Download E.Paco Solving Equations Name:______ Date:______ Period

E.Paco Solving Equations
Name:__________
Period:___________
Date:____________
Page:___________
Direction: Write an equation to present each picture
Essential Questions?
What does it means?
How :
1.________________________________
To solve equations using addition and subtraction
To solve equations using multiplication and division
2._______________________________
New Vocabulary
Equation:
Variable:
Solution:
Inverse Operation of addition:
Ex:
-3 + ______ =
8 - _________=
Complete the statement. What inverse property did you use?
8 + 4 ⃝ __= 8
Complete the statement. What inverse property did you use?
x + 7 ⃝ __= x
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E.Paco Solving Equations
Complete the statement. What inverse property did you use?
x - 9 ⃝ __= x
Key Concepts
Property
Addition Property of Equality
For every real number a, b, and c, if a = b, then a + c = b + c.
Example
Property
8 = 5 + 3,
so
8 +____ = 5 + 3 _____.
Subtraction Property of Equality
For every real number a, b, and c, if a = b, then a – c = b – c.
Example
8 = 5 + 3, so
8 ______ = 5 + 3 _____
To solve an equation containing a variable, you find the value (or
values) of the variable that make the equation true.
Step 1) Use Inverse Property of Addition to cancel (undo +, -) a term
Step2) Whatever you do to one side of the equation you have to do to
the other using Addition and Subtraction properties of Equality
Using the Addition Property of Equality
Reasoning/ Why do we do these steps
Solve x – 3 = – 8
Lesson 2-1, Example 1 Check Understanding
Choose the correct solution for each equation.
1. m – 10 = 2
2.
y – 7.6 = 4
3. – 9 = b – 5
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E.Paco Solving Equations
Using the Subtraction Property of Equality
Solve for x
x + 5 = 25
Use the picture to solve
Solve Equation
Reasoning
Lesson 2-1, Example 2 Check Understanding
1. x + 5 = 6
2.)
+ y=
3. – 18 = 6 + w
Geometry. The triangle below is isosceles with
sides
and
congruent. Find the value of a.
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E.Paco Solving Equations
Real-World
Connection
Weighing a Baby A mother holds her baby and steps on a scale. The scale reading is 147 lb. Alone, the
mother weighs 129 lb. How much does the baby weigh?
Lesson 2-1, Example 3 Check Understanding
Banking Brendan withdrew $25
from his bank account at an ATM. The transaction slip said his balance was now $243.19.
Choose the answer that best represents an equation to find Brendan's previous balance.
a.
n – $25 = $243.19
b.
n = $243.19 – $25
c.
$25n = $243.19
d.
$25 – n = $243.19
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E.Paco Solving Equations
Name:__________
Period:___________
Date:____________
Page:___________
Show your work here!!!!!
Name: _____________________________
Solving 1-Step Equations
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E.Paco Solving Equations
Solve: x + 8 = 12
List the properties that you used
Solve: a + 15 = -28
Solve: -15 = b -29
Solve: c – 12 = 19
Solve: -15 = b -29
Solve: 39.3 = 13 + h
Solve: y – 6 = -25
Solve: x + ½ = ¾
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E.Paco Solving Equations
Solve: a - ⅔ = ⅔
1. Shaquanda added 16 songs to her iPod. She then had 108 songs. Use “s” to represent the songs
that she had originally and write an equation and solve the equation to find the value of s.
2. Frankie has $72.53 more than Jamese. Jamese has $48.12 more than Tye. Tye has $342.43.
a) Write an equation for Jamese’s money and solve it. b) Write and solve an equation for Frankie.
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E.Paco Solving Equations
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E.Paco Solving Equations
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