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Sample TerraNova Grade 4 Science

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Understand the functions of cell organelles.

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1. 1. Fill in the blank.
The __________ of a cell is like a leader, directing and telling the different parts of the cell what to do.

Assume that is a plant cell

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2. This picture shows an animal cell. Name the part labeled #3.
TNG5SC2

Difference between animal cell and plant cell.

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3. Which of the following plant cell parts gives the plant support and is not part of animal cells?

Understand the meaning of each option.

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4. Which of these is necessary for an ecosystem to be healthy?

The concept of camouflage.

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5. Instructions: Read each question carefully and circle the correct answer.

The snowshoe hare lives in the cold north. During the summer months, the hare has brown fur, but during the snowy winter months, its fur changes to white. How does the ability to change fur color help the snowshoe hare?

What looks like a weapon?

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6. Which picture shows the foot of an animal that hunts other animals for food?
TNG4SC2

What is the term for hiding?

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7. Fill in the blank.
A flounder is a type of fish. The flounder can change its color to match the surroundings. If a shark approaches, the flounder lays still, blending into the sandy ocean bottom.

This is known as __________.

Observe the change in size.

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8. How has this plant changed over time?

TNG3SC1

Look for the clues

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9. Solve this riddle.

I come in many shapes and sizes.
I am the first stage in a life cycle.
A plant will grow from me.

What am I?

Observe the change in size.

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10. Which picture fills in the missing step?

TNG3SC3

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Test Quiz

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1. h( x) =2( x-4)^{2} -32

The quadratic function h is defined as shown. In the xy-plane, the graph of y=h( x) intersects the x-axis at the points ( 0, 0) and ( t, 0), where t is a constant. What is the value of t?

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2. The function f is defined by f( x) =( -8)( 2)^{x} +22. What is the y-intercept of the graph of y=f( x) in the xy-plane?

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3. f( x) =9,000( 0.66)^{x}

The given function f  models the number of advertisements a company sent to its clients each year, where x represents the number of years since 1997, and 0\leq x\leq 5. If y=f( x) is graphed in the xy-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?

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4. The first term of a sequence is 9. Each term after the first is 4 times the preceding term. If w represents the th term of the sequence, which equation gives w in terms of x

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5. Function f is defined by f( x) =-a^{x} +b, where a and b are constants. In the xy-plane, the graph of y=f( x) -12 has a y-intercept at \left( 0, -\cfrac{75}{7}\right). The product of a and b is \cfrac{320}{7}. What is the value of a?

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6. A machine launches a softball from ground level. The softball reaches a maximum height of 51.84 meters above the ground at 1.8 seconds and hits the ground at 3.6 seconds. Which equation represents the height above ground h, in meters, of the softball t seconds after it is launched?

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7. The function f is defined by f( x) =a^{x} +b, where a and b are constants. In the xy-plane, the graph of y=f( x) has an x-intercept at ( 2, 0) and a y-intercept at ( 0, -323). What is the value of b?

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8. f( x) =-500x^{2} +25,000x

The revenue f( x), in dollars, that a company receives from sales of a product is given by the function f above, where x is the unit price, in dollars, of the product. The graph of y=f( x) in the xy-plane intersects the x-axis at 0 and a. What does a represent?

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9. SATMANFH09

A culture of bacteria is growing at an exponential rate, as shown in the table above. At this rate, on which day would the number of bacteria per milliliter reach 5.12x10^{8}?

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10. f( x) =ax^{2} +4x+c

In the given quadratic function, a and c are constants. The graph of y=f( x) in the xy-plane is a parabola that opens upward and has a vertex at the point ( h, k), where h and k are constants. If k < 0 and [latex]f( -9) =f( 3)[/latex], which of the following must be true?

  1. c < 0[/latex]</li> <li>[latex]a \geq 1

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11. f( x) =4x^{2} +64x+262

The function g is defined by g( x) =f( x+5). For what value of x does g( x) reach its minimum?

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12. The function f is defined by f( x) =( x-6)( x-2)( x+6). In the xy-plane, the graph of y=g( x) is the result of translating the graph of y=f( x) up 4 units. What is the value of g( 0)?

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13. A quadratic function models a projectile's height, in meters, above the ground in terms of the time, in seconds, after it was launched. The model estimates that the projectile was launched from an initial height of 7 meters above the ground and reached a maximum height of 51.1 meters above the ground 3 seconds after the launch. How many seconds after the launch does the model estimate that the projectile will return to a height of 7 meters?

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14. y=x^{2} -14x+22

The given equation relates the variables x and y. For what value of x does the value of y reach its minimum?

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15. Function f is defined by f( x) =a^{x} +b, where a, and b are constants. In the xy-plane, the graph of y=f( x) -15 has a y-intercept at \left( 0, -\cfrac{99}{7}\right). The product of a, and b is \cfrac{65}{7}. What is the value of a?

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16. f( x) =( x-14)( x+19)

The function f is defined by the given equation. For what value of x does f( x) reach its minimum?

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17. A model estimates that at the end of each year from 2015 to 2020, the number of squirrels in a population was 150\% more than the number of squirrels in the population at the end of the previous year. The model estimates that at the end of 2016 there were 180 squirrels in the population. Which of the following equations represents this model, where n is the estimated number of squirrels in the population t years after the end of 2015 and t\leq 5?

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18. f( x) =|59-2x|

The function f is defined by the given equation. For what value of the following values of k does f( x) =3k?

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19. The population P of a certain city y years after the last census is modeled by the equation below, where r is a constant and P_{0} is the population when y=0.

P=P_{0}( 1+r)^{y}

If during this time the population of the city decreases by a fixed percent each year, which of the following must be true?

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20. f( x) =5,470( 0.64)^{\frac{x}{12}}

The function f gives the value, in dollars, of a certain piece of equipment after x months of use. If the value of the equipment decreases each year by p\% of its value the preceding year, what is the value of p?

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21. The function f( x) =\cfrac{1}{9}( x-7)^{2} +3 gives a metal ball's height above the ground f( x), in inches, x seconds after it started moving on a track, where 0\leq x\leq 10. Which of the following is the best interpretation of the vertex of the graph of y=f( x) in the xy-plane?

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22. The given function f models the number of coupons a company sent to their customers at the end of each year, where t represents the number of years since the end of 1998, and 0\leq t\leq 5. If y=f( t) is graphed in the ty-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?

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23. In the xy-plane, a parabola has vertex ( 9, -14) and intersects the x-axis at two points. If the equation of the parabola is written in the form y=ax^{2} +bx+c, where a, b, and c are constants, which of the following could be the value of a+b+c?

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24. SATMANFH24

The table above gives selected values of a polynomial function p. Based on the values in the table, which of the following must be a factor of p?

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25. When the quadratic function f is graphed in the xy-plane, where y=f( x), its vertex is ( -3, 6). One of the x-intercepts of this graph is \left( -\cfrac{17}{4} , 0\right). What is the other x-intercept of the graph?

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26. The function f is defined by f( x) =( x+3)( x+1). The graph of f in the xy-plane is a parabola. Which of the following intervals contains the x-coordinate of the vertex of the graph of f?

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27. A landscaper is designing a rectangular garden. The length of the garden is to be 5 feet longer than the width. If the area of the garden will be 104 square feet, what will be the length, in feet, of the garden?

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28. P( t) =290( 1.04)^{\left(\frac{4}{6}\right) t}

The function P models the population, in thousands, of a certain city t years after 2005. According to the model, the population is predicted to increase by n\% every 18  months. What is the value of n?

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29. For the function f, f( 0) =86, and for each increase in x by 1, the value of f( x) decreases by 80\%. What is the value of f( 2)?

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30. The equation above models the number of members, M, of a gym t years after the gym opens. Of the following, which equation models the number of members of the gym q quarter years after the gym opens?

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31. The functions f and g are defined by the given equations, where x\geq 0 . Which of the following equations displays, as a constant or coefficient, the maximum value of the function it defines, where x\geq 0?

  1. f( x) =33( 0.4)^{x+3}
  2. g( x) =33( 0.16)( 0.4)^{x-2}

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32. Square P has a side length of x inches. Square Q has a perimeter that is 176 inches greater than the perimeter of square P. The function f gives the area of square Q, in square inches. Which of the following defines f?

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33. The surface area of a cube is 6\left(\cfrac{a}{4}\right)^{2} , where a is a positive constant. Which of the following gives the perimeter of one face of the cube?

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34. The function h is defined by h( x) =a^{x} +b, where a and b are positive constants. The graph of y=h( x) in the xy-plane passes through the points ( 0, 10) and \left( -2, \cfrac{325}{36}\right). What is the value of ab?

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35. SATMANFH35

The table shows three values of x and their corresponding values of y, where y=h( x) +4 and f is a quadratic function. What is the y-coordinate of the y-intercept of the graph of y=h( x) in the xy-plane?

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36. A quadratic function models the height, in feet, of an object above the ground in terms of the time, in seconds, after the object is launched off an elevated surface. The model indicates the object has an initial height of 10 feet above the ground and reaches its maximum height of 1,034 feet above the ground 8 seconds after being launched. Based on the model, what is the height, in feet, of the object above the ground 10 seconds after being launched?

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37. Function f is defined by  f(x) = (x + 6)(x + 5)(x + 1). Function g is defined by g(x) = f(x - 1). The graph of y = g(x) in the xy-plane has x-intercepts at (a, 0), (b, 0), and (c, 0), where a, b, and c are distinct constants. What is the value of a + b + c?

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38. The total distance d, in meters, traveled by an object moving in a straight line can be modeled by a quadratic function that is defined in terms of t, where t is the time in seconds. At a time of 10.0 seconds, the total distance traveled by the object is 50.0 meters, and at a time of 20.0 seconds, the total distance traveled by the object is 200.0 meters. If the object was at a distance of 0 meters when t = 0, then what is the total distance traveled, in meters, by the object after 30.0 seconds?

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39. f( x) =4x^{2} -50x+126

The given equation defines the function f. For what value of x does f(x) reach its minimum?

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40. h( x) =x^{3} +ax^{2} +bx+c

The function h is defined above, where a, b, and c are integer constants. If the zeros of the function are 6, and 7, what is the value of c?

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41. f( x) =9( 4)^{x}

The function f is defined by the given equation. If g(x) = f(x + 2), which of the following equations defines the function g?

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42. f( x) =( x+7)^{2} +4

The function f is defined by the given equation. For what value of x does f(x) reach its minimum?

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43. Kao measured the temperature of a cup of hot chocolate placed in a room with a constant temperature of 70 degrees Fahrenheit (°F). The temperature of the hot chocolate was 185°F at 6:00 p.m. when it started cooling. The temperature of the hot chocolate was 156°F at 6:05 p.m. and 135°F at 6:10 p.m. The hot chocolate’s temperature continued to decrease. Of the following functions, which best models the temperature T(m), in degrees Fahrenheit, of Kao’s hot chocolate m minutes after it started cooling?

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44. p( t) =90,000( 1.06)^{t}

The given function p models the population of Lowell t years after a census. Which of the following functions best models the population of Lowell m months after the census?

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45. The population of a town is currently 50,000, and the population is estimated to increase each year by 3% from the previous year. Which of the following equations can be used to estimate the number of years, t, it will take for the population of the town to reach 60,000?

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46. For the exponential function f, the value of f(1) is k, where k is a constant. Which of the following equivalent forms of the function f shows the value of k as the coefficient or the base?

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47. h( x) =-16x^{2} +100x+10

The quadratic function above models the height above the ground h, in feet, of a projectile x seconds after it had been launched vertically. If y = h(x) is graphed in the xy-plane, which of the following represents the real-life meaning of the positive x-intercept of the graph?

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48. SATMANFH48

For the exponential function f, the table above shows several values of x and their corresponding values of f(x), where a is a constant greater than 1. If k is a constant and f( k) =a^{29}, what is the value of k?

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49. SATMANFH49

The rational function f is defined by an equation in the form f( x) =\cfrac{a}{x+b}, where a and b are constants. The partial graph of y = f(x) is shown. If g(x) = f(x + 4), which equation could define function g?

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50. f( x) =( x-10)( x+13)

The function f is defined by the given equation. For what value of x does f(x) reach its minimum?

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51. For the function q, the value of q(x) decreases by 45% for every increase in the value of x by 1. If q(0) = 14, which equation defines q?

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52. Two variables, x and y, are related such that for each increase of 1 in the value of x, the value of y increases by a factor of 4. When x = 0, y = 200. Which equation represents this relationship?

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53. What is the minimum value of the function f defined by f( x) =( x-2)^{2} -4?

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54. Let the function p be defined as p( x) =\cfrac{( x-c)^{2} +160}{2c}, where c is a constant. If p(c) = 10, what is the value of p(12)?

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