Mathematics, Science, & Gifted Department
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1 1. ANS: C LOC: MAFS.7.NS ANS: A LOC: MAFS.7.NS ANS: C, D LOC: MAFS.7.NS ANS: See Below LOC: MAFS.7.NS.1.1 Becky s fuel tank is not empty because she still has gallon remaining. Possible answer: Becky could add gallon of gasoline into the empty fuel tank instead of gallon. The fuel tank would be empty again after adding gallon and using gallon. 5. ANS: B, E LOC: MAFS.7.NS ANS: D LOC: MAFS.7.NS ANS: C, E, F LOC: MAFS.7.NS ANS: A, B, D LOC: MAFS.7.NS ANS: C LOC: MAFS.7.NS ANS: B LOC: MAFS.7.NS ANS: C, E LOC: MAFS.7.NS ANS: See Below LOC: MAFS.7.NS.1.2 Associative Commutative Inverse Identity a. b. c. d. e. f. 13. ANS: A LOC: MAFS.7.NS.1.2
2 14. ANS: C, E LOC: MAFS.7.NS ANS: A, D LOC: MAFS.7.NS ANS: B, E LOC: MAFS.7.NS ANS: See Below LOC: MAFS.7.NS.1.3 There are 576 bolts in the collection. Convert the weight of the box from pounds to ounces. The box has 108 ounces of bolts. Now divide 108 by 18. ANS: B, D, E LOC: MAFS.7.RP ANS: See Below LOC: MAFS.7.RP.1.1 of an acre per hour 20. ANS: D LOC: MAFS.7.RP ANS: A, B, D LOC: MAFS.6.RP ANS: See Below LOC: MAFS.7.RP.1.2 Time (hours) Earnings (dollars) The constant of proportionality is This is the number of dollars per hour that Antwan earns mowing lawns.
3 23. ANS: B LOC: MAFS.7.RP ANS: See Below LOC: MAFS.7.RP.1.2 a. Frozen yogurts Earnings (dollars) b. Because the earnings are $21 when Marsha sells 6 frozen yogurts, a constant of proportionality for this situation is c. or 3.5. So, an equation for the relationship is y = 3.5x. d. Use the equation y = 3.5x to find the number of yogurts Marsha has to sell. Substitute 245 for y in the equation. 245 = 3.5x = x 70 = x Marsha would have to sell 70 yogurts to raise $245 for the library. 25. ANS: C LOC: MAFS.7.RP ANS: See Below LOC:MAFS.7.RP.1.3 Tennessee s 7% sales tax is greater than Iowa s 6% sales tax. Iowa s sales tax is. Tennessee s sales tax is.
4 27. ANS: F LOC: MAFS.7.RP ANS: A LOC: MAFS.7.RP ANS: D LOC: MAFS.7.RP ANS: C LOC: MAFS.7.RP ANS: A, C LOC: MAFS.7.EE ANS: C, E LOC: MAFS.7.EE ANS: See Below LOC: MAFS.7.EE.1.1 The expression is. 34. ANS: D LOC: MAFS.7.EE ANS: A, C, D LOC: MAFS.7.EE ANS: D LOC: MAFS.7.G ANS: B LOC: MAFS.7.EE ANS: B, C, E LOC: MAFS.7.EE ANS: See Below LOC: MAFS.7.EE.2.4 Add to both sides of the equation. Multiply both sides of the equation by ANS: B, C, E LOC: MAFS.7.EE ANS: A, D LOC: MAFS.7.EE.2.4
5 42. ANS: See Below LOC: MAFS.7.EE ANS: See Below LOC: MAFS.7.G.1.1 Find the perimeter of the blueprint. Multiply 69 cm by the ratio. So, the length of the fence is meters. 44. ANS: C LOC: MAFS.7.G ANS: B, D LOC: MAFS.7.G ANS: See Below LOC: MAFS.7.G.1.2 Given Characteristics Not a Triangle Unique Triangle a. A triangle with 5 cm and 7 cm side lengths and an included!"# b. A triangle with!"# and!"#$ angles and an included side of 10 m c. A triangle with!"#and!"#$ angles and a non-included side of 48 yards d. A triangle with 14 in. and 24 in. side lengths and a non-included!"#$angle e. A triangle with!"#,!"#, and!!"angles f. A triangle with side lengths 5 cm, 10 cm, and 18 cm More Than One Triangle 47. ANS: B, C, D, E, F LOC: MAFS.7.G ANS: C, E, F LOC: MAFS.7.G ANS: See Below LOC: MAFS.7.G.1.3 No. Possible answer: If a vertical slice intersects the vertex of the pyramid, then the cross section is an isosceles triangle. If a vertical slice intersects the base and just two adjacent faces of the pyramid, then the cross section is a triangle. If a vertical slice intersects the base and three faces of the pyramid, then the cross section is a quadrilateral.
6 50. ANS: See Below LOC: MAFS.7.G.2.4 The wheel travels about 57 inches. The formula for the circumference of a circle is, where r is the radius. Substitute 9 for r, and then evaluate. 51. ANS: Since the diameter of a circle is twice its radius,. Substitute d for 2r in the formula. So the formula for the circumference of a circle in terms of its diameter d is. LOC: MAFS.7.G ANS: The sprinkler can water an area of 1,017 square feet. LOC: MAFS.7.G ANS: See Below LOC: MAFS.7.G.2.5. Substitute for and for, and then solve for. Similarly,. Substitute for and for, and then solve for.
7 54. ANS: See Below LOC: MAFS.7.G ANS: B LOC: MAFS.7.G ANS: C LOC: MAFS.7.G ANS: B, C, E LOC: MAFS.7.G ANS: B LOC: MAFS.7.SP ANS: A, D LOC: MAFS.7.SP ANS: B LOC: MAFS.7.SP ANS: See Below LOC: MAFS.7.SP.1.2 ; 300 CDs in the shipment are likely to be defective. 62. ANS: See Below LOC: MAFS.7.SP.1.2 First Sample: Second Sample: Third Sample: Subtract the lowest estimate from the highest estimate. The difference between the highest estimate and the lowest estimate is ANS: C, E LOC: MAFS.7.SP ANS: A LOC: MAFS.7.SP.2.4
8 65. ANS: A, D, E LOC: MAFS.7.SP ANS: E LOC: MAFS.7.SP ANS: C LOC: MAFS.7.SP ANS: D LOC: MAFS.7.SP ANS: A LOC: MAFS.7.SP ANS: B LOC: MAFS.7.SP ANS: B, C, E, F LOC: MAFS.7.SP ANS: D LOC: MAFS.7.SP ANS: B LOC: MAFS.7.SP ANS: B, D LOC: MAFS.7.SP ANS: B LOC: MAFS.7.SP ANS: B LOC: MAFS.7.SP ANS: B, D, E, F LOC: MAFS.7.SP ANS: C LOC: MAFS.7.SP ANS: A, C, F LOC: MAFS.7.SP ANS: C LOC: MAFS.7.SP ANS: D LOC: MAFS.7.SP ANS: F LOC: MAFS.7.SP ANS: B LOC: MAFS.7.SP ANS: B LOC: MAFS.7.SP ANS: D LOC: MAFS.7.SP ANS: B LOC: MAFS.7.SP ANS: E LOC: MAFS.7.SP ANS: E LOC: MAFS.7.SP.3.8
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