Common Core Algebra L clone 4 review R Final Exam

Transcription

1 1) Which graph represents an exponential function? A) B) 2) Which relation is a function? A) {(12, 13), (14, 19), (11, 17), (14, 17)} B) {(20, -2), (24, 10), (-21, -5), (22, 4)} C) {(34, 8), (32, -3), (31, 1), (32, -1)} C) 3) How can the sketch of the graphs f(x) = x 2 and h(x) = -x 2 best be described? A) A reflection about the x - axis B) A reflection about the y axis C) A translation of 2 units up 4) Which type of function can be represented from the table below? x y A) Exponential B) Quadratic C) Linear 5) What is the slope of a line that passes through the points (3, 8) and (5, 10)? A) 1 B) 0 C) 5 D) -1 6) Given the function y = (x 6) 2 + 3, find the vertex. A) (6, 3) B) (-6, 3) C) (-6, -3)

2 Base your answers to questions 7 11 on the graph below 7) What is the vertex of the parabola shown in the diagram above? A) (1, 2) B) (2, 1) C) (-2, -2) 8) What are the x intercept(s)? A) (-1, 0), (-3, 0) B) (1, 0), (2, 1) C) (3, 0), (0, -3) 9) What is the axis of symmetry of the parabola shown in the diagram above? A) x = -1 B) y =-2 C) x = -2 10) What is the y intercept? A) (-1, 0) B) (0, -3) C) (0, 6) 11) What is the average rate of change for [-1, 0]? A) -6 B) 3 C) 6

3 Base your answers to questions 12 and 13 on the graph below. 12) What type of function is displayed in the graph? A) square root B) exponential C) quadratic 13) The equation for this function is: A) f(x) = x + 3 B) f(x) = x 3 C) f(x) = x + 3 D) f(x) = x ) Which function below will result in a downward vertical shift of the graph of the parent function: y = x? 15) Which inequality is represented by the graph? A) y = 1 x B) y = 4 x 4 C) y = x - 4 A) x 4 B) x 4 C) x < 4

4 16) Solve for x: 5x + y = 9 3x y = 15 A) x = 1 B) x = 3 C) x = 4 17) The sum of (2a 2 + 4a + 1) and (5a 2 4a 1) is: A) 3a 2 B) 5a 2 + 8a + 2 C) 7a 2 18) Solve for x: 9x + 6 = 3x + 18 A) 2 B) 4 C) 6 19) What is the product of (x 7) and (2x - 3)? A) 2x 2 17x + 21 B) 2x 2 11x +10 C) 2x 2-19x ) Which of the following expressions can be written as the product of two binomials? A) x 2 36 B) x C) x 2 36x 21) What is 108 expressed in simplest radical form? A) 6 3 B) 3 3 C) 8 2

5 22) In the expression 2x 3 4x 2 + 5x + 3, what is the coefficient of the cubic term? A) -4 B) 2 C) 5 23) If g(x) = x 2 + 3x, what is the value of g(2)? A) 10 B) 12 C) 18 24) What is the formula for the nth term of the sequence 10, 13, 16, 19,? A) a n = 10(3) n-1 B) a n = 7 + 3n 25) John s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at a rate of 7%. What will its approximate value be at the end of the 6 th year? A) $52, B) $22, C) $30, ) Which is an example of categorical data? A) the cost of a cup of coffee B) the color of a house C) the height of a person 27) The data below is the number of highway miles per gallon that a sample of cars should obtain. {37, 26, 29, 38, 30, 21, 20, 28, 27, 20, 18, 20} Which of the following is the standard deviation, to the nearest hundredth, of this sample? A) 6.69 B) 26.5 C) 6.4

6 Use the graph below to answer questions 28, 29, and ) What value represents the interquartile range? A) 1 B) 10 C) 4 29) The number 5 refers to A) the maximum B) the median C) the 1 st quartile 30) The data that falls between 5 and 8 represents what percent of the data? A) 25% B) 50% C) 75% 31) Which correlation coefficient indicates the strongest linear relationship between the variables? A) 0.45 B) 0.98 C) ) Which is an example of bivariate data? A) age of students in the math class B) grade level and height of students C) type of music students listen to

7 33) The cost of three shirts are represented by three consecutive even integers. If the youngest of the three is represented by x, express the sum of the ages of the three people. 34) Which fraction is undefined when x = 8? A) x 8 B) x 8 C) 1 x 8 A) 3x + 4 B) 3x + 6 C) 3x ) In the equation x 2 8x + 12 = 0, what are the solutions for x? A) {6, -2} B) {6, 2} C) {-6, -2} 36) How many solutions are there for this linear quadratic system of equations? y = x 2-2x 3 y = x + 1 A) one B) two C) none 37) Factored completely, the expression 3y y 81 is equivalent to A) 3(y - 9)(y 3) B)3(y 3)(y + 9) C) (3y + 6)(y 9) 38) Determine the number of real solutions for x 2 + 2x 8 = 0 A) 0 B) 1 C) 2 Hint: b 2 4ac 39) What value of k will complete the square? X x + k A) 6 B) -6 C) 36 40) Factor: 12x +48 A) 12(x + 4) B) 3(4x +4) C) 3x(4x + 16)

8 Solve the following problem: 41) When a certain positive number is squared, the result is 25. Find the number. b) State your conclusion.

9 Reference: Quadratic Formula: x = b ± b2 4ac 2a Arithmetic Sequence: a n = a 1 + d(n 1)