Review operations on integers

• Include order of operations
• Include absolute value
• Include exponents
• Include operations with fractions
• Include operations with decimals

Evaluate algebraic expressions

• Include fractions and decimals

Simplify algebraic expressions using the distributive property

• Include combine like terms
• Include fractions

Apply the Pythagorean Theorem

• Include word problems

Probability

• Single events
• Independent events (two-stage with replacement)
• Dependent events (two-stage without replacement)

Statistics

• Calculate mean, median, mode
• Answer questions given graphical representations of data:
  • Scatterplots
  • Stem-and-leaf plots
  • Histograms
  • Line graphs
  • Box-and-whisker plot

Develop and use elementary transformations to solve one-step equations and inequalities:

• Addition
• Subtraction
• Multiplication
• Division
• Include work with fractions and decimals

Solve two-step equations and inequalities in the form ax + b = c

• Graph solutions to inequalities on number lines

Solve multi-step equations and inequalities with variables on both sides of the equal sign

• Graph solutions on number lines
• Include multiply by LCD to clear fractions

Solve multi-step equations and inequalities involving the distributive property and combining like terms

• Graph solutions to inequalities on number lines
• Include multiply by LCD to clear fractions

Solve equations resulting from applications involving:

• Complementary and supplementary angles
• Vertical angles
• Parallel lines cut by a transversal
• Sum of the interior angles of triangles and quadrilaterals

Solve problems dealing with similar polygons

• Include solve proportion equations

Translate word phrases into algebraic expressions

Translate sentences into algebraic equations and inequalities

Solve word problems including the following types:

• Number
• Age
• Consecutive integers
• Angle relationships (dealt with above)
• Rate-time-distance
• Cost
• Wage

Classify polynomials as monomial, binomial, trinomial, or polynomial
Use laws of exponents to simplify algebraic expressions

• Definition of exponents
• Product of powers
• Power of a power
• Power of a product
• Definition of negative exponent
• Definition of zero as an exponent
• Quotient of powers
• Power of a quotient
• Divide polynomials by a monomial

Add and subtract polynomials (review of combining like terms)

Multiply polynomials

• Monomial times a polynomial
• Binomial times a binomial
• Binomial times a trinomial
• Difference of two squares type
• Square of a binomial

Factor polynomials using algebraic methods:

• GCF
• Grouping
• Trinomials a = 1
• Trinomials a > 1
• Perfect square trinomials
• Difference of two squares
• Multiple steps

Solve quadratic equations using the Zero Product Property

• Include area applications

Determine if a relation is a function from:

• Graph
• Mapping
• A list of ordered pairs
• A table of values
• Match an algebraic equation to a table of values and vice-versa

Find the range of a function from its:

• Graph
• Table of values
• List of ordered pairs
• Algebraic expressions given the domain

Find the slope of a line using:

• Given points
• The graph of a line
• Slope-intercept equations
• Standard form equations

Graph linear equations using the slope and y-intercept (Slope-intercept form)
Graph linear equations using the x- and y-intercepts (Standard form)

• Show how to transform standard form into slope-intercept form

Graph linear equations given certain conditions:

• 2 points
• x- and y-intercepts
• Point and slope
• Slope and either x- or y-intercept

Write the equation of a line given:

• 2 points
• x- and y-intercepts
• Slope and a point
• Graph

Identify the graphs of common relations:

• x = constant
• y = constant
• y = x
• 
• 
• 

Solve systems of linear equations by:

• Graphing
• Substitution