Cook - Algebra 1
Name _
3.1 Solving One-Step Equations
Equations are expressions that _
Solving Equations means _
In the game of algebra, these are _
_ same number to _
_ same number to _
_ same number to _
_ same number to _
Example 1 Solve the equation
Cook - Algebra 1
Name _
3.2 Solving Two-Step Equations
Identify the operations involved in the equation 3x + 7 = 19.
Operations Performed on x
Operations to Isolate x
1. Multiply by _ .
1. Subtract _ .
2. Add _ .
2. Divide by _ .
Inverse Operations (How t
Cook - Algebra 1
Name _
3.4 Solve Equations with Variables on Both Sides
Example 1
Solve
15 + 4a = 9a - 5
Example 2
Solve
4x 12 = 6(x + 3)
Guided Practice
1. 3b + 7 = 8b + 2
2.
6d 6 =
3
(4d + 8)
4
Vocabulary
Identity: An equation that is _ for _ of the
Cook - Algebra 1
Name _
3.5 Ratios & Proportions
Vocabulary
Ratio: The use of _ to compare to quantities
Proportion: An _ that states to _ are equivalent
Example 1
A person makes 6 long distance calls and 15 local calls in 1 month.
(a) Find the ratio of
Cook - Algebra 1
Name _
2.7 Square Roots
Square Root of a Number
Example 1: Evaluate the expression.
(a)
36
(b)
16
(c)
289
0
(d)
Example 2: Identify each of the following numbers as a whole number, an integer, or a rational number.
Number
144
49
32
5
2
Cook - Algebra 1
Name _
2.6 Divide Real Numbers
Vocabulary
The product of a number (except _ ) and its _ is _ .
Example 1: Find the multiplicative inverse and justify your answer.
Number
(a)
Reason
9
(b)
Multiplicative Inverse
2
3
(c)
(d)
5
6
3
Division R
Integrated Math 1
1.1 Evaluating Powers
GUIDED NOTES
Vocabulary Check
A _ is an expression that represents repeated multiplication of the same
number.
A power written in exponential form using a _ and an _
The _ tells what number is being multiplied
The _
Cook - Algebra 1
Name _
2.2 Add Real Numbers
Using a Number Line to Add Integers
To add a _ number, move to the _ on a number line.
-5 + 7 = _
To add a _ number, move to the _ on a number line.
(-3) + (-7) = _
Example 1: Find the sum.
3 + (-5) =
_
-4 + (-
Integrated Math 1
1.1 Evaluating Algebraic Expressions
GUIDED NOTES
Vocabulary Check
A _ is an unknown number usually represented by a letter,
such as n or x.
Algebraic _, such as n + 5 or x 9 , can be used to describe
word phrases.
Algebraic Expression
M
Cook - Algebra 1
Name _
3.6 Solving Proportions Using Cross Products
Example 1
Solve the proportion
6
3
=
x x 2
Guided Practice
1.
8 4x
=
6
3
2.
a
2
=
a + 18 8
Example 2 To feed your plants, you need to mix 3 tablespoons of plant food with 16 ounces of