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MCAP, Maryland Comprehensive Assessment Program

This page shows questions in the Math 8 Year 1 public release module at MSDE. 8th Grade Math
"Math 8 Year 1"

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Expand All Official Practice Test

This is a multiple choice question that allows you to select several options.

Each set of ordered pairs ordered pair x, y represents a relationship with input, x, and output, y. Which relationships are functions?

Select all that apply.

  1. A.
    open brace, ordered pair 0, 1; ordered pair 0, 2; ordered pair 0, 3, close brace
  2. B.
    open brace, ordered pair 1, 1; ordered pair 2, 2; ordered pair 3, 3, close brace
  3. C.
    open brace, ordered pair 1, 1; ordered pair 2, 1; ordered pair 3, 1, close brace
  4. D.
    open brace, ordered pair 1, 1; ordered pair 2, 2; ordered pair 2, negative 2, close brace
  5. E.
    open brace, ordered pair 1, negative 1; ordered pair 2, negative 2; ordered pair 3, negative 3, close brace

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This is a multiple choice question that allows you to select several options.

Which of the expressions have a value of 4?

Select each correct answer.

  1. A.
    the cube root of 64
  2. B.
    the cube root of 8
  3. C.
    the square root of 16
  4. D.
    the square root of 64
  5. E.
    the square root of 4

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This is a multiple choice question that allows you to select several options.

Which equations represent a linear function?

Select each correct equation.

  1. A.
    y equals 2 x
  2. B.
    y equals 7 x squared plus 9
  3. C.
    2 x minus one-half y equals 8
  4. D.
    7 minus y equals x
  5. E.
    y equals x cubed plus 6
  6. F.
    4 y equals 4 x
  7. G.
    2 y equals x

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This is a multiple choice question that allows you to select only one option.

Which of these numbers is equivalent to twenty two thirds?

  1. A.
    zero point 1 3 6
  2. B.
    zero point 1 3 6 with 3 6 repeating
  3. C.
    7 point 3
  4. D.
    7 point 3 repeating

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This is a fill in the blank question that allows you to enter only numbers.

In the equation shown, what is the value of n? fraction with numerator of 9 raised to the seventh power and denominator of 9 raised to the power of n, equals nine squared

Enter your answer in the box.

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This is a multiple choice question that allows you to select only one option.

A system of equations is shown.System of equations. First equation, 3 x plus 2 y equals 5. Second equation, y equals two thirds.

Which statement describes the solution to the system?

  1. A.
    The system has no solution.
  2. B.
    The system has exactly 1 solution.
  3. C.
    The system has exactly 2 solutions.
  4. D.
    The system has infinitely many solutions.

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This is a multiple choice question that allows you to select several options.

The owner of a canoe-rental shop is comparing the average monthly rainfall, in inches, to the number of canoe rentals per month. The data are shown in the scatter plot.

1 2 3 4 5 6 50 100 150 200 250 300 350 400 450 500 0 x y Canoe Rentals Average Monthly Rainfall (inches) Number of Canoe Rentals per Month Image A scatter plot titled canoe rentals. The x axis is labeled average monthly rainfall in inches and ranges from 0 to 6 in increments of one half. The y axis is labeled number of canoe rentals per month and ranges from 0 to 500 in increments of 50. Twelve points are plotted, 11 of which are very close to a straight line drawn from one-fourth inch, 480 to five and one-half inches, 200. One point of the 12 is drawn at 2, 170, significantly below the line for the other points.

Which sentences correctly describe the data?

Select each correct answer.

  1. A.
    The data have a linear association.
  2. B.
    The data have a nonlinear association.
  3. C.
    The data have a positive association.
  4. D.
    The data have a negative association.
  5. E.
    The data have at least one outlier.
  6. F.
    The data do not have any outliers.

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This is a multiple choice question that allows you to select only one option.

A bathtub filled with water has a slow leak. The graph shows the relationship between y, the amount of water, in cups, that leaks from the bathtub and x, the number of hours.

1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 x y Bathtub Leak Time (hours) Amount of Water (cups) Image A line graph titled bathtub leak. The x axis is labeled time in hours. The y axis is labeled amount of water in cups. Both axes range from 0 to 10 in increments of 1. The line starts at 0, 0, goes through the point 6, 4, and ends with an arrow at 10, midway between 6 and 7.

What is the flow rate of the leak?

  1. A.
    one fourth cup per hour
  2. B.
    two thirds cup per hour
  3. C.
    four thirds cups per hour
  4. D.
    three halves cups per hour

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This is a question with 2 parts, including a multiple choice question that allows you to select only one option, and, a fill in the blank question that allows you to enter only numbers.

The perimeter of triangle DEF is 81 units. The length of side DE is twice the length of side EF, and the length of side DF is 4 units less than the length of side DE.

Part A

Let s represent the length, in units, of side EF. Which equation can be used to find the value of s?

  1. A.
    s plus 2 s plus 4 equals 81
  2. B.
    s plus 2 s minus 4 equals 81
  3. C.
    s plus 2 s plus 2 s plus 4 equals 81
  4. D.
    s plus 2 s plus 2 s minus 4 equals 81

Part B

What will be the length, in units, of side EF?

Enter your answer in the box.

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This is a test question that allows you to enter extended text in your response.

The diagrams shown are the top views of two swimming pools.

Swimming Pool A Swimming Pool B Image Two swimming pools are shown. Swimming Pool A has three lanes, and swimming pool B has 10 lanes. Swimming pool B is about twice as long as swimming pool A.

Swimming Pool A has lanes for 3 swimmers and Swimming Pool B has lanes for 10 swimmers. The swimming pools have the same uniform depth. Swimming Pool B contains approximately six point six times ten to the fifth gallons of water.

Estimate the number of gallons of water in Swimming Pool A. Express your answer in scientific notation. Explain how you determined your estimate.

Enter your answer and your explanation in the space provided.

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This is a question with 2 parts, including a question with drop-down menus from which you must select an option to fill in the blank.

Function A is a linear function that passes through the points shown in the table.

Function A
x y
6 7
negative 3 4

Function B is a linear function defined by the equation y equals 2 x plus 1

Select from the drop-down menus to correctly complete each sentence.

The slope of Function A is  
  the slope of Function B.
The y-intercept of Function A is  
  the y-intercept of Function B.

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This is a multiple choice question that allows you to select only one option.

A truck scale is used to weigh heavy objects. The scale cannot weigh objects less than 70 kilograms or greater than 34,000 kilograms.

Which of the following measurements could be a reading from this scale?

  1. A.
    7 point 5 times 10 to the zeroth power killograms
  2. B.
    6 point 2 times 10 to the first power killograms
  3. C.
    4 point 5 times 10 to the third power killograms
  4. D.
    2 point 3 times 10 to the fifth power killograms

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This is a test question that allows you to enter extended text in your response.

Two rival companies began the same year. The equations below model the number of employees, y, at these companies x years after the companies began.

Company R: y equals 3 x plus 24

Company T: y equals 4 x plus 10

Company R stated, "We have 42 employees, the same number of employees as company T has this year." Determine if company R's claim is possible. Explain your reasoning.

Company T stated, "After 15 years, we will have the same number of employees as company R." Determine if company T's claim is possible. Explain your reasoning.

Enter your answers and your explanations in the space provided.

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This is a question with 2 parts, including a multiple choice question that allows you to select only one option.

The average price of a movie ticket from 1960 to 1990 can be modeled by the equation y equals 0 point 1 2 x plus 0 point 48, where y represents the average price, in dollars, and x represents the number of years since 1960.

Part A

What does the slope of the graph of the equation y equals 0 point 1 2 x plus 0 point 48 represent?

  1. A.
    the average price of a movie ticket in 1960
  2. B.
    the average price of a movie ticket in 1990
  3. C.
    the increase in the average price of a movie ticket each year from 1960 to 1990
  4. D.
    the total increase in the average price of a movie ticket every 30 years

Part B

For which year does the equation y equals 0 point 1 2 x plus 0 point 48, predict the average price of a movie ticket to be $3.00?

  1. A.
    1979
  2. B.
    1981
  3. C.
    1983
  4. D.
    1985

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This is a test question that allows you to enter extended text in your response.

A 10-ounce box of cereal costs $3. A 20-ounce box of the same cereal costs $5. A third box of the same cereal costs $8.

  • Use the given relationships to write a linear equation that expresses the price of a box of cereal as a function of the number of ounces of cereal in the box.
  • Calculate the number of ounces of cereal in the third box.
  • Show your work or explain your answer.

Enter your equation, your answer, and your work in the space provided.

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This is a question with 2 parts, including a fill in the blank question that allows you to enter only numbers.

The cone shown in the diagram has a circular base with a radius of 6 inches perpendicular to the height. The volume of the cone is 414.7 cubic inches.

A cone with height h and radius 6 inches.

Part A

What is the height, h, of the cone to the nearest whole inch?

Enter your answer in the box.

inches

Part B

If the length of the radius is doubled and the height of the cone changed to 8 inches, find the volume of the new cone. Round your answer to the nearest whole cubic inch.

Enter your answer in the box.

cubic inches

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This is a question with 2 parts, including a multiple choice question that allows you to select only one option, and, a test question that allows you to enter extended text in your response.

The equation of line s is y equals negative 3 x plus 2.

The equation of line t is y equals one half x minus 3.

Line s and line t form a system of equations. The solution to the system of equations is located at point P.

Part A

Which graph correctly shows line s, line t, and point P?

  1. A.
    Line s and line t are plotted on a coordinate plane with x and y axes ranging from negative 9 to 9 in increments of 1. Line s begins at a little less than negative 2, 9, goes down through the points negative 1, 5; 0, 2; and 1, negative 1. It ends with an arrow at a point midway between three and four, negative 9. Line t begins at a point negative 9, midway between negative 7 and negative 8, goes up through the points negative 6, negative 6; negative 2, negative 4; and four, negative 1. It ends with an arrow at the point 9, midway between 1 and 2. Point P is plotted at the intersection of lines s and t, at a point midway between 1 and 2, a little less than negative 2.
  2. B.
    Line s and line t are plotted on a coordinate plane with x and y axes ranging from negative 9 to 9 in increments of 1. Line s begins at a little less than negative 2, 9, goes down through the points negative 1, 5; 0, 2; and 1, negative 1. It ends with an arrow at a point midway between three and four, negative 9. Line t begins at a point negative 9, midway between negative 7 and negative 8, goes up through the points negative 6, negative 6; negative 2, negative 4; and four, negative 1. It ends with an arrow at the point 9, midway between 1 and 2. Point P is plotted on line t at the point 0, negative 3.
  3. C.
    Line s and line t are plotted on a coordinate plane with x and y axes ranging from negative 9 to 9 in increments of 1. Line s begins at a little less than negative 2, 9, goes down through the points negative 1, 5; 0, 2; and 1, negative 1. It ends with an arrow at a point midway between three and four, negative 9. Line t begins at a point negative 3, negative 9, goes up through the points negative 1, negative 5; 2, 1; and 5, 7. It ends with an arrow at the point 6, 9. Point P is plotted at the intersection of lines s and t, at the point 1, negative 1.
  4. D.
    Line s and line t are plotted on a coordinate plane with x and y axes ranging from negative 9 to 9 in increments of 1. Line s begins at a little less than negative 2, 9, goes down through the points negative 1, 5; 0, 2; and 1, negative 1. It ends with an arrow at a point midway between three and four, negative 9. Line t begins at a point negative 3, negative 9, goes up through the points negative 1, negative 5; 2, 1; and 5, 7. It ends with an arrow at the point 6, 9. Point P is plotted on line t at the point 0, negative 3.

Part B

Can an equation of a line share more than one solution with line s?

  • If yes, explain your reasoning and provide an example of an equation.
  • If no, explain your reasoning and list any assumptions that you have made.

Enter your answer and your explanation in the space provided.

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This is a question with 4 parts, including a multiple choice question that allows you to select only one option, and, a fill in the blank question that allows you to enter only numbers.

A store sells almonds for $8 per pound and peanuts for $14 per pound. A customer paid $31.50 for a 3-pound mixture of almonds and peanuts. The system of equations shown can be used to represent this situation.System of equations. First equation, x plus y equals 3. Second equation, 8 x plus 14 y equals 31 point 5.

Part A

What does the variable x represent in this system of equations?

  1. A.
    the number of dollars the customer paid for almonds
  2. B.
    the number of dollars the customer paid for peanuts
  3. C.
    the number of pounds of almonds the customer purchased
  4. D.
    the number of pounds of peanuts the customer purchased

Part B

What does the term 14 y represent in this system of equations?

  1. A.
    the total number of dollars the customer paid for almonds
  2. B.
    the total number of dollars the customer paid for peanuts
  3. C.
    the number of dollars the customer paid for 1 pound of almonds
  4. D.
    the number of dollars the customer paid for 1 pound of peanuts

Part C

What is the value of x in the solution to the system of equations?

Enter your answer in the box.

Part D

The customer bought an additional pound of almonds. Which system of equations represents this change to the situation?

  1. A.
    System of equations. First equation, x plus y equals 3. Second equation, 8 x plus 14 y equals 31 point 5.
  2. B.
    System of equations. First equation, x plus y equals 3. Second equation, 8 x plus 14 y equals 39 point 5.
  3. C.
    System of equations. First equation, x plus y equals 4. Second equation, 8 x plus 14 y equals 39 point 5.
  4. D.
    System of equations. First equation, x plus y equals 4. Second equation, 8 x plus 14 y equals 45 point 5.

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