Algebra 1 Final Exam Outline – May 2015
The focus of the exam will be on Chapters 3, 5, 6A and 7, but because the topics build on one another, the chapters from 1st semester should also be reviewed.
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Chapter 1 – Foundations for Algebra
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Section 1-1 (Variables and Expressions)
Create algebraic expressions to represent real-world situations
Evaluate algebraic expressions
Section 1-2 (Adding and Subtracting Real Numbers)
Add and subtract positive and negative numbers without a calculator
Section 1-3 (Multiplying and Dividing Real Numbers)
Multiply and divide positive and negative numbers without a
calculator
Section 1-4 (Powers and Exponents)
Calculate powers of integers, decimals, and fractions without a
calculator
Section 1-6 (Order of Operations)
Simplify numerical expressions using order of operations
Section 1-7 (Simplifying Expressions)
Apply the commutative, associative, and distributive property to more
easily do computation with mental math
Simplify algebraic expressions by combining like terms
Section 1-8 (Introduction to Functions)
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Graph ordered pairs in the coordinate plane
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Chapter 3 – Inequalities
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Chapter 2 – Equations
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Section 2-1 (Solving Equations by Adding or Subtracting)
Solve one-step equations using addition or subtraction
Apply one-step equations to solve real-world problems
Section 2-2 (Solving Equations by Multiplying or Dividing)
Solve one-step equations using multiplication and division
Apply one-step equations to solve real-world problems
Section 2-3 (Solving Two-Step and Multi-Step Equations)
Solve multi-step linear equations
Apply multi-step equations to solve real-world problems
Section 2-4 (Solving Equations with Variables on Both Sides)
Solve equations with variables on both sides of the equals sign
Apply equations with variables on both sides to solve real-world
problems
Section 2-5 (Solving for a Variable)
Solve an equation in two or more variables for one of the variables
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Section 3-1 (Graphing and Writing Inequalities)
Write and graph inequalities in one variable
Section 3-2 (Solving Inequalities by Adding or Subtracting)
Solve one-step inequalities using addition and subtraction and graph
the solutions
Apply one-step inequalities to solve real-world problems
Section 3-3 (Solving Inequalities by Multiplying or Dividing)
Solve one-step inequalities using multiplication and division and graph
the solutions
Apply one-step inequalities to solve real-world problems
Section 3-4 (Solving Two-Step and Multi-step Inequalities)
Solve multi-step inequalities and graph the solutions
Apply multi-step inequalities to solve real-world problems
Section 3-5 (Solving Inequalities with Variables on Both Sides)
Solve inequalities with variables on both sides
Apply inequalities with variables on both sides to solve real-world
problems
Section 3-6 (Solving Compound Inequalities)
Solve compound inequalities in one variable
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Graph solution sets of compound inequalities in one variable
Chapter 5 – Linear Functions
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Section 5-1 (Identifying Linear Functions)
Identify linear functions from tables, graphs, and equations
Graph linear functions using function tables
Section 5-2 (Using Intercepts)
Graph linear functions using x- and y-intercepts
Calculate x- and y-intercepts when given a linear equation
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Interpret the meaning of x- and y-intercepts in real-world situations
Section 5-3 (Rate of Change and Slope)
Calculate slope as rise/run
Identify lines with positive, negative, zero, and undefined slope
Section 5-4 (The Slope Formula)
Use the slope formula to calculate slope from a table, graph, equation,
or pair of points
Interpret the meaning of slope in real-world situations
Section 5-7 (Slope-Intercept Form)
Writeequations of lines in slope-intercept form given the slope and a
point
Write equations in slope-intercept form when given two points
Write equations in slope-intercept form when given the graph
Graph lines when given the equation in slope-intercept form
Write equations in slope-intercept form to model real-world situations
Convert equations from slope-intercept form to standard form
Section 5-8 (Point-Slope Form)
Write equations in point-slope form when given the slope and a point
Write equations in point-slope form when given two points on the line
Write equations in point-slope form when given the graph of the line
Graph lines when given the equation in point-slope form
Convert equations from point-slope form to slope-intercept form
Section 5-9 (Parallel and Perpendicular Lines)
Identify parallel and perpendicular lines from their equations
Write equations of lines (in all forms) that pass through a given point
and are parallel to a given line.
Write equations of lines (in all forms) that pass through a given point
and are perpendicular to a given line.
Chapter 6A–Systems of Linear Equations
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Section 6-1 (Solving Systems by Graphing)
Solve systems of two linear equations by graphing
Section 6-2 (Solving Systems by Substitution)
Write systems of equations to model real-world situations
Solve systems of two linear equations by substitution method
Section 6-3 (Solving Systems by Elimination)
Solve systems of two linear equations by elimination method
Section 6-4 (Solving Special Systems)
Determine number of solutions for a system of two linear equations
Chapter 7 -- Exponents and Polynomials
 Section 7-1 (Integer Exponents)
- Evaluate and simplify expressions containing integer exponents
 Section 7-2 (Powers of 10 and Scientific Notation)
- Convert between standard and scientific notation
 Section 7-3 (Multiplication Properties of Exponents)
- Use multiplication & power properties to simplify and evaluate
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expressions
Section 7-4 (Division Properties of Exponents)
Use division properties to simplify and evaluate expressions
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Section 7-6 (Polynomials)
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Section 7-7 (Adding and Subtracting Polynomials)
Section 7-8 (Multiplying Polynomials)
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Classify polynomials and write them in standard form.
Multiply monomial by polynomials and to multiply binomials
Section 7 -9 (Special Products of Binomials)
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Multiply difference of square binomials and to square a binomial