2. What are the zeros of (x 2)(x 2 9)? (1) { 3, 2, 3} (2) { 3, 3} (3) { 3, 0, 3} (4) {0, 3} 2

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1 ALGEBRA 1 Part I Answer all 24 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each question, write on the space provided the numeral preceding the word or expression that best completes the statement or answers the question Which expression is equivalent to (x 2 + 3x 4)(x 5)? (1) x 3 + 8x 2 19x + 20 (3) x 3 2x 2 11x + 20 (2) x 3 2x 2 19x + 20 (4) x 3 8x 2 11x What are the zeros of (x 2)(x 2 9)? (1) { 3, 2, 3} (2) { 3, 3} (3) { 3, 0, 3} (4) {0, 3} 2 3. The formula for converting degrees Celsius to Fahrenheit is F = 9 C Which expression is correctly written to convert 5 Fahrenheit temperatures into degrees Celsius? (1) C = 9 5F 160 F + 32 (3) C = 5 9 (2) C = 5 F 160 (4) C = 32F What are the restrictions of the domain of the function F(x) = 2 x 9? (1) x 3 (2) x 3 (3) x 9 (4) x What is the value of f(2) when f(x) = { 3x2 + x 1, x 1 2x, x < 1 (1) 4 (2) 7 (3) 11 (4) What are the possible values for x in the equation 4x 2 = 64? (1) x = 0 (2) x = 4 (3) x = 4, 4 (4) x = 0, 4, 4 6 making a trip. They charge an additional set rate of $1.50 per mile that is traveled. What is an equation that represents the charges? (1) y = 1.5x (3) y = 1.5x (2) y = 4.75x (4) y = 4.75x The accompanying frequency table indicates the grades on the math midterm in Ms. Dennis class. In which interval does the median of the data lie? (1) (3) (2) (4) Frequency Table Interval Tally Frequency IIII I IIII IIII IIII II IIII 4 8

2 18 ALGEBRA 1 9. What is the interquartile range of the data set below? Growth in feet of oak trees: 68, 80, 73, 90, 120, 94, 76, 112, 101, 94, 72 (1) 22 (2) 28 (3) 52 (4) A rocket is launched from the ground. The function h(t) = 4.9t t models the height of a rocket launched from the ground t seconds after it is launched. If all other factors remain the same, which of the following function models the height of a rocket above the ground after t seconds if it is launched from a platform 100 feet in the air? (1) h(t) = 4.9t t (3) h(t) = 4.9t t (2) h(t) = 4.9t t 100 (4) h(t) = 4.9t (t + 100) What is the sum of 2x 2 5x + 3 and 4x 2 + 4x 6 (1) 6x 2 x 3 (3) 2x 2 + 9x 3 (2) 6x 2 x 3 (4) 6x 2 + 9x Which situation describes a correlation that is not a causal relationship? (1) Car color and number of car accidents (2) Hours spent studying and test score (3) Amount of exercise each week and the time it takes to run a mile (4) Distance to reach a destination and the amount of gasoline used Which function has the largest maximum? (1) y = x 2 + 2x 1 (3) y = 2x 2 3x + 4 y (2) x y (4) Which are the side lengths of a right triangle? (1) 10, 15, 20 (2) 11, 16, 22 (3) 12, 18, 26 (4) 20, 21, Veronica earned $150 at work this past week in her paycheck. She wants to buy some necklaces which cost $6 each. She writes a function to model the amount of money she will have left from her paycheck after purchasing a certain number of necklaces. She writes the function, f(x) = 150 6x. Determine what x and f(x) stand for in the function. (1) x = weeks; f(x) = dollars left (3) x = necklaces; f(x) = dollars left (2) x = dollars left; f(x) = weeks (4) x = dollars left; f(x) = necklaces Maxwell and Jessica went to the candy store. Maxwell bought one chocolate covered cookie and two lollipops for $2.50. Jessica bought one chocolate covered cookie and four lollipops for $3.00. How much does one lollipop cost? (1) $0.25 (2) $0.40 (3) $.50 (4) $ x

3 ALGEBRA If x = a 2, which situation would always double the value of x? b (1) Doubling the value of a. (3) Doubling the value of b. (2) Halving the value of a. (4) Halving the value of b Jessica is planning to build a square areas. Her results are summarized in the following table. All values are rounded to the nearest hundredth when necessary. Area (square feet) Side Length (feet) What is the average rate of change in the side length as the area increases from 100 square feet to 900 square feet? (1).025 (2) 20 (3) 40 (4) The selling prices for a group of cars were recorded when the cars were new Which car s price dropped at a constant percent rate each year? (1) Year Cost (2) Year Cost (3) Year Cost (4) 0 25, , , , , , , , , , , , , , , , Five friends decided to do an Math Study experiment to see how studying impacted their test scores. Each student 80 studied for a different amount of time and recorded his or her test score on a math unit test. The results are shown in 30 the scatter plot to the right. Based on their data, which function best models 0 the relationship between studying and test score on the math unit test? (1) f(x) = 7x + 60 (3) f(x) =60x + 14 Year Cost 0 25, , , , , , Hours Spent Studying (x) (2) f(x) =14x + 60 (4) f(x) = 1 x Which is the correct solution set for 4x 2 + 4x 3 = 0? (1) {2, 3} (2) { 1 2, 3} (3) {1, 2} (4) { 1 2, 3 2 } In the expression 5x 3 4x 2 + 2x quadratic term? (1) 5 (2) 4 (3) 3 (4) 4 22 Test Score f(x)

4 20 ALGEBRA The table below displays data collected from the census. What is the linear th grade and average yearly salary in the United States to the nearest hundredth? Years of education past 8 th grade Average Yearly Salary 2 years (10th grade) 23,088 4 years (High School Graduate) 32,552 6 years (Associates Degree) 39,884 8 years (Bachelors Degree) 53,976 9 years (Masters Degree) 66, years (Doctorate) 80,600 (1).96 (2).97 (3).98 (4) Which function below correctly illustrates the absolute value function? a, if a 0 a, if a 0 a, if a 0 a, if a 0 a, if a 0 24 (1) a = { a, a, if if a a 0 0 (3) a = { (2) a = { a, if a 0 (4) a = { Part II Answer all 8 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in the space provided. [16] 25. Find the 5 th a(n) = (n + 3) n Solve: = x 2 x 3

5 27. Simplify: (x 2 + 4)(2x 2 + x 1) ALGEBRA Find the y-intercept(s), if any for the equation: y = x Tim makes wooden salad bowls to sell at a monthly craft fair near his home town. Each month he spends $45 on specialty wood and other materials from his local lumber store. At the craft fair, Tim sells each completed salad bowl set for a total of $22, including tax. Express Tim s 30. The Rockford s have a square play area that is built around a center sandbox that is in the shape of a circle. The sides of the play area are tangent to the circle. They want to determine the amount of grass seed to buy for the spring. If the diameter of the circular sandbox is represented by d use function notation to write a function to represent the play area only.

6 22 ALGEBRA Explain the steps necessary for solving the following equation. x 2 8x 20 = The following data is the set of quiz scores from Ms. Jones algebra class: 56, 82, 78, 90, 99, 73, 85, 95, 76, 88, 100 a) Create a box plot for the data. b) Find the median grade for the class. Part III Answer all 4 questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. [16] Hours Wages out how many hours they worked last week and their wages. The information from each student is summarized in the table. a) Find the linear regression equation for the data nearest hundredth b) Using your regression, how much money would someone make if he or she worked 25 hours last week? Round to the nearest cent.

7 ALGEBRA Sketch the graph of the function: y = x + 3 y 23 x 35. Sketch the graph of the function h(x) = x 2 6x 5. Label all intercepts. Label the vertex and state if it is a maximum or minimum point. y x

8 x 24 ALGEBRA The cost of operating Jelly s Doughnuts is $1600 per week plus $.10 to make each doughnut. a) Write a function, C(d), to model the company s weekly costs for producing d doughnuts. b) What is the total weekly cost if the company produces 4,000 doughnuts? c they sell. If they sold all 4000 doughnuts they made, would they make money or lose money for the week? How much? Part IV Answer one question in this part. The correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in the spaces provided. [12] 37. Sketch the graph of all of the solutions to the equation y = 1 4 (2)x where 0 x 5. y Find the average rate of change between f(2) and f(5).