Name _________________________________________________________ Date _________ PARCC Practice 1. A 250-gallon above-ground tank is slowly leaking water through a crack in one of its sides. The amount of water (A, in gallons) that leaks out of the tank over a period of t hours can be found using A = 2.5(t). If the tank was filled to the top at 8 AM, how much water would remain in the tank at 6 PM? Assume the rate of leaking remained constant and no additional water was lost through any other means. 2. Simplify the following expression: 9 (x + 6) – x + 4 3. A landscaper measures two sides of the following garden: Find the area of this garden. 4. The triangular sail on a boat has a base of 14 feet and, when fully unraveled, has a vertical height of 30 feet. What is the area of this sail? 334 Big Ideas Math Red Resources by Chapter Copyright © Big Ideas Learning, LLC All rights reserved. 5. A shoebox has a length of 14 inches, a height of 8 inches, and a width of 10 inches. What is the volume of the shoebox (in cubic inches)? 6. Mary arranged 330 flowers for a wedding, but she needed 300 flowers to complete her arrangements. What was her percent error? 7. Simplify the expression. 10x + 14n – 3x + 18n 8. Simplify the following expression: 10 (2 + 3) - 8 · 3 9. If y is proportional to x, and y = 4 when x = 6, what is the constant of proportionality between them (the ratio of y to x)? 10. One third of a quart of paint covers one fourth of a basketball court. How much paint does it take to paint the entire basketball court? 11. Mary uses one third of a gallon of gasoline driving back and forth to work every day. How much gasoline does she use in 30 days? Copyright © Big Ideas Learning, LLC All rights reserved. Big Ideas Math Red Resources by Chapter 335 12. The following graph shows a proportional relationship. What is the constant of proportionality? 13. If the ratio of the length of a rectangle to its width is 3 to 2 what is the length of a rectangle whose width is 4 inches? 14. Which of the following graphs shows a proportional relationship? A C B D 336 Big Ideas Math Red Resources by Chapter Copyright © Big Ideas Learning, LLC All rights reserved. 15. The following table shows two variables in a proportional relationship: Which of the following is an algebraic statement showing the relationship between a and b? A B. a = 3b 16. b = 3a C. b = 1/3 (a) D. a = 1/2 (b) The following table shows two variables in a proportional relationship: If c and d are proportional, then d = kc where k is the constant of proportionality. Which of the following represents k in this case? A k=1 B k=2 C k=3 D k=4 Copyright © Big Ideas Learning, LLC All rights reserved. Big Ideas Math Red Resources by Chapter 337
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