Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A) 2) 5) 1 4 B) 1 1 2 C) $186 B) $2232 C) 1 3 D) 3 1 4 $34,596 D) 16 3 B) 32 3 C) $744 26 3 D) 10 3 4) Convert the percent to a fraction. 39% 39 11 A) B) 1 25 C) 39 100 D) 39 10 A well-known maker of soup sells its product in cylindrical cans that are 4 inches tall 1 and have a radius of 1 inches. Use 3.14 for . What is the volume of the can? 2 cubic inches D) 18.8 cubic inches 6) Simplify. - 19 19 5) B) 31.5 28.3 cubic inches C) 6 cubic inches A) 2) 3) A) 6) 2 Multiply the numbers. 2 4×2 3 A) 4) 2 If oak flooring, including installation, costs $15.50 per square foot, how much would it cost to have it installed in the square room diagrammed below? A) 3) 1) Subtract the mixed numbers. 3 1 3 -1 4 2 B) 1 19 C) 1 - 1 19 D) -19 7) A) 8) 9) 15x3 , -18x2 , 7 B) +, C) -, + D) 15, -18, 7 15, 18, 7 8) Add the numbers. -8.2 + (-5.49) + 1.2 -12.49 A) B) -14.89 C) D) 14.89 -1.69 9) List the terms in the expression. 12x3 - 9x2 + 7 A) 10) 7) List the coefficients in the expression. 15x3 - 18x2 + 7 12x3 , -9x2 , 7 B) +, C) -, + D) 12, -9, 7 12x3 , 9x2 , 7 10) Solve the inequality. Write your answer in interval notation. 12y + 6 > 9 1 , A) (3, ) B) (- , 9) C) 4 D) ,- 1 4 11) Two boys in a boat with a small motor are able to travel 4 mph faster with the current than in still water. If they travel with the current from a dock to their campground in 1.5 hours and make the return trip against the current in 2.5 hours, how fast are the boys able to travel in still water? A) 2 mph B) 6 mph C) 10 mph D) 16 mph 11) 12) Solve the inequality. Write your answer in set-builder notation. 18 - t > 11 A) {t | t > 7} B) {t | t > -7} C) {t | -t > 7} 12) 13) 14) D) 13) Solve the inequality. Write your answer in interval notation. -6 – 6(2x + 1) < x – (-6 – x) 9 9 9 ,A) B) - , C) - , 7 7 7 D) C) B) x-intercept: x-intercept: (26, 0) 26 y-intercept: 0, 9 x-intercept: (– , -6) 14) Find the x- and y-intercepts. y = 9x + 26 A) {t | t < 7} - 26 ,0 9 y-intercept: (0, 26) 26 ,0 9 D) y-intercept: (0, -26) 2 x-intercept: (0, -26) 26 y-intercept: ,0 9 15) Write the equation of the line through (40, 26) that is perpendicular to y = 10. 1 1 A) y = B) x = C) x = 40 D) y = 26 10 10 15) 16) Line A goes through the points (-2, 3) and (-8, 21). Line B goes through the points (6, -1) and (12, 1). Are the two lines parallel, perpendicular, or neither? A) perpendicular B) parallel C) neither 16) 17) A very, very hungry guy goes to a fast food place and orders 2 burgers and 3 tacos, at a total cost of $6.50. Three days later, he's ready to eat again. This time, he buys 5 burgers and 1 tacos, at a total cost of $10.40. Find the cost of one burger, and the price of one taco. A) Burger: $1.90; Taco: $0.90 B) Burger: $1.60; Taco: $1.00 C) Burger: $2.30; Taco: $0.70 D) Burger: $2.00; Taco: $3.00 17) 18) Solve the system using the substitution method. y = 6x + 1 -3y + 18x = -2 A) (0, 1) B) There are infinitely many solutions. C) There is no solution. D) (1, -2) 18) 19) A plane can fly 984 miles with the wind in 3 hours, while it takes the same plane 4 hours to fly the same distance against the wind. Find the speed of the plane in still air, and the speed of the wind. A) Plane: 287 miles per hour B) Plane: 656 miles per hour Wind: 41 miles per hour Wind: 82 miles per hour C) Plane: 246 miles per hour D) Plane: 328 miles per hour Wind: 82 miles per hour Wind: 41 miles per hour 19) 20) Subtract the polynomials. (-4a2 b + 3ab2 + ab) - (2a2 b - 3ab2 - 5ab) 20) A) 2a2b + 6ab2 - 4ab C) -6a4 b2 - 4a2b2 B) -6a2 b D) -6a2 b 3 + 6ab2 + 6ab - 4ab 21) If the perimeter of the figure below can be represented by 2w 2 + 3w + 5, find a polynomial that represents the length of the missing side. A) 22) w2 + w - 10 B) w 2 C) + 5w + 10 2w2 - 10 D) 21) w2 + w Simplify the expression. Write your answer with positive exponents only. x2 22) x-5 A) 23) 1 B) x3 x3 C) -x3 D) x7 23) Factor the binomial completely. 1 c2 4 A) C) c- 1 1 c+ 2 2 The binomial is prime. B) c- 12 2 D) c- 1 1 c+ 4 4 24) Factor completely using the trial-and-error method. 2y2 + 21y + 27 A) (2y + 3)(y + 9) B) (2y - 9)(y - 3) C) (2y + 9)(y + 3) D) (2y + 3)(2y + 9) 24) 25) A piece of manufacturing equipment can produce enough items to fill an order in 10 hours. If an auxiliary piece of equipment is used also, it will take 7 hours. How long would it take the auxiliary equipment to fill the order working alone? Round to one decimal place. A) 3 hours B) 13.2 hours C) 17 hours D) 23.3 hours 25) 4 26) Many media outlets reported that one out of every 24 ballots in Palm Beach County, Florida incorrectly had holes punched for two different presidential candidates in the 2000 election. There were about 465,000 ballots cast. How many ballots had 2 candidates chosen? A) 42,008 B) 19,375 C) 20,217 D) 12,156 26) 27) Write the expression using rational exponents rather than radical notation. Assume the variable represents a positive real number. 27) 5 2 k A) k3 28) 30) C) k5/2 D) k-3 28) Multiply the expressions. 6 12 A) 29) B) k2/5 2 6 B) C) 18 6 2 D) 36 2 29) Find the vertex of the parabola. y = -2x2 + 16x - 3 A) (16, -3) B) (-2, 13) C) (0, -3) D) (4, 29) 30) Solve the equation by using the quadratic formula. 4 1 - = x - 5x2 3 6 A) There are no real-valued solutions. B) - C) 161 1 ± 10 10 D) 1 8 , 2 15 -8, 9 30 31) Find the volume of a sphere with radius 5 cm. Use 3.14 for . Round your answer to one decimal place. A) 392.5 cubic cm B) 523.3 cubic cm C) 125.0 cubic cm D) 78.5 cubic cm 31) 32) Divide the fractions. 11 13 ÷ 2 3 32) A) 24 5 B) 143 3 C) 5 33 26 D) 143 6 33) A) 34) 36) 3 4 3 -4 B) 3 4 C) - 4 3 D) 4 3 Solve the equation using the multiplication or division property of equality. y =5 4 A) 35) 33) Simplify. y=9 B) y = 20 5 4 C) y= C) zero D) y=1 D) undefined 34) 35) A vertical line has _________ slope. A) positive B) negative 36) Graph the inequality. y -11x - 44 A) B) C) D) 6 37) 38) 39) 37) Evaluate the expression. (-8)2 A) 64 B) 16 C) -64 D) -16 38) Which of the triangles below is a right triangle? A) B) C) D) 39) Simplify the expression to lowest terms. x2 + 7x + 10 3x2 + 10x + 8 A) 40) 3x2 + 10x + 4 B) x+5 3x + 4 C) 1 3x + 4 D) - x+5 3x - 4 Simplify. Then add or subtract the expressions, if possible. Assume the variable represents 40) a positive real number. -8 5k + 2 125k A) 41) x2 + 7x + 5 10 k B) 2 C) -6 130k Determine if the relation defines y as a function of x. x y A) B) False True 7 D) 2 5k 41) 42) 43) C) 47 500 D) 47 5 43) Perform the operations. 21 4 5 1 16 15 14 A) 44) 42) Convert the percent to a fraction. 9.4% 47 188 A) B) 50 200 19 40 B) - 19 40 C) - 1 8 D) 1 8 44) Solve the formula for z. 8w + 3z – 2 = w w+2 A) z = B) 3z = -7w - 7 3 - 8w C) z=- 7 2 w+ 3 3 D) z = 9w – 2 45) Find the equation of the line through the point (0, 8) that is perpendicular to the line connecting the points (1, 5) and (-6, 40). Write your answer in slope-intercept form. 1 1 A) y = -5x - 8 B) y = x + 8 C) y = 5x + 8 D) y = - x + 8 5 5 45) 46) Solve the system using the addition method. -11x - 2y = 8 11x + 2y = 121 1 3 ,A) 2 4 46) C) 47) B) (1, D) There is no solution. 8) {(x, y) | 11x + 2y = 121} 47) Square the binomial. (4w - 3t)2 A) 16w2 + 9t2 C) 16w2 + 24wt - 9t2 B) 16w 2 D) 16w 2 8 - 24wt + 9t2 - 9t2 48) 48) Factor out the greatest common factor. 7 + 4y5 A) The expression is prime because it is not factorable. 5 B) 11y 5 7(1 + -3y ) D) y4 (7 + 4y) C) 49) Find an expression that represents the perimeter of the rectangle. (assume that x > 0 and y > 0). 49) 11x y + 12 2x y + 12 13x units A) y + 12 B) 26x2 units y + 12 D) C) 50) 22x2 ( y + 12)2 units 26x units y + 12 50) Use the order of operations, if necessary, to simplify the expression. 29 + 16 6 A) 25 6 B) 11 2 C) 9 15 2 D) 13 6 Answer Key Testname: FINALREVIEW121 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) 25) 26) 27) 28) 29) 30) 31) 32) 33) 34) 35) 36) 37) 38) 39) 40) 41) 42) 43) 44) 45) 46) 47) 48) 49) 50) A B B C A D C A A C D D C B C A A C A B D D A A D B B C D B B C B B D A A A B D B C A C B C B A D B 10