For full credit, show all work on a separate sheet of paper. Use your knowledge of positive and negative chips to answer the following problems.

Transcription

1 ccelerated Review : Integers Name: For full credit, show all work on a separate sheet of paper. Use your knowledge of positive and negative chips to answer the following problems. Which expression is represented by the chips below? Mr. Wright is trying to represent the following equation with chips: f = If he has started above what should his next step be? dd 6 more positive chips. dd 6 negative chips. Remove all of his positive chips. ircle the zero pairs in his picture. 3. w = 7 If Mr. Mangham wants to model this equation with chips which method would be best? Place 7 negative chips and then take away negative chips. Place 7 negative chips and then add in more negative chips. Place 7 negative chips and then take away positive chips. Place 7 positive chips and then take away negative chips. d = Mr. Underwood has set up the equation above using positive and negative chips. What should be his next step? Remove the 4 negative chips. dd in 5 more positive chips. Remove the 5 positive chips. Remove the 4 zero pairs. reated by Lance Mangham, 6 th grade math, arroll IS

2 Use the number lines to answer to following problems. f = + 5 d = Solve. 7. g = ( 4) ( 8) = w ( ) = t d = ( ) ( 5) 41 Which of the following is always true? 15. The sum of two negative numbers is negative. The difference of two negative numbers is negative. The absolute value of a number is greater than its opposite. n integer is greater than its absolute value. 16. a is a negative integer. If you subtract a negative number from a what will be true comparing the difference to a? The difference will be always be less than a. The difference will be always be greater than a. The difference will always be negative. The difference will always be positive. Which expression is represented by the model below? ( 4) reated by Lance Mangham, 6 th grade math, arroll IS

3 If x and y are integers and x < y, how do the opposite of x and the opposite of y compare? The opposite of x is less than the opposite of y. The opposite of x is greater than the opposite of y. The opposite of x is equal to the opposite of y. More information is needed to compare the opposites. Martina s Inequalities < 3 < 3 < 3 4 < 5 4 < 3 1< 0 0 < 1 3 < Martina gets one point for each pair of integers she correctly compares. She wrote the statements above. How many points did Martina receive? What is the opposite of 5? 5 1. Tamar wants to select an integer that is closer to zero than 3 on the number line. How many possible choices does she have? 5. The opposite of x is y. What is the distance between x and y on the number line? x + y x y x x y 3. Kevin listed all of the integers with absolute value less than. ria listed all of the integers with absolute value less than 4. How many more integers are on ria s list than on Kevin s list? The absolute value of a number is added to the original number. Kayla says the sum is always equal to 0. Is she correct? Yes, because the positives will always cancel out the negatives. Yes, because the absolute value of the number will always be positive. No, because two numbers added together will always be negative. No, because the original number and the absolute value could both be positive. Which expression has the same value as 5 ( 9)? ( 4)( 1)(0) 4 6 ( 8) 8 + ( 4) reated by Lance Mangham, 6 th grade math, arroll IS

4 Tyler wrote checks on his checking account for $0, $0, $18, $0, and $35. He also deposited $53 in the account. Which number describes the change in the balance of his account? $113 $60 $60 $83 Which of the following expressions has the greatest value? ( ) ( 4) ( ) 3 ( 4) submarine s elevation is 14 feet relative to sea level. shark is swimming at an elevation of 56 feet. What is the difference in elevation between the submarine and the shark? 4 ft 56 ft 60 ft 70 ft Temperature in Four ities Temperature Temperature ity on ay 1 ( ) on ay ( ) meteorologist recorded the temperature in four cities on two days last year, as shown in the table above. Which city had the greatest increase in temperature between the two days? How does the product of two negative factors compare to the original factors? The product is less than the factors. The product will be equal to one factor. The product will be greater than or equal to one factor. The product will be greater than the factors. The table below shows the activity in a checking account over 3 days. 31. ay eposit Withdrawal ay 1 $18 $19 ay $0 $30 ay 3 $60 $0 If the beginning balance of the account was b, which expression represents the balance after the 3 days? b ( 19) ( 60) b + ( 18) ( 30) + 60 b ( 19) b ( 19) + ( 30) + 60 reated by Lance Mangham, 6 th grade math, arroll IS

5 In the model below the counters represent negative integers Which expression is represented by the model? Over a 1-hour period from 8 P.M. to 8.M., the temperature fell at a steady rate from 8 F to 16 F. If the temperature fell at the same rate every hour, what was the temperature at 4.M.? 8 F Solve the following equations. 34. ( 3) 6 + (4 6) Evaluate each expression if x = 8, y = 3, and z = yz x xyz human red blood cell is about meter in diameter. Which of the following represents this number in scientific notation? Write (6. 10 )(.1 10 ) in scientific notation. ( ) 41. Write (.5 10 ) in scientific notation small organism with a length of new length in scientific notation meters tripled in size. Write the reated by Lance Mangham, 6 th grade math, arroll IS

6 ate Highest Temperature (F) Lowest Temperature (F) 1/5 84 at Kahului, Hawaii 39 at Embarrass, Minn. 1/6 86 at Hilo, Hawaii and Fort Myers, Fla. 36 at Northway, laska and Embarrass, Minn. 1/7 86 at Ford Myers, Fla. 41at Northway, laska 1/8 85 at Fort Myers, Fla., and Mcllen, Texas 45 at Northway, laska 1/9 85 at orpus hristi, Texas 33 at Havre, Mont. 1/30 86 at Fort Myers, Fla. 38 at Fort Yukon, laska 1/31 83 at Mcllen, Texas 37 at Fairbanks, laska Write the correct expression using integers and solve each problem What was the difference in the extreme temperatures on ecember 9 th? What was the difference in low temperatures in Northway, laska on ecember 7 th and 8 th? In ntarctica on ecember 5 th it was two times the lowest temperature in Embarrass, Minnesota. What was the temperature in ntarctica on ecember 5 th? Expression nswer 85 ( 33) ( 45) To get the temperature in allas on ecember 31 st, you need to add the highest and lowest temperatures on that date. What was the temperature in allas on ecember 31 st? The high temperature in Northway, laska on ecember 6 th was 14 degrees above the lowest temperature. What was the high in Northway, laska on ecember 6 th? distance of is multiplied by 10. The result is written in scientific notation. What is the new exponent? What is the standard notation for a distance of miles? 93,00, One type of ant is meters long. What is this length in scientific notation? reated by Lance Mangham, 6 th grade math, arroll IS