CHAPTER 3
Pre-Algebra
Solving One-Step Equations and Inequalities
Second Quarter - Schedule
Chapter 3
Chapter 4
Solving One-Step Equations
Exploring Factors and Fractions
3.2 – 3.3  Quiz 3A
 3.4 – 3.5  Quiz 3B
 3.6 – 3.8  Quiz 3C
Test – November 16th

4.1 – 4.3  Quiz 4A
 4.4 – 4.7  Quiz 4B
 4.8 – 4.9  No Quiz
Test – December 14th

Chapter 3 - Schedule
Solving
One-Step
Equations
M - Fall Mid Term Review
T - 3.2: Solving Equations by Adding or
Subtracting
B - 3.3 : Solving Equations by
Multiplying or Dividing
F - Quiz 3A
TEST – NOVEMBER 16TH
Chapter 3 - Schedule
Solving
One-Step
Equations
M – 3.4 : Using Formulas
T – 3.5 : Area and Perimeter
B – Halloween and All Saints Day
Activites
F - Quiz 3B
TEST – NOVEMBER 16TH
Chapter 3 - Schedule
Solving
One-Step
Equations
M – 3.6 : Solving Inequalities by Adding
or Subtractions
T - 3.7 : Solving Inequalities by
Multiplying or Dividing
B - 3.8 : Applying Equations and
Inequalities
F - Quiz 3C
TEST – NOVEMBER 16TH
3.2 - Solving Equations by Adding or
Subtracting


Objective: To solve equations by using the addition
and subtraction properties of equality
Answers:
Warm-Up:
 Solve
1.
2.
3.

4.
5.
each equation:
x = 4 - (-5)
n = (4)(-5)
-8 ÷ -2 = m
Simplify each expression:
8t - 3t + 2t
-9k - (-9k)
1. 9
2. -20
3. 4
4. 7t
5. 0
3.3 – Solving Equations by Multiplying
or Dividing



There is a constant battle
being fought in my heart,
and in yours.
The battle is between love
and power, between the
love of power and the
power of love.
The more the power to love
grows within us the more our
love of power decreases.
3.2 - Solving Equations by Adding or
Subtracting

NOTES:
3.2 - Solving Equations by Adding or
Subtracting

NOTES:
3.2 - Solving Equations by Adding or
Subtracting

NOTES:
3.2 - Solving Equations by Adding or
Subtracting

NOTES:
3.2 - Solving Equations by Adding or
Subtracting

NOTES:
X-3=-8
3.2 - Solving Equations by Adding or
Subtracting
PRACTICE
HOMEWORK

P127 (9 - 39 x3 - Do Not Graph)
MATH LAB!
Section A: WS - Positive and Negative Numbers Packet
Section B: 3.3 - Solving Equations by Multiplying or Dividing
Section C: TicTacMath
3.3 - Solving Equations by Multiplying
or Dividing


Objective: To solve equations by using the
multiplication and division properties of equality
Answers:
Warm-Up:
 Solve
1.
2.
3.
4.
5.
each equation:
x-3=5
y+9=7
13 = m - 6
n - ( - 1) = 1
f+4=-5
1)
2)
3)
4)
5)
8
-2
19
0
-9
3.3 – Solving Equations by Multiplying
or Dividing

NOTES:
3.3 – Solving Equations by Multiplying
or Dividing
PRACTICE
HOMEWORK

P132 (12 - 34 EVEN)
3.2 – 3.3  Quiz 3A
Solving One-Step Equations
3.4 – Using Formulas


Objective: To solve problems using formulas
Warm-Up:
Answers:
1.
2.
3.
4.
5.
x/3 = -6
-3x = -6
x/-2 = -16
-2x = 16
12x = -156
1)
2)
3)
4)
5)
x = -18
x=2
x = 32
x = -8
x = -13
3.4 – Using Formulas

Notes:
If you drive 50 miles per hour, how far would you drive in 2
hours?
Answer: 100 miles
 If you drive 225 miles in 5 hours, how fast were you going?
Answer: 45 mph
Use the distance formula  d = rt
d - distance
r - rate (or speed)
t - time
More Formulas:

Area of a triangle  A=1/2 bh

Area of a rectangle  A=lw

Perimeter of a rectangle  P=2(l+w)

3.4 – Using Formulas
PRACTICE
HOMEWORK

P136 (9-30 x3)
3.5 – Area and Perimeter


Objective: To find the area and perimeter of
rectangles and squares
Warm-Up:
Solve by replacing the variables with the given values:
1. D = rt, if r = 50 and t = 3
2. A = lw, if l = 23 and w = 11
Answers:
3. A = lw, if A = 500 and w = 10
1) 150
(𝑓−𝑠)
2) 253
4. a=
, if f = 18, s = 2 and t = 8
𝑡
3) 50
4) 2
3.5 – Area and Perimeter

Notes:
A = Area
l = length
w = width

Area of a rectangle  A=lw

Perimeter of a rectangle P=2(l+w) or P=2l+2w
BONUS: Area of a triangle  A=1/2 bh
b = base
h = height

Let’s try some…Find the perimeter of each rectangle
 A 4 foot by 8 foot rectangle
 A 6 centimeter square
3.5 Area and Perimeter
PRACTICE
HOMEWORK

p142-143 (6-27 x3)
3.5 – Area and Perimeter


Objective: To find the area and perimeter of
rectangles and squares
Warm-Up:
Solve by replacing the variables with the given values:
1. D = rt, if r = 50 and t = 3
2. A = lw, if l = 23 and w = 11
Answers:
3. A = lw, if A = 500 and w = 10
1) 150
(𝑓−𝑠)
2) 253
4. a=
, if f = 18, s = 2 and t = 8
𝑡
3) 50
4) 2
3.5 – Area and Perimeter

Notes:
A = Area
l = length
w = width

Area of a rectangle  A=lw

Perimeter of a rectangle P=2(l+w) or P=2l+2w
BONUS: Area of a triangle  A=1/2 bh
b = base
h = height

Let’s try some…Find the perimeter of each rectangle
 A 4 foot by 8 foot rectangle
 A 6 centimeter square
3.4 – 3.5  Quiz 3B
Area and Perimeter Formulas
Second Quarter - Schedule
Chapter 3
Chapter 4
Solving One-Step Equations
Exploring Factors and Fractions
3.2 – 3.3  Quiz 3A
 3.4 – 3.5  Quiz 3B
 3.6 –3.7  Quiz 3C
Test – November 16th

4.1 – 4.3  Quiz 4A
 4.4 – 4.7  Quiz 4B
 4.8 – 4.9  No Quiz
Test – December 14th

3.6 Solving Inequalities by Adding
and Subtracting


Objective: To solve inequalities by using addition
and subtraction properties of inequalities and
graph the solution sets.
Warm-Up:
Answers:
Solve for variable:
1. x/-3 = -15
2. 4 = -16x
3. 12 - x = -15
4. - 6 = 12 + x
5. x - 4 = 30
1)
2)
3)
4)
5)
x = 45
x = -1/4
x = 27
x = - 18
x = 34
3.6 Solving Inequalities by Adding
and Subtracting

Notes:
So, how do we graph
?
3.6 Solving Inequalities by Adding
and Subtracting

Notes:
3.6 Solving Inequalities by Adding
and Subtracting

Notes:
3.6 Solving Inequalities by Adding
and Subtracting

Notes:
3.6 Solving Inequalities by Adding
and Subtracting

Notes:

Let’s try some…
m+4<9
- 13 > x - 8
3.6 Solving Inequalities by Adding
and Subtracting
PRACTICE
HOMEWORK

P148 -149 (6 - 42 x3)
3.7 Solving Inequalities by
Multiplying and Dividing


Objective: To solve inequalities by using
multiplication and division properties of inequalities
and graph the solution sets.
Warm-Up:
Solve for variable, then try and graph answer:
1.
x/-5 < -10
Answers:
2.
4 > -12x
1) x < 50
2) x < -1/3
3.
15 - x > -15
3) x < 30
4.
- 6 > 10 + x
4) x > -16
5.
x - 4 < 32
5) x < 36
3.7 Solving Inequalities by
Multiplying and Dividing

Notes:
3.7 Solving Inequalities by
Multiplying and Dividing

Notes:

Let’s try some…
4m < - 28
m/-3 > 4
3.7 Solving Inequalities by
Multiplying and Dividing
PRACTICE
HOMEWORK

p. 154 (5-31 ODD)
3.6 & 3.7  Quiz 3C
Solving Inequalities by Adding, Subtracting, Multiplying or Dividing
Block - Chapter 3 Test Review
Solving Equations




Addition
Subtraction
Multiplication
Division
Which RELATION
SYMBOLS?
Opposite (or
“inverse”)
Operations
Solving Inequalities




Addition
Subtraction
Multiplication
Division
Which RELATION
SYMBOLS?
Opposite (or
“inverse”)
Operations
Formulas



Distance
Area
Perimeter
PRACTICE
CLASSWORK
BLOCK: Chapter 3 Test Review
WARM-UP:
p.161 (1-7)
…and now, lets do some review problems
together!
TOGETHER ACTIVITY - PAGE 162:
A.
+/- Equations (#’s 8-15)
B.
x/÷ Equations (#’s 16-23)
C.
Distance Formula (#’s 24-27)
TOGETHER ACTVITY - PAGE 163:
A.
Area and Perimeter (#’s 28-32)
B.
+/- Inequalities (#’s 33-38)
C.
x/÷ Inequalities (#’s 39-46)