Learn Integers, Equations, Rational Numbers and more. This tutorial contains over 800 practice exercises and lessons in the following topics:
• Unit I. Integers
Representing Integers, Opposites and Absolute Value, Expressions and Variables, Order of Operations, Evaluating Expressions.
• Unit II. Equations
Equations, Open Equations and Solutions, Properties of Operations, Distributive Property, Simplifying Equations, Addition and Substraction Equations, Multiplication and Division Equations.
• Unit III. Rational Numbers
Definitions, Decimals as Fractions, Adding and Subtracting Decimals, Adding and Subtracting Like Fractions, Adding and Subtracting Unlike Fractions, Dividing Fractions, Dividing Decimals.
• Unit IV. Number Theory
Exponents and Roots, Scientific Notation, Factors and Multiples, Greatest Common Factors, Least Common Multiple.
• Unit V. Percent
Ratios, Proportion and Percent, Solving Proportions.
• Unit VI. Equations and Inequalities
Solving Multi-step Inequalities.

## Glossary

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 Absolute value of a number The number of units the number is from zero on the number line. Algebraic expression A combination of variables, numbers and at least one operation Algebraic fraction Fractions with variables in the numerator and /or denominator Closure property of addition For all rational numbers x and y, x + y is a rational number Closure Property of multiplication For all rational numbers X and Y, X x Y is a rational number Common ratio The ratio between any two successive terms in a geometric sequence Compound statement One statement formed by connecting two simple statements with words such as and, or , if, then, and if and only if Consecutive even integers Numbers given when beginning with an even integer and counting by two's Consecutive numbers Numbers in counting order Consecutive odd integers Numbers given when beginning with an odd integer and counting by two's Consistent A system of equations is consistent and independent if it has one ordered pair as its solution. A system of equations is consistent and dependent if it has infinitely many ordered pairs as its solution Constant A monomial that does not contain a variable. Decimal notation A way of expressing numbers using a base ten system. 483.26 is expressed in decimal notation Degree of a monomial The sum of the exponents of the variables of the monomial Density property Between every pair of distinct rational numbers, there is another rational number Domain The domain of a relation is the set of all first components from each ordered pairs Element One of the members of a set Empty set A set with no elements Equally likely events Events that has an equal chance of occurring Excluded value A value excluded from the domain of a variable because that value substituted for the variable would result in a denominator of zero Factorial The expression n! is the product of all accounting numbers beginning with n and counting backwards to 1 Function A function is a relation in which each element of the domain is paired with exactly one element of the range Functional Value The symbol f(3) represents the functional value of f for x = 3 Geometric sequence A sequence in which the ratio between any two successive terms is the same. Grouping symbols Symbols used to clarify or change the order of operations in an expression. Parentheses, brackets, and the fraction bar are grouping symbols Independent events Two or more events in which the outcome of one event does not affect the outcome of the other event(s). Integers The set of numbers {. . . , -3, -2, -1, 0, 1, 2, 3, . . } Intercept An intercept is a point where a graph crosses the x-axis or y-axis Interquartile range The difference between the upper quartile and the lower quartile of a set of a data is called the interquartile range. It represents the middle half of the data in the set Irrational numbers Numbers that cannot be expressed in the form a / b, where a and b are integers, b is not equal to zero Line plot Numerical information displayed on a number line Linear equation An equation for which the graph is a straight line Logic The study of formal reasoning Lower Quartile The lower quartile divides the lower half of the set of data into two equal parts Mean The sum of the numbers in a set of data divided by the number of pieces of data Median In a set of data, the median is the number in the middle when the data are organized from least to greatest Mode The number or item that appears most often in a set of data Natural numbers The set of numbers { 1, 2, 3 . . .} Null set A set with no elements Open sentence A sentence containing at least one variable. The sentence is neither true nor false Opposite The opposite of a number is its additive inverse Percent of decrease The ratio of an amount of decrease to the previous amount, expressed as a percent Percent of Increase The ratio of an amount of increase to the previous amount, expressed as a percent Percentage A number which is compared to another number (base) in the percent proportion Probability The ratio that tells how likely it is that an event will take place P (event) = number of favorable outcomes / number of possible outcomes Property of proportions If a / b = c / d then ad = bc Pythagorean Theorem In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the length of the legs Range The difference between the least and greatest numbers in a set of numbers. Real numbers Irrational numbers together with rational numbers form the set of real numbers Scale A ratio that compares the size of a model to the actual size of the object being modeled Stem-and-leaf plot In a stem-and-leaf plot, each piece of data is separated into two numbers that are used to form the stem and leaf. The data are organized into two columns. The column on the left is the stem and the column on the right is the leaf Upper quartile The upper quartile divides the upper half of the set of data into two equal parts Variables Placeholders in mathematical expressions or sentences Whole numbers The set of numbers { 0, 1, 2, 3, . . . }