On Level Unit 1 Test Study Guide Test Date: Thursday, October 8 Topics: Whole Number Operations (pg 3-7) Divisibility Rules (pg 229-233) Long Division (remainders as fractions and decimals) (pg 3-7) Exponents & Powers (pg 15-19) Prime Factorization (pg 230-233) Greatest Common Factor ( pg 236-240) Least Common Multiple ( pg 250-253) Distributive Property ( pg 175-177) Order of Operations (pg 21-25) *To study, you can complete odd numbered problems from the pages above so that you can check if you got the correct answer or not in the back of the textbook. Selected answers begin on page SA1. Vocabulary: Prime Number Composite Number Relatively Prime Factor Multiple Power Exponent Base PEMDAS Distributive Property Whole Number Operations: 1) Last week, 49 students stayed for extra help with Ms. Bosworth and 27 stayed for extra help with Mrs. Lambusta. How many more students stayed in Ms. Bosworth’s classroom than Mrs. Lambusta’s? 2) Each girl received 12 flowers. A total of 180 flowers were given out. How many girls got flowers? 3) MJS sold 423 cupcakes and 258 cookies at the bake sale. How many baked goods were sold in all? 4) Your music lessons cost $35 per week. How much will you pay for 13 weeks of lessons? Divisibility Rules: 5) Circle the numbers that each number is divisible by. Number Divisible By: 75 2 3 4 5 6 8 9 10 450 2 3 4 5 6 8 9 10 102 2 3 4 5 6 8 9 10 6,290 2 3 4 5 6 8 9 10 Long Division: Write your answer with a remainder, fraction, and decimal (round to the nearest hundredth) 6) 3 4 ̅̅̅̅̅̅̅̅̅̅̅̅ )3907 7) 4 0 ̅̅̅̅̅̅̅̅̅̅̅̅ )9246 Exponents: Write each as a power 8) 5x5x5 9) 8x8x8x8 10) 16x16 Evaluate each power 11) 28 12) 43 13) 120 14) You need to contact members of your marching band. You call 3 people in the morning. They each call 3 more people in the afternoon. That night, those additional people each call 3 others. How many people are called that night? Prime Factorization: 15) What is a prime number? 16) What number has the following prime factorization: 22x32x5 17) What is the prime factorization of 354? Greatest Common Factor: 18) Find the GCF of 15, 33, and 42. 19) You are dividing a garden into sections. You have 39 marigolds and 66 petunias. You want each section to have the same number of each type of flower, and you want to use all the flowers. What is the greatest number of sections you can have? Least Common Multiple: 20) Find the LCM of 54 and 24 using prime factorization. 21) A store gives every 42nd customer a $42 gift certificate. Every 30th customer gets a $30 gift certificate. What number customer will be the first to receive both types of gift certificates? Order of Operations: Simplify each expression 22) (8 + 1) 3 23) 2 + 22 24) (20 + 8)2 4–3 25) 134 - 3 52 26) Your class is visiting an aquarium. Admission is $13 per adult and $8 per student. There are 7 adults and 27 students. What is the total cost of admission (in dollars)? Distributive Property: Use the distributive property to write an equivalent expression that will help you solve the problem using mental math. Then simplify the expression. 27) 7(856) 28) 6(1,248) Use the distributive property and GCF to write an equivalent expression. 29) (55+45) 30) (90+160)