Practice  TAKS OBJECTIVE 1 & 2. 1) Which inequality best describes the graph shown below?


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1 Name: Period Practice  TAKS OBJECTIVE 1 & 2 1) Which inequality best describes the graph shown below? A y 2x B y x 2 C y 2x 2 D y x 2 2) If y is a function of x in the equation y = x 2 9, which statement is true? A The independent variable x is equal to 9 less than the square of the dependent variable y. B The independent variable y is equal to 9 less than the square of the dependent variable x. C The dependent variable y is equal to 9 less than the square of the independent variable x. D The dependent variable x is equal to 9 less than the square of the independent variable y. 3) Ms. Adams bought a refrigerator that cost $1200, including tax. The cost of electricity to run this refrigerator is estimated at $78 per year. Which equation best represents c, the total cost of the refrigerator including electricity over n years of operation? A c = 1200(78n) B c = 1200(n + 78) C c = n D c = n 4) Which equation best represents the area, A, of the rectangle below? A A = 2x + 2(x + c) x + c B A = x 2 + (x + c) 2 C A = x(x + c) D A = 2x(x + c) x 5) Which of the following does not represent a function? A {(3, 9), (1, 1), (1, 1), (3, 9)} B {(4, 2), (1, 2), (0, 2), (5, 2)} C {(6, 5), (4, 0), (1, 3), (1, 3)} D {(2, 4), (2, 3), (0, 5), (1, 7)}
2 6) The graph below represents Cheyenne s bicycle trip from her house to a friend s house. On which segment of the graph does it appear that Cheyenne was riding her bicycle at the slowest pace? A B C D r s t u 7) Which data set is best described by the function y = 2x 2 + 5x? A B C D 8) Vicki works as a salesclerk in a clothing store. She earns $10 per hour plus a commission of 6% of her total sales. Which equation represents e, her total earnings when she works h hours and sells a total of d dollars in merchandise? A e = 10h d B e = 10h + 0.6d C e = 6h + 10d D e = 0.06h + 10d 9) Which equation best describes the relationship between x and y in this table? A y = 1 3 x + 1 C y = 3x 1 B y = 1 3 x 1 D y = 3x ) The volume of a rectangular prism is given by the function V = lwh. Which statement is true? A B C D The volume of the prism depends on the product of only the length and the width. The volume of the prism depends on the product of only the length and the height. The volume of the prism depends on the product of the length, the width, and the height. The volume of the prism depends on the product of only the width and the height.
3 11) A candy company sells chocolatecovered cherries in a box. The empty box weighs 4.2 ounces. Each piece of candy weighs at least 1.8 ounces. Which inequality best describes the total weight in ounces, w, of a box of chocolatecovered cherries in terms of c, the number of candies in the box? A w 1.8c B w 1.8c 4.2 C w 4.2c D w 4.2c ) The graph below best represents which of the following relationships between temperature and time? A B C D Oven temperature while a cake is baking Temperature of water that is heated on a stove, removed, and then allowed to cool Temperature of a container of hot tea after placing several cubes of ice in it Room temperature of a gym after the air conditioner is turned on 13) Simplify the expression 3(x + 1) 2(3x + 7). A 3x 11 B 3x 10 C 3x 8 D 3x ) Given the function f (x) =3x²  7, what is the value of f (3)? A 25 B 34 C 74 D 20 15) The graph shows the path of a golf ball. What is the range of this function? A 0 < y < 100 B 0 y 100 C 0 x 5 D 0 < x < 5
4 16) Jake studied the parabola shown to the right. Which is an accurate conclusion that Jake could make about this parabola? A The vertex is at ( 2, 0). B The minimum value is at (0, 4). C The maximum value is at (2, 0). D The axis of symmetry is the xaxis. 17) Troy borrowed money from his father so that he could buy a used car. The table shows the remaining balance, b, of Troy s loan after each payment. Which function can be used to describe this relationship? A B C D b = p b = p b = p b = p 18) The area of a rectangle is 3x² + 14x + 8 and the width is x + 4. Which expression best describes the rectangle s length? A 3x + 2 B 2x+2 C 2x+4 D 3x2 19) The perimeter of an equilateral triangle is 36 meters or less. Which set describes the domain for l, the length of one side of the triangle? A {0 < l 3} B {0 < l 6} C {0 < l 12} D {0 < l 36} 20) In the equation y = 2x 2 5x 18, which is a value of x when y = 0? A 18 C 2 B D 4 1 2
5 Name Period Practice for Objectives 3, 4, and 5 1) What is the slope of the line described by the equation 8x + 12y = 18? A) 2/3 B) 3/2 C) 2/3 D) 3/2 2) What are the zeros of the function f(x) = 4 (x3) (x+5)? A) 12 and 20 B) 5 and 3 C) 4 and 5 D) 3 and 5 3) If (7, y) is a solution to the equation 2x7y42 = 0, what is the value of y? A) 4 B) 8 C) 3.5 D) ) The cost of renting a car for 1 day at Cars Plus is $20.00 plus 10 cents per mile driven. The cost of renting a car for 1 day at NeedACar is $20.00 plus 15 cents per mile driven. In a graph of the cost of a car rental, what does the cost per mile driven represent? A) The xintercept C) The yintercept B) The slope D) The point of intersection 5) Joan went to a department store to buy a sweater that was on sale for 25% off the original price, p. Which equation can be used to determine s, the sale price of the sweater, not including tax? A) s = p p C) s = p p B) s = p +0.25p D) s = p p 6) The perimeter of a rectangular volleyball court is 180 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? A) l + w = 180 B) 2l + 2w =180 C) l + w = 180 D) 2l + 2w =180 l = 2w l = 2w w = 2l w = 2l
6 7) How does the graph of y= 3x² differ from the graph of y= x²? A) The graph of y= 3x² opens upward and is narrower. B) The graph of y= 3x² opens upward and is wider. C) The graph of y= 3x² opens downward and is narrower. D) The graph of y= 3x² opens downward and is wider. 8) What is the effect on the graph of the equation y= x² when the equation is changed to y = x² + 2.5? A) The graph of y= x² is a reflection of y= x² across the xaxis. B) The graph of y= x² is a translation of the graph y= x² C) The graph of y= x² is a reflection of y= x² across the yaxis. D) The graph of y= x² is a dilation of the graph of y= x² ) What are the solutions to the quadratic equation 2n²= 5n + 7? A) n = 3.5 and n = 1 C) n = 3.5 and n = 1 B) n = 1 and n = 3.5 D) n = 1 and n = ) Look at the table to the right. What is the constant of variation? x y A) 3 B) 36 C) 18 D) 9 11) The state of Texas has a sales tax rate of 6.25% for all taxable items. Cities in Texas can collect up to an additional 2% sales tax on taxable items. If a customer purchased $1080 in merchandise, $225 of which is not taxable, what is a reasonable range for the combine state and city taxes for this purchase? A) $14 to $19 B) $17 to $53 C) $53 to $71 D) $67 to $90
7 12) The amount of chlorine, y, needed for a swimming pool varies directly with the amount of water, x, needed to fill the pool. If 16 units of chlorine are needed for every 1250 gallons of water, which of the following represents the equation of direct variation? A) y = (8/625) x C) y = (16/125) x B) y = (625/8) x D) y = (125/16) x 13) Which expression is equivalent to (5abc 4 ) (3a³c²) (4a²b 4 c³)? A)12a 6 b 5 c 9 B) 12a 6 b 4 c 9 C) 60a 6 b 5 c 9 D) 60a 9 b 9 c 9 14) Which expression is equivalent to (3x²y)²(4xy²)? 6xy³ A) 6x 4 y B) 2x² c) 6x²y D) 2x 4 y 15) The ordered pairs in the table are contained in the graph of a linear function. x y What are the x and yintercepts of the graph of this linear function? A) xintercept: (2,0) C) xintercept: (0,2) yintercept: (0,3) yintercept: (3,0) B) xintercept: (0, 3) D) xintercept: (3, 0) yintercept: (2, 0) yintercept: (0,2)
8 16) Which linear equation represents the line passing through points R and S? A) y = 1.5x 4.5 B) y = 1.5x C) y = 0.5x 4.5 D) y = 0.5x ) At Northwest Electronics audiotapes cost $5.00 per package, and videotapes cost $10.00 per package. Which inequality best describes the number of packages of audiotapes, a, and the number of packages of videotapes, v, that can be purchased for $45.00 or less? A) 5a + 10v < 45 B) 10a + 5v 45 C) 5a + 10v 45 D) 10a + 5v < 45 18) Which graph best represents a solution to this system of equations? 2x 3y = 0 x + 2y = 7 A) B) C) D)
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