Grade 8-Unit 3 Assessment Items

Transcription

1 rade 8-Unit 3 ssessment Items

2 rade 8-Unit 3 ssessment Items nswer Key ## Item Title orrect nswer Primary SE Secondary SE Reporting ategory lick here to collapse or expand this section. 1 M SR TRS 8.8 [S] M SR TRS 8.8 [S] M SR TRS 8.8 [S] M SR TRS 8.8 [S] M SR TRS 8.8 [S] M SR TRS 8.8 [S] M SR TRS 8.8 [S] page 2 of 13

3 ## Item Title orrect nswer Primary SE Secondary SE Reporting ategory 8 M SR TRS 8.8 [S] M NR TRS [R] 10 M SR TRS 8.8 [R] M SR TRS 8.8 [R] E 12 M SR TRS 8.8 [R] 13 M SR TRS 8.12 [S] R4PL 14 M SR TRS 8.12 [S] R4PL 15 M SR TRS M SR TRS 8.12 [R] R4PL 17 M SR TRS 8.12 [R] R4PL Key for dditional Questions: page 3 of 13

4 ssessment Item(s): 1 Tricia and Melanie are both saving money for their summer vacations. They both began saving at the same time. Tricia started with $10.25 and adds $5.15 to her savings every month. Melanie did not have a starting amount but adds $10.25 to her savings every month. Which equation could be used to determine how many months, m, it will take before Tricia and Melanie both have saved the same amount of money? 5.15m = 10.25m 10.25m = 10.25m 10.25m = 5.15m 10.25m 5.15 = 10.25m 2 ack and Tim are racing remote-controlled cars. ack s car travels 3.5 feet per second, while Tim s car travels 5.25 feet per second. ecause ack s car is slower, Tim gave ack a 10-foot head start. Which inequality could be used to determine after how many seconds, s, Tim s car will be ahead of ack s car? 3.5s > 5.25s s + 10 > 5.25s 5.25s > 3.5s s 10 < 5.25s 3 Laura is a chemist working with liquids and solutions. She has two large cylindrical barrels that can hold up to 2,000 liters each. The first barrel contains 900 liters of solution, and the second barrel contains 100 liters of solution. Laura begins draining the first barrel at a rate of 36 liters per minute at the same time she begins filling the second barrel. Laura fills the second barrel with 44 liters of solution every minute. Which inequality represents the seconds, s, when the second barrel contains a greater or equal amount of solution than the first barrel? 36s s s s 36s s s s page 4 of 13

5 4 Which situation can be represented by this equation? g = g 2.4 The mass of eaker is measured after 2.4 ounces of liquid is removed from of the number of grams, g, of sodium in eaker. The mass of eaker is measured after 2.5 ounces of liquid is removed from of the number of grams, g, of sodium in eaker. ow many grams of sodium are in each beaker when the masses of eaker and eaker are equivalent? The mass of eaker is measured after 2.5 ounces of liquid is added to of the number of grams, g, of sodium in eaker. The mass of eaker is measured after 2.4 ounces of liquid is added to of the number of grams, g, of sodium in eaker. ow many grams of sodium are in each beaker when the masses of eaker and eaker are equivalent? The mass of eaker is measured after 2.4 ounces of liquid is added to of the number of grams, g, of sodium in eaker. The mass of eaker is measured after 2.5 ounces of liquid is added to of the number of grams, g, of sodium in eaker. ow many grams of sodium are in each beaker when the masses of eaker and eaker are equivalent? The mass of eaker is measured after 2.5 ounces of liquid is added to of the number of grams, g, of sodium in eaker. The mass of eaker is measured after 2.4 ounces of liquid is removed from of the number of grams, g, of sodium in eaker. ow many grams of sodium are in each beaker when the masses of eaker and eaker are equivalent? 5 Which problem situation can be represented by the equation below if x represents the number of bags of potatoes that 1 acre of land produces? x 24 = x If three-fifths of an acre produces twenty-four fewer bags of potatoes than an acre, then how many bags of potatoes does one-fifth of an acre yield? If three-fifths of an acre produces twenty-four more bags of potatoes than one-fifth of an acre, then how many bags of potatoes does an acre yield? If three-fifths of an acre produces twenty-four fewer bags of potatoes than one-fifth of an acre, then how many bags of potatoes does an acre yield? If three-fifths of an acre produces twenty-four more bags of potatoes than an acre, then how many bags of potatoes does one-fifth of an acre yield? page 5 of 13

6 6 Which problems situation can be represented by the inequality below? c 22.50c 95 harles and Victor went to a comic store and purchased some comic books. harles purchased c comic books for $12.50 each and then spent $25.00 on a comic book portfolio. Victor sold a vintage comic book to the store for $95.00 and then purchased c more comic books for $22.50 each. ow many comic books, c, would each boy purchase if harles total amount due is greater than or equal to Victor s total? harles and Victor went to a comic store and purchased some comic books. harles purchased c comic books for $22.50 each and then spent $25.00 on a comic book portfolio. Victor sold a vintage comic book to the store for $95.00 and then purchased c more comic books for $12.50 each. ow many comic books, c, would each boy purchase if harles total amount due is greater than or equal to Victor s total? harles and Victor went to a comic store and purchased some comic books. harles purchased c comic books for $12.50 each and then spent $25.00 on a comic book portfolio. Victor purchased a vintage comic book from the store for $95.00 and then purchased c more comic books for $22.50 each. ow many comic books, c, would each boy purchase if harles total amount due is greater than or equal to Victor s total? harles and Victor went to a comic store and purchased some comic books. harles purchased c comic books for $22.50 each and then spent $25.00 on a comic book portfolio. Victor purchased a vintage comic book from the store for $95.00 and then purchased c more comic books for $12.50 each. ow many comic books, c, would each boy purchase if harles total amount due is greater than or equal to Victor s total? page 6 of 13

7 7 Which problem situation can be represented by the inequality below? hris and rooklyn shop at ook eaven, which offers reward points for each book that is purchased. ook eaven offers two reward plans for the customer to choose from. rooklyn has chosen a plan which gives 9.5 points for each book purchased. hris has chosen a plan which starts the customer with 6.75 points and rewards 14.5 points for each book purchased. ow many books, x, would each have to purchase so that rooklyn s reward points are greater than or equal to hris total reward points? Stephanie and hol are racing against each other. Since Stephanie is faster, she is giving hol a 14.5 feet head start. Stephanie can run at a constant rate of 9.5 feet per second, while hol can run at a constant rate of 6.75 feet per second. ow many seconds, x, will Stephanie and hol be running in the race when hol s distance from the starting line is greater than or equal to Stephanie s distance from the starting line? Over the course of a year, Ryan and Tanya donate a portion of their income to charity. Each month, Tanya donates $6.75 to Stars for hildren. Ryan donates $14.50 at the beginning of the year to elping ands and then donates $9.50 each month to Puppies for irefighters. fter how many months, x, will Ryan s total charity donations be greater than or equal to Tanya s total donations? eff plays an online computer game in which he earns 6.75 coins for each completed challenge. uliana plays the same online computer game and earns 19.5 coins for each completed challenge. ow many challenges, x, will be completed when eff has more coins than uliana? page 7 of 13

8 8 Which problem situation cannot be represented by this equation? Each week, Nina s parents give her 50 cents as a small allowance and pay her 25 cents for every apple that she picks from the family orchard. ob s parents give him 2 dollars each week and pay him 10 cents for every lemon that he picks from the family orchard. What is x, the number of pieces of fruit that need to be picked for Nina and ob to have the same amount of money? Mathew and Michael are members of different trading card clubs. Mathew pays $2.00 for membership and then 10 cents for each trading card purchased. Michael pays $0.50 for membership and 25 cents for each trading card purchased. What is x, the number of trading cards that each must purchase so that the total amount spent by Mathew and Michael is the same? ryan has a barrel that begins with a half-liter of liquid and fills the barrel with more liquid at a rate of one liter every four minutes. va has a barrel that begins with 2 liters of liquid and fills the barrel with one more liter of liquid every ten minutes. What is x, the number of minutes that must pass so that the barrels contain the same amount of liquid? avid has been given a small tree. The tree is 2 feet tall and grows 1 foot every 4 years. Sarita has a different kind of tree that is half of a foot tall and grows 1 foot every 10 years. What is x, the number of years it will take for the trees to the be same height? 9 What value of x makes the equation true? Record your answer and fill in the bubbles on your answer document. e sure to use the correct place value. page 8 of 13

9 10 ustin, William, Sherice, and ynthia solved the equation below on their math test. ustin got an answer of William got an answer of 5. Sherice got an answer of 21. ynthia got an answer of 15. Who was correct? ustin William Sherice ynthia page 9 of 13

10 11 race was given the following problem on her math test: Two teams of students were assigned to measure a hallway each using a stick of the same length. Team measured the length of the hallway as 6 sticks plus 18 units. Team measured the length of the hallway as 8 units less than 8 sticks. race wrote the equation 6x + 18 = 8x 8 to represent the problem situation where x represents the length of the stick in units. She then used algebra tiles to solve the equation as shown below. Which model represents a possible step 5 in race s solution process and what is the value of x? page 10 of 13

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12 12 Which equation will not have a value of x that makes the equation true? 2.25x + 3(6) = x x 9 = 5x x 20x x = 20x 15.2 x + 6 = 6.5x + 13 Mark s mother is planning to borrow $25,000 to remodel the restaurant she owns. She contacted several loan companies, and she is comparing two different options. ompany 1 offers an interest rate of 5.25%. ompany 2 offers an interest rate of 8.5%. oth loan options involve simple interest and must be repaid in exactly 3 years. ow much more will Mark s mother pay in interest if she chooses to borrow the money from ompany 2? $ $3, $2, $6, Mr. itch needs to get a loan to replace the air-conditioning system in his home. The cost of the replacement, including installation, is $4, e can apply for a 5-year loan or a 3-year loan. oth loans involve simple interest with an annual interest rate of 6.5%. If Mr. itch applies for the 5-year loan, how much more will he pay in interest than with the 3-year loan? $ $ $2, $5, page 12 of 13

13 15 Mike wants to borrow $11,500 for home improvements. e was considering a 3-year loan option represented by = 11,500( ) 3 or a 2-year loan option represented by = 11,500( ) 2 where in both equations represents the total cost of repaying the loan. Which loan option should Mike choose in order to repay the least amount of money? The 3-year loan total repay amount is $12, and the 2-year loan total repay amount is $12, Mike should choose the 2-year loan because he will repay less money. The 3-year loan total repay amount is $35, and the 2-year loan total repay amount is $23,989. Mike should choose the 2-year loan because he will repay less money. The 3-year loan total repay amount is $11, and the 2-year loan total repay amount is $11, Mike should choose the 3-year loan because he will repay less money. The 3-year loan total repay amount is $12, and the 2-year loan total repay amount is $12, Mike should choose the 2-year loan because he will repay less money. 16 amon s father started a college fund on amon s 8th birthday. e deposited $7,500 into a (certificate of deposit) that yields an interest rate of 0.23% compounded annually. ow much money will the be worth when amon turns 18 years old? $7, $7, $9, $7, Over two years, how much more will a savings account with a simple interest rate of 4.2% yield in earnings than a savings account with a simple interest rate of 3.5% if the original balance of both accounts is $2,200? $15.40 $30.80 $3,080 $31.98 page 13 of 13