8th Grade Math – Post-test Assessment 3

1. Question

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2. Question

Use the information provided to answer Part A and Part B for question 2.

Filipo is building a rectangular sandbox for his younger brother. The length of the sandbox is 1 foot longer than twice the width of the sandbox. The perimeter of the sandbox is 29 feet.

Part A

Which equation could be used to determine w, the width, in feet, of the sandbox?

A. w + w + 2 = 29

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B. w + 2w + 1= 29

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C. 2w + 2(w + 2) = 29

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D. 2w + 2(2w + 1) = 29

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3. Question

Part B

What is the width, in feet, of the sandbox?

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4. Question

The table shows the results of a random survey of students in grade 7 and grade 8. Every student surveyed gave a response. Each student was asked if he or she exercised less than 5 hours last week or 5 or more hours last week.

Based on the results of the survey, which statements are true? Select each correct statement.

A. More grade 8 students were surveyed than grade 7 students.

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B. A total of 221 students were surveyed.

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C. Less than 50 % of the grade 8 students surveyed exercised 5 or more hours last week.

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D. More than 50% of the students surveyed exercised less than 5 hours last week.

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E. A total of 107 grade 7 students were surveyed.

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5. Question

Use the information provided to answer Part A through Part D for question 4.

A chemist has two acid solutions. Solution A contains 10% acid, and solution B contains 30% acid. He will mix the two solutions to make 10 liters of a third solution, solution C, containing 25% acid.

The system of equations shown can be used to represent this situation.

Part A

Which statement about the system of equations is true?

A. In the system of equations, x represents the number of liters of acid in solution A, and y represents the number of liters of acid in solution B.

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B. In the system of equations, x represents the number of liters of acid in solution B, and y represents the number of liters of acid in solution A.

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C. In the system of equations, x represents the number of liters of solution A in solution C, and y represents the number of liters of solution B in solution C.

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D. In the system of equations, x represents the number of liters of solution B in solution C, and y represents the number of liters of solution A in solution C.

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6. Question

Part B

What does the expression 0.30y represent?

A. the number of liters of acid in solution C that come from solution A

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B. the number of liters of acid in solution C that come from solution B

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C. the number of liters of solution A in solution C

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D. the number of liters of solution B in solution C

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7. Question

Part C

If the system of equations is graphed in a coordinate plane, what is the x-coordinate of the intersection of the two lines?

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8. Question

Part D

What is the number of liters of solution B the chemist mixes with solution A to create solution C containing 25% acid?

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9. Question

Function A and Function B are linear Function A is represented by the table of values. Function B is represented by the equation.

Which statements about the properties of Function A and Function B are true? Select each correct statement.

A. The y-intercept of Function A is equal to the y-intercept of Function B.

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B. The y-intercept of Function A is less than the y-intercept of Function B.

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C. The y-intercept of Function A is greater than the y-intercept of Function B.

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D. The rate of change of Function A is equal to the rate of change of Function B.

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E. The rate of change of Function A is less than the rate of change of Function B.

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F. The rate of change of Function A is greater than the rate of change of Function B.

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10. Question

Which statements are true? Select all that apply.

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B.

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C.

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F.

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11. Question

Use the information provided to answer Part A through Part D for question 7.

Line t is shown in the coordinate plane.

Part A

What is the slope of line t?

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12. Question

Part B

What is the y-intercept of line t?

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13. Question

Part C

Line s (not shown) has the same slope and passes through the point (0, 4). Which table represents 4 points on line s?

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14. Question

Part D

Which equation could represent line s?

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15. Question

Relationship A is defined by the equation y = 9x.

Some values of relationship B are shown in the table.

Both relationships represent a direct proportion between x and y.

The rate of change of relationship B is how many units greater than the rate of change of relationship A?

A. 1.5

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B. 2.5

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C. 25.5

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D. 43.5

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16. Question

Use the information provided to answer Part A and Part B for question 9.

Eric planted a seedling in his garden and recorded its height each week. The equation shown can be used to estimate the height, h, in inches, of the seedling by the end of each week, w, after it was planted.

A. the height, in inches, of the seedling after w weeks

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B. the height, in inches, of the seedling when Eric first planted it

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C. the increase in the height, in inches, of the seedling each week

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D. the total increase in the height, in inches, of the seedling after w weeks

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17. Question

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18. Question

A. The slope of Function A is greater than the slope of Function B, and the y-intercept of Function A is greater than the y-intercept of Function B.

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B. The slope of Function A is less than the slope of Function B, and the y-intercept of Function A is greater than the y-intercept of Function B.

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C. The slope of Function A is greater than the slope of Function B, and the y-intercept of Function A is less than the y-intercept of Function B.

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D. The slope of Function A is less than the slope of Function B, and the y-intercept of Function A is less than the y-intercept of Function B.

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19. Question

Use the information provided to answer Part A and Part B for question 11.

The figure shows a right-circular cylinder and a right-circular cone. The cylinder and the cone have the same base and the same height.

Part A

What is the volume of the cone, in cubic feet?

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20. Question

Part B

What is the ratio of the cone’s volume to the cylinder’s volume?

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21. Question

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22. Question

The erosion rate along a section of the coast is approximately 3 feet per year. Which of these best approximates this rate of erosion?

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