 = 11
2. 45 + c = 74
3.
8
9
f+ =
10 10
4.
5
7
+n=
8
8
5 Minute Check
Solve and show work.
1. x + 5 = 11
5 Minute Check
Solve and show work.
1. x + 5 = 11
-5 = -5
x+0 = 6
5 Minute Check
Solve and show work.
2. 45 + c = 74
5 Minute Check
Solve and show work.
2. 45 + c = 74
-45 = -45
0 + c = 29
5 Minute Check
Solve and show work.
3.
8
9
f+ =
10 10
5 Minute Check
Solve and show work.
3.
8
9
f+ =
10
10
8
8
- =10
10
1
f +0=
10
5 Minute Check
Solve and show work.
4.
5
7
+n=
8
8
5 Minute Check
Solve and show work.
4.
5
7
+n=
8
8
5
5
- =8
8
2 1
0+n= =
8 4
Flashcards
Flashcards
Flashcards
Flashcards
Flashcards
Flashcards
Wednesday, Nov 12
Lesson 6.7.3
Solve and Write Subtraction Equations
Solve and Write Subtraction Equations
Objective: To understand, solve and write
subtraction equations.
Solve and Write Subtraction Equations
An equation is a mathematical sentence
showing two expressions are equal. An
equation always has an equal sign.
e.g.
x–2 =4
Solve and Write Subtraction Equations
e.g.
x - 2
=
4
The left side = The right side
Solve and Write Subtraction Equations
e.g.
x - 2 +2 =
4
The left side ≠ The right side
Solve and Write Subtraction Equations
e.g.
x - 2 +2 =
4+2
The left side = The right side
Solve and Write Subtraction Equations
An equation is only true if both sides are
equal.
A teeter totter will only be balanced if there is
equal weight on both sides
Solve and Write Subtraction Equations
When you replace a variable with a value that
results in a true statement, you solve the
equation.
The value for the variable is the solution to
the equation.
Solve and Write Subtraction Equations
A variable is a symbol, usually a letter, used to
represent a number.
Solve and Write Subtraction Equations
A variable is a symbol, usually a letter, used to
represent a number.
A constant is a term without a variable.
Solve and Write Subtraction Equations
Subtraction and Addition Property of
Equality states if two expressions are equal
and the exact same thing is added to or
subtracted from both sides, the two sides will
remain equal.
Solve and Write Subtraction Equations
The goal in solving any algebraic equation is
to get the variable on one side of the equal
sign and a constant on the other side of the
equal sign.
e.g.
x = 55
Solve and Write Subtraction Equations
Solving an algebraic subtraction equation is
the same as solving an algebraic addition
equation.
Solve and Write Subtraction Equations
What is the opposite of the variable-side
constant in the equation?
t + 5 = 35
Solve and Write Subtraction Equations
What is the opposite of the variable-side
constant in the equation?
t + 5 = 35
-5
Solve and Write Subtraction Equations
What is the opposite of the variable-side
constant in the equation?
w - 78 = 145
Solve and Write Subtraction Equations
What is the opposite of the variable-side
constant in the equation?
w - 78 = 145
+78
Solve and Write Subtraction Equations
Solve.
x–2=3
To Solve an Algebraic Equation.
Step 1- Determine which side of the equation
has the variable and a constant.
Which side has the variable & constant?
Solve and Write Subtraction Equations
Solve.
x–2=3
To Solve an Algebraic Equation.
Step 1- Determine which side of the equation
has the variable and a constant.
Solve and Write Subtraction Equations
Solve.
x–2=3
To Solve an Algebraic Equation.
Step 2 - Add the opposite of the variable
side constant to both sides, making sure to
line up the constants.
What is constant on the left side?
Solve and Write Subtraction Equations
Solve.
x–2=3
To Solve an Algebraic Equation.
Step 2 - Add the opposite of the variable
side constant to both sides, making sure to
line up the constants.
What is it’s opposite?
Solve and Write Subtraction Equations
Solve.
x–2= 3
+2 = +2
Solve and Write Subtraction Equations
Solve.
x–2= 3
+2 +2
x
= 5
Original Problem
Work to be shown on homework.
Solve and Write Subtraction Equations
Solve.
x–7= 5
Do this on your own.
Solve and Write Subtraction Equations
Solve.
x–7= 5
+7 +7
x
= 12
Solve and Write Subtraction Equations
Solve.
9= a-5
Do on your own.
Solve and Write Subtraction Equations
Solve.
9= a-5
+5
+5
14 = a
Solve and Write Subtraction Equations
Solve.
3.9 = a + 1.5
Solve and Write Subtraction Equations
Solve.
3.9 = a + 1.5
-1.5
-1.5
2.4 = a
Solve and Write Subtraction Equations
Solve.
1 7
x-3= 9
Solve and Write Subtraction Equations
Solve.
1 7
x-3= 9
1 1
+3 +3
7 1
x = 9+ 3
7 3
x = 9 +9
10
x = 9
1
x =19
Solve and Write Subtraction Equations
Solve.
1242 + c = 1517
Solve and Write Subtraction Equations
Solve.
1242 + c = 1517
-1242
-1242
c = 275
Solve and Write Subtraction Equations
Solve.
-15 + n = -9
Solve and Write Subtraction Equations
Solve.
-15 + n = -9
+15
+15
n = 6
Solve and Write Subtraction Equations
Solve.
-561 = s - 9
Solve and Write Subtraction Equations
Solve.
-561 = s - 9
+9
+9
-552 = s
Solve and Write Subtraction Equations
Solve.
-16 = p - 25
Solve and Write Subtraction Equations
Solve.
-16 = p - 25
+25
+25
9= p
Solve and Write Subtraction Equations
Mike is 9 inches taller than Steve. If Steve is
55 inches tall, write a algebraic equation that
could be used to find Mike’s height.
Do this on your own.
Solve and Write Subtraction Equations
Mike is 9 inches taller than Steve. If Steve is
55 inches tall, write a algebraic equation that
could be used to find Mike’s height.
M - 9 = 55
+ 9 +9
M = 64
Solve and Write Subtraction Equations
Georgia’s height is 4 inches less than
Sienna’s height. Georgia is 58 inches tall.
Write and solve a subtraction algebraic
equation to determine Sienna’s height.
Do this on your own.
Solve and Write Subtraction Equations
Georgia’s height is 4 inches less than
Sienna’s height. Georgia is 58 inches tall.
Write and solve a subtraction algebraic
equation to determine Sienna’s height.
S – 4 = 58
+4 +4
S
= 62
Solve and Write Subtraction Equations
At age 25, Gherman Titov of Russia was the
youngest person to travel into space. This is
52 years less than the oldest person to travel
into space, John Glenn. Write and solve a
subtraction algebraic equation to determine
how old John Glenn was.
Do this on your own.
Solve and Write Subtraction Equations
At age 25, Gherman Titov of Russia was the
youngest person to travel into space. This is
52 years less than the oldest person to travel
into space, John Glenn. Write and solve a
subtraction algebraic equation to determine
how old John Glenn was.
J – 52 = 25
+52 +52
J
= 77
Solve and Write Subtraction Equations
Raheem’s rollerblades cost $70.25 less than
his bicycle. His rollerblades cost $43.50.
Write and solve a subtraction algebraic
equation to determine how much his bicycle
cost.
Do this on your own.
Solve and Write Subtraction Equations
Raheem’s rollerblades cost $70.25 less than
his bicycle. His rollerblades cost $43.50.
Write and solve a subtraction algebraic
equation to determine how much his bicycle
cost.
b – 70.25 = 43.50
+70.25 +70.25
b
= 113.75
Solve and Write Subtraction Equations
Pete is 15 years old. This is 6 years younger
than his sister Victoria. Write and solve a
algebraic equation to find Victoria’s age.
Solve and Write Subtraction Equations
Pete is 15 years old. This is 6 years younger
than his sister Victoria. Write and solve a
algebraic equation to find Victoria’s age.
V – 6 = 15
+6 +6
V
= 21
Solve and Write Subtraction Equations
Alejandra spent her birthday money on a video
game that cost $24, a controller for $13, and a
memory card for $16. The total tax was $3. Write
and solve a algebraic equation to find how much
money she gave the cashier if she received $4
change.
Solve and Write Subtraction Equations
Alejandra spent her birthday money on a video
game that cost $24, a controller for $13, and a
memory card for $16. The total tax was $3. Write
and solve a algebraic equation to find how much
money she gave the cashier if she received $4
change.
A - $56 = $4
+$56 +$56
A
= $60
Solve and Write Subtraction Equations
How would you solve 163 – b = 71?
Solve and Write Subtraction Equations
How would you solve 163 – b = 71?
163 – b = 71
+b
+b
163
= 71+ b
Solve and Write Subtraction Equations
How would you solve 163 – b = 71?
163 – b = 71
+b
+b
163
= 71+ b
-71
-71
92
=
b
Solve and Write Subtraction Equations
Complete Mid-Chapter Check on page 546
and bring to my desk to get the homework.
Homework –
Homework Practice 6.7.3
Due Thursday, Nov 13
Mid-Chapter 6.7 Quiz –Thursday, Nov 13
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