C955 Module 3: Basic Algebra Objective
Assessment & Exercises
Applied Probability and Statistics (Western Governors
University)
,C955 Module 3: Basic Algebra
Objective Assessment Percentage:
Formulas Needed:
Slope intercept form of a line:
𝑦 = 𝑚𝑥 + 𝑏
• m=slope=௦
௨
• b=y-intercept=the point (0, 𝑏)
Basic tips for inequalities in one-variable:
• Flip the direction of the inequality sign when multiplying or
dividing by a negative
,
, 3.02 Algebraic Conventions & Notation
An operation is a mathematical procedure which can generate a new value.
A constant is a number with a fixed value. All real numbers are constants, including 0, 1.5, −10, an
𝜋.
A variable is a symbol that represents or holds the place of a numerical value. Often, a variable will
be a letter from the Western alphabet (a, b, c, …) or Greek alphabet (α, β, γ, …).
An exponent, sometimes called a power, is a quantity that represents repeated multiplication.
Example: 6 ଷ = 6 ∗ 6 ∗ 6
Multiplying Variables: Writing variables and numbers next to one another indicates multiplication.
𝐸𝑥𝑎𝑚𝑝𝑙𝑒: 2𝑥 means 2 ∗ 𝑥. This can be read as 2 times 𝑥.
In algebra, constants often take the form of coefficients. A coefficient is a number by which a variabl
is being multiplied.
A term can be many things: a single constant, such as 5, a single variable, such as 𝑥, or a term can
also be any number of constants and variables multiplied together, such as 7𝑎𝑏.
The degree of an expression is the highest power
of the variable.
Example: What is the degree of the expression 3𝑥ଶ?
An algebraic expression is a set of terms containing numbers, variables, and operations. It is standa
to write expressions in descending order of exponent value with constants at the end of the
expression.
Assessment & Exercises
Applied Probability and Statistics (Western Governors
University)
,C955 Module 3: Basic Algebra
Objective Assessment Percentage:
Formulas Needed:
Slope intercept form of a line:
𝑦 = 𝑚𝑥 + 𝑏
• m=slope=௦
௨
• b=y-intercept=the point (0, 𝑏)
Basic tips for inequalities in one-variable:
• Flip the direction of the inequality sign when multiplying or
dividing by a negative
,
, 3.02 Algebraic Conventions & Notation
An operation is a mathematical procedure which can generate a new value.
A constant is a number with a fixed value. All real numbers are constants, including 0, 1.5, −10, an
𝜋.
A variable is a symbol that represents or holds the place of a numerical value. Often, a variable will
be a letter from the Western alphabet (a, b, c, …) or Greek alphabet (α, β, γ, …).
An exponent, sometimes called a power, is a quantity that represents repeated multiplication.
Example: 6 ଷ = 6 ∗ 6 ∗ 6
Multiplying Variables: Writing variables and numbers next to one another indicates multiplication.
𝐸𝑥𝑎𝑚𝑝𝑙𝑒: 2𝑥 means 2 ∗ 𝑥. This can be read as 2 times 𝑥.
In algebra, constants often take the form of coefficients. A coefficient is a number by which a variabl
is being multiplied.
A term can be many things: a single constant, such as 5, a single variable, such as 𝑥, or a term can
also be any number of constants and variables multiplied together, such as 7𝑎𝑏.
The degree of an expression is the highest power
of the variable.
Example: What is the degree of the expression 3𝑥ଶ?
An algebraic expression is a set of terms containing numbers, variables, and operations. It is standa
to write expressions in descending order of exponent value with constants at the end of the
expression.
