Practice Algebra 1 SCP Midterm 01 Multiple Choice Identif the choice that best completes the statement or answers the question. Solve the equation. 1. = m 0 7 7 7 7. 0 7 60. x 6 = 7 8 19 1 1 19 1..1x +. = 7.7 6... The sum of two consecutive integers is. Write an equation that models this situation and find the values of the two integers. ; ; ; ; ; ; ; ; 6. The formula for converting degrees Celsius (C) to degrees Fahrenheit (F) is. Solve the formula for degrees Celsius (C). Then find the temperature in degrees Celsius (C) when the temperature in degrees Fahrenheit (F) is 9. 6 C 1 C C 9 C Solve the equation for the given variable. 7. ; l 8. Over the first five ears of owning her car, Gina drove about 1,000 miles the first ear, 7,87 miles the second ear, 1,600 the third ear, 11,600 the fourth ear, and 1,7 the fifth ear. Find the mean, median, and mode of this dat Explain which measure of central tendenc will best predict how man miles Gina will drive in the sixth ear. mean = 11,70; median = 1,000; mode =,00; the median is the best choice because it is not skewed b the low outlier. mean = 11,70; median = 1,000; no mode; the median is the best choice because it is not skewed b the low outlier. mean = 1,000; median = 11,70; no mode; the mean is the best choice because it is representative of the entire data set. mean = 11,70; median = 1,000; no mode; the mean is the best choice because it is representative of the entire data set.
Write and solve an equation to find the value of the variable. 9. 110, 11, 10, 16, x; mean = 16 10 1 17 11 10. Find the mean and range. 10 17 10 0 10 mean = 18.7; range = mean = 18.7; range = mean = 19.; range = mean = 17.; range = 6 Which number is a solution of the inequalit? 11. 1 7 9 Write an inequalit for the graph. 1. 0 0 6 8 10 x > 8 x < x < 8 1. Tina can tpe at least words per minute. Write and graph an inequalit to model this situation. 0 10 0 0 0 0 60 70 80 90 100 110 0 10 0 0 0 0 60 70 80 90 100 110 0 10 0 0 0 0 60 70 80 90 100 110 0 10 0 0 0 0 60 70 80 90 100 110 Solve the inequalit. Then graph our solution. 1. j > j > j > 8 6 0 8 1 16 6 0 8 1 16 j > j < 6 0 8 1 16 6 0 8 1 16 1. 96 ³ 0 0 00 0 0 0 0 0 0 16 1 6 96 0 0 0 0 00 0 0 0 0 0 0
0 10 1 0 16. 0 6 0 8 1 16 0 0 1 0 1 0 6 0 8 1 16 0 17. 0 6 8 0 6 8 0 6 8 0 6 8 18. < x < 16 > x > 0 0 0 < x < 0 0 10 0 0 0 0 0 < x < 0 10 1 0 0 6 8 0 0 0 10 1 0 19. The French club is sponsoring a bake sale. If their goal is to raise at least $1, how man pastries must the sell at $.0 each in order to meet that goal? Write and solve an inequalit. ; ; ; ; Write a compound inequalit that represents the situation. Graph our solution. 0. all real numbers that are greater than but less than < x < < x < 0 6 8 0 6 8 x x 0 6 8 0 6 8 Write a compound inequalit that the graph could represent. 1. 0 1
. A student scored 8 and 98 on her first two quizzes. Write and solve a compound inequalit to find the possible values for a third quiz score that would give her an average between 8 and 90. Solve the compound inequalit. Graph our solution.. x < or x + 11 > 16 x < or x > 1 x < or x > 0 1 x < or x > 0 0 x < 8 or x > 0 6 8 10 0 6 0 8 1 16 0 0 0 6 8 10 Solve the equation. If there is no solution, write no solution.. n = n = 0 or n = 0 n = or n = no solution. b = 0 b = no solution b = 0 or 0 6. A -oz bottle of water costs $1.60. What is the cost per ounce? $0.0/oz $0.0/oz $0.6/oz $6.0/oz 7. A car is driving at a speed of mi/h. What is the speed of the car in feet per minute?,80 ft/min,6 ft/min 90,00 ft/min,00 ft/min Solve the proportion. 8..7. 0. 9. 18 7 1 17 7 11 7
0. A map has a scale of 1 cm : 1 km. Two cities are 6. cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance? 16.8 km 8. km 76.8 km 88.8 km 1. Find the domain and range of the relation. Age of Person Books Read 7 7 8 7 18 16 domain: {18, 8, } range: {16, 7, 7} domain: {18, 8, } range: {7, 7, 7} domain: {18,, } range: {16, 7, 7} domain: {18,, } range: {7, 7, 7}. Evaluate for x =.. Evaluate for x =. 6 Write a function rule for the table... x f(x) 6 9 1 1 x f(x) 0 1 6. A zucchini plant in Darnell s garden was 11 centimeters tall when it was first plante Since then, it has grown approximatel 0.7 centimeters per da. Write a rule to describe the function. After how man das will the zucchini plant be 0.187 meters tall? ; 7 das ; 1.6 das ; das ; 11 das
7. The amount of a person s pacheck p varies directl with the number of hours worked t. For 1 hours of work, the pacheck is $10.7. Write an equation for the relationship between hours of work and pa. 8. The distance a spring will stretch varies directl with how much weight is attached to the spring. If a spring stretches 6 inches with 8 pounds attached, how far will it stretch with 70 pounds attached? Round to the nearest tenth of an inch. 7. in. 6.1 in..9 in..9 in. Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern. 9. 1, 9, 6,,... subtract from the previous term; 0, add to the previous term; 6, 9 multipl the previous term b ; 0, 7 multipl the previous term b ; 9, 7 Find the common difference of the arithmetic sequence. 0. 9, 8, 7, 6,... 9 67 9 8 1 9 9 Find the first, fourth, and tenth terms of the arithmetic sequence described b the given rule. 1. 0,, 16,, 6 0,, 0 0, 1, 6 The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.. Time (hours) Distance (miles) 188 6 8 8 76 10 70 10; Your car travels for 10 hours. ; Your car travels 7 miles ever 1 hour. ; Your car travels 7 miles ever 1 hour. 188; Your car travels 188 miles. Find the slope of the line that passes through the pair of points.. (, ), (10, )
6 6 6 6 Find the slope and -intercept of the line.. 6x + = 6 ; 1 1 ; 1 1 ; 1 ; 1 Write an equation of a line with the given slope and -intercept.. m =, b = = x + 1 = x = x 1 = x 1 Write the slope-intercept form of the equation for the line. 6. 1 1 x = 1 x 1 = x 1 = 1 x 1 = x 1 Find the x- and -intercept of the line. 7. 8x + = 8 x-intercept is 6; -intercept is 8. x-intercept is 1; -intercept is 8. x-intercept is 8; -intercept is 6. x-intercept is 8; -intercept is 1. 8. Write = x + 6 in standard form using integers. x = 18 x = 18 x + = 6 x + = 18 9. The grocer store sells kumquats for $.7 a pound and Asian pears for $.7 a poun Write an equation in standard form for the weights of kumquats k and Asian pears p that a customer could bu with $16.
.7k =.7p + 16.7k +.7p = 16.7p +.7k = 16.7 +.7 = k Graph the equation. 0. = 1 1 1 x 1 x 1 1 1 x 1 x 1. A line passes through (, 7) and (, 1). Write an equation for the line in point-slope form. Rewrite the equation in standard form using integers. 7 = 8 11 (x + 6); x + 11 = 9 + 7 = 8 (x + 6); x + 11 = 9 11 + 6 = 8 11 (x + 7); x + 11 = 0. The table shows the height of a plant as it grows. Model the data with an equation. Based on our model, predict the height of the plant at 1 months. Time (months) Plant Height (cm) 1 + 7 = 8 (x 6); x + 11 = 9 11
Number of CDs Number of CDs 7 9 1 = (x ); 60 cm The relationship cannot be modele 1 = (x ); 0 cm = (x ); 7 cm Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.. = 7 x 8x 8 = 6 parallel neither perpendicular Write an equation for each translation of.. 11 units down = x 11 11 = x = x + 11 = 1x. 8 units left = x + 8 = x 8 = x + 8 = x 8 6. Tom has a collection of 7 CDs and Nita has a collection of 1 CDs. Tom is adding CDs a month to his collection while Nita is adding CDs a month to her collection. Write and graph a sstem to find the number of months after which the will have the same number of CDs. Let x represent the number of months and the number of CDs. 0 0 0 0 1 10 (, ) 0 0 0 0 1 10 (6, 9) 0 0 1 6 7 8 9 10 x Number of Months months 0 0 1 6 7 8 9 10 x 6 months Number of Months
Number of CDs Number of CDs 0 0 0 0 1 10 (, 1) 0 0 0 0 1 10 (6, 9) 0 0 months 1 6 7 8 9 10 x Number of Months 0 0 1 6 7 8 9 10 x 9 months Number of Months Tell whether the sstem has no solution, one solution, or infinitel man solutions. 7. = x + = x no solutions one solution infinitel man solutions 8. = x + = x infinitel man solutions no solutions one solution 9. = x = x + one solution no solutions infinitel man solutions 60. The length of a rectangle is cm more than four times the width. If the perimeter of the rectangle is cm, what are its dimensions? length = cm; width = cm length = 18 cm; width = 7 cm length = cm; width = cm length = cm; width = 7 cm Solve the sstem of equations using substitution. 61. = x + 9 = x + (,.) (., ) (., ) (., 9) 6. The sum of two numbers is 67. Their difference is 19. Write a sstem of equations that describes this situation. Solve b elimination to find the two numbers. x + = 67 x = 19 8 and 19 x + = 19 x = 67 8 and x = 67 x + = 67
x + = 19 and x = 19 and Solve the sstem using elimination. 6. x 7 = 6 x = 19 (1, ) (, ) (, 1) (, ) Short Answer Solve the equation. 6. ( + 7) = 60 6. x = x + Solve the inequalit. 66. 67. Find a solution to the following sstem of equations. 68. Write an equation of the direct variation that includes the point (, ). Write an equation in point-slope form for the line through the given point with the given slope. 69. (6, 7); m = Write an equation for the line that is parallel to the given line and that passes through the given point. 70. = x + 8; (, ) Write the equation of a line that is perpendicular to the given line and that passes through the given point. 71. x 6 = ; (, ) Graph the equation. 7. = 8 (x ) 7. = x + 7. = x 7.
Practice Algebra 1 SCP Midterm 01 Answer Section MULTIPLE CHOICE 1. D. D. D. C. C 6. B 7. A 8. B 9. A 10. A 11. A 1. D 1. A 1. C 1. A 16. B 17. A 18. D 19. A 0. C 1. A. B. A. B. B 6. A 7. A 8. A 9. D 0. C 1. A. C. B. B. B 6. D 7. D 8. C 9. A 0. A 1. A
. C. A. D. D 6. A 7. A 8. D 9. C 0. A 1. C. A. C. A. A 6. C 7. A 8. A 9. A 60. A 61. B 6. D 6. A SHORT ANSWER 6. 8 6. 66. 67. (, 0) 68. = x 69. + 7 = (x 6) 70. = x + 71. = x + 1
7. 10 8 6 0 6 8 10 x 0 7. 1 1 x 7. 10 8 6 0 6 8 10 x 0
7. x