About the Exercises for Grades 9-10

Learn Algebra, Equations, Linear Equations and more. This tutorial contains over 800 practice exercises and lessons in the following topics:
  • Unit I. The Language of Algebra
    Order of Operations, Expressions with Variables, Exponents and Factors, From words to Algebraic / Variable Expressions, Solving Equations by Inspection, The Whole Numbers, The Integers.
  • Unit II. Equations
    Solving Equations Using Addition and Subtraction, Solving Equations Using Multiplication and Division, Solving Equations Using Multiple Operators, Combining Like Terms and Solving.

Glossary

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Addition property of oppositesThe sum of a number and its opposite is zero. a + ( - a ) = 0 and - a + a = 0
Associative property of additionChanging the grouping of the terms does not change the sum. (a + b) + c = a + (b + c)
Associative property of MultiplicationChanging the grouping of the factors does not change the product (ab)c = a(bc)
BinomialA polynomial that has two terms
Common factorA number that is a factor of two numbers
Commutative property of additionChanging the order of the terms does not change the sum. a + b = b + a
Commutative property of MultiplicationChanging the order of the factors does not change the product ab = ba
Comparison PropertyFor any two numbers a and b, exactly one of the following is true: a > b, a < b, or a = b
Distributive PropertyEach term inside a set of parentheses can be multiplied by a factor outside the parentheses. For example, 3(80 + 10) = 3(80) + 3(10)
EquationA statement that two numbers or two expressions are equal
FactorWhen a whole number is divisible by a second whole number, the second number is a factor of the first
Factor a polynomialExpress a polynomial whose coefficients are whole numbers as the product of other polynomials whose coefficients are whole numbers
Greatest common monomial factor of a polynomialThe GCF of the terms of the polynomial
HistogramA type of bar graph that is used to show frequencies
HistogramIdentity property of addition
Identity property of MultiplicationThe Product of any number and 1 is the original number. a x 1 = a
InequalityA mathematical sentence that has an inequality symbol between two numbers or quantities.
Mixed ExpressionThe sum or difference of a polynomial and a rational expression
MonomialsAn expression that is either a real number, a variable, or a product of a real number and one or more variables
Multiplication property for equationsFor all real numbers a, b, and c; if a = b then ac = bc
Multiplicative identity elementThe number that when multiplied by any real number a equals the number a. The multiplicative identity element is 1.

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