This question tests understanding of unit rate as the amount of the first quantity per one unit of the second, using rate language like 'per' or 'for each' in pricing contexts. A ratio like 75:15 dollars to hamburgers becomes a unit rate by dividing 75 by 15, giving 5 dollars per hamburger or $5 for each hamburger. Rate language should include 'per' or 'for each,' such as '$5 per hamburger,' and units are essential, like dollars per hamburger ($/hamburger). The calculation involves dividing the first quantity by the second: 75 ÷ 15 = 5. For example, with $75 for 15 hamburgers, calculate 75 ÷ 15 = 5, so the unit rate is $5 per hamburger, meaning each hamburger costs $5. The correct unit rate is $5 per hamburger. A common error is stating the ratio as 75:15 instead of the unit rate, taking the reciprocal like 15/75 = 0.2, omitting units like just '5,' using the difference 75 - 15 = 60, or reversing direction to hamburgers per dollar. To find the unit rate: (1) identify the ratio (75:15 dollars to hamburgers), (2) divide first by second (75 ÷ 15 = 5), (3) express with units ($5 per hamburger), (4) use rate language ('costs $5 per hamburger'). Interpretation: the unit rate tells that for each hamburger, the cost is $5. Ratio compares totals (75:15), while unit rate simplifies to per unit (5 per). Common contexts include cost per item, like unit pricing in stores.

This question tests understanding of unit rate as the amount of dollars per one ticket, using rate language like 'per' in the context of group pricing. The ratio of $120 to 15 tickets becomes a unit rate by dividing 120 by 15, resulting in $8 per ticket, meaning $8 for each one ticket. Rate language includes 'per' or 'for each,' such as '$8 per ticket' or 'for each ticket, it costs $8.' Units are essential: $8 per ticket ($/ticket). Calculation: divide dollars by tickets (120 ÷ 15 = 8). For example, $120 for 15 tickets calculates to 120÷15=8, so the unit rate is $8 per ticket (each ticket costs $8). The correct unit rate is $8 per ticket with proper language and units. A common error is dividing incorrectly like 15/120=0.125 tickets per dollar, or stating the ratio $120:15, or miscalculating as 120÷15=7. To find the unit rate: (1) identify the ratio (120:15 dollars to tickets), (2) divide first by second (120÷15=8), (3) express with units (8 dollars per ticket), (4) use rate language ('costs $8 per ticket'). Interpretation: this unit rate tells that each ticket costs $8. Ratio vs unit rate: ratio compares (120:15), unit rate simplifies to per-unit (8 per).

This question tests understanding of unit rate as the amount of miles per one hour, using rate language like 'per' in the context of cycling speed. The ratio of 180 miles to 3 hours becomes a unit rate by dividing 180 by 3, resulting in 60, which means 60 miles per hour or 60 miles for each one hour; rate language includes 'per' or 'for each,' and units are essential, such as miles per hour (mph). For example, with 180 miles in 3 hours, calculate 180 ÷ 3 = 60, so the unit rate is 60 miles per hour (travel 60 miles in each hour). The correct unit rate is 60 miles per hour. A common error is stating the ratio as 180:3 without dividing, or adding like 180 + 3 = 183, or inverting to hours per mile. To find the unit rate: (1) identify the ratio (180:3 miles to hours), (2) divide miles by hours (180 ÷ 3 = 60), (3) express with units (60 miles per hour), (4) use rate language ('60 miles per hour'). This unit rate tells the speed per one hour, simplifying the total journey into a per-unit measure.

This question tests understanding of unit rate as the amount of dollars per one notebook, using rate language like 'per' in the context of pricing. The ratio of $18 to 6 notebooks becomes a unit rate by dividing 18 by 6, resulting in $3 per notebook, meaning $3 for each one notebook. Rate language includes 'per' or 'for each,' such as '$3 per notebook' or 'for each notebook, it costs $3.' Units are essential: $3 per notebook ($/notebook). Calculation: divide dollars by notebooks (18 ÷ 6 = 3). For example, $18 for 6 notebooks calculates to 18÷6=3, so the unit rate is $3 per notebook (each notebook costs $3). The correct unit rate is $3 per notebook with proper language and units. A common error is stating the ratio like $18:6 instead of the unit rate, or reversing to 6/18=$0.33 notebooks per dollar, or omitting units like just '3.' To find the unit rate: (1) identify the ratio (18:6 dollars to notebooks), (2) divide first by second (18÷6=3), (3) express with units (3 dollars per notebook), (4) use rate language ('costs $3 per notebook'). Interpretation: this unit rate tells that each notebook costs $3. Ratio vs unit rate: ratio compares (18:6), unit rate simplifies to per-unit (3 per).

This question tests understanding of unit rate as the amount of minutes per one song, using rate language like 'per' in the context of playlists. The ratio of 45 minutes to 9 songs becomes a unit rate by dividing 45 by 9, resulting in 5 minutes per song, meaning 5 minutes for each one song. Rate language includes 'per' or 'for each,' such as '5 minutes per song' or 'for each song, it takes 5 minutes.' Units are essential: 5 minutes per song (min/song). Calculation: divide minutes by songs (45 ÷ 9 = 5). For example, 45 minutes across 9 songs calculates to 45÷9=5, so the unit rate is 5 minutes per song (each song is 5 minutes long). The correct unit rate is 5 minutes per song with proper language and units. A common error is reversing to 9/45=0.2 songs per minute, or stating the ratio 45:9, or adding like 45+9=54. To find the unit rate: (1) identify the ratio (45:9 minutes to songs), (2) divide first by second (45÷9=5), (3) express with units (5 minutes per song), (4) use rate language ('5 minutes per song'). Interpretation: this unit rate tells that each song lasts 5 minutes. Ratio vs unit rate: ratio compares (45:9), unit rate simplifies to per-unit (5 per).

This question tests understanding of unit rate as the amount of dollars per one bottle, using rate language like 'per' in the context of bulk purchases. The ratio of $49 to 14 bottles becomes a unit rate by dividing 49 by 14, resulting in $3.50 per bottle, meaning $3.50 for each one bottle. Rate language includes 'per' or 'for each,' such as '$3.50 per bottle' or 'for each bottle, it costs $3.50.' Units are essential: $3.50 per bottle ($/bottle). Calculation: divide dollars by bottles (49 ÷ 14 = 3.5). For example, $49 for 14 bottles calculates to 49÷14=3.5, so the unit rate is $3.50 per bottle (each bottle costs $3.50). The correct unit rate is $3.50 per bottle with proper language and units. A common error is dividing incorrectly like 14/49≈0.286 bottles per dollar, or rounding wrong like $3, or stating the ratio $49:14. To find the unit rate: (1) identify the ratio (49:14 dollars to bottles), (2) divide first by second (49÷14=3.5), (3) express with units (3.50 dollars per bottle), (4) use rate language ('costs $3.50 per bottle'). Interpretation: this unit rate tells that each bottle costs $3.50. Ratio vs unit rate: ratio compares (49:14), unit rate simplifies to per-unit (3.5 per).

This question tests understanding of unit rate as the amount of dollars per one marker, using rate language like 'per' in the context of unit pricing. The ratio of $14 to 7 markers becomes a unit rate by dividing 14 by 7, resulting in 2, which means $2 per marker or $2 for each one marker; rate language includes 'per' or 'for each,' and units are essential, such as dollars per marker ($/marker). For example, with $14 for 7 markers, calculate 14 ÷ 7 = 2, so the unit rate is $2 per marker (each marker costs $2). The correct unit rate is $2 per marker. A common error is stating the ratio as 14:7 without dividing, or reversing to markers per dollar like 7/14 = 0.50, or adding instead of dividing. To find the unit rate: (1) identify the ratio (14:7 dollars to markers), (2) divide dollars by markers (14 ÷ 7 = 2), (3) express with units ($2 per marker), (4) use rate language ('$2 per marker'). This unit rate tells the cost per one marker, making it distinct from the pack ratio for individual pricing.

This question tests understanding of unit rate as the amount of the first quantity per one unit of the second, using rate language like 'per' or 'for each' in grouping contexts. A ratio like 24:3 students to teachers becomes a unit rate by dividing 24 by 3, giving 8 students per teacher or 8 students for each teacher. Rate language should include 'per' or 'for each,' such as '8 students per teacher,' and units are essential, like students per teacher. The calculation involves dividing the first quantity by the second: 24 ÷ 3 = 8. For example, with 24 students for 3 teachers, calculate 24 ÷ 3 = 8, so the unit rate is 8 students per teacher, meaning 8 students for each teacher. The correct unit rate is 8 students per teacher. A common error is reversing to teachers per student like 3/24=1/8, adding 24+3=27 or 21, omitting units like just '8,' or wrong division like 24/2=12. To find the unit rate: (1) identify the ratio (24:3 students to teachers), (2) divide first by second (24 ÷ 3 = 8), (3) express with units (8 students per teacher), (4) use rate language ('8 students per teacher'). Interpretation: the unit rate tells that for each 1 teacher, there are 8 students. Ratio compares totals (24:3), while unit rate simplifies to per unit (8 per). Common contexts include ratios in groups, like students per teacher.

This question tests understanding of unit rate as the amount of the first quantity per one unit of the second, using rate language like 'per' or 'for each' in speed contexts. A ratio like 96:2 miles to hours becomes a unit rate by dividing 96 by 2, giving 48 miles per hour or 48 mph for each hour. Rate language should include 'per' or 'for each,' such as '48 miles per hour,' and units are essential, like miles per hour (mph). The calculation involves dividing the first quantity by the second: 96 ÷ 2 = 48. For example, with 96 miles in 2 hours, calculate 96 ÷ 2 = 48, so the unit rate is 48 miles per hour, meaning 48 miles traveled each hour. The correct unit rate is 48 miles per hour. A common error is adding like 96-2=94 or 96*2=192, reducing wrong like 2/96, omitting units like just '48,' or reversing direction. To find the unit rate: (1) identify the ratio (96:2 miles to hours), (2) divide first by second (96 ÷ 2 = 48), (3) express with units (48 miles per hour), (4) use rate language ('48 miles per hour'). Interpretation: the unit rate tells that in each 1 hour, 48 miles are traveled. Ratio compares totals (96:2), while unit rate simplifies to per unit (48 per). Common contexts include transportation speed, like miles per hour.

This question tests understanding of unit rate as the amount of miles per one hour, using rate language like 'per' in the context of speed. The ratio of 12 miles to 3 hours becomes a unit rate by dividing 12 by 3, resulting in 4 miles per hour, meaning 4 miles for each one hour. Rate language includes 'per' or 'for each,' such as '4 miles per hour' or 'for each hour, travels 4 miles.' Units are essential: 4 miles per hour (mph). Calculation: divide miles by hours (12 ÷ 3 = 4). For example, 12 miles in 3 hours calculates to 12÷3=4, so the unit rate is 4 miles per hour (travels 4 miles each hour). The correct unit rate is 4 miles per hour with proper language and units. A common error is multiplying instead of dividing like 12×3=36, or stating the ratio 12:3, or reversing to 3/12=0.25 hours per mile. To find the unit rate: (1) identify the ratio (12:3 miles to hours), (2) divide first by second (12÷3=4), (3) express with units (4 miles per hour), (4) use rate language ('4 miles per hour'). Interpretation: this unit rate tells that in each hour, the runner travels 4 miles. Ratio vs unit rate: ratio compares (12:3), unit rate simplifies to per-unit (4 per).