ࡱ>  joy wRbjbj  {{wJ666664jjjj4j]B0000i8i8i8H]J]J]J]J]J]J]$^sabn]6*:7i8*:*:n]6600] U U U*: 6060H] U*:H] U Ur[TD\0PB4:*(\4]]0]6\a^> aD\a6D\i8Z8@ U9479i8i8i8n]n]XK i8i8i8]*:*:*:*:ai8i8i8i8i8i8i8i8i8 :  MULTIPLE CHOICE REVIEW WORKSHEET FOR COLLEGE ALGEBRA FINAL EXAM Divide as indicated and simplify:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Subtract as indicated and simplify:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Add as indicated and simplify:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Simplify the complex fraction:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Simplify the complex fraction:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Which one of the following is true? [A] The point (1,  EMBED Equation.3 ) lies in Quadrant II. [B] The graph of an equation is the set of all points whose coordinates satisfy the equation. [C] Every graph has at least one intercept. [D] The graph of  EMBED Equation.3  is a line. Solve the equation for  EMBED Equation.3 :  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C] 1 [D] 7 Solve the equation for  EMBED Equation.3 :  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Solve the equation for x:  EMBED Equation.DSMT4  [A] 0 [B] 3 [C]  EMBED Equation.DSMT4  [D] ( EMBED Equation.3  Solve the equation for x:  EMBED Equation.DSMT4  [A]  EMBED Equation.DSMT4  [B]  EMBED Equation.DSMT4  [C] 1 [D]  EMBED Equation.DSMT4  You inherit $2500 with the stipulation that for the first year the money must be invested into two stocks paying 10% and 6% annual interest, respectively. How much should be invested at the 10% rate if the total interest earned for the year is to be $221.92? [A] $449.50 [B] $702 [C] $1798 [D] $2219.20 After a 7% increase in salary, Laurie makes $1016.50 per month. How much did she earn per month before the increase? [A] $871.29 [B] $ 945.35 [C] $950 [D] $1087.66 Solve the formula for the specified variable:  EMBED Equation.DSMT4  for P. [A]  EMBED Equation.DSMT4  [B]  EMBED Equation.DSMT4  [C]  EMBED Equation.DSMT4  [D]  EMBED Equation.DSMT4  Solve the following equation for  EMBED Equation.3 . If there are two solutions, state their sum. If there is one solution, state that answer.:  EMBED Equation.3  [A] 0 [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Solve the following equation for  EMBED Equation.3 . If there are two solutions, state their sum. If there is one solution, state that answer.:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Solve the following equation for  EMBED Equation.3 . If there are two solutions, state their sum. If there is one solution, state that answer.:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Solve the following equation for  EMBED Equation.3 . If there are two solutions, state their sum. If there is one solution, state that answer.:  EMBED Equation.3  [A] 1 [B] 3 [C] 5 [D] 6 Which one of the following is the sum of the solutions for  EMBED Equation.DSMT4 ? [A]  EMBED Equation.DSMT4  [B] 4 [C] 6 [D] 8 Solve the following equation for  EMBED Equation.3 . If there are two solutions, state their sum. If there is one solution, state that answer.:  EMBED Equation.3  [A]  EMBED Equation.3  [B] 0 [C] 3 [D] 7 Solve the inequality for  EMBED Equation.3 :  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Solve the absolute value inequality for x:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.DSMT4  or  EMBED Equation.DSMT4  Solve the quadratic inequality for x:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  EMBED Equation.3  [D]  EMBED Equation.3  Solve the rational inequality for x:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.DSMT4  or  EMBED Equation.DSMT4  Find the slope of the line containing the pair of points: (5, 2) and ( EMBED Equation.3 , 7) [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Which one of the following is an equation of a line that passes through the point  EMBED Equation.DSMT4  with a slope of 4? [A]  EMBED Equation.3  [B]  EMBED Equation.DSMT4  [C]  EMBED Equation.DSMT4  [D]  EMBED Equation.3  Find the slope of the line described: A line perpendicular to  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Find the exact distance between the two ordered pairs  EMBED Equation.3  and  EMBED Equation.3 . [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Find the midpoint of the line segment joining the ordered pairs  EMBED Equation.3  and  EMBED Equation.3 . [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  The center of the circle with the following equation is:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3   EMBED Equation.3 ) [C] ( EMBED Equation.3  3) [D] (2,  EMBED Equation.3  Which one of the following is the standard form of the equation of the circle whose center is at the point  EMBED Equation.3  and whose radius is 4? [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Which one of the following does not define y as a function of x? [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.DSMT4  If  EMBED Equation.3  then find  EMBED Equation.3 . [A] 19 [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D] 11 If  EMBED Equation.3 , then find  EMBED Equation.3 . [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  If  EMBED Equation.3 , then evaluate  EMBED Equation.DSMT4 . [A]  EMBED Equation.DSMT4  [B]  EMBED Equation.DSMT4  [C] 3 [D] 4 State the domain of the following function:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  State the domain of the following function in interval notation:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Use the graph below to determine the functions range. Tick marks along the axes represent one unit each.  y  [A]  EMBED Equation.DSMT4  [B]  EMBED Equation.DSMT4  [C]  EMBED Equation.DSMT4  [D]  EMBED Equation.3   x If  EMBED Equation.3  for every value of x in the domain of the function  EMBED Equation.3 , then which one of the following is true about  EMBED Equation.3 ? [A]  EMBED Equation.3  is called an odd function and its graph is symmetric about the y-axis. [B]  EMBED Equation.3  is called an even function and its graph is symmetric about the y-axis. [C]  EMBED Equation.3  is called an odd function and its graph is symmetric about the origin. [D]  EMBED Equation.3  is called an even function and its graph is symmetric about the origin. The graph of  EMBED Equation.3  can be obtained by doing which of the following transformations of the graph of  EMBED Equation.3 ? [A] reflect about the x-axis, stretch by a factor of 3, shift up 5 units. [B] shift down 5 units, reflect about the y-axis, stretch by a factor of 3. [C] reflect about the x-axis, stretch by a factor of 3, shift down 5 units. [D] reflect about the x-axis, shrink by a factor of 3, shift down 5 units. If  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4 , then  EMBED Equation.DSMT4  [A]  EMBED Equation.DSMT4  [B]  EMBED Equation.DSMT4  [C]  EMBED Equation.DSMT4  [D] 8 If  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4 , then  EMBED Equation.DSMT4  [A]  EMBED Equation.DSMT4  [B]  EMBED Equation.DSMT4  [C]  EMBED Equation.DSMT4  [D]  EMBED Equation.DSMT4  If  EMBED Equation.3  and  EMBED Equation.3 , then  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  If  EMBED Equation.3  and  EMBED Equation.3 , what is  EMBED Equation.3 ? [A]  EMBED Equation.3  [B] 59 [C] 125 [D] 292 If  EMBED Equation.3 , then  EMBED Equation.DSMT4  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Which one of the following is true about the graph of a one-to-one function of x ? [A] It is symmetric about the y-axis. [B] It is symmetric about the x-axis. [C] It will pass through the ordered pair (1, 1). [D] It will pass the horizontal line test. Find the coordinates of the vertex of the parabola:  EMBED Equation.3  [A] ( EMBED Equation.3 , 5) [B] (3, 5) [C] (3,  EMBED Equation.3 ) [D] ( EMBED Equation.3 ,  EMBED Equation.3 ) Find the coordinates of the vertex of the parabola:  EMBED Equation.3  [A] ( EMBED Equation.3 , 5) [B] ( EMBED Equation.3 ,  EMBED Equation.3 ) [C] (1,  EMBED Equation.3 ) [D] (1, 5) Match the correct equation with the parabola. Tick marks along the axes represent one unit each.  y [A]  EMBED Equation.DSMT4  [B]  EMBED Equation.DSMT4  [C]  EMBED Equation.DSMT4  [D]  EMBED Equation.DSMT4   x Find the x and y intercepts for the given quadratic function:  EMBED Equation.DSMT4  [A]  EMBED Equation.DSMT4  [B]  EMBED Equation.DSMT4  [C]  EMBED Equation.DSMT4  [D]  EMBED Equation.DSMT4  Which one of the following equations is a polynomial function of x? [A]  EMBED Equation.DSMT4  [B]  EMBED Equation.DSMT4  [C]  EMBED Equation.DSMT4  [D]  EMBED Equation.DSMT4  What information can multiplicity provide about the graph of a polynomial? [A] Where the graph crosses the x- and y-axis. [B] Whether the graph will touch and turn at the x-axis or crosses the x-axis at an x-intercept. [C] The domain of the graph of the polynomial. [D] The range of the graph of the polynomial. Which one of the following functions will have a graph whose end behavior indicates that the graph will rise to the left? [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Find the quotient and remainder for the following:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  EMBED Equation.3  [D]  EMBED Equation.3  If the number 3 is a zero of a polynomial function  EMBED Equation.DSMT4 , then which of the following is true? [A]  EMBED Equation.DSMT4  is a factor of  EMBED Equation.DSMT4  [B]  EMBED Equation.DSMT4  is a factor of  EMBED Equation.DSMT4  [C]  EMBED Equation.DSMT4  is a zero of  EMBED Equation.DSMT4  [D]  EMBED Equation.DSMT4  Use the rational zero theorem to find all possible rational zeros for the polynomial function.  EMBED Equation.2  [A]  EMBED Equation.2  [B]  EMBED Equation.2  [C]  EMBED Equation.2  [D]  EMBED Equation.2  Find the remaining zeros of  EMBED Equation.3 , given 5 is a double root. What is the sum of these remaining roots? [A] 2 [B] 4 [C]  EMBED Equation.3  [D]  EMBED Equation.3  Which one of the following equations have the given roots, 3 and  EMBED Equation.3  ? [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Write the following as a product of linear factors given that 1 and  EMBED Equation.DSMT4 are zeros:  EMBED Equation.DSMT4  [A]  EMBED Equation.DSMT4  [B]  EMBED Equation.DSMT4  [C]  EMBED Equation.DSMT4  [D]  EMBED Equation.DSMT4  State the domain of the following function in interval notation:  EMBED Equation.3  [A]  EMBED Equation.3  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Find the horizontal asymptote:  EMBED Equation.2  [A]  EMBED Equation.2  [B]  EMBED Equation.2  [C] EMBED Equation.2  EMBED Equation.DSMT4  [D]  EMBED Equation.2  Find the vertical asymptote(s):  EMBED Equation.2  [A]  EMBED Equation.2  [B]  EMBED Equation.2  [C]  EMBED Equation.2  [D]  EMBED Equation.2  Find the  EMBED Equation.3 intercept:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Find the  EMBED Equation.3 intercept:  EMBED Equation.3  [A] (0, 1) [B] (5, 0) [C] (1, 0) [D] (1, 0) If  EMBED Equation.3  varies inversely as w, and  EMBED Equation.3  when  EMBED Equation.3 , then what is P when  EMBED Equation.3 ? [A] 1 [B] 16 [C]  EMBED Equation.3  [D] 4 Which one of the following is true? [A] If  EMBED Equation.3  varies inversely as x, then for  EMBED Equation.3 , we get  EMBED Equation.3 . [B] The area of a rectangle varies directly as its length and inversely as its width. [C] The number  EMBED Equation.3  can be a constant of variation. [D] If y varies directly as x, then y is not a linear function. If y varies directly as u and varies inversely as the square of v, and  EMBED Equation.3  when  EMBED Equation.3  and  EMBED Equation.3 , then find the constant of variation. [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D] 28 The number of spiders,  EMBED Equation.DSMT4 , remaining within a 10-foot radius of their birthplace t days after birth is given by the formula:  EMBED Equation.DSMT4 . Find the number of spiders present within this radius 10 days after their birth. [A] 0 [B] 5 [C] 50 [D] 800 If $4500 is invested at a rate of 8% compounded quarterly, then how much interest will be earned at the end of 6 years? Hint:  EMBED Equation.3  [A] $353,235.81 [B] $24,035.31 [C] $7237.97 [D] $2737.97 The growth in the population of a biology experiment fits  EMBED Equation.3  where t is the number of years since 1987. Estimate the population in the year 2000. [A] 527 [B] 451 [C] 264 [D] 534 What is the range of  EMBED Equation.DSMT4 ? [A]  EMBED Equation.DSMT4  [B]  EMBED Equation.DSMT4  [C]  EMBED Equation.DSMT4  [D]  EMBED Equation.DSMT4  Write the equation in its equivalent logarithmic form:  EMBED Equation.DSMT4  [A]  EMBED Equation.DSMT4  [B]  EMBED Equation.DSMT4  [C]  EMBED Equation.DSMT4  [D]  EMBED Equation.DSMT4  Evaluate the expression:  EMBED Equation.3  [A]  EMBED Equation.3  [B] 3 [C] 81 [D]  EMBED Equation.3  What is the domain for  EMBED Equation.DSMT4 ? [A]  EMBED Equation.DSMT4  [B]  EMBED Equation.DSMT4  [C]  EMBED Equation.DSMT4  [D]  EMBED Equation.DSMT4  Which one of the following is true? [A]  EMBED Equation.3  for any real number x. [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Write as a single logarithm whose coefficient is 1:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Expand the logarithmic expression:  EMBED Equation.3  [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  If  EMBED Equation.DSMT4 , then x equals [A]  EMBED Equation.3  [B]  EMBED Equation.3  [C]  EMBED Equation.3  [D]  EMBED Equation.3  Solve for x:  EMBED Equation.3  [A] 3 [B] all real numbers [C]  EMBED Equation.3  [D] No solution Solve for x. If there are two solutions, state their sum. If there is one solution, state that answer.  EMBED Equation.3  [A]  EMBED Equation.3  [B] 9 [C]  EMBED Equation.3  [D] 1 If $2500 is invested in the account that pays interest compounded continuously at a rate of 4%, how long will it take to double the investment? Hint:  EMBED Equation.3  [A] 2.8 years [B] 13.0 years [C] 14.2 years [D] 17.3 years The spread of a flu virus through a particular population is modeled by  EMBED Equation.DSMT4  where y is the total number of people infected after t days. In how many days will 530 people be infected with the virus? (Round your answer to the nearest whole number.) [A] 8 days [B] 9 days [C] 10 days [D] 11 days When the system of linear equations is solved, what is the x-value of the solution?  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