ASSIGNMENT Practice Test 3 S2M1 PDF

Module 1 Math 27 QUESTIONS DIRECTIONS The questions in this section address a number of...

Module 1 Math 27 QUESTIONS DIRECTIONS The questions in this section address a number of important math skills. Use of a calculator is permitted for all questions. NOTES Unless otherwise indicated: All variables and expressions represent real numbers. Figures provided are drawn to scale. All figures lie in a plane. The domain of a given function f is the set of all real numbers x for which f(x) is a real number. REFERENCE A =nr 2 C=2nr A= l w ½ A = bh c2 = a2 + b2 Special Right Triangles V= l wh V= nr 2 h π V =4/3 r3 ⅓ V= nr 2 h ⅓ V = l wh The number of degrees of arc in a circle is 360. The number of radians of arc in a circle is 2n. The sum of the measures in degrees of the angles of a triangle is 180. Unauthorized copying or reuse of any part of this page is illegal. 30 CO N T I N U E  For multiple-choice questions, solve each problem, choose the correct answer from the choices provided, and then circle your answer in this book. Circle only one answer for each question. If you change your mind, completely erase the circle. You will not get credit for questions with more than one answer circled, or for questions with no answers circled. For student-produced response questions, solve each problem and write your answer next to or under the question in the test book as described below. Once you've written your answer, circle it clearly. You will not receive credit for anything written outside the circle, or for any questions with more than one circled answer. If you find more than one correct answer, write and circle only one answer. Your answer can be up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer, but no more. If your answer is a fraction that is too long (over 5 characters for positive, 6 characters for negative), write the decimal equivalent. If your answer is a decimal that is too long (over 5 characters for positive, 6 characters for negative), truncate it or round at the fourth digit. If your answer is a mixed number (such as 3 ), write it as an improper ½ fraction (7/2) or its decimal equivalent (3.5). 2 Don't include symbols such as a percent sign, comma, or dollar sign in your circled answer. Unauthorized copying or reuse of any part of this page is illegal. 31 CO N T I N U E............................................................................................................................................................................................................................................................................................................... 1 4 k + 12 = 336 What is the solution to the given equation? A) 28 B) 324 C) 348 D) 4,032 Note: Figure not drawn to scale. 2 In the figure shown, line m is parallel to line n. What 3 The function f is defined by f (x) = x + 15. What is is the value of x ? the value of f (2) ? A) 13 A) 20 B) 26 B) 21 C) 52 C) 23 D) 154 D) 24 5 3 John paid a total of $165 for a microscope by making Sean rents a tent at a cost of $11 per day plus a a down payment of $37 plus p monthly payments of onetime insurance fee of $10. Which equation $16 each. Which of the following equations represents the total cost c, in dollars, to rent the tent represents this situation? with insurance for d days? A) 16p − 37 = 165 A) c = 11(d + 10) B) 37p − 16 = 165 B) c = 10(d + 11) C) 16p + 37 = 165 C) c = 11d + 10 D) 37p + 16 = 165 D) c = 10d + 11 Unauthorized copying or reuse of any part of this page is illegal. 32 CO N T I N U E............................................................................................................................................................................................................................................................................................................... 6 8 If y = 5x + 10, what is the value of y when x = 8 ? The table gives the distribution of votes for a new school mascot and grade level for 80 students. Grade level Mascot Sixth Seventh Eighth Total Badger 4 9 9 22 Lion 9 2 9 20 Longhorn 4 6 4 14 7 Tiger 6 9 9 24 Total 23 26 31 80 If one of these students is selected at random, what is the probability of selecting a student whose vote for new mascot was for a lion? 1 A) 9 1 B) 5 1 C) The bar graph shows the distribution of 419 cans 4 collected by 10 different groups for a food drive. How many cans were collected by group 6? 2 D) 3 Unauthorized copying or reuse of any part of this page is illegal. 33 CO N T I N U E............................................................................................................................................................................................................................................................................................................... 9 11 What is the equation of the line that passes through the point (0, 5) and is parallel to the graph of y = 7x + 4 in the xy-plane? A) y = 5x B) y = 7x + 5 C) y = 7x D) y = 5x + 7 The graph represents the total charge, in dollars, by 12 an electrician for x hours of work. The electrician charges a onetime fee plus an hourly rate. What is the In the linear function h, h(0) = 41 and h(1) = 40. best interpretation of the slope of the graph? Which equation defines h ? A) The electrician’s hourly rate A) h(x) = −x + 41 B) The electrician’s onetime fee B) h(x) = −x C) The maximum amount that the electrician charges C) h(x) = −41x D) The total amount that the electrician charges D) h(x) = −41 10 Square X has a side length of 12 centimeters. The perimeter of square Y is 2 times the perimeter of square X. What is the length, in centimeters, of one side of square Y? A) 6 B) 10 C) 14 D) 24 Unauthorized copying or reuse of any part of this page is illegal. 34 CO N T I N U E............................................................................................................................................................................................................................................................................................................... 13 16 t 14j + 5k = m The function f (t) = 60,000(2) 410 gives the number The given equation relates the numbers j, k, and m. Which equation correctly expresses k in terms of j of bacteria in a population t minutes after an initial and m ? observation. How much time, in minutes, does it m − 14j A) k = 5 take for the number of bacteria in the population to 1 B) k = m − 14j double? 5 14j − m C) k = 5 D) k = 5m − 14j 14 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 17 of g(0) ? Triangle FGH is similar to triangle JKL , where angle F corresponds to angle J and angles G and K 308 are right angles. If sin (F) = , what is the value of 317 sin (J ) ? 15 A candle is made of 17 ounces of wax. When the 75 A) candle is burning, the amount of wax in the candle 317 decreases by 1 ounce every 4 hours. If 6 ounces of 308 wax remain in this candle, for how many hours has it B) been burning? 317 A) 3 317 C) 308 B) 6 C) 24 317 D) D) 44 75 Unauthorized copying or reuse of any part of this page is illegal. 35 CO N T I N U E............................................................................................................................................................................................................................................................................................................... 18 21 The product of two positive integers is 546. If the The regular price of a shirt at a store is $11.70. The first integer is 11 greater than twice the second sale price of the shirt is 80% less than the regular integer, what is the smaller of the two integers? price, and the sale price is 30% greater than the A) 7 store’s cost for the shirt. What was the store’s cost, in B) 14 dollars, for the shirt? C) 39 D) 78 22 A sample of oak has a density of 807 kilograms per 19 cubic meter. The sample is in the shape of a cube, where each edge has a length of 0.90 meters. To the y ≤x+7 nearest whole number, what is the mass, in y ≥ −2x − 1 kilograms, of this sample? Which point (x, y) is a solution to the given system A) 588 of inequalities in the xy-plane? B) 726 A) (−14, 0) C) 897 B) (0, −14) D) 1,107 C) (0, 14) D) (14, 0) 23 For x > 0, the function f is defined as follows: 20 f (x) equals 201% of x (x − 2)2 = 3x + 34 Which of the following could describe this function? What is the smallest solution to the given equation? A) Decreasing exponential B) Decreasing linear C) Increasing exponential D) Increasing linear Unauthorized copying or reuse of any part of this page is illegal. 36 CO N T I N U E............................................................................................................................................................................................................................................................................................................... 24 25 Which expression is equivalent y + 12 y(x − 8) to + 2 ? x−8 x y − 8xy xy + y + 4 A) x y − 16x 2y + 64xy 3 xy + 9y + 12 B) 2 x y − 8xy + x − 8 xy 2 + 13xy − 8y C) x 2y − 8xy The rational function f is defined by an equation in xy 2 + 13xy − 8y a D) the form f (x) = , where a and b are constants. x 3y − 16x 2y + 64xy x+b The partial graph of y = f (x ) is shown. If g(x) = f (x + 4), which equation could define function g ? 6 A) g(x) = x 6 B) g(x) = x+4 6 C) g(x) = x+8 6(x + 4) D) g(x) = x+4 Unauthorized copying or reuse of any part of this page is illegal. 37 CO N T I N U E.................................................................................................................................................................................................................................................... 26 27 Poll Results 199 The graph of x 2 + x + y 2 + y = in the xy-plane Angel Cruz 483 2 Terry Smith 320 is a circle. What is the length of the circle’s radius? The table shows the results of a poll. A total of 803 voters selected at random were asked which candidate they would vote for in the upcoming election. According to the poll, if 6,424 people vote in the election, by how many votes would Angel Cruz be expected to win? A) 163 B) 1,304 C) 3,864 D) 5,621 STOP If you finish before time is called, you may check your work on this module only. Do not turn to any other module in the test. Unauthorized copying or reuse of any part of this page is illegal. 38