Table of Contents
Introduction to the Teacher 1
Real Numbers 2
Skills Covered: Real number line
Ordering numbers
Reciprocals
Order of operation
Absolute value
Comparing numbers
Addition, subtraction, multiplication, and division of real numbers
Properties of real numbers
Algebraic Expressions 6
Skills Covered: Variables, exponents, coefficients, like and unlike terms, simplifying and evaluating expressions, translating phrases to algebraic expressions, open sentences, solution sets
Linear Equations & Inequalities 11
Skills Covered: Simplifying expressions
Addition, subtraction, multiplication, and division properties
Percents
Solving linear equations
Solving linear inequalities
Polynomials 18
Skills Covered: Exponents and scientific notation
Multiplication and division of monomials
Addition, subtraction, multiplication, and division of polynomials
Factoring 23
Skills Covered: Greatest common factors and monomial factors of polynomials, factoring trinomials, factoring the difference of squares, factoring by grouping
Rational Expressions 28
Skills Covered: Simplifying rational expressions, multiplying and dividing rational expressions, least common denominator, adding and subtracting rational expressions, ratios and proportions
Linear Equations & Inequalities in Two Variables 33
Skills Covered: Rectangular coordinate system, graphing linear equations, linear equations, linear equations in two variables, slop-intercept, equations of lines
Systems of Linear Equations & Inequalities 38
Skills Covered: Solving systems of linear equations by graphing, elimination, and substitution
Solving systems of linear inequalities
Square Roots & Radicals 42
Skills Covered: Simplifying square root expressions
Addition, subtraction, multiplication, and division of square roots
Equations involving square roots
Pythagorean Theorem
Quadratic Equations 48
Skills Covered: Solving quadratic equations by factoring, by the square root method, by completing the square, and by the quadratic formula
Student Reference Page 52
Answer Keys 53
