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Math 60 ~ Test 1 Review 2 3 and d 6 compute the following. 1. Given a , b 4, c 3 2 a. d a 2 c 2 b. d c 4 b a 2 c. 9 b c a 2 d b d 2. Write each of the following using symbols. a. One half the product of the height h and the sum of two unequal sides b1 and b2 . b. The quotient when 7 less than a number is divided by 3. c. The sum of the square of a number and three times the same number divided by 1 more than that number. 3. Lesley has $782 in her account. She wrote a check for d dollars. Write an expression for the amount of money remaining in her account. 4. The length of a pool is 4 more than three times its width. Find an algebraic expression representing the perimeter of the pool. 6 5. Find an expression for the perimeter of the given object. Simplify 4 x 2 3x 2 x 2 2x 2 8x 2 6. Find the difference of 3 p 3 2 2 5 p 9 and 4 p 3 p 2 p . 3 3 7. Subtract the sum of 3 y 2 3 y and 5 y 2 3 y from 2 y 2 8 y . 8. The revenue for selling y units is R 3 y 2 2 y 5 and the cost of producing y units is C y 2 y 3 . Find an expression that represents profit. 9. Use the roster method to list the elements in each set then plot on a number line. a. The set of all prime numbers between 20 and 40. b. The set of integers greater than 2 and les than or equal to 8. 10. Use set builder notation, interval notation and a number line to describe each set. a. The set of all real numbers greater than or equal to 54 . 2 b. The set of all real numbers less than . 3 c. The set of all real numbers between 3 and 3.87. 11. Let A 1, 2,3, 7,9,11 , B x x is an even whole number less than 10 , and C x x is a composite whole number greater than 1 and less than or equal to 14 . a. Find A B C . b. Find B C A