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MCAP, Maryland Comprehensive Assessment Program

This page shows questions in the Math 8 Expressions and Equations public release module at MSDE. 8th Grade Math
"Math 8 Expressions and Equations"

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Expand All Official Practice Test

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 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.

Copyright 2023, New Meridian Corporation. Reprinted with permission. All rights reserved. The printing, copying, redistribution, or retransmission of this content without express written permission is prohibited.

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.

Copyright 2023, New Meridian Corporation. Reprinted with permission. All rights reserved. The printing, copying, redistribution, or retransmission of this content without express written permission is prohibited.

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

Copyright 2023, New Meridian Corporation. Reprinted with permission. All rights reserved. The printing, copying, redistribution, or retransmission of this content without express written permission is prohibited.

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.

Copyright 2023, New Meridian Corporation. Reprinted with permission. All rights reserved. The printing, copying, redistribution, or retransmission of this content without express written permission is prohibited.

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

Copyright 2023, New Meridian Corporation. Reprinted with permission. All rights reserved. The printing, copying, redistribution, or retransmission of this content without express written permission is prohibited.

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.

Copyright 2023, New Meridian Corporation. Reprinted with permission. All rights reserved. The printing, copying, redistribution, or retransmission of this content without express written permission is prohibited.