Must be able to divide quickly (at least up to 12).

Transcription

1 Math 30 Prealgebra Sec 1.5: Dividing Whole Number Expressions Division is really. Symbols used to represent the division operation: Define divisor, dividend, and quotient. Ex 1 Divide. What can we conclude? ( ) ( ) What can we conclude? Must be able to divide quickly (at least up to 12). Ex 2 A dinner totaling was split evenly among 5 people. How much does each person pay? Ex 3 Circle all expressions that represent. 6 divided by divided by 6 6 divided into divided into 6 the quotient of 18 and 6 6 split evenly into 18 parts Ex 4 Translate into an algebraic expression. a) 63 jelly beans divided equally among 3 children b) The quotient of 11 and 6 c) of an estate divided equally among 7 children Page 1 of 9

2 Ex 5 The cos of entire banquet will be $1071. If 63 members plan to attend, how much should the ticket price be to cover the cost of the banquet? Ex 6 Divide into Division Involving Zero (may appear on every exam) Define exponent and base. Sec 1.6: Writing Whole Number and Variables in Exponent Form Evaluate Bad answer: Never multiply and. Page 2 of 9

3 Ex 7 Write each product in exponential form. d) ( )( ) Ex 8 Expand each. a) b) ( ) c) Ex 9 Translate. a) Seven squared. b) Seven cubed. c) Two times seven squared. Ex 10 Evaluate. a) b) c) d) ( ) ( ) ( ) Page 3 of 9

4 Sec 1.7: More on Algebraic Expressions Ex 11 Evaluate. d) ( ) Distributive Property of Multiplication Over Addition For any real numbers, Ex 12 Simplify. ( ) ( ) ( ) d) e) f) ( ) ( ) ( ) Ex 13 Translate. Next, simplify if possible. a) Four times plus three. b) Nine times the sum of four and six. c) The sum of and three times nine. d) Five times the difference of six and. Page 4 of 9

5 Defn Sec 1.8: Introduction to Solving Linear Equations A term is a number, a variable, or a product of a number and variable(s). An expression is a sum or difference of one or more terms. A constant term is a term in an expression consisting of only a number. Like terms have identical variable parts. We can combine (+ or -) terms ONLY IF THEY ARE LIKE TERMS. Ex 14 Identify the terms, the coefficient of each term, and the variable parts. Ex 15 Fill in the blank space with the correct term to finish the statement. Ex 16 Combine like terms. (Simplify.) Ex 17 Find the perimeter of the rectangle. a b a b Ex 18 Translate but do not solve. a) If a number is subtracted from 65, the result is 2. b) Twenty-seven divided by what number is equal to thirty-six? c) Let represent Ryan s age. Double Ryan s age plus 11 years equals 35. Page 5 of 9

6 Ex 19 True or False. a) b) is a solution to. is a solution to the equation Ex 20 Solve and check. (Solve by translating first. Next, solve using principles (ch 3).) d) e) f) g) h) i) Ex 21 Solve and state any properties used. ( ) ( ) ( ) Page 6 of 9

7 Ex 22 Simplify or solve. Indicate what you are doing first. VS Sec 1.9: Solving Applied Problems Using Several Operations To estimate a sum or difference, round each number to the same round-off place then find the sum or difference. For example, estimate by rounding to the nearest thousand. Ex 23 The chart lists the gas meter readings for apartments on Adams Street. Apartment Number Reading Previous Month Reading Current Month a) Estimate the total gas used by apartment 102 by rounding each number to the nearest hundred. b) Calculate the exact amount of gas used by apartment 102. c) Find the difference between your estimate and the exact amount. Page 7 of 9

8 Ex 24 The Tsutsumida family took a scenic drive across the country. From Phoenix, Arizona, they drove east 597 miles the first day, 412 miles the second day, 389 miles the third day, and 410 miles the fourth day. Round each amount to the nearest hundred and then estimate how many more miles the Tsutsumida family drove the first two days than the last two days. Ex 25 A dairy cow produces an average of 7 gallons of milk per day. If a farmer has a herd of 35 cows, how much milk will they produce in one day? In 1 week? In 1 month? Ex 26 Round-trip bus fare is $2. Justin rides the bus 5 days a week to work and 2 nights a week to school. He can buy a bus pass at school that allows 6 months of unlimited bus rides for $400. If Justin only rides the bus round-trip to work and school, is it cheaper for Justin to buy the pass or to pay each time he rides? Page 8 of 9

9 Ex 27 Glenda inherited $6000, which will be distributed in two equal payments. She will receive the first half of the inheritance this year and the remainder of the inheritance in 6 months. Glenda plans to invest the first payment in a certificate of deposit (CD) at her bank. She will distribute the second payment equally among her three children. a) How much will Glenda invest in a CD? b) How much will each child receive? Page 9 of 9