algebra 2 end of year review multiple choice questions

Anonymous
timer Asked: Aug 5th, 2017

Question Description

correctly and completely answer all multiple choice questions in attached document. Double check all work for accuracy. Need to get 100%

21) Devon decided to rewrite the quadratic equation so that it could be simplified into a square in order to find the zeros. Which process correctly shows Devon rewriting x2 + 10x + 13 into a square? A) (x2 + 10x + 25) + 13 (x + 5)2 +13 B) (x2 + 10x + 25) + 13 - 25 (x + 5)2 -12 C) (x2 + 10x + 100) + 13 - 100 (x + 10)2 -87 x= D) 22) 10 ± 102 - 4(1)(13) 2 Consider the sequence of steps to solve the equation: x-3 3 =x+3 Step 1 ⇒ x 3 = 3(x + 3) Step 2 ⇒ x 3 = 3x + 9 Step 3 ⇒ x = 3x + 12 Step 4 ⇒ -2x = 12 Step 5 ⇒ x = -6 Identify the property of equality which yields Step 5. 23) A) Division Property B) Addition Property C) Subtraction Property D) Multiplication Property E-Z View cable company charges a flat rate of $40 per month for service and $4.95 for each pay per view movie. View the Best charges a flat rate of $25 per month and $5.95 for each pay per view. Using the given equations, how many pay per views will generate equal monthly bills from the two companies? f(x) = $4.95x + $40 g(x) = $5.95x + $25 A) 10 B) 12 C) 15 D) 18 24) D(b) is a function that models the population of deer based on the number of bobcats in an area. What is an appropriate domain for this function? A) D = {all integers} B) D = (all real numbers} C) D = {rational numbers} D) 25) D = {all whole numbers} Write the explicit formula for the geometric sequence represented by the recursive formula. a1 = 4 an = 5 · an-1 26) A) an = 4 · 5n B) an = 5 · 4n C) an = 4 · 5n-1 D) an = 5 · 4n-1 A box has a rectangular base with a length of 3x + 2 and width of 2x - 2, and the base has a perimeter of 60 centimeters. If the height of the box is x, what is the volume of the box? A) 600 cm3 B) 748 cm3 C) 840 cm3 D) 1,200 cm3 27) Solve for x: ax2 - 2ax + (a + 1) =0 1+ i A) a a ,1i a a 1+ i B) 2a a ,1i 2a a 1+ C) i a 2a ,1i a 2a −1 + i D) a a , −1 i a a 28) Complete the square to transform the quadratic equation into the equation form (x – p)2 = q. x2 + 14x + 34 =5 29) A) (x - 7)2 = 20 B) (x + 7)2 = 20 C) (x - 14)2 = 28 D) (x + 14)2 = 28 Kyle is using the general form of a quadratic equation to derive the quadratic formula. He reaches the step in his proof that states x2 + b a x=c a . Which term must he add to complete the square? ( A) 2b a )2 ( B) b 2a )2 ( C) b a )2 - D) 30) b 2a Consider 64a2 - 96a + 36 . How can the expression be rewritten so that it can be simplified? A) B) C) D) (8a - 6)2 − (8a - 6)2 2 32a2 - 48a + 18 −8a (8a + 6)2 31) x f(x) −4 −15 −2 −3 0 1 2 −3 4 −15 5 −24 Compare the quadratic function represented by the table to the function represented by the graph to determine which statement is true. A) The tabled function has a lower minimum value. B) The tabled function has a greater maximum value. C) The graphed function has a lower minimum value. D) The graphed function has a greater maximum value. 32) Using intercepts and the maximum, find an equation for the graph shown. 33) A) f(x) = 3x2 + 6x - 9 B) f(x) = 3x2 + 6x + 9 C) f(x) = -3x2 + 6x - 9 D) f(x) = -3x2 + 6x + 9 Zack is preparing for a marathon and currently weighs 162 pounds. His total body weight can be expressed as 3x3 + 9x2, and his body fat weight can be expressed as 3 2 x2. Write a function which represent Zack's body fat percentage. A) f(x) = 3x +6 B) f(x) = 2x +6 f(x) = C) 3 2x + 6 f(x) = D) 34) 1 2x + 6 Identify if the functions are even or odd functions. f(x) = x3 + 2x and g(x) = 2x2 - 3 A) odd, odd B) even, odd C) odd, even D) even, even 35) 36) Dustin's starting salary is $40,000. His salary is expected to increase by 4% each year. To the nearest dollar, what is Dustin's expected salary after 5 years? A) $42,988 B) $43,455 C) $48,666 D) $51,033 Boys Girls Zoo 15 8 Museum 10 12 Mr. White collected data from his eighth grade class on whether they prefer the zoo or the museum. Based on the data collected, if the eighth grade has 90 girls and 78 boys, which statement is true? 37) A) 31 boys will choose the zoo B) 36 girls will choose the zoo C) 40 girls will choose the zoo D) 47 boys will choose the museum Parabola A is given by the the equation -4(x - 3) = (y - 1)2 Write an equation of a new parabola with a vertex at parabola A's focus and a focus at parabola A's vertex. A) -4(x - 2) = (y - 1)2 B) -4(x - 4) = (y - 1)2 C) 4(x - 2) = (y - 1)2 D) 4(x - 3) = (y - 1)2 38) Amanda's first four test scores are 77, 95, 84, and 69. What does Amanda need to score on the next test to have at least an 82 average? A) 85 or greater B) 90 or greater C) greater than 85 D) greater than 92 39) Which statement about the graph is FALSE? 40) A) The graph has one local extrema B) The graph has no local maximum. C) The graph has two local extrema. D) The graph has one local minimum. Four students determined the vertical asymptote for this rational function. Which student is correct in their approach and final answer? P(x) = 4x + 1 x-2 A) Ava set the denominator equal to 0 and solved for x. The vertical asymptote is x = 2. B) Kaley solved for x in the denominator. She determined that the vertical asymptote is x = -2. C) Jon set the numerator equal to zero. He determined that the vertical asymptote is y = 1 4 . D) Kyle determined the ratio of the leading coefficients of the numerator and denominator. The vertical asymptote is x = 4. 41) Evaluate the logarithm 1 3 e3t = 1 2 Round your answer to the nearest thousandth. 42) A) 0.135 B) 0.587 C) 0.822 D) 1.893 A bag contains 11 blocks numbered from 1 to 11. Two blocks are selected from the bag at the same time. Let event E = the two numbers are NOT even. How many outcomes are in the complement of E? A) 10 B) 20 C) 70 D) 90 43) x2 + 5x +6 (x + 1) can be rewritten as (x + 4) + 2 x+1 . (x + 4) is called the _____ . A) divisor B) quotient C) remainder D) zero 44) Find the system of inequalities which represents the shaded region on the coordinate plane. A) y > 2x2 + x and y > 1 + x B) y > 2x2 + x and y > 1 - x C) y > 2x2 - x and y > 1 + x D) y > 2x2 - x and y > 1 - x 45) 46) In a high school of 1250 students, 250 are freshmen and 150 students take Spanish. If being a freshman and taking Spanish are independent, what is the probability that a randomly selected Spanish student is a freshman? A) 0.024 B) 0.120 C) 0.150 D) 0.200 Trevor is holding 5 red balloons and 4 blue balloons. He randomly selects a balloon to give his sister, and then he randomly selects a balloon to give his brother. Are two events dependent or independent? Explain. 47) A) Dependent. The two siblings will want the same color balloon. B) Independent. Girls always want red and boys always want blue. C) Independent. There are a set number of red balloons and blue balloons. D) Dependent. When the first balloon is taken, it affects the ratio of red to blue balloons. Between x = 2 and x = 3, which function has the smallest average rate of change? A) y = 6x - 1 B) y = 7x - 2 C) y = 4x + 1 D) y = 4x - 1 48) 49) Miracle Maid Service charges a $30 house visit fee plus $5 per room to clean a house. What is the independent variable? A) The price per room B) The number of rooms C) The house visit fee D) The Miracle Maid Service Evaluate: 343 1 3 A) 7 B) 9 C) 11 D) 13 50) Evaluate: 1000 A) 10 B) 20 C) 25 D) 50

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