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Name ____________________________________________________________ Hour _______
Algebra 1A
Ch. 4 Notes
1
4.1A Solving Equations by Adding and Subtracting
Steps:
1. ______________________________________________________
(same side of the equal sign)
2.
______________________________________________________
3.
______________________________________________________
______________________________________________________
Examples:
Solve each equation. Check your solution. Show all your work.
1.
a+5=4
2.
a–5=7
Homework: 4-1A # 1-18 Check #1-5 SHOW ALL WORK!!!
4.1AMore Adding and Subtracting Equations
Examples:
Solve each equation. Check your solution. Show all work.
1. 27.2 = h + 45.6
2.
-8 = n – 3
Name ____________________________________________________________ Hour _______
Algebra 1A
Ch. 4 Notes
2
More Examples:
Solve each equation. Check your solution. Show all work.
3. x – 7 = 19
Homework: 4-1A # 19-32 all Check # 19-24 SHOW ALL WORK!!!
4.1B Solving Equations by Multiplying and Dividing
Steps:
1. ______________________________________________________
(same side of the equal sign)
2.
______________________________________________________
3.
______________________________________________________
______________________________________________________
Examples:
Solve each equation. Check your solution. Show all your work.
1.
15 = -3b
2.
y
5
6
Homework: 4-1B # 1-21 Check # 1-5 SHOW ALL WORK!!!
Name ____________________________________________________________ Hour _______
Algebra 1A
Ch. 4 Notes
3
4.1B More Multiplying and Dividing Equations
Examples:
Solve each equation. Check your solution. SHOW ALL WORK!!!
1. 9 = 4y
2.
y
 30
3
3.
x
4
3
Homework: 4-1B # 22-45 Check # 22-27 SHOW ALL WORK!!!
4.1B More 1-Step Equations
Examples:
Solve each equation. Show all work.
1.
3 + x = 111
2.
9x = 45
Homework: 4-1B # 46-64 Check # 46-51 SHOW ALL WORK!!!
Name ____________________________________________________________ Hour _______
Algebra 1A
Ch. 4 Notes
4
4.2 Solving 2-step Equations
Steps:
1. ______________________________________________________
(same side of the equal sign)
2.
______________________________________________________
3.
______________________________________________________
(same side of the equal sign)
4.
______________________________________________________
5.
______________________________________________________
______________________________________________________
Examples:
Solve the equation. Show your work.
1. 15y + 31 = 61
2.
-35 = 2p + 10
Homework: 4-2 # 1-12 Check # 1-5 SHOW ALL WORK!!!
Name ____________________________________________________________ Hour _______
Algebra 1A
Ch. 4 Notes
5
4.2 More 2-step equations
Examples:
Solve the equation. Show your work.
1. 4p – 13 = 27
2.
x
 3  21
4
Homework: 4-2 # 13-21 Check # 13-15 SHOW ALL WORK!!!
4.2 More 2-step equations
Examples:
Solve the equation. Show your work.
1. 47 = 2f – 3
2.
1
p  3  18
2
Homework: 4-2 # 22-33 Check # 22-25 SHOW ALL WORK!!!
Name ____________________________________________________________ Hour _______
Algebra 1A
Ch. 4 Notes
6
4.3 Solving Multi-step Equations
Steps:
1. ______________________________________________________
______________________________________________________
2.
______________________________________________________
______________________________________________________
3.
______________________________________________________
4.
______________________________________________________
______________________________________________________
Examples:
Solve the equation. Show your work.
1. 5x – 7 = 4x + 3
2.
-3m + 14 = 5m + 38
Homework: 4-3 # 1-18 Check # 1-5 SHOW ALL WORK!!!
4.3 More Multistep Equations
Examples:
Solve each equation. Show all work.
1. 12 – 6z = 10 – 5z
Name ____________________________________________________________ Hour _______
Algebra 1A
Ch. 4 Notes
7
More Examples:
Solve each equation. Show all work.
2. 12p – 18p + 3 = -27
Homework: 4-3 # 19-30 Check # 19-24 SHOW ALL WORK!!!
4.4 Using the Distributive Property
Steps:
1. ______________________________________________________
2. Combine the variables
 If the variables are on the _____________________, use the
_______________________
 If the variables are on the _____________________, use the
_______________________
3.
Combine the numbers
 If the numbers are on the _____________________, use the
_______________________
 If the numbers are on the _____________________, use the
_______________________
4. ______________________________________________________
5. WHATEVER YOU DO TO ONE SIDE, DO THE SAME THING
TO THE OTHER!!!
Examples:
Solve the equation. Show your work.
1.
5(p – 2) = -15
2.
4t + 7 – t = 19
Homework: 4-4 # 1-12 Check # 1-5 SHOW ALL WORK!!!
Name ____________________________________________________________ Hour _______
Algebra 1A
Ch. 4 Notes
8
4.4 More Distributive Property Equations
Examples:
Solve each equation. Show all work.
1.
-4(3 – n) = 11(4n – 3)
2.
5(x + 3) = 9 – x
Homework: 4-4 # 13-24 Check # 13-18 SHOW ALL WORK!!!
4.5 Using Formulas and Literal Equations
Examples:
Solve each formula for the indicated variable.
1.
A = P + I, for P
2.
C = 2r, for r
Homework: 4-5 # 1-9 SHOW ALL WORK!!!
Name ____________________________________________________________ Hour _______
Algebra 1A
Ch. 4 Notes
9
4.5 More Formulas
Examples:
Solve each equation for the given variable.
1.
A = LW, for L
2.
M + NO = R, for N
Homework: 4-5 # 10-24 SHOW ALL WORK!!!
4-6 Graphing Inequalities
Steps:
1.
Draw a number line
 _________________________________________________
2.
Graph the solution with a circle on the number line
< or >
_____________________
< or >
_____________________
3.
Shade the number line to the correct side of the solution
< or <
_____________________
> or >
_____________________
Examples:
Graph the solution of the inequality.
1.
x>4
2.
x < -3
Homework: 4-6 # 1-24 all
3.
12 > x
Name ____________________________________________________________ Hour _______
Algebra 1A
Ch. 4 Notes
10
4-6 Writing Inequalities
Key words for inequalities:
Greater than (>)
 ___________________
 ___________________
Less than (<)
 ___________________
 ___________________
Greater than or equal to (>)
 ___________________
 ___________________
Less than or equal to (<)
 ___________________
 ___________________
 ___________________
Examples:
Write an inequality for each sentence.
1.
A number d is negative.
2.
A number x is more than -2.
3.
A number p is at most -8.
Homework: 4-6 # 25-40 all
Name ____________________________________________________________ Hour _______
Algebra 1A
Ch. 4 Notes
11
4-7 Solving Inequalities
Steps:
1. ______________________________________________________
2. Combine the variables
 If the variables are on the _____________________, use the
_______________________
 If the variables are on the _____________________, use the
_______________________
3.
Combine the numbers
 If the numbers are on the _____________________, use the
_______________________
 If the numbers are on the _____________________, use the
_______________________
4. ______________________________________________________
5. WHATEVER YOU DO TO ONE SIDE, DO THE SAME THING
TO THE OTHER!!!
Examples:
Solve each inequality. Graph your solution.
1.
2.5 + j < 4.8
3.
2 3
 m
5 8
2.
Homework: 4-7 # 1-25 SHOW ALL WORK!!!
h+8>4
Name ____________________________________________________________ Hour _______
Algebra 1A
Ch. 4 Notes
12
4-7 More Solving Inequalities
Examples:
Solve each inequality. Graph your solution.
1.
3x > 9
2.
3.
-4x + 7 < 11
3m – 8 + 7 > -13
Homework: 4-7 # 26-50 SHOW ALL WORK!!!
4-8 Compound Inequalities
Steps:
1.
______________________________________________________
2.
______________________________________________________
Examples:
Solve each compound inequality. Graph the solution.
1.
-3 < x < 5
2.
9>x>4
3.
8 < 2x – 6 < 20
Homework: 4-8 # 1-13 SHOW ALL WORK!!!
Name ____________________________________________________________ Hour _______
Algebra 1A
Ch. 4 Notes
13
4-8 More Compound Inequalities
Examples:
Solve each compound inequality. Graph the solution.
1.
2x – 7 > 9 or 3x + 8 < 2
2.
-8 > -2x + 6 > -20
Homework: 4-8 # 14-33 all
4-8 Review
Multiplying Fractions:
 ___________________________________________________
 ___________________________________________________
 ___________________________________________________
Adding and Subtracting Fractions:
 ___________________________________________________
 ___________________________________________________
 ___________________________________________________
 ___________________________________________________
 ___________________________________________________
Order of Operations
 _____________________
 _____________________
 _____________________/____________________
 _____________________/____________________
Name ____________________________________________________________ Hour _______
Algebra 1A
Ch. 4 Notes
14
Examples:
Solve.
1.
7
30 
 10 
3.
6  48
2.
2
3
3 2
5
8
Homework: 4-8 # 38-75 all SHOW ALL WORK!!!
Name ____________________________________________________________ Hour _______
15
Monday
Tuesday
Thursday
Warm-ups for 11/9-11/13
Wednesday
Friday
Quiz 4.1-4.2
Name ____________________________________________________________ Hour _______
16
Monday
Tuesday
Thursday
Warm-ups for 11/16-11/20
Wednesday
Friday
Name ____________________________________________________________ Hour _______
17
Monday
Tuesday
Quiz 4.3-4.4
Wednesday
No School
Thursday
No School
Friday
Warm-ups for 11/23-11/27
No School
Name ____________________________________________________________ Hour _______
18
Monday
Tuesday
Thursday
Warm-ups for 11/30-12/4
Wednesday
Friday
Name ____________________________________________________________ Hour _______
19
Monday
Tuesday
Thursday
Warm-ups for 12/7-12/11
Wednesday
Friday
Quiz 4.5-4.9
Name ____________________________________________________________ Hour _______
20
Monday
Wednesday
Thursday
Chapter 4 Test
Friday
Warm-ups for 12/14-12/18
Tuesday
Chapter 4 Test