4 and m 3m. 2 b 2ab is equivalent to... (3 x + 2 xy + 7) - (6x - 4 xy + 3) is equivalent to...

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1 NAME: SCORE: Find the answer choice that best answers the question. Write your answer choice in the blank provided beside each question. You must show all work necessary to solve the problem to receive full credit! (1) What is the product of 3x y and (5 xy + xy)? x y 3x y (B) 15x y 3x y 15x y 3 3x y (D) 15x 3 y 3 + xy 3 () The expression (50x 60x + 10x) 10x is equivalent to... 5x 6x + 1 (B) 5x 60x + 10x 3 5 x 6x + x (D) 5x 6x (3) What is the sum of m + 3m 4 and m 3m? m 6 (B) 3m + 6m 6 3m 6 (D) m + 6m (4) The expression -3x - xy + 4 (B) 3x - xy + 4 (D) (3 x + xy + 7) - (6x - 4 xy + 3) is equivalent to x + 6 xy + 4 3x - 6 xy - 4 (5) If one factor of 3 4x - 3y 4x - 3y x y - 4x y is14x y, what is the other factor? (B) (D) 3 4x y - 3xy 4x y - 3xy (6) The greatest common factor of 4a b and 6ab 3 is... ab (B) 1ab ab (D) 4a 3 b 4 (7) Which expression is a factor of n + 3n 54? n + 6 (B) n 9 n + 9 (D) n + 9 (8) Factored completely, the expression x + 10x 1 is equivalent to... (x - 6)(x + 1) (B) (x + )(x + 3) (x + 6)(x - 1) (D) (x - )(x - 3) (9) Simplify the expression: 4 7 4a b 3 a b b ab 7 8 a (B) 6 4a b 6 (D) b 6

2 (10) Simplify the expression: ( 3xy ) 3 3 y 3 6 x (B) 7 y 9 5 x (D) 3 5 9x y 3 6 7x y (11) A rectangle real estate property has an area of x 3x 40 square units. The length measures x + 5 units. What is the perimeter of the property? 4x (B) 4x - 6 4x + 6 (D) 4x To enter 6x + 3y = 9 in his graphing calculator, Alaysia must first solve the equation for y. Which equation should Alaysia enter? a. y = x + 3 c. y = x 3 b. y = x + 3 d. y = x Martina works as a server at a restaurant part-time while attending Wake Forest University. She earns $3 per hour plus tips. If Martina made $60 for a week in which she worked 0 hours, how much did Martina average per hour in tips? a. $15.9 c. $10 b. $13 d. $ A company that manufactures digital cameras uses the function p = 35c 55,000 to estimate its profit p on the sale of c cameras. How many cameras must the company sell in order to break even? a. 1,500 c. 30,000 b. 15,000 d. 55, An electrical engineer uses the formula P = I R to calculate the power P, in watts, of a current of I amperes at a resistance of R ohms. What is the value of R if the power is 750 watts and the current is 15 amperes? a. 168,750 ohms c. 5 ohms b. 50 ohms d. ohms 16. The surface area of a paint can SA can be described by the formula SA = r(h +r), where r is the radius of the can and h is the height of the can. A paint can has a surface area of about 1,187 square centimeters and a radius of 9 centimeters what is the height of the paint can?( use = 3.14) a. 4 centimeters c. 1 centimeters b. 8 centimeters d. 4 centimeters 17) The coordinates of A are (- 9, ) and the coordinates of G are (3, 14). What are the coordinates of the midpoint of AG? (- 3,8) (- 6,16) (B) (- 6,6) (D) (- 1,- 10)

3 (18) The coordinates of the midpoint of AB are (,4), and the coordinates of point B are (3,7). What are the coordinates of point A? (The use of the grid is optional.) (.5, 5.5) (5.5,.5) (B) (1, 1) (D) (-.5, - 1.5) (19) The coordinates of point R are ( 3,) and the coordinates of point T are (4,1). What is the length of RT? 4 3 (B) 5 (D) 10 (0) What is the area of a square with vertices (3, 3), (6, 6), (9, 3), and (6, 0)? [The use of the grid is optional.] 3 square units 18 square units (B) 1 square units (D) 36 square units

4 (1) What is the perimeter of STVW? Round your answer to the nearest whole number. 18 units (B) 19 units 0 units (D) 1 units For # 5, Use the table below that shows the amount the United States government has spent on space and other technologies in selected years. Federal Spending on Space and Other Technologies Year Spending (in billions of dollars) () Let x represent the number of years since Let y represent the spending in billions of dollars. Which equation most accurately represents the line of best fit? y =. 46x y =. 46x (B) y = 4.6x (D) y = 1.09x According to the line of best fit equation, approximately what was spent on space and other technologies in 005? $97.35 billion (B) $16.55 billion $17.15 billion (D) $10.5 billion 4. The government spent $14.3 billion in space and other technologies in 005. Which statement correctly compares the actual spending to the predicted spending? The government spent $.5 billion more than predicted. (B) The actual government spending matched the predicted spending. The government spent $.5 billion less than predicted. (D) The government spent $.85 billion more than predicted.

5 (5) Which equation most closely represents the line of best fit for the scatter plot below? y = x (B) y = 1.19x + y = 1.5x (D) y =. 83x (6) There is a negative correlation between the number of hours a student watches television and his or her social studies test score. Which scatter plot below displays this correlation? (B) (D)

6 Use the following information to answer the question(s) below. 7 &8 Manuel has $1500 saved for a motorcycle. He plans to make deposits to his savings account for the motorcycle each month. The graph illustrates how his savings will increase. 7. What is the slope of the line that contains the points on the graph? a. 750 c. 750 b. 150 d. 1, What does the slope of the line represent? a. the increase in price of the motorcycle b. the number of months Manuel will save for the motorcycle c. the difference between the cost of the motorcycle and the amount Manuel has saved d. the amount Manuel will save each month 9. Which equation describes the relationship shown by the set of ordered pairs {( 3, 17), (, 1), (1, 3), (4, 18), (5, 3)}? a. y = 5x c. y = 5x b. y = 5x d. y = 5x A Raleigh company has monthly expenses represented by the function C(x) = 16x + 4,00, where x represents the number of items produced. For how many items produced is the monthly cost $81,000? a. 1,300,00 c. 5,063 b. 5,35 d. 4, What is the slope of the graph of 3x 4y = 0? a. 5 c. b. 4 d. 3. An Internet wholesaler charges vendors $5.10 for each bottle of herbal hand lotion plus $7.50 per order for shipping. What is the total cost to a vendor for ordering 7 bottles of the hand lotion? a. $367.0 c. $ b. $ d. $, Which function has a minimum value? a. y = x 6x + 8 c. y = 3x 10x + 8 b. d. x + y = 36 y = 8 + 5x

7 34. Which are the zeros of the function y = x + x 6? a. 1 and 5 c. and b. 5 and d. and 35. The distance in feet that an object falls without resistance is a function of the time in seconds that the object falls. This is represented by the equation f(t) = 16t. How far will an object fall in 10 seconds? a. 160 ft c ft b ft d ft 36. An object is blasted upward at an initial velocity, v 0, of 40 ft/s. The height, h(t), of the object is a function if time, t (in seconds), and is given by the formula h(t) = v 0 t 16t. How long will it take the object to hit the ground after takeoff? a. 16 seconds c. 7.5 seconds b. 15 seconds d. 4 seconds 37. Nick s height in meters above the water t seconds after diving from a diving board into a pool can be modeled by f(t) = -4.9t + 4.9t + 5. What is Nick s maximum height above the water? a. 5 meters c. 7 meters b. 6. meters d meters 38. Which ordered pair is the solution of the system of equations? 3x y = 1 5x 3y = 4 a. ( 5, 8) c. (5, 7) b. d. (11, 16) 39. Admission to the senior class variety show was $3.75 for students and $4.50 for adults. The senior class collected $1,680 from the sale of 400 tickets. How many student tickets were sold? a. 40 c. 185 b. 00 d Which equation is formed by using substitution to solve this system of linear equations? 7x + 3y = 6 y =11 - x a. 7x + 3y 11 + x = 6 y c. 7x + 3( 11 + x) = 6 b. 7x + 3(11 x) = 6 d. 7( y + 11) + 3y = 6

8 41. Last season the sales of pennants costing $5 and mugs costing $6 at a baseball stadium totaled $4,540. This season the same numbers of mugs and pennants were sold, but at a cost of $7 each for the new mugs and $9 each for the new pennants. Which system of equations models this situation if x represents pennants sold, y represents mugs sold, and total sales this season were $6,560? a. 5x + 6y = 4,540; 7x + 9y = 6,560 c. 11xy = 4,540; 16xy = 6,560 b. 5x + 6y = 4,540; 9x + 7y = 6,560 d. 11(x + y) = 4,540; 16(x + y) = 6, Consuelo and Jorge paid $15,000 for their house overlooking Pamlico Sound. If the house appreciates at a rate of 3% each year, the value V of the house after n years can be represented by V = 15,000(1.03) n. Which is the closest estimate of the value of the house after 5 years? a. $49,44 c. $41,984 b. $47,5 d. $40, If, what is the value of y when a = 500, n = 0.065, m = 1, and t = 8? Round your answer to the nearest hundredth. a. 0 c b d. 4, The function P(t) = 100(1.05) x models the population P in thousands of a city from 199 to 004, where t = 0 represents the year 199. If the growth rate remains the same, about how many people does the model predict will live in the city in 010? a. 65,000 c. 00,000 b. 41,000 d. 190, The change of a quantity after x years can be modeled by the function y = 00(0.96) x. Which describes how the quantity changes each year? a. It is growing at an annual rate of 96%. b. It is growing at an annual rate of 0.96%. c. It is decreasing by 8 each year. d. It is decreasing at an annual rate of 4%. 46. A chemical decomposes 0% by mass each hour. If the initial mass of the chemical is 700 grams, about how much of the chemical remains after 4 hours? a. 1 gram c. 140 grams b. 41 grams d. 87 grams 47. The decline in dollar value y in t years of a tractor-trailer truck is modeled by y = 160,000(0.88) t. What is the truck s initial value? a. $160,000 c. $140,800 b. $148,000 d. $88,000