MATHEMATICS Grade Released Items

Transcription

1 Texas ssessment of Knowledge and Skills MTHEMTIS Grade Released Items

2 Objective 008 Released Items If y is a function of x in the equation y = x + 9, which statement is true? The dependent variable, y, is 9 more than the independent variable, x. The kinetic energy of a car can be described by the function KE = mv, in which the constant m is the mass of the car and v is the car s velocity. If the velocity keeps increasing, the kinetic energy will The independent variable, y, is 9 more than the dependent variable, x. The dependent variable, x, is 9 more than the independent variable, y. remain constant continually increase increase and then become constant decrease to zero The independent variable, x, is 9 more than the dependent variable, y. Kimberly wants to complete at least of her algebra problems by 8 P.M. If she has x algebra problems to complete, which inequality can Kimberly use to determine y, the number of algebra problems she wants to complete by 8 P.M.? y x y < x + y < x y x Page

3 Objective 008 Released Items Which graph below represents the parent function of a quadratic function? y y x x y y x x Page

4 Objective 008 Released Items The perimeter of an equilateral triangle is 6 meters or less. Given the function f(x) = x 7, what is the value of f( )? Which set describes the domain for l, the length of one side of the triangle? {0 < l } {0 < l 6} {0 < l } {0 < l 6} Page

5 Objective 008 Released Items What is the slope of the line described by the equation 8x + y = 8? The cost of renting a car for day at ars Plus is $0 plus 0 cents per mile driven. The cost of renting a car for day at Need--ar is $0 plus 5 cents per mile driven. In a graph of the cost of a car rental, what does the cost per mile driven represent? The x-intercept The y-intercept The slope The point of intersection Page 5

6 Objective 008 Released Items The ordered pairs in the table are contained in the graph of a linear function. y x y x What are the x- and y-intercepts of the graph of this linear function? x-intercept: (, 0) y-intercept: (0, ) x-intercept: (0, ) y-intercept: (, 0) x-intercept: (0, ) y-intercept: (, 0) x-intercept: (, 0) y-intercept: (0, ) Page 6

7 Objective 008 Released Items The amount of chlorine, y, needed for a swimming pool varies directly with the amount of water, x, needed to fill the pool. If 6 units of chlorine are needed for every 50 gallons of water, which of the following represents the equation of direct variation? 8 y = x 65 6 y = x 5 65 y = x 8 5 y = x 6 Page 7

8 Objective 008 Released Items Joan went to a department store to buy a sweater that was on sale for 5% off the original price, p. Which equation can be used to determine s, the sale price of the sweater, not including tax? s = p p s = p + 0.5p s = p 0.75p s = p 0.5p If ( 7, y) is a solution to the equation x 7y = 0, what is the value of y? Page 8

9 Objective 008 Released Items The perimeter of a rectangular volleyball court is 80 feet. The court s width, w, is half its length, l. Which system of linear equations could be used to determine the dimensions, in feet, of the volleyball court? l + w = 80 w = l l + w = 80 w = l l + w = 80 l = w l + w = 80 l = w Page 9

10 Objective Released Items The graphs of f (x) and g(x) are shown on the grid below. For all real numbers m and n, which of the following statements is always true? y f(x) g(x) x (m) = 8m (m )(m ) = m + (m n ) = m 6 n 5 (m )(n ) = (mn) If f(x) = x +, what is the equation for g(x)? g(x) = x + 7 g(x) = x +.5 g(x) = x g(x) = x 7 Which expression is equivalent to ( 5abc )( a c )( a b c )? a 6 b 5 c 9 a 6 b c 60a 6 b 5 c 9 60a 9 b 9 c 9 Page 0

11 Objective Released Items The two figures shown below are similar Which scale factor was used to transform the smaller figure to the larger figure? 7 5 Page

12 Objective Released Items Point L under the translation (x + 5, y ) becomes point L. y P L T x N R Which point on the grid will have the same coordinates as point L? Point N Point P Point T Point R Page

13 Objective Released Items Which point on the graph satisfies the conditions x > and y >? y V S U T x Point S Point T Point U Point V Page

14 Objective Released Items The drawing below shows a -dimensional structure built from identical cubes. Front Right Which of the following does not represent a top, front, or right-side view of this -dimensional structure? Page

15 Objective Released Items The dimensions on the blueprints of Mrs. unn s house are proportional to the house s actual dimensions. The blueprints show the house s rectangular foundation to be 5.5 inches wide by 9 inches long. If the foundation actually measures 6 feet long, what is the width in feet of the actual foundation? The drawing below shows how squares can be joined at their vertices to form a right triangle. Record your answer and fill in the bubbles on your answer document. e sure to use the correct place value. cm What is the area in square centimeters of the largest square? 7 cm 0 cm 0 cm 69 cm 5 cm Page 5

16 Objective Released Items Look at the cylinder shown below. 7 feet 9.5 feet What is the total surface area of this cylinder in terms of π? 7π ft 7π ft π ft 956π ft Page 6

17 Objective Released Items The drawing below shows Jeremy s mailbox and the brace he used to secure it to the post. 7 in. x 8 in. If the length of the brace is approximately 8 inches, which is closest to x, the distance between the bottom of the mailbox and the point on the post where Jeremy secured the brace? 7 in. 5 in. 9 in. in. Page 7

18 Objective Released Items What is the length of YZ if Δ RST is similar to Δ XYZ? Y R 6 S T X Z 5. units 7.5 units 0 units 8 units If the dimensions of a rectangle are tripled, which of the following best describes an effect on the rectangle? The new area will be times as large as the original area. The new area will be 9 times as large as the original area. The new perimeter will be.5 times as large as the original perimeter. The new perimeter will be 9 times as large as the original perimeter. Page 8

19 Objective Released Items On a weekly basis Tara sets aside of her weekly salary for rent, for credit card 5 payments, for groceries and utilities, and the rest, approximately $5, for entertainment. Which of the following is closest to Tara s weekly salary? $75 $00 $79 $58 uring a softball game Kendra threw 85 pitches, of which the umpire called strikes. What percent of Kendra s pitches did the umpire not call strikes? 5% 0% 5% 60% Page 9

20 Objective Released Items The table below shows the highest and lowest points in elevation for 5 of the 7 continents. Highest and Lowest ontinental ltitudes ontinent Highest Point (elevation in feet) sia 9,05 frica 9,0 Europe 8,50 North merica 0,0 South merica,8 Lowest Point (elevation in feet), ased on the information in the table, which of the following statements is true? sia s lowest point is more than times lower than frica s lowest point. North merica s highest point is more than,000 feet higher than South merica s highest point. sia s highest point is more than.5 times as high as Europe s highest point. Europe has the lowest point of all 5 continents. Page 0

21 Objective Released Items group of girls is attempting to break the school record for the longest gum-wrapper chain. The girls chain already measures 8 feet. The school-record chain is 5967 feet. What additional information is needed to determine how many gum wrappers the girls still need in order to break the record? The amount of time it took to complete the current school-record chain The number of gum wrappers each girl has collected The number of gum wrappers needed to complete a foot of the chain The amount of time needed to complete the chain If x > 0 and y < 0, which statement must be x true for the expression? y The result of the expression is undefined. The result of the expression is 0. The result of the expression is negative. The result of the expression is positive. Which of the following is true of all squares and all rectangles? I. ll squares and all rectangles are equilateral. II. ll squares and all rectangles are equiangular. III. ll rectangles are squares. II only III only II and III only I, II, and III Page

22 nswer Key 008 Released Items Item Student orrect Number Expectation nswer OJETIVE. (). (). (E) OJETIVE. (). (). () OJETIVE.6 ().6 ().6 (E).6 (G) OJETIVE.7 ().7 ().8 () OJETIVE 5.9 (). (). () OJETIVE () 8.6 () 8.7 () OJETIVE () 8.7 () 8.7 () OJETIVE () 8.9 () 8.9 () 8.0 () OJETIVE 9 8. () 8. () 8. () OJETIVE 0 8. () 8.6 () 8.6 () Page