Name: Common Core Algebra L R Final Exam 2015 CLONE 3 Teacher:

Transcription

1 1) Which graph represents a linear function? 2) Which relation is a function? A) B) A) {(2, 3), (3, 9), (4, 7), (5, 7)} B) {(0, -2), (3, 10), (-2, -4), (3, 4)} C) {(2, 7), (2, -3), (1, 1), (3, -1)} D) {(3, 0), (2, 1), (2, 9), (9, 8)} C) D) 3) How can the sketch of the graphs f(x) = x and h(x) = 3 x best be described? A) A reflection about the y axis B) A translation of 3 units up C) A vertical stretch by a factor of 3 4) Which type of function can be represented from the table below? x y A) Quadratic B) Absolute Value C) Linear 5) What is the slope of a line that passes through the points (4, 2) and (3, 6)? A) -4 B) 0 C) 4 6) Given the function y = 2(x 4) 2 + 3, find the vertex. A) (4, 3) B) (-4, 3) C) (-4, -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) (-2, 0) B) (4, -2) C) (-2, 4) 8) What are the x intercept(s)? A) (-4, 0), (0, 0) B) (4, 0), (0, 1) C) (0, 0), (0, -4) 9) What is the axis of symmetry of the parabola shown in the diagram above? A) x = 1 B) y = 1 C) x = -2 10) What is the y intercept? A) (1, 0) B) (0, 3) C) (0, 0) 11) What is the average rate of change for [-1, 0]? A) 3 B) -1 C) -3

3 Base your answers to questions 12 and 13 on the graph below. 12) What type of function is displayed in the graph? A) quadratic B) exponential C) square root 13) The equation for this function is: A) f(x) = x + 3 B) f(x) = x 3 C) 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 = x 3 3 C) y = x + 3 A) x -1 B) x -1 C) x < -1 16) Solve for x: 6x + y = 10 2x y = 6 17) The sum of (-4a 2-2a + 4) and (-2a 2 + 2a 2) is: A) -6a B) -6a 2 + 4a + 6 A) x = 1 B) x = 16 C) -5a 2 C) x = 2

4 18) Solve for x: 4x + 8 = 3x ) What is the product of (x 4) and (2x + 3)? A) 2x 2 12 B) 2x x 12 C) 2x 2-5x 12 D) 2x 2-5x + 12 A) -10 B) 10 C) 2 20) Which of the following expressions can be written as the product of two binomials? A) x 2 36 B) x C) x 2 36x 22) In the expression -2x 3 6x 2 + 3x + 4, what is the coefficient of the cubic term? A) 4 B) -2 C) 3 D) -6 21) What is 80 expressed in simplest radical form? A) 5 16 B) 8 5 C) ) If f(x) = x 2 + 2x, what is the value of g(- 4)? A) 8 B) 16 C) ) What is the formula for the nth term of the sequence 8, 11, 14, 17,? A) a n = 8(3) n-1 B) a n = 5 + 3n 25) Max bought a new car for $75,000. From the moment he drives it off the lot it depreciates by 6% each year for the first 5 years. What will its approximate value be at the end of the fifth year? A) $50, B) $84, C) $55,042.80

5 26) Which is an example of categorical data? A) the height of a building B) the age of a person C) the favorite sports team 27) The data below shows the heights of 10 men in the NBA. {72, 65, 68, 68, 80, 70, 71, 82, 76, 77} Which of the following is the standard deviation, to the nearest hundredth, of this sample? A) 5.60 B) 5.61 C) 6.45 Use the graph below to answer questions 28, 29, and ) What value represents the interquartile range? A) 35 B) 5 C) 10 29) The number 100 refers to A) the maximum B) the mean C) the 1 st quartile 30) The data that falls between 85 and 100 represents what percent of the data? A) 25% B) 50% C) 75% 31) Which correlation coefficient indicates the weakest linear relationship between the variables? A) B) C) D).98 32) Which is an example of bivariate data? A) number of students in science lab B) amount of time studied and the grade on the math test C) favorite sport of the 9 th grade class

6 33) The ages of three people are represented by 3 consecutive odd integers. If the youngest of the three is represented by x, express the sum of the ages of the three people. A) 3x + 4 B) 3x + 6 C) 3x ) Which fraction is undefined when x = 3? A) x 3 B) x 3 C) 1 x 3 35) In the equation x 2 13x + 36 = 0, what are the solutions for x? 36) How many solutions are there for this linear quadratic system of equations? y = x 2 x 6 y = 2x -2 A) {9, -4} B) {9, 4} C) {-9, -4} 37) Factored completely, the expression 27y 2-12 is equivalent to A) one B) two C) infinite 38) Determine the number of real solutions for x 2 + 4x 12 = 0 A) (3y + 4)(3y 4) B) 3(y + 2)(y 2) C) 3(3y + 2)(3y 2) A) 0 B) 1 C) 2 Hint: b 2 4ac 39) What value of k will complete the square? X x + k A) 36 B) 6 C) 12 40) Factor: 36x + 4 A) 4(9x + 1) B) 4x(9 + x) C) 4(x + 9)

7 Solve the following problem: 41) When a certain positive number is squared, the result is 36. Find the number. b) State your conclusion.

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