Assignment 1 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use a graphing calculator to approximate all real solutions of the equation. 1) f(x) = x3-3x2-36x + 108 1) A) 36, 3, 108 B) -6, 3, 6 C) -3, 3, 6 D) 3 Solve the problem. 2) 2) Crafty Bill's Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 1993? A) 350 B) 550 C) 500 D) 400 Find the x-intercepts and y-intercepts of the graph of the equation. 3) y = x2-11 3) A) y-intercept (0, -11), x-intercepts ( 11, 0) and (- 11, 0) B) y-intercept (0, -11), x-intercept ( 11, 0) C) y-intercept (0, -11), x-intercepts (0, 11) and (0, - 11) D) y-intercept (0, 11), x-intercepts ( 11, 0) and (- 11, 0) 1
Solve the problem. 4) The height h in feet of a projectile thrown upward from the roof of a building after time t seconds is 4) shown in the graph below. How high will the projectile be after 3.3 s? A) 550 ft B) 500 ft C) 450 ft D) 600 ft Find the x-intercepts and y-intercepts of the graph of the equation. 5) -4x + 2y = 4 5) A) x-intercept: 2; y-intercept: -1 B) x-intercept: -1; y-intercept: 2 C) x-intercept: -2; y-intercept: -4 D) x-intercept: -4; y-intercept: -2 Determine whether the given ordered pair is a solution of the given equation. 6) (x - 6)2 + (y + 6)2 = 9; (1, -2) 6) A) Yes B) No Graph the linear equation. 7) x = -3 7) 2
A) B) C) D) Sketch the graph of the equation. 8) y = - 36 - x2 8) 3
A) B) C) D) 9) y = x + 6 9) 4
A) B) C) D) Graph the linear equation. 10) 12y = 2x - 14 10) 5
A) B) C) D) Find the slope and the y-intercept of the line. 11) 6x - 5y = -5 11) A) m = 0; b = 6 B) m = -6; b = -1 C) m = 6 5 ; b = -5 D) m = 6 5 ; b = 1 12) 3x + 4y = 18 12) A) m = 3 4 ; b = 18 B) m = - 4 3 ; b = 4 C) m = 4 3 ; b = 9 2 D) m = - 3 4 ; b = 9 2 Solve the problem. 13) The cost of manufacturing a molded part is related to the quantity of part produced during a 13) production run. When 100 parts are produced, the cost is $300. When 600 parts are produced, the cost is $3300. A) $7.00 per part B) $5.00 per part C) $0.17 per part D) $6.00 per part Write an equation in slope-intercept form of a line satisfying the given conditions. 14) m = 7 ; b = -2 14) 4 A) y = - 7 4 x - 2 B) y = 7 4 x - 2 C) y = 7 4 x + 2 D) y = - 7 4 x + 2 6
Find the slope and the y-intercept of the line. 15) 6y + 7x = -7 15) A) m = -7; b = -7 B) m = 6; b = 0 C) m = - 7 6 ; b = - 7 6 D) m = 7 6 ; b = 0 Decide whether the pair of lines is parallel, perpendicular, or neither. 16) 3x - 8y = -14 16) 32x + 12y = -15 A) Parallel B) Perpendicular C) Neither Solve the problem. 17) The cost, c, in dollars of car rental is 7 + 1 m, where m is the number of miles driven. Graph the 4 17) equation and use the graph to estimate the cost of car rental if the number of miles driven is 20. A) About 8 dollars B) About 21.75 dollars C) About 12 dollars D) About 17 dollars Write an equation in standard form for a line passing through the pair of points. 18) (-4, 5) and (0, -2) 18) A) 7x - 4y = 8 B) -9x + 2y = -4 C) 9x - 2y = -4 D) -7x - 4y = 8 Find the slope of the line, if it is defined. 19) Through the origin and (3, 8) 19) A) 2 2 3 B) 2 3 2 C) 8 D) Undefined 7
Choose one of the four lines graphed which most closely resembles the graph of the given equation. 20) y = -4x - 5 20) A) B) C) D) Solve the inequality and graph the solution. 21) 9 x - 1 9 21) A) B) C) D) Solve the inequality. 22) The equation y = 0.001x - 0.30 can be used to determine the approximate profit, y in dollars, of 22) producing x items. How many items must be produced so the profit will be at least $1121? A) x < 1,121,300 B) x 1,121,300 C) x 1,120,700 D) 0 < x 1,121,299 8
23) A salesperson has two job offers. Company A offers a weekly salary of $210 plus commission of 6% 23) of sales. Company B offers a weekly salary of $420 plus commission of 3% of sales. What is the amount of sales above which Company A's offer is the better of the two? A) $14,000 B) $3500 C) $7000 D) $7100 24) Behemoth Back Packs, Inc., finds that the cost to make x back packs is C = 129x + 6687, while the 24) revenue produced from them is R = 171x (C and R are in dollars). What is the smallest whole number of back packs, x, that must be sold for the company to show a profit? A) 280,854 B) 23 C) 2,006,100 D) 160 25) Fantastic Flags, Inc., finds that the cost to make x flags is C = 33x + 15,503, while the revenue 25) produced from them is R = 41x (C and R are in dollars). What is the smallest whole number of flags, x, that must be sold for the company to show a profit? A) 210 B) 124,024 C) 1938 D) 1,147,222 Solve the inequality and graph the solution. 26) 5s - 7 > s - 2 26) A) B) C) D) 27) x > 6 27) A) B) C) D) Solve the problem. 28) During the first four months of the year, Jack earned $760, $720, $940 and $1080. If Jack must have 28) an average salary of at least $800 in order to earn retirement benefits, what must Jack earn in the fifth month in order to qualify for benefits? A) at most $800 B) at least $860 C) at most $875 D) at least $500 9
Solve the inequality. 29) In order for a chemical reaction to take place, the Fahrenheit temperature of the reagents must be at 29) least 183.61 F. Find the Celsius temperatures at which the reaction may occur. (F = 9 5 C + 32) A) C 84.23 B) C 362.5 C) C 84.23 D) C < 362.5 30) Company A rents copiers for a monthly charge of $120 plus 8 cents per copy. Company B rents 30) copiers for a monthly charge of $240 plus 4 cents per copy. What is the number of copies above which Company A's charges are the higher of the two? A) 6000 copies B) 3000 copies C) 1500 copies D) 3100 copies 10