1.1.4 Simplifying Algebraic Expressions - Worksheet
Example 1: Write an algebraic expression to represent each situation. 1. the cost of c containers of yogurt at $0.79 each
2. the area of a rectangle with length l meters and width 8 meters
Example 2: Evaluate each expression for the given values of the variables. 3. a 2 + b 2 − 2 ab for a = 5 and b = 8 4. − + xy x y 3 9 2 2
x
= 2 and 4 y
for
=
Example 3: Simplify each expression. 5. − 8 a + 9 − 5 a + a
6. − 2(2 x + y ) − 7 x + 2 y
7. 1 + ( ab − 5 a )5 − b 2
Example 4: 8. Regan runs and bicycles every day for a total of 60 minutes.
Her body uses 9 Calories per minute during running and 7 Calories per minute during bicycling. a. Write and simplify an expression for the total Calories Regan uses running and bicycling each day. b. How many Calories does she use on a day when she runs for 20 minutes?
29
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