CCSS 8th Grade: Unit 4Analyzing &

Interpreting Linear Functions and Scatter

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Problem Bank: 8.F.A.2O Carl made a table to show how many miles he traveled on a trip.

O Dave also went on a trip and averaged 45mph over the course of his trip.

A.) What is the rate at which Carl traveled over the course of his trip?

B.) Compare the rates that Carl and Dave traveled at. Who traveled at a greater rate? What is the difference in rates?

Problem Bank: 8.F.A.2O Write an equations that has the same y-intercept as

the line in the graph and a slope that is the opposite of the slope in the graph.

Problem Bank: 8.F.A.2O Anita and Jerry made graphs to show their progress reading the same book over five days. What is the relationship between the number of pages Anita read each day and the number of pages Jerry read each day?

a.) Anita read half the number of pages Jerry read each dayb.) Anita read the same number of pages Jerry read each dayc.) Anita read two times the number of pages Jerry read each dayd.) Anita read three times the number of pages Jerry read each day

Problem Bank: 8.F.A.2O Elena and Kristen’s salaries are shown below. If both continue to increase at the same rates shown, which of the following statements is true for year 6?

a.) Elena’s salary was $30,000b.) Kristen’s salary was $26,000c.) Elena’s salary was $500 more than Kristen’sd.) Kristen’s salary was $500 more than Elena’s salary

Problem Bank: 8.F.A.2

O Write the Unit Rate for each scenario.

O Which scenario represents a greater speed?

Problem Bank: 8.F.A.2O Which statement is true about the lines on the graph?

A.) They have the same slope and the same y-interceptB.) They have the same slope but different y-interceptsC.) They have different slopes and the same y-interceptD.) They have different slopes and different y-intercepts

Louisiana Believes: 8.F.A.2O Which statement about the two companies is true?

A.) Company A mows for 20 more hours than Company B

B.) Company B mows for 20 more hours than Company A

C.) Company A uses 0.25 of a gallon more gas per hour than Company B

D.) Company B uses 0.25 of a gallon more gas per hour than Company A

Louisiana Believes: 8.F.A.2O Which equation has the same y-intercept as the line in the graph, and a slope that is the opposite of the slope in the graph?

A.) y = ½ x - 3

B.) y = ½ x + 3

C.) y = -2x - 3

D.) y = 2x - 3

Louisiana Believes: 8.F.A.2O Which statement about the slopes of the functions is true?

A.) The slopes of both functions are negative

B.) The slopes of both functions are positive

C.) Slope of function A is negative and Slope B is positive

D.) Slope of function A is positive and Slope B is negative

Louisiana Believes: 8.F.A.2O Which statement about the function in the table and the line represented by y = 6 is true?

A.) the lines don’t intersect

B.) the lines have same y-intercept

C.) lines both cross through origin

D.) lines both cross the x-axis but not the y-axis

Problem Bank: 8.F.B.5O The graph shows a student’s trip to school. This student walks to his friend’s house and together they ride a bus to school. The bus stops once before arriving at school.

O Describe in words how EACH part A – E relates to the story.

O Which letter shows where the bus stopped?

Problem Bank: 8.F.B.5

OIs the function linear or nonlinear? Explain.

OOver what intervals is the function increasing?

OOver what intervals is the function decreasing?

Louisiana Believes: 8.F.B.5O Which description of the function is true?

A.) The function is linear and always increasing

B.) The function is nonlinear and always increasing

C.) Function is decreasing from negative infinity to -1 and increasing from -1 to infinity

D.) Function is decreasing from negative infinity to -2 and increasing from -2 to infinity

Problem Bank: 8.F.B.5O Which graph best represents a person’s distance from

the ground while riding a Ferris Wheel?

Each day, Maria walks from home to school and then from school to home. The graphs that follow show the distance that Maria is from home at different times during the walk. Match the graphs to the descriptions of Maria’s walk shown to the right of the graphs. Next to each graph, enter the letter (A, B, C, D) of the description that best matches the graph. 

A. Maria walks from school to her friend’s house. She visits her friend for a while. Then she walks the rest of the way home.B. Maria walks from home to school at a constant rate.C. Maria starts to walk from home to school. She stops to see whether she has her homework. She realizes she forgot her homework and runs back home to get it.D. Maria walks from school to home at a constant rate.

PARCC: 8.F.B.5

Problem Bank: 8.F.B.5

ODescribe in detail a real-life story problem that would math the situation in the graph.

Problem Bank: 8.F.B.5O Gabe takes a bike ride starting from home. He travels 4 miles in 6 minutes. He then gets stopped in traffic for 3 minutes. Frustrated, Gabe decides to bike home, which takes 8 more minutes.

O Draw a graph of Gabe’s distance from home as a function of the time since he left.

O Describe the slope of each portion of this graph.

Problem Bank: 8.F.B.5

ODescribe what is happening between 9 a.m. and 11 a.m?

OWhat do you think the bicyclist is doing between 11 a.m. and 1 p.m.? How do you know?

OWhat is the average speed of the bicyclist between 1 p.m. and 4 p.m.?

Scatter Plots have 3 Types of Correlation

O Positive Negative No Correlation

Reference Sheet

Problem Bank: 8.SP.A.1O Write a sentence that describes the relationship (positive,

negative, no association) between the data displayed in the scatterplot and explain what this means in real world terms.

Problem Bank: 8.SP.A.1O For each of the 3 graphs shown below determine if there

is a positive trend, negative trend, or no correlation between the data. Put you answers in the blanks.

Problem Bank: 8.SP.A.1O Write a sentence describing the type of correlation/relationship

that exists between the two variables shown in the graph and then explain what this means in real-life terms in this situation.

Problem Bank: 8.SP.A.1O Kara made the scatterplot below to represent the number of

strikeouts and walks each of 10 baseball players had last week. Which scatterplot shows line of best fit?

Louisiana Believes: 8.SP.A.1O Paul creates a scatter plot with a negative association. The x-axis of the scatter plot is titles, “Minutes Spent At Mall.” Which label is most likely the title of the y-axis of Paul’s

scatter plot?

A.) Distance Walked

B.) Money Available to Spend

C.) Number of Movies Seen

D.) Number of Stores Visited

Problem Bank: 8.SP.A.1O The table shows the relationship between the ounces and

the calories in Ashana’s favorite snacks. Which scatter plot shows this same data?

Problem Bank: 8.SP.A.1O The scatter plot below shows the time cheese has been aging and the amount of lactic acid present in the cheese. Which statement is MOST strongly supported by the scatterplot?

A.) the longer the cheese ages, the more lactic acid is presentB.) the longer the cheese ages, the less lactic acid is presentC.) the amount of lactic acid present remains constant as cheese agesD.) no relationship exists between the time cheese ages and the amount of lactic acid present

Problem Bank: 8.SP.A.2O Draw a line of best fit for the scatterplot below and then

determine if the scatterplot shows a positive trend, a negative trend, or no trend.

Problem Bank: 8.SP.A.2O Draw a line of best fit for the scatterplot below and then

determine if the scatterplot shows a positive trend, a negative trend, or no trend.

Problem Bank: 8.SP.A.2O Draw a line of best fit for the scatterplot below and then

determine if the scatterplot shows a positive trend, a negative trend, or no trend. What does this mean in real-world terms?

Problem Bank: 8.SP.A.2O Draw a line of best fit.

O What type of correlation exists between the year and the number of CD’s sold?

O Explain in real-world terms what the data suggests in this correlation.

Problem Bank: 8.SP.A.2O The scatterplot and line of best fit below show the average price of a gallon of gasoline, in dollars, for a 20-year span. The data for year, 0, year 1, and year 20 will be removed. How will this affect the line of best fit?

A.) the line of best fit won’t be affected

B.) the line of best fit will become horizontal

C.) the y-intercept of the line of best fit will increase

D.) the y-intercept of the line of best fit will decrease