WARM UP 4 EVALUATING EXPRESSIONS Evaluate the expression for the given variable. 1. x + 3 when x = 2 2. x – 7 when x = 10 3. 3x when x = 0 4. (x)(5) when.

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WARM UP 4 EVALUATING EXPRESSIONS Evaluate the expression for the given variable. 1. x + 3 when x = 2 2. x – 7 when x = 10 3. 3x when x = 0 4. (x)(5) when x = 15

WARM UP 3 EVALUATING EXPRESSIONS Evaluate the expression for the given variable. 1. x + 3 when x = 2 2. x – 7 when x = 10 3. 3x when x = 0 4. (x)(5) when x = 15

WARM UP 2 EVALUATING EXPRESSIONS Evaluate the expression for the given variable. 1. x + 3 when x = 2 2. x – 7 when x = 10 3. 3x when x = 0 4. (x)(5) when x = 15

WARM UP 1 EVALUATING EXPRESSIONS Evaluate the expression for the given variable. 1. x + 3 when x = 2 2. x – 7 when x = 10 3. 3x when x = 0 4. (x)(5) when x = 15

WARM UP EVALUATING EXPRESSIONS Evaluate the expression for the given variable. 1. x + 3 when x = 2 2. x – 7 when x = 10 3. 3x when x = 0 4. (x)(5) when x = 15

GOAL: Add real numbers using a number line or the rules of addition. 2.2 Absolute Value GOAL: Add real numbers using a number line or the rules of addition. KEY WORDS: Closure property Commutative property Associative property Identity property Inverse property

2.3 Adding Real Numbers The sum of any two real numbers isitself a unique real number. WE say that the real numbers are closed under addition. This fact is called the the closure property of real number addition. Addition can be modeled with movements on a number line.

ADD USING A NUMBER LINE A. -2 + 5 B. 2 + (-6)

RULES OF ADDITION To add two numbers with the same sign: Add their absolute values Attach the common sign. To add two numbers with opposite signs: Subtract the smaller absolute value from the larger one. Attach the sign of the number with larger absolute value

USING RULES OF ADDTION Add -4 and -5, which have the same sign. ADD their absolute values 4 + 5 = 9

USING RULES OF ADDTION Attach the common (negative) sign -(9) = -9 Answer> -4 + (-5) = -9

USING RULES OF ADDTION Add 3 and -9, which have opposite signs. SUBTRACT their absolute values. 9 – 3 = 6

USING RULES OF ADDTION Attach the sign of the number with largaer absolute value -(6) = -6 Answer > 3 + (-9) = -6

USING THE PROPERTIES OF ADDITION 4 + (-6) + 9 b. -0.5 + 3 + 0.5 Use associative property Add -6 and 9 Add 4 and 3 Use commutative property Use inverse property Use identity property