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Bellringer. The table at the right shows the height of the first bounce when a ball is dropped from different heights. Write an equation to describe the relationship between the height of bounce and the drop height.
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Bellringer The table at the right shows the height of the first bounce when a ball is dropped from different heights. Write an equation to describe the relationship between the height of bounce and the drop height. Suppose you drop the ball from a window 20 ft above the ground. Predict how high the ball will bounce.
Ch. 1-2 Exponents & Order of Operations Pg. 9 - 15
Vocabulary -to simplify a numerical expression, you replace it with its simplest name. -an exponent tells how many times a number, the base, is used as a factor. Recall: -a power has two parts, a base and an exponent. Example: exponent base power
Example 1: Simplify the following expressions using order of operations. a.) 25 – 8 * 2 + 32 b.) 3 * 6 – 42 2 To evaluate an expression, you substitute a given number in for each variable. Then simplify the expression using the order of operations. Example 2: Evaluate the following expressions for a = 7 and b = 4 a.) 3a – 23 b b.) 2ab – b2* 2
Example 3: Simplify the following expressions. a.) 15(13 – 7) (8 – 5) b.) 2[(13 – 7)2 3] c.) 5 + [(2 + 1)3 – 3] d.) 12 + 3[18 – 5(16 – 13)]
Example 4: Evaluate the following expressions using exponents for r = 2 and t = 4. a.) rt2 b.) r2t c.) (rt)2