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Singapore Chapter 2 Test Review (Enriched Math 7) Numeric Response 1. Find the sum . 2. The ocean floor is at –94 m. Antonio has reached –12 m. If he continues to move down at –4 m per minute, at what meter will he be from the ocean floor after 3 minutes? 3. John’s birthday party budget is $130.00. He spent $45.70 for sandwiches, $27.25 for juice, and $14.25 for prizes. How much money is left for other expenses? 4. A costume designer is preparing costumes for 22 dancers. She pays $373.78 for all of the materials. She also buys gloves, that are on sale, for all the dancers. Each pair of gloves costs $4.30. How much is the costume designer’s expense for each dancer? Short Answer 5. Find the sum . 6. Find the sum -7 + 8 + -6. 7. Find the difference –31 13. 8. Find the difference (-5) (-36). 9. Find the distance between 9 and –6. 10. Find the product –5 • (–4). 11. A submarine started at the surface of the water and was moving down at –15 kilometers per minute toward the ocean floor. The submarine traveled at this rate for 52 minutes before coming to rest on the ocean floor. What is the depth of the ocean floor? 12. Find the quotient –62 13. Find the quotient -128 (–2). (–4). 14. Miguel spends $35 a day for 4 days. He earns $21 a day for 5 days. Does Miguel end up with more or less money than he started with? By how much? 15. Simplify the expression -45 + (-16) 2 (- 4) – 6. Show your work. 16. Add. Express your answer in simplest form. 17. There are two bookcases against a wall. If one takes up much of the wall is covered by bookcases? 18. Subtract. Express your answer in simplest form. 19. Subtract. Express your answer in simplest form. 2 5 of the wall and the other takes up 1 7 of the wall, how 20. Two carpenters are building a fence. After 5 minutes, one carpenter is finished finished of the way and the other is of the way. How much of the way ahead of the second carpenter is the first carpenter? 21. Multiply. Express your answer in simplest form. 7 1 9 • 2 22. Divide. Express your answer in simplest form. 3 13 ÷ - 14 10 3 7 23. How many 8 -foot pieces of wood can you cut from a board that is 1 8 feet long? 24. Four bags of potatoes weigh 3.35 pounds, 4.894 pounds, 5.6 pounds, and 4.95 pounds. What is the total weight of the bags? 25. Find 80% of 45. 26. Multiply. –7 • (–4.19) 27. The average yearly rainfall in Lakeview is 21.55 inches. What is the total amount of rainfall in inches in Lakeview in 5.75 years? 28. Divide. –95.9 (–27.4) 29. Joe works in a music store and earns 18.5% commission on each sale. If Joe sells an organ and earns $82.00, what is the price of the organ? Round your answer to the nearest cent. 30. This morning at 8:00, the temperature was –7°F. Yesterday morning, the temperature was 6°F colder. What was yesterday’s temperature? 31. If of a pizza is eaten for lunch and 32. A -ounce ice cream sundae is is eaten for dinner, how much of the pizza is eaten? ice cream. How many ounces of ice cream does the sundae contain? Singapore Chapter 2 Test Review (Enriched Math 7) Answer Section NUMERIC RESPONSE 1. ANS: 3 PTS: 1 DIF: Average TOP: 2-1 Adding Integers 2. ANS: 70 PTS: OBJ: NAT: KEY: 3. ANS: OBJ: 2-1.3 Add Integers with Different Signs KEY: addition | integer 1 DIF: Difficult 2-4.1 Use Addition, Subtraction, Multiplication, and Division with Integers 7.NS.3 TOP: 2-4 Operations with Integers multi-step | order of operations | integer $42.80 PTS: 1 NAT: 7.NS.1.d 4. ANS: $21.29 PTS: 1 NAT: 7.NS.2.c DIF: Average OBJ: 2-6.1 Add and Subtract Decimals TOP: 2-6 Operations with Decimals KEY: multi-step | decimal | subtraction DIF: Difficult OBJ: 2-6.3 Divide Numbers in Decimals or Percent Form TOP: 2-6 Operations with Decimals KEY: multi-step | decimal | division SHORT ANSWER 5. ANS: 0 The sum of an integer and its opposite is equal to 0. PTS: 1 DIF: Average OBJ: 2-1.2 Add Integers to Their Opposites NAT: 7.NS.1.a TOP: 2-1 Adding Integers KEY: addition | integer | opposites | additive inverse 6. ANS: -5 The sum of an integer and its opposite is equal to 0. PTS: 1 DIF: Average OBJ: 2-1.2 Add Integers to Their Opposites NAT: 7.NS.1.a TOP: 2-1 Adding Integers KEY: addition | integer | opposites | additive inverse 7. ANS: –44 To subtract an integer, add its opposite. PTS: 1 DIF: Average TOP: 2-2 Subtracting Integers 8. ANS: OBJ: 2-2.1 Subtract Integers by Adding Their Opposites KEY: integer | subtraction 31 To subtract an integer, add its opposite. PTS: 1 DIF: Average OBJ: 2-2.1 Subtract Integers by Adding Their Opposites TOP: 2-2 Subtracting Integers KEY: integer | subtraction 9. ANS: 15 Find the absolute value of the difference of 9 and –6. | 9 – (–6) | = 15 PTS: 1 DIF: Average OBJ: 2-2.2 Find the Distance Between Two Integers on a Number Line NAT: 7.NS.1.c TOP: 2-2 Subtracting Integers KEY: distance | integer | absolute value 10. ANS: 20 In multiplying integers, if the signs are the same, the product will be positive. If the signs are different, the product will be negative. PTS: 1 DIF: Average OBJ: 2-3.1 Multiply Integers TOP: 2-3 Multiplying and Dividing Integers KEY: integer | multiplication 11. ANS: –780 kilometers Multiply the rate per minute by the number of minutes. PTS: 1 DIF: Average OBJ: 2-3.1 Multiply Integers TOP: 2-3 Multiplying and Dividing Integers KEY: integer | multiplication 12. ANS: 31 In dividing integers, if the signs are the same, the quotient will be positive. If the signs are different, the quotient will be negative. PTS: 1 DIF: Average OBJ: 2-3.2 Divide Integers TOP: 2-3 Multiplying and Dividing Integers KEY: integer | division 13. ANS: 32 In dividing integers, if the signs are the same, the quotient will be positive. If the signs are different, the quotient will be negative. PTS: 1 DIF: Average OBJ: 2-3.2 Divide Integers TOP: 2-3 Multiplying and Dividing Integers KEY: integer | division 14. ANS: Miguel ends up with $35 less than he started with. Miguel spends $35 a day. You can write this as . Multiply first, and then add. PTS: 1 DIF: Difficult OBJ: 2-4.1 Use Addition, Subtraction, Multiplication, and Division with Integers NAT: 7.NS.3 TOP: 2-4 Operations with Integers KEY: order of operations | integer 15. ANS: -43 Use the order of operations. 1. Perform operations within grouping symbols. 2. Evaluate powers. 3. Multiply and divide in order from left to right. 4. Add and subtract in order from left to right. PTS: 1 DIF: Average OBJ: 2-4.1 Use Addition, Subtraction, Multiplication, and Division with Integers TOP: 2-4 Operations with Integers KEY: order of operations | integer 16. ANS: 14/15 Multiply the denominators. Write equivalent fractions using a common denominator. Add. If necessary, simplify. = = 23 56 PTS: 1 DIF: Average OBJ: 2-5.1 Add Rational Numbers NAT: 7.NS.1.d TOP: 2-5 Operations with Rational Numbers KEY: addition | fraction | rational number 17. ANS: 19 of the wall 35 First find a common denominator, and then add. If necessary, simplify. The wall is 19 35 covered by bookcases. PTS: 1 DIF: Average OBJ: 2-5.1 Add Rational Numbers NAT: 7.NS.1.d TOP: 2-5 Operations with Rational Numbers KEY: addition | fraction | rational number 18. ANS: 1 3 Subtract the numerators and keep the common denominator. PTS: 1 DIF: Average OBJ: 2-5.2 Subtract Rational Numbers NAT: 7.NS.1.d TOP: 2-5 Operations with Rational Numbers KEY: subtraction | fraction | rational number 19. ANS: 8 63 = = 8 63 Multiply the denominators. Write equivalent fractions using a common denominator. Subtract. If necessary, simplify. PTS: 1 DIF: Average OBJ: 2-5.2 Subtract Rational Numbers NAT: 7.NS.1.d TOP: 2-5 Operations with Rational Numbers KEY: subtraction | fraction | rational number 20. ANS: 1 of the way 10 Multiply the denominators. Write equivalent fractions using a common denominator. Subtract. If necessary, simplify. = = 1 10 The first carpenter is 1 10 of the way ahead of the second carpenter. PTS: 1 DIF: Average OBJ: 2-5.2 Subtract Rational Numbers NAT: 7.NS.1.d TOP: 2-5 Operations with Rational Numbers KEY: subtraction | fraction | rational number 21. ANS: 7 18 Multiply the numerators and multiply the denominators. If necessary, simplify. 7 1 7 9 • 2 = 18 PTS: 1 DIF: Average OBJ: 2-5.3 Multiply Rational Numbers NAT: 7.NS.2.a | 7.NS.2.c TOP: 2-5 Operations with Rational Numbers KEY: fraction | multiplication | rational number 22. ANS: -21/65 Multiply 3 10 ÷ 13 14 = 3 10 3 10 by the reciprocal of • 14 13 = 13 14 . If necessary, simplify. 21 65 PTS: 1 DIF: Average OBJ: 2-5.4 Divide Rational Numbers NAT: 7.NS.2.c TOP: 2-5 Operations with Rational Numbers KEY: division | fraction | rational number 23. ANS: 5 pieces of wood Write any mixed numbers as improper fractions. Then, multiply by the reciprocal. If necessary, simplify. 7 3 18 8 = = 55 You can cut 5 pieces of wood. PTS: 1 DIF: Average OBJ: 2-5.4 Divide Rational Numbers NAT: 7.NS.2.c TOP: 2-5 Operations with Rational Numbers KEY: division | fraction | rational number | mixed number 24. ANS: 18.794 pounds Align the decimal points. Use zeros as placeholders. Add the numbers. Then place the decimal point. PTS: 1 NAT: 7.NS.1.d 25. ANS: 36 80% = 0.80 0.80 • 45 = 36 DIF: Average OBJ: 2-6.1 Add and Subtract Decimals TOP: 2-6 Operations with Decimals KEY: decimal | addition Write the percent as a decimal. Multiply using the decimal. PTS: 1 DIF: Average OBJ: 2-6.2 Multiply Numbers in Decimal or Percent Form NAT: 7.NS.2.c TOP: 2-6 Operations with Decimals KEY: percent | multiplication 26. ANS: 29.33 Multiply the numbers. The product should have the same number of decimal places as the sum of the decimal places in the factors. PTS: 1 DIF: Average OBJ: 2-6.2 Multiply Numbers in Decimal or Percent Form NAT: 7.NS.2.c TOP: 2-6 Operations with Decimals KEY: decimal | multiplication 27. ANS: 123.9125 inches Multiply the average yearly rainfall by the number of years. The product should have the same number of decimal places as the sum of the decimal places in the factors. The total amount of rainfall in Lakeview in 5.75 years is 123.9125 inches. PTS: 1 DIF: Average OBJ: 2-6.2 Multiply Numbers in Decimal or Percent Form NAT: 7.NS.2.c TOP: 2-6 Operations with Decimals KEY: decimal | multiplication 28. ANS: 3.5 Multiply both numbers by the least power of 10 that will make the divisor an integer. Divide as with whole numbers. Place the decimal point in the quotient directly above the decimal point in the dividend. PTS: 1 DIF: Average OBJ: 2-6.3 Divide Numbers in Decimals or Percent Form NAT: 7.NS.2.c TOP: 2-6 Operations with Decimals KEY: decimal | division 29. ANS: $443.24 Set up an equation and solve. sale • percent = commission PTS: 1 NAT: 7.NS.2.c 30. ANS: –13°F DIF: Average OBJ: 2-6.3 Divide Numbers in Decimals or Percent Form TOP: 2-6 Operations with Decimals KEY: division | percent –7 – 6 = –13 PTS: 1 DIF: Average TOP: 2-2 Subtracting Integers 31. ANS: OBJ: 2-2.1 Subtract Integers by Adding Their Opposites KEY: integer | subtraction PTS: 1 DIF: Average OBJ: 2-5.1 Add Rational Numbers NAT: 7.NS.1.d TOP: 2-5 Operations with Rational Numbers KEY: addition | fraction | rational number 32. ANS: PTS: 1 DIF: Average OBJ: 2-5.3 Multiply Rational Numbers NAT: 7.NS.2.a | 7.NS.2.c TOP: 2-5 Operations with Rational Numbers KEY: fraction | multiplication | rational number | mixed number