Chapter 4 Test, Form 2A

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1 NME TE PERIO SORE hapter Test, orm Write the letter for the correct answer in the blank at the right of each question.. What is the slope-intercept form of the equation of a line with a slope of 5 and a y-intercept of -? y = y = y = - y = 5 -. Which equation is graphed at the right? y - =0 - y = 5 + y = -5 y + = -5. Which is an equation of the line that passes through (, -5) and (6, )? y = - 6 y = + y = y = - 9. What is an equation of the line through (0, -) with slope 5? -5 + y = 5-5y = y = y = 5 O y.... ssessment 5. Which is an equation of the line with slope - and a y-intercept of 5? y = -( + 5) y - 5 = y = 5 y = 5-5. opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. 6. What is the equation of the line through (-, -) with a slope of 0? = - y = y = y = 0 7. ind the slope-intercept form of the equation of the line that passes through (-5, ) and is parallel to - y = 0. y = y = - y = - + y = +. If line q has a slope of -, what is the slope of any line perpendicular to q? - 9. line of fit might be defined as - a line that connects all the data points. a line that might best estimate the data and be used for predicting values. a vertical line halfway through the data. a line that has a slope greater than. 0. scatter plot of data comparing the number of years since olbrook igh School introduced a math club and the number of students participating contains the ordered pairs (, 9) and (, ). Which is the slope-intercept form of an equation for the line of fit? y = y = + y = y = Use the equation from Question 0 to estimate the number of students who will be in the math club during the 5th year hapter 57 lencoe lgebra

2 NME TE PERIO hapter Test, orm (continued) or Questions, use the scatter plot shown.. Which data are shown by the scatter plot? (995, 5.5), (997, 6.), (00, 7.6) 7 (995, 5.5), (000, 6.), (00, 7.6) 6 (995, 5.5), (000, 6.6), (005,.0) 5 (995, 5.5), (997, 6.6), (005,.0) 0 '95 '00 '05. Which is true about the data? The slope of a best-fit line would be negative. There is a positive correlation. There is no correlation. There is a negative correlation.. ased on the data in the scatter plot, what would you epect the y-value to be for = 00? between 7 and between 5 and 7 higher than impossible to tell 5. To calculate the charge for a load of bricks, including delivery, the Redstone rick o. uses the equation = 0.b + 5, where is the charge and b is the number of bricks. What is the delivery fee per load? $ $5 $67 It depends on the number of bricks or Questions 6 and 7, use the table shown. Shots on oal 5 9 Points Scored ind the slope of the best-fit line Estimate how many points would be scored if 0 shots were taken on the goal using the best-fit line. 9. ind the inverse of {(, -), (, -), (6, 9), (, 5)}. {(, 5), (6, 9), (, -), (, -)} {(-, ), (-, ), (9, 6), (5, )} {(-, ), (-, ), (-6, -9), (-, -5)} {(-, -), (9, 5), (, ), (6, )} 9. If f () = -, find f - (). f - () = - f - () = 0. If f () = (5 - ), find f - (). f - () = 5 + f - () = f - () = f - () = f - () = - - f - () = opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. onus What is the y-intercept of a line through (, 7) and perpendicular to the graph of y = - + 6? : 7 hapter 5 lencoe lgebra

3 NME TE PERIO 5 hapter 5 Test, orm SORE Write the letter for the correct answer in the blank at the right of each question. or Questions 6, solve each inequality { -} { 9} { -9} { -}.. m - > = { m m > 7 } { m m < 7 } { m m < } { m m > }.. t - > {t t < -} {t t < -} {t t > } {t t > -}.. -.5z < {z z > } {z z < } {z z < -} {z z > -}. opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. 5. w - 6 > 6w - 0 {w w < 7} {w w < } {w w < -7} {w w < -} r - (5r + ) - {r r -9} {r r -9} {r r 9} {r r 9} The sum of two consecutive integers is at most. What is the greatest possible value for the greater integer? Which of the following is the graph of the solution set of y < - or y <? Which compound inequality has the solution set shown in the graph? - < n < n - or n < n < - < n Which of the following is the solution set of - < t + 5 0? {t - < t 5} {t t < -} {t t < - and t 5} {t t < - or t 5} 0.. Which of the following is the graph of the solution set of t - t + or t > - t? ssessment Lesson X hapter 5 5 lencoe lgebra

4 NME TE PERIO 5 hapter 5 Test, orm (continued). Which inequality corrresponds to the graph shown? < - - > -. Which of the following is the solution set of - >? { < -0.5 or >.5} { -0.5 < <.5} { < - or > 7} { < 0.5 or >.5}. Pete s grade on a test was within 5 points of his class average of 9. What is his range of grades on the test? g 9 or g 99 g 9 or g 99 9 g 99 g < 99 or g < 9 5. Which ordered pair is part of the solution set of the inequality + y -? (-6, ) (, ) (, -) (, -6) Which inequality is graphed at the right? y < + y < + y > + y > + 7. Taka bought a new coat and new shoes. e spent $. Which inequality represents this situation if represents the cost of a coat and y represents the cost of the shoes he buys? y + y + y - y -. etermine which of the ordered pairs are a part of the solution of y + > +. (, ) (-, 0) (, ) (-, ) 9. Which inequality has a solution set of { > - or < -}? + 7 < + 7 > > + 7 > - 0. Laurie and Maya sold at most $50 worth of get-well and friendship cards. The friendship cards,, were sold for $ each and the get-well cards, y, were sold for $.50 each. Which point represents a reasonable number of cards sold? (0, 0) (5, 0) (, 0) (0, 0) y (0, ) (, ) O opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. onus Solve 6( n - ) - n + 5. {n - n } : hapter 5 5 lencoe lgebra

5 NME TE PERIO 6 hapter 6 Test, orm SORE Write the letter for the correct answer in the blank at the right of each question. Use the graph for Questions. or Questions and, determine how many solutions eist for each system of equations. no solution one solution infinitely many solutions cannot be determined. y = +. + y = - - y = + y = 0 + y = 0 + y = - y = +. The solution to which system of equations has an value of? + y = - - y = y = + + y = 0 y = + + y = - + y = 0 + y = - y O y = - - y =... ssessment. The solution to which system of equations has a y value of 0? + y = - - y = y = + + y = 0 y = + + y = - + y = 0 + y = -. opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. 5. When solving the system of equations, + y = 5 which epression could be substituted 5 + y = for in the second equation? 5 - y If = y + and - 5y = 9, what is the value of y? y 5 7. Use elimination to solve the system + 7y = 6 and - 7y = for Use elimination to solve the system - 5y = 0 and + y = - for Use elimination to solve the system - 7y = 5 and - 5y = 9 for y Use elimination to solve the system + 6y = 0 and + 5y = for The substitution method should be used to solve which system of equations? + y = 6 + 5y = 6 + y = y = y = - y = + y = 7 + y = 5. hapter 6 5 lencoe lgebra

6 NME TE PERIO 6 hapter 6 Test, orm (continued). Use substitution to solve the system + y = and + 5y =. (-, ) (, -) (-5, ) (-, -) or Questions and, solve the system and find values of y.. - 5y = y = y = y = offee afe makes 90 pounds of coffee that costs $6 per pound. The types of coffee used to make this miture cost $7 per pound and $ per pound. ow many pounds of the $7-per-pound coffee should be used in this miture? 0 lb 0 lb 50 lb 60 lb Your teacher is giving a test that has 5 more four-point questions than si-point questions. The test is worth 0 points. Which system represents this information? + 5 = y + y = 5 - y = 5 - y = 5 + 6y = y =0 6 + y = 0 + 6y = 0 7. What system of inequalities is represented in the graph? y < - + y < - + y 5 - y 5 - y > - + y > - + y 5 - y 5 - onus Where on the graph of - 6y = 7 is the -coordinate twice the y-coordinate? y O : (-7, - ) opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. hapter 6 5 lencoe lgebra

7 NME TE PERIO 7 SORE hapter 7 Test, orm Write the letter for the correct answer in the blank at the right of each question.. Simplify ( )... Simplify (-hk) (h k 5 ). h k 0-6h 9 k - 56h 0 k 56h 0 k. ssessment. Simplify 6 b c. ssume the denominator is not equal to zero. 9 b - 5 c 7 b b 7 b b 5 c c c c.. Simplify ( y n 6 ) ( y n - ) 9 y 6. ssume the denominator is not equal to zero. 9 n 9y 6 9n. 5. Which monomial represents the number of square units in the area of a circle with radius units? 6π 6 π 6 6π 9 π 5 5. opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. 6. Epress 6,00,000 in scientific notation Evaluate TTENNE The total attendance for a professional baseball team this 6 6 season was. 0 and two years ago was. 0. bout how many times as large was this season s attendance as attendance two years ago? Write 0 y in radical form. 0y. 0 y 0 0y y 0 0. Evaluate Solve 5 = hapter 7 6 lencoe lgebra

8 NME TE PERIO 7 hapter 7 Test, orm (continued). Which is the equation for the nth term of the geometric sequence -,, -6,...? a n = - n- a n = -. (-) n- a n = -. (-) n- a n = - n.. Which equation represents eponential growth? y = 5(0.) y = 5 y = 0. y = 5 (.06).. Which equation corresponds to the graph shown? y = () + y = ( ) y = ( + ) y = (. ) + y. 5. weightlifter can increase the weight W() that she O can lift according to W() = 5(.05), where represents the number of training cycles completed. ow much will she lift after training cycles? 65 lb lb 7 lb 0 lb IOLOY certain fast-growing bacteria increases 6% per minute. If there are 00 bacteria now, about how many will there be minutes later? POPULTION city s population is about 95,000 and is decreasing at an annual rate of 0.%. Predict the population in 50 years. 577,76 906,00,00, 907,50. ind the third term of the sequence in which a = 7 and a n = - a n - +, if n ind an eplicit formula for a = -, a n = a n - + 9, n. a n = 9n - a n = 9n - a n = n + 9 a n = -n ind a recursive formula for the arithmetic sequence,, 0,,.... a =, a n = a n -, n a =, a n = a n -, n a =, a n = a n - + 0, n a =, a n = a n - +, n opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. onus Simplify : hapter 7 6 lencoe lgebra

9 NME TE PERIO SORE hapter Test, orm Write the letter for the correct answer in the blank at the right of each question.. Write in standard form ind (9t + t - 6) - (t - t + ). t + 6t - 0 t + t - 9t + 6t - 9t + 6t Simplify a (5a - 6) - 5a(a - a + ) - 7(a - 5). 5a + a - 7a + 5 5a - 7a + a - 5 5a - 0a - 7 none of these.. actor y - 66y + 5 y completely. y( - y + 7y) ( + 6y)(6-9y ) 6 y (y - + 9) 6y( - y + 9y) 5. Each side of a square units long is decreased by 9 units. Which epression represents the area of the new square in square units? ssessment opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. 6. Solve (w + )(w - 7) = 0. {-, 7} { 7. actor , - 7} {-, 7 ( - )( - 9) ( - )( + 9) ( + )( + 9) ( + )( - 9). ind (y - )(y + y - ). } { 6y - 5y - 7y - 6y - 5y - 7y + 6y - 7y - 7y + 6y - 5y + 7y + 9. Solve y = y -. }, - 7 {-6, -7} {6, 7} {-6, 7} {6, -7} 0. ind (a + b). 6a + b a + b 6a + a b + b a + a b + b actor ( + )(5 - ) ( + )(5 + ) ( - )(5 - ) ( - )(5 + ). hapter 7 lencoe lgebra

10 NME TE PERIO hapter Test, orm (continued). Solve 7-0 =. {- 7, } { 7, - } {- 7, - } { 7, }.. actor r - 6t. (r + t)(r - t) (r + t)(r + t) (r - t)(r - t) prime.. Solve 6(n - ) = + (n - ) Solve 5 - = (7 + 5) - ( + 6) Which binomial is a factor of ? If the area of a square is multiplied by nine, the area becomes 6 square inches. ind the length of a side of the square. 6 9 in. in. in. in.. SOER ulian kicked a soccer ball into the air with an initial upward velocity of 0 feet per second. The height h in feet of the ball above the ground can be modeled by h = -6t + 0t, where t is the time in seconds after ulian kicked the ball. ind the time it takes the ball to reach 5 feet above the ground. s 5 6 s s s 9. The product of two consecutive odd integers is. ind their sum. -0 or 0 - or -6 or 6 - or 0. The length of a rectangle is twice the width. The area is 7 square centimeters. What is the length? cm cm cm 6 cm opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. onus ind the value of c that will make c a perfect square trinomial. : 5 hapter 7 lencoe lgebra

NME TE PERIO hapter 9 Test, orm SORE Write the letter for the correct answer in the blank at the right of each question.. onsider the equation y = + 5 6.

5) : {all real numbers} : {all real numbers} R: {all real numbers} R: {y y.5} ma.; (0, 0) ma.; (.5,.5) : {all real numbers} :.5 R: {y y 0} R: {all real numbers}.

11 NME TE PERIO hapter 9 Test, orm SORE Write the letter for the correct answer in the blank at the right of each question.. onsider the equation y = etermine whether the function has a maimum or minimum value. State the maimum of minimum value. What are the domain and range of the function? min.; (0, 0) min.; (.5,.5) : {all real numbers} : {all real numbers} R: {all real numbers} R: {y y.5} ma.; (0, 0) ma.; (.5,.5) : {all real numbers} :.5 R: {y y 0} R: {all real numbers}. Which equation corresponds to the graph shown? y = + 7 y = y = y = +... ind the equation of the ais of symmetry and the coordinates of the verte of the graph of y = + 6. = ; (, 60) = ; (, 7) = ; (, ) = ; (, 6). ind the coordinates of the verte of the graph of y =. Identify the verte as a maimum or a minimum. (, 6); minimum (, 6); maimum (, ); maimum (0, ); maimum 5. What are the root(s) of the quadratic equation whose related function is graphed at the right? 0,, 0 6. One root of the quadratic equation whose related function is graphed lies between which two consecutive integers? and and and and 7. ow is the graph of g() = related to the graph of f() =? translated down units translated right units translated up units translated left units. ind the value of c that makes c a perfect square trinomial hapter 9 55 lencoe lgebra

12 NME TE PERIO hapter 9 Test, orm (continued) 9. What value of c makes + + c contain a perfect square trinomial? Which step is not performed in the process of solving n n 0 = 0 by completing the square? dd 0 to each side. actor n n 0 = 0. dd 6 to each side. Take the square root of each side.. Which equation is equivalent to = 0? ( 6) = 50 ( ) = ( ) = 0 ( 6) =. State the value of the discriminant of + = Solve each equation by using the Quadratic ormula. Round to the nearest tenth if necessary.. + = 0., 0., 0.,.,. y + y =., 0.., 0. 0., , etermine the number of real solutions of 7 + = 0. infinitely many none 6. Look for a pattern in the table of values to determine which model best describes the data. linear eponential quadratic none of these 7. Which function best models the data in Question 6? y = 7 y = 7 y = 7 y = 7 +. If f () = +, find f (.5) Which is not true about the graph of f () = +? The range includes all real numbers. It includes the point (, 7). The domain includes all real numbers. The graph is V-shaped. 0. Which point is located on the graph of f () = { 0 y if? + if > (, ) (0, ) (, 0) (, ) onus What is the equation of the ais of symmetry of a parabola if its intercepts are and 5? = hapter 9 56 lencoe lgebra

13 NME TE PERIO 0 hapter 0 Test, orm SORE Write the letter for the correct answer in the blank at the right of each question.. ow does the graph of y = + compare to the parent graph? translated up translated right translated down translated left. ssessment. Which epression has a domain of { }? y = + y = - y = + y = -. or Questions 7, simplify each epression opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc ( + )( 6-7 ) Solve - + = Solve 7a + = a , 7-7, 0. right triangle has one leg that is 7 centimeters. The hypotenuse is 5 centimeters. ind the length of the other leg. 5 cm 67 cm cm 5 7 cm etermine which side measures form a right triangle.,, 5, 9,,, 6 6,, 0.. ind m to the nearest tenth if sin = hapter 0 5 lencoe lgebra

14 NME TE PERIO 0 hapter 0 Test, orm (continued). etermine which set of measures can be the lengths of the sides of a right triangle., 6, 9,,,,,, 7 y.. What is the equation of the graph? y = + - y = - - y = + + y = - + O. 5. Simplify y 5 y y. 0 y y 0 y 0 y y 0 y What is the length of a diagonal of a rectangle with a length of 9 inches and a width of inches?.5 in. 9.5 in. in. 90 in etermine which side measures form a right triangle.,,,,,, 5, 5, 6. LERS 6 foot ladder leans against a wall. The base of the ladder is 6 feet from where the wall meets the ground. ow far up the wall does the ladder reach?. ft.9 ft ft 0 ft or Questions 9 and 0, the leg opposite to in a right triangle measures units, and the hypotenuse measures 9 units. 9. What is sin? What is m? opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. onus ind the length of a diagonal of a square if its area is 7 square meters. : m hapter 0 5 lencoe lgebra

15 NME TE PERIO SORE hapter Test, orm Write the letter for the correct answer in the blank at the right of each question.. Identify the inverse variation that is graphed. y = 0 y = -0 y = -0 y = 0. If y varies inversely as and y = 0. when =., find y when = y O ssessment. State the ecluded value(s) of n - n - n + n -. -, 7 -,, 7 -,. k. Simplify - k + 6. k - 6 k - - k - k + k + k ind a b bc 6 b c 5a. ab c a b 5c a 5c a c 5. opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. 6. ind y + y + y 9(y + ) y - 9y y y + 7. ind n + n - 0 n + 6n + n - n + n. n(n + 5) n + (n + 5)(n - ) (n + ) 9 y - n + 5 n + -9 (y - ) n(n - 5) (n - ). Identify the asymptotes of y = -. =, y = - = 0, y = - = 0, y = = -, y = 0 9. ind ind t - t - + 5t + t -. t + 6t - t + t - t - t - 0t t 0. hapter 6 lencoe lgebra

16 NME TE PERIO hapter Test, orm (continued). ind + ( - ) ( - ) ( - ) ( - ). 6. ind ind 0 a - b - a - b 6b a - b. 0a - 6b a - b b a - b 0a + b a - b. +. Write + as a rational epression Simplify -(r - ) r + r - r r + r r - r. (r - ) r (r + ) r (r + ) Solve = Which value is an etraneous solution of =? miles. ind hour ft 5 s 50 feet mile 67 9 hour 60 minutes minute 60 seconds. 6 ft/s 50 mi/min ft/s 9. RT Vanesa is sculpting statues which require about cubic foot of clay. 9 If she has cubic yards of clay, how many statues can Vanesa make? PYSIS The formula R = T R + R + represents the total resistance R of a circuit. What is R if R T =.5 ohms, R = 0 ohms, and R = 5 ohms? 7.5 ohms.5 ohms 0 ohms 7 ohms opyright lencoe/mcraw-ill, a division of The Mcraw-ill ompanies, Inc. onus ind the value of k so that + is a factor of k. : 6 hapter 6 lencoe lgebra

Advanced Algebra Scope and Sequence First Semester. Second Semester

Last update: April 03 Advanced Algebra Scope and Sequence 03-4 First Semester Unit Name Unit : Review of Basic Concepts and Polynomials Unit : Rational and Radical Epressions Sections in Book 0308 SLOs