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**Algebraic Expressions and Integers**

Pre-Algebra Chapter 1 Algebraic Expressions and Integers

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**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.

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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

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**Keywords Addition Subtraction Multiplication Division TOTAL SUM**

MORE THAN INCREASED BY DIFFERENCE FEWER THAN LESS THAN DECREASED BY PRODUCT TIMES TWICE QUOTIENT DIVIDED BY

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**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

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

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**1-3 Writing and Evaluating Expressions**

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**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.

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1-5 Adding Integers When adding opposites, the sum is zero

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**Rules for Adding Integers**

Same Signs: The sum of two positive integers is positive. The sum of two negative integers is negative. Different Signs: To add two integers with signs, find the difference of their absolute values. The sum has the sign of the integer with the greater absolute value.

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**How to remember rules for Adding integers**

Same Signs Add Different Signs Subtract

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