WVE Math 7 NS pply and Extend Previous Understandings of Operations with Fractions to dd, Subtract, Multiply, and ivide Rational Numbers Test 1
General Offline Instructions: Read each question carefully and decide which answer is correct. 2
1. Julie is saving her money to buy a $50.00 computer game. She has saved $39.50 so far, but she owes $5.00 to each of her two brothers. If she makes $18.00 babysitting and pays her brothers, does she have enough money to buy her computer game? No, because $39.50 - $10.00 + $18.00 = $47.50 No, because $39.50 - $5.00 + $18.00 = $42.50 Yes, because $39.50 + $10.00 + $18.00 = $67.50 Yes, because $39.50 + $5.00 + $18.00 = $62.50 2. Solve 2x - 3 < 4. -3.5 < x < 0.5 0.5 < x < 3.5-3.5 > x > 0.5-0.5 < x < 3.5 3. You and some friends started a lawn mowing business last summer. Unfortunately, because of high gas prices, the business had a loss of 56 dollars for the summer. Each member of the business had to pay back seven dollars of their earnings to the gas station to settle the debt. Which expression illustrates the situation and determines the number of people in the lawn mowing business? 56-7 -56 + 7 56 + -7-56 -7 4. The low temperature in Fairbanks, laska on New Year s ay was -24 o. The low temperature was 49 o higher in Miami, Florida, on the same day. Which expression correctly determines the low temperature in Miami, Florida on New Year s ay? -24 o + - 49 o = -73 o 24 o + 49 o = 73 o 24 o + -49 o = -25 o -24 o + 49 o = 25 o 3
5. In order for a tennis ball to be approved by the International Tennis Federation (ITF), the ball must bounce 55.5 cm from a height of 100 cm with a tolerance of 2.5 cm. Which equation determines the maximum and minimum bounce for tennis balls approved by the ITF? x - 2.5 < 55.5 x - 55.5 < 2.5 x + 55.5 > 2.5 x + 2.5 > 55.5 6. Solve the problem shown. 4
7. Tim and his dad are going to stain the deck and 2 deck chairs. The deck needs quarts of stain. Each deck chair needs quarts of stain. How much total stain does Tim's dad need to buy? 8. Fill in the blank to make the statement true: 5
9. Fill in the blank to make the statement true: 10. Fill in the blank to make the statement true: 6
11. Fill in the blank to make the statement true: 12. Simplify the expression. -27-8 8 27 13. Simplify the expression. -20-9 9 20 7
14. Simplify the expression. -22-10 10 22 15. Simplify the expression. -14-6 6-14 16. Simplify the expression: - 4 + 3 - - 6-13 -7-5 5 8
17. Simplify the expression: - 6 + 7 - - 4-17 -5-3 5 18. Simplify the expression: -9 + 7 - - 4-20 -6-2 2 19. Simply the expression: - 7 + 5 - - 6 4-4 -8-18 9
20. Look at this expression. 2x - 8 What is the value of the expression when x = -9? 10-10 -26 26 21. What is the value of 5a + 33 if a = -3? 28 18-18 48 10
22. s part of a math lesson, a group of three students each measured the length of one of their shoes and recorded the information in the following table. The students then added the three shoe lengths together to find the total length of shoes in their group. Which of the following mixed numbers shows the total length of the three shoes? 23. Solve the problem shown. 11
24. Solve the problem shown. 25. Vijay has 4.6 bags of jellybeans. Wayne has times as many bags of jellybeans as Vijay. How many bags of jellybeans does Wayne have? 6.8 bags 2.4 bags 2.09 bags 10.12 bags 12
26. Which of the following problems can be solved by subtracting a negative number? What is the change in temperature if the temperature dropped from 20 o F to 10 o F below zero overnight? What is the change in yardage if a football team ran 2 plays; one for a 10 yard gain and the other for a 5 yard loss? What is the change in the stock market if it started the day 20 points down and rose by 50 points? What is the change you will receive if you spent $11 out of $20 for pizza with friends after school? 27. Ramona's teacher placed the following expression on the board and the step by step simplification of the problem. Which property justifies the change from step 2 to step 3? ssociative property of addition because the numbers are in parenthesis ommutative property of addition because the order of some numbers were changed Identity property of addition because the change did not change the value istributive property because the numbers are now in order 13
28. Gary has cups of flour. He makes brownies with of it. How much flour, in cups, does he have left after making the brownies? cups cup cups cup 29. The Math lub has $192 in their treasury. Seven of the members want to participate in the Math Olympics at the local university. The entry fee for the competition is $15 per person. The math club will pay half of the students entry fee. How much money will the club have in the treasury after paying the entry fees? $139.50 $105.00 $87.00 $52.50 30. Look at this expression. Evaluate the expression for a = 5 and b = 9. 5,850 5,850 1,950 1,950 14
31. Mindy has 7 packs of collector cards. Each pack has 5 cards. Janette gives her 3 more collector cards. Mindy says she now has 38 collector cards. Which statement explains why or why not Mindy is correct? Mindy is correct because if you multiply 7 and 5, then add 3, the answer is 38. Mindy is not correct because if you multiply 7 and 3, then add 5, the answer is 26. Mindy is correct because if you add 7 and 5, then multiply by 3, the answer is 38. Mindy is not correct because if you add 5 and 3, then multiply by 7, the answer is 56. 32. vi has a collection of 12 paintings. He wants to keep 6 for himself. He plans to give the other paintings to 3 friends. What is the best way to find the number of paintings each friend will receive if vi shares the paintings equally among them? Subtract 3 from 12. Then subtract 6. Subtract 6 from 12. Then divide by 3. ivide 6 by 3. Then subtract from 12. ivide 12 by 3. Then subtract 6. 33. Lance jogged every day for 4 days. The shortest distance he jogged was 2.4 miles and the longest was 3.3 miles. What is a reasonable total of how any miles he jogged during the 4 days? etween 4 and 8 miles etween 8 and 13 miles Less than 4 miles More than 14 miles 15