Algebra 1

Final Exam Study Guide

Chapter 5

Writing linear equations given two points
Writing equations in standard form with integer coefficients

From an equation in slope-intercept form
From an equation in point-slope form
Given two points

Slopes of perpendicular lines
Showing mathematically that two lines are perpendicular
Writing the equation of a line perpendicular to a given line

Chapter 6

Solving one-step inequalities
Graphing one-step inequalities on a number line
Multiplying and dividing inequalities by a negative number
Solving multi-step inequalities
Solving inequality word problems
Solving and graphing compound inequalities

Involving “and”
Involving “or”

Solving absolute value equations
Solving and graphing absolute value inequalities
Graphing linear inequalities

Chapter 7

Solving systems of linear equations

By graphing
By substitution
By linear combinations

Using systems of linear equations to solve word problems
Systems of equations with no solution
Systems of equations with infinitely many solutions
Graphing systems of linear inequalities

Chapter 9

Finding the square root of a number
Evaluating radical expressions
Solving quadratic equations by finding square roots
Simplifying radicals
Rationalizing the denominator
Solving quadratic equations by using the quadratic formula
Using the discriminant to find the number of solutions to a quadratic equation

Chapter 10

Finding the degree of a monomial
Finding the degree of a polynomial in one variable
Identifying polynomials by degree
Identifying polynomials by the number of terms
Standard form of a polynomial
Adding and subtracting polynomials
Multiplying polynomials

Using the distributive property
Using the FOIL method

Factoring quadratic equations

Vocabulary

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