Select all the points that are on the graph of the equation 4y-6x=12.
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Here is a graph of the equation x+3y=6.
Select all coordinate pairs that represent a solution to the equation.
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3.
A theater is selling tickets to a play. Adult tickets cost $8 each and children’s tickets cost $5 each. They collect $275 after selling x adult tickets and y children’s tickets.
What does the point (30,7) mean in this situation?
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4.
During the month of August, the mean of the daily rainfall in one city was 0.04 inches with a standard deviation of 0.15 inches. In another city, the mean of the daily rainfall was 0.01 inches with a standard deviation of 0.05 inches.
Han says that both cities had a similar pattern of precipitation in the month of August. Do you agree with Han?
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5.
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round.
Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents.
the allowable number of players on a team
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6.
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round.
Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents.
the number of points Han's team earns in one round if every player earns a perfect score
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7.
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round.
Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents.
the number of points Han's team earns in one round if no players earn a perfect score
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1
8.
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round.
Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents.
the number of players in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each
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9.
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round.
Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents.
the possible number of players in a game with eight teams
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10.
A student on the cross-country team runs 30 minutes a day as a part of her training.
Write an equation to describe the relationship between the distance she runs in miles, D, and her running speed, in miles per hour, when she runs:
at a constant speed of 4 miles per hour for the entire 30 minutes
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11.
A student on the cross-country team runs 30 minutes a day as a part of her training.
Write an equation to describe the relationship between the distance she runs in miles, D, and her running speed, in miles per hour, when she runs:
at a constant speed of 5 miles per hour the first 20 minutes, and then at 4 miles per hour the last 10 minutes
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12.
A student on the cross-country team runs 30 minutes a day as a part of her training.
Write an equation to describe the relationship between the distance she runs in miles, D, and her running speed, in miles per hour, when she runs:
at a constant speed of 6 miles per hour the first 15 minutes, and then at 5.5 miles per hour for the remaining 15 minutes
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13.
A student on the cross-country team runs 30 minutes a day as a part of her training.
Write an equation to describe the relationship between the distance she runs in miles, D, and her running speed, in miles per hour, when she runs:
at a constant speed of a miles per hour the first 6 minutes, and then at 6.5 miles per hour for the remaining 24 minutes
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14.
A student on the cross-country team runs 30 minutes a day as a part of her training.
Write an equation to describe the relationship between the distance she runs in miles, D, and her running speed, in miles per hour, when she runs:
at a constant speed of 5.4 miles per hour for m minutes, and then at b miles per hour for n minutes
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15.
The table shows the amount of money, A, in a savings account after m months.
Select all the equations that represent the relationship between the amount of money, A, and the number of months, m.
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This lesson is from Illustrative Mathematics. Algebra 1, Unit 2, Lesson 5. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/2/5/index.html ; accessed 26/July/2021.
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