Consider the graph of a linear equation. Which two statements are true?

The graph represents the equation $$𝑥-2𝑦=-2$$

The point $$(-2,0)$$ is on the line.

The graph represents the equation $$𝑥+2𝑦=2$$

The point $$(0,-2)$$ is on the line.

The point $$(1,\ 0)$$ is on the line.

Five students write a statement about the graph of the linear function. Which two students write a correct statement?

Student 1:The coordinates of the 𝒚-intercept are (𝟎,-𝟑).

Student 2: The 𝒙-intercept of the function is located at (𝟒, 𝟎).

Student 3:The function is decreasing.

Student 4: The coordinates of the 𝒚-intercept are (−𝟑, 𝟎).

Student 5: The 𝒙-intercept of the function is located at (𝟎, 𝟒).

A homeowner hires a carpenter for a project replacing kitchen cabinets. The homeowner pays a flat cost for materials and a price per hour, 𝒉, for the installation of the cabinets. The function 𝑻(𝒉)=𝟑𝟓𝒉+𝟕𝟎𝟎 represents the total cost of the project. Which statement is true?

The value 35 is the slope of the function, and it represents the price per hour for the installation of the cabinets.

The value 35 is the slope of the function, and it represents the flat cost for materials.

he value 35 is the 𝑦-intercept of the function, and it represents the flat cost for materials.

The value 35 is the 𝑦-intercept of the function, and it represents the price per hour for the installation of the cabinets.

A student surveys 𝟏𝟎 students at school to estimate the amount of time students spend completing schoolwork compared to playing video games. The student creates a scatter plot based on the data. The data on the scatter plot can be represented by the linear model 𝒚=-𝟑𝒙+𝟏𝟖𝟖, where 𝒙 represents the number of minutes spent completing schoolwork, and 𝒚 represents the number of minutes spent playing video games. Which statement is true?

For each additional minute spent completing schoolwork, the number of minutes spent playing video games decreases by 3 minutes.

For each additional minute spent completing schoolwork, the number of minutes spent playing video games increases by 3 minutes.

For each additional minute spent playing video games, the number of minutes spent completing schoolwork decreases by 3 minutes.

For each additional minute spent playing video games, the number of minutes spent completing schoolwork increases by 3 minutes.

A competitive weightlifter trains for a meet and analyzes the data for the average number of pounds lifted, 𝒚, over a variety of exercises for 𝒙 days since the start of training. The linear model 𝒚=𝟎.𝟐𝟑𝒙+𝟐𝟐𝟓 can be used to represent the data when `𝒙\ge𝟎.` Which best describe the value 𝟐𝟐𝟓? Select ALL that apply.

initial number of pounds lifted on day 0

change in pounds lifted per day of training

The plot shows the number of patients registered at a medical clinic suffering from a cold and the number of days each patient takes antibiotics. Which statement is true?

The plot shows a negative correlation, which indicates that as the number of days each patient takes antibiotics increases, the number of patients suffering from a cold decreases.

The plot shows a positive correlation, which indicates that as the number of days each patient takes antibiotics increases, the number of patients suffering from a cold decreases.

The plot only shows a negative correlation, which does not indicate that as the number of days each patient takes antibiotics increases, the number of patients suffering from a cold decreases.

The plot only shows a positive correlation, which does not indicate that as the number of days each patient takes antibiotics increases, the number of patients suffering from a cold decreases.

The table shows the data collected from a survey of cat owners that asked each owner’s age, 𝒙, in years, and the number of cats, 𝒚, owned. Which statement is true? (Use the Desmos Graphing Calculator to determine the correlation coefficient.)

The correlation coefficient is approximately -0.33, and it represents a weak linear relationship between the variables.

The correlation coefficient is approximately 0.33, and it represents a weak linear relationship between the variables.

The correlation coefficient is approximately 0.33, and it represents a strong linear relationship between the variables.

The correlation coefficient is approximately -0.33, and it represents a strong linear relationship between the variables.

Alg MVP #1 Review

Authored by David Tracey

Mathematics

9th Grade

Used 1+ times

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20 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A tree is currently 𝟐 feet tall and grows 𝟏.𝟑 feet per year. Which inequality represents the time, in 𝒙 years, when the tree will have a height of at least 𝟐𝟎 feet?

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A couple drives to a gas station from a movie theater at a constant rate. The graph shows the number of miles remaining, 𝒚, after 𝒙 minutes of driving.
Which equation best represents the graph?

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The couple stops at the gas station to purchase a bottle of engine oil and 𝒈 gallons of gas. The bottle of engine oil costs $𝟕.𝟓𝟎, and gas costs $𝟐.𝟔𝟒 per gallon.
Which equation represents the total cost, 𝑻, the couple spends at the gas station based on the number of gallons of gas purchased?

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A garden store sells potted plants and shrubs.
A softball coach is purchasing equipment for the team at a sporting goods store. Each softball glove costs $𝟑𝟎, and each batting helmet costs $𝟐𝟓. The coach spends at most $𝟔𝟎𝟎.
Which inequality represents all the possible combinations of 𝒈, the number of gloves, and 𝒉, the number of helmets, the coach can purchase?

MATH RESPONSE QUESTION

2 mins • 1 pt

The weight of a chimpanzee, 𝒚, in pounds, 𝒙 months after birth is modeled by the equation 𝒚=𝟏.𝟓𝒙+𝟖.
Which represents the equation when solved for 𝒙?

Mathematical Equivalence

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Consider the ceramic tile in the shape of a regular pentagon, where each side measures (𝟐𝒙-𝟔)inches.
If the perimeter of the ceramic tile, 𝑷, in inches, is represented by the equation 𝑷=𝟓(𝟐𝒙-𝟔), which represents the equation when solved for 𝒙?

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Both students solve the equation correctly, and each makes no mistakes.

Both students solve the equation incorrectly, and each makes mistakes

Only Student 1 solves the equation correctly, while Student 2 solves the equation incorrectly.

Only Student 2 solves the equation correctly, while Student 1 solves the equation incorrectly.

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Alg MVP #1 Review

A tree is currently 𝟐 feet tall and grows 𝟏.𝟑 feet per year. Which inequality represents the time, in 𝒙 years, when the tree will have a height of at least 𝟐𝟎 feet?

A couple drives to a gas station from a movie theater at a constant rate. The graph shows the number of miles remaining, 𝒚, after 𝒙 minutes of driving.Which equation best represents the graph?

The weight of a chimpanzee, 𝒚, in pounds, 𝒙 months after birth is modeled by the equation 𝒚=𝟏.𝟓𝒙+𝟖. Which represents the equation when solved for 𝒙?

Consider the ceramic tile in the shape of a regular pentagon, where each side measures (𝟐𝒙-𝟔)inches.If the perimeter of the ceramic tile, 𝑷, in inches, is represented by the equation 𝑷=𝟓(𝟐𝒙-𝟔), which represents the equation when solved for 𝒙?

Consider the graph of a linear equation.Which two statements are true?

A student uses a tablet to stream a math video. The table represents the percent of battery remaining after 𝒏 minutes of streaming.Which function best represents the situation?

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Discover more resources for Mathematics

A couple drives to a gas station from a movie theater at a constant rate. The graph shows the number of miles remaining, 𝒚, after 𝒙 minutes of driving.
Which equation best represents the graph?

The weight of a chimpanzee, 𝒚, in pounds, 𝒙 months after birth is modeled by the equation 𝒚=𝟏.𝟓𝒙+𝟖.
Which represents the equation when solved for 𝒙?

Consider the ceramic tile in the shape of a regular pentagon, where each side measures (𝟐𝒙-𝟔)inches.
If the perimeter of the ceramic tile, 𝑷, in inches, is represented by the equation 𝑷=𝟓(𝟐𝒙-𝟔), which represents the equation when solved for 𝒙?

Consider the graph of a linear equation.
Which two statements are true?

A student uses a tablet to stream a math video. The table represents the percent of battery remaining after 𝒏 minutes of streaming.
Which function best represents the situation?