Question

1. aki needs 2 pounds of berries for a recipe. gia weighs the berries by the ounce when she buys them. how will the number of ounces of berries gia buys compare to the number of pounds of berries aki needs? a. gia will measure more ounces because ounces are larger than pounds. b. gia will measure fewer ounces because ounces are smaller than pounds. c. gia will measure more ounces because ounces are smaller than pounds. d. gia will measure fewer ounces because ounces are larger than pounds. 41. which is the best estimate for the mass of a loaf of bread? a. 5 g c. 50 kg b. 500 g d. 500 kg 42. larry is placing square stones in his yard to make a patio. the area he wants to cover is 7 feet wide and 9 feet long. each stone covers 1 square foot. how many square feet of stone are needed for the patio? a. 16 square feet b. 54 square feet c. 56 square feet d. 63 square feet 43. mavis buys a rug that is 3 feet wide by 4 feet long. what is the rugs area? a. 7 square ft c. 15 square ft b. 12 square ft d. 16 square ft 44. which shows the distributive property being used to find the area of a rectangle that is 4 yd long and 15 yd wide? a. ( a = 4 mathrm{yd} \times 15 mathrm{yd} = 4 mathrm{yd} \times (10 mathrm{yd} + 5 mathrm{yd}) ) ( = (4 mathrm{yd} + 10 mathrm{yd}) + (4 mathrm{yd} + 5 mathrm{yd}) ) b. ( a = 2(4 mathrm{yd} + 15 mathrm{yd}) = (2 \times 4 mathrm{yd}) + (2 \times 15 mathrm{yd}) ) c. ( a = 4 mathrm{yd} \times 15 mathrm{yd} = 60 mathrm{yd} ) d. ( a = 4 mathrm{yd} \times 15 mathrm{yd} = 4 mathrm{yd} \times (10 mathrm{yd} + 5 mathrm{yd}) ) ( = (4 mathrm{yd} \times 10 mathrm{yd}) + (4 mathrm{yd} \times 5 mathrm{yd}) ) 45. how do you find the perimeter of a rectangle? a. add the four side lengths. b. multiply one side length times one side length. c. multiply one side length times 2. d. add 4 to one of the side lengths. the picture graph shows which types of movies people reported as their favorite. use the graph to answer problems 46 - 47. 46. how many fewer people like fantasy movies than animated and thriller movies combined? a. 1 fewer person c. 20 fewer people b. 2 fewer people d. 10 fewer people 47. which statements are true about the data in the graph? select all that apply. a. fantasy movies are the most popular. b. 50 people like thriller movies. c. thriller movies are the least popular. d. more than 200 people replied to the survey. e. 140 people like comedy, thriller, and animated movies. f. 20 more people like thriller movies than animated movies.

Explanation:

40.

• Unit Conversion Knowledge:
• We know that \(1\) pound \( = 16\) ounces. So, when measuring the same amount (in this case, the amount of berries), since ounces are a smaller unit than pounds (\(1\) ounce \(=\frac{1}{16}\) pound), to get the equivalent of \(2\) pounds in ounces, we use the conversion.
• If \(Aki\) needs \(2\) pounds of berries, and \(Gia\) is measuring in ounces. The number of ounces \(Gia\) will measure is \(2\times16 = 32\) ounces. Since ounces are a smaller unit, the number of ounces (\(32\)) is greater than the number of pounds (\(2\)).

41.

• Mass Estimation:
• A loaf of bread is not extremely light ( \(5g\) is about the mass of a small coin) or extremely heavy (\(50kg\) is about the mass of a very heavy suitcase and \(500kg\) is way too heavy). A more reasonable estimate is based on the fact that \(1kg=1000g\). A loaf of bread is typically around \(500g\).

42.

• Area of a Rectangle Formula:
• The area of a rectangle is given by \(A = l\times w\), where \(l\) is the length and \(w\) is the width. Here, \(l = 9\) feet and \(w = 7\) feet.
• So, \(A=9\times7=63\) square feet.

43.

• Area of a Rectangle Formula:
• For a rectangle with width \(w = 3\) feet and length \(l = 4\) feet, using the formula \(A=l\times w\).
• We substitute the values: \(A = 3\times4=12\) square feet.

44.

• Distributive Property Definition:
• The distributive property is \(a\times(b + c)=a\times b+a\times c\). For the area of a rectangle \(A = l\times w\), if \(l = 4\) yd and \(w=15\) yd, and we rewrite \(15\) as \((10 + 5)\) yd.
• Then \(A=4\times15=4\times(10 + 5)=(4\times10)+(4\times5)\) (by the distributive property \(a\times(b + c)=a\times b+a\times c\), where \(a = 4\), \(b = 10\), \(c = 5\)).

45.

• Perimeter of a Rectangle Concept:
• A rectangle has two pairs of equal - length sides. Let the length be \(l\) and the width be \(w\). The perimeter \(P=l + w+l + w\).
• Which is equivalent to adding all four side lengths.

46.

• Picture Graph Interpretation:
• Number of people who like fantasy movies: There are \(7\) symbols, and each symbol represents \(10\) people, so \(7\times10 = 70\) people.
• Number of people who like animated movies: \(4\) symbols, so \(4\times10=40\) people.
• Number of people who like thriller movies: \(5\) symbols, so \(5\times10 = 50\) people.
• Combined number of people who like animated and thriller movies: \((4 + 5)\times10=90\) people.
• Difference: \(90-70=(9 - 7)\times10=20\) people.

47.

• Picture Graph Analysis:
• Option A: Fantasy movies have \(7\) symbols (more than comedy (\(6\) symbols), thriller (\(5\) symbols), and animated (\(4\) symbols)), so fantasy movies are the most popular.
• Option B: Thriller movies have \(5\) symbols, and \(5\times10 = 50\) people.
• Option C: Animated movies (\(4\) symbols) are the least popular, not thriller movies.
• Option D: Total number of people \(=(6 + 5+7 + 4)\times10=220\) people (\(220>200\)).
• Option E: People who like comedy, thriller, and animated movies: \((6 + 5+4)\times10=150\) people, not \(140\) people.
• Option F: People who like thriller movies \(=5\times10 = 50\) people, people who like animated movies \(=4\times10 = 40\) people. The difference is \((5 - 4)\times10=10\) people, not \(20\) people.

Answer:

1. C
2. B
3. D
4. B
5. D
6. A
7. C
8. A, B, D