# Algebraic Expressions and Integers

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Algebraic Expressions and Integers
Pre-Algebra Chapter 1 Algebraic Expressions and Integers

Section 1-1 Variables and Expressions
is a letter or a symbol that replaces a number. Variable Variable expression is a mathematical phrase that uses variable, numbers and operation symbols. Numerical expression is a mathematical phrase that uses numbers and operation symbols.

Examples Identify each expression as a numerical expression or a variable expression. For a variable expression, name the variable. 7 x 3 8 + m x + y 27/9 5m k

Keywords Addition Subtraction Multiplication Division TOTAL SUM
MORE THAN INCREASED BY DIFFERENCE FEWER THAN LESS THAN DECREASED BY PRODUCT TIMES TWICE QUOTIENT DIVIDED BY

1-2 The Order of Operations
MD AS Work inside grouping symbols Solve all exponents Multiply & Divide left to right Add & Subtract left to right Remember order of operation by the following saying: Please Excuse My Dear Aunt Sally

Examples Simplify the following numerical expressions using the order of operations. a (2) b. 12/3-1(2)+1 c [(5+2)-1]

1-3 Writing and Evaluating Expressions

1-4 Integers and Absolute Value
Numbers that are the same distance from zero on a number line but in opposite directions are called opposites. Integers are the set of whole numbers and their opposites. A number’s distance from zero on a number line is called its absolute value.