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July 20101Homework/Class Work/Quiz 1A _____________________________________________________________ 1. Name the operation that is to be performed in the following algebraic expressions. a) x+2 b) x−2 c) )(2 x− d) 2x e) x2 2. Fill in the blanks with numbers to make the statement true. a) __________⋅= AA b) __________0 ⋅= A c) __________⋅=− AA2 Homework/Class Work/Quiz 1B _____________________________________________________________ 1. In the following expressions parentheses are needed. Explain why they are needed. a) )(4 x−+ b) )(4 x−÷ c) 3)2( x d) 4)2( +a e) zxy )(− 2. Determine which expression is raised to the 5-th power. a) 5)( x− b) 5)(xy− c) 5)( zxy− d) 5)4( x− e) 5)( xy− f) yx53Homework/Class Work/Quiz 1C _____________________________________________________________ 1. Write the following phrases as algebraic expressions. Remember to place parentheses when needed. Do not simplify. a) n− subtracted from m b) The product of a− and b− c) n− divided by m− d) The sum of x, p and y e) ab raised to the tenth power f) ab2 squared g) The opposite of 72a− h) The opposite of 72−−a4 Homework/Class Work/Quiz 1D _____________________________________________________________ 1. Use the letter x to represent a number and write the following phrases as algebraic expressions. Do not simplify. a) One-eighth of a number b) A number multiplied by 3− c) A number subtracted from 3− d) The product of AB and a number. 2. Let a be a variable representing the length of the side of a square. Use a to write the following statements as algebraic expressions. a) Four times the side of a square. b) The side of a square raised to the second power. c) The side of a square doubled.5Homework/Class Work/Quiz 1E _____________________________________________________________ 1. Give your answer in the form of an algebraic expression. a) John has xdollars in his bank account. How much money will John have in the bank, after he withdraws $100? b) John’s salary is xdollars. He got a new job and his salary doubled. How much does John earn in his new job? c) If a family has x children, and each of those children has 3 children of his own, how many grandchildren are there? d) If a family has x children, and each of those children has x children of his own, how many grandchildren are there? 2. Let t be a variable representing temperature on a given day. Use the variable to write the following statement as an algebraic expression. a) The temperature on the given day increased by 5 degrees. b) The temperature on the given day decreased by 5 degrees.6 Homework/ Class Work/Quiz 1F _____________________________________________________________ 1. Evaluate, if possible, each of the following expressions when9=x. If not possible, explain why it is not possible to evaluate. a) 2+x b) x−10 c) x4 d) x18 2. Evaluate the following when 3=x. a) x2 b) 2x c) xx 3. Circle all expressions that cannot be evaluated, when10=x. Explain why they cannot be evaluated. 03,102,106,10,101,510,105,30 xxxxxxxx −+−−−7Homework/Class Work/Quiz 1G _____________________________________________________________ 1. Let 10=a. Rewrite the expression replacing the variable with its value, and then evaluate, if possible. Otherwise, write “undefined”. a) a+−12 b) a−− 5 c) 723 −−+− a d) 5a e) a22− f) 105−a g) a−08 Homework/Class Work/Quiz 1H _____________________________________________________________ 1. Let .1−=v Rewrite the expression replacing the variable with its value, and then evaluate, if possible. Otherwise, write “undefined”. a) v− b) 8−v c) )2(−÷v d) v−− 3 e) v4− 2. Let 2−=x. Rewrite the expression replacing the variable with its value, and then evaluate, if possible. If evaluation is not possible, write “undefined”. a) 72 ++− x b) x4 c) x400 d) )1(−÷x9Homework/Class Work/Quiz 1I _____________________________________________________________ 1. Let 73=m. Rewrite the expression replacing the variable with its value and evaluate, if possible. Otherwise, write “undefined”. a) m−7120 b) m+141 c) 2+m d) m2− e) m4 f) m÷−219 g) 9812⋅⋅− m10 Homework/Class Work/Quiz 1J _____________________________________________________________ 1. Let 97−=x. Rewrite the expression replacing the variable with its value, and then evaluate, if possible. Otherwise, write “undefined”. a) x−31 b) 1−− x c) 9832−+ x d) x215 e) x÷−14 f) 97+− x g) 2x11Homework/Class Work/Quiz 1K _____________________________________________________________ 1. Let 6.0=y . Rewrite the expression replacing the variable with its value, and then evaluate, if possible. Otherwise, write “undefined”. a) 86.72+y b) y−3.1 c) 2.0−− y d) y01.0 e) 0y f) y12.0− g) 01.0y−12 Homework/Class Work/Quiz 1L _____________________________________________________________ 1. Let 1.1−=x
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