Unit 1 – Foundations of Algebra
This unit covers verbal and algebraic expressions and algebraic patterns, order of operations, basic properties
of algebra, arithmetic with integers, number sets and absolute value. It also discusses comparing, ordering, adding,
subtracting, multiplying and dividing rational numbers, as well as square roots, squares, and irrationals.
Unit 2 – Equations and Their Applications
This unit covers one-step equations using addition, subtraction, multiplication, and division, as well as properties
of equality, two-step equations, complement, supplement, number, perimeter, and angle problems, clearing fractions
and decimals, consecutive integers, and multi-step and literal equations.
Unit 3 – More Applications with Equations
This unit discusses solving proportions. It also discusses similar triangles, percents, simple interest, percent
of increase or decrease, probability and odds.
Unit 4 – Foundations of Graphing
This unit covers ordered pairs and relations, graphing linear equations, definitions of and calculating slope,
and point-slope and slope-intercept formulas.
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Unit 5 – Inequalities and Systems of Equations
This unit discusses solving inequalities using addition, subtraction, multiplication, and division, as well as
multi-step inequalities and solving systems by substitution, addition, and multiplication.
Unit 6 – Polynomials
This unit covers polynomials and uses algebra tiles to demonstrate them, as well as to demonstrate
adding, subtracting, multiplying, and dividing polynomials. It also discusses multiplying polynomials
by monomials.
Unit 7 – More Operations with Polynomials
This unit discusses multiplying polynomials, special binomial products, factoring polynomials, binomial
factors, and using FOIL for multiplying binomials and factoring. It also discusses using the
zero product property to solve equations, simplifying, rational expressions, and dividing a
polynomial by a binomial.
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