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LESSON 1-1 Practice B Evaluating Algebraic Expressions Evaluate each expression for the given value of the variable. 1. 6x + 2 for x = 3 2. 18 − a for a = 13 _______________________________________ 3. 1 y for y = 16 4 ________________________________________ 4. 9 − 2b for b = 3 _______________________________________ ________________________________________ Evaluate each expression for the given values of the variables. 5. 2x + y for x = 7 and y = 11 6. 4j − k for j = 4 and k = 10 _______________________________________ 7. 7(n − m) for m = 4 and n = 15 ________________________________________ 8. w(14 − y) for w = 8 and y = 5 _______________________________________ ________________________________________ 9. If m is the number of minutes a taxi ride lasts, then 2 + 0.35m can be used to find the cost of a taxi ride with Bill’s Taxi Company. How much will it cost for a 12-min taxi ride? LESSON 1-2 _________________ Practice B Writing Algebraic Expressions Write an algebraic expression for each word phrase. 1. 6 less than twice x 2. 1 more than the quotient of 21 and b _______________________________________ 3. the sum of 11 times s and 3 ________________________________________ 4. 7 minus the product of 2 and x _______________________________________ 6 ________________________________________ Holt McDougal Mathematics Write a word phrase for each algebraic expression. 5. 2n + 4 6. 3r − 1 _______________________________________ 7. 10 − 6n 8. 7 + ___________________________________________ LESSON 1-3 ________________________________________ 2 c ________________________________________ Practice B Properties of Numbers Use properties to determine whether the expressions are equivalent. 1. (8 + 2d) + 3m and 8 + (2d + 3m) 2. 45 − 6y and 6y − 45 _______________________________________ 3. 7(18r + 13) and 126r + 20 ________________________________________ 4. 16w(0) = 0 _______________________________________ ________________________________________ Find a counterexample to disprove each conjecture. 5. A rational number is always an integer. _______________________________________________ 6. The sum of two prime numbers is always a prime number. ___________________________ 7. The absolute value of a whole number is always positive. ____________________________ 8. The difference of two whole numbers is always a whole number. ____________________ 9. Felipe wanted to triple a recipe he was using to make an apple pie. The original recipe used 8 apples and 2 cups of flour. How many apples and how much flour should Felipe use? _____________________________________ 6 Holt McDougal Mathematics