Algebra 2 Semester 1 Exam Review Multiple Choice

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Justin Bertram Brooks
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1 Algebra Semester Exam Review Multiple Choice Chapter. (No Calculator) Which list shows the numbers in decreasing order.7,,,,,,., C.,,,,. 7,.,.7, 7 7. Which of the following statements illustrates the distributive property ( ) 9 ( 9) C. () () ( ) 7 ( 7) 0. 7 feet is equal to how many yards 6 8 C. 6. (No Calculator) What is the value of g - (g + ) when g = C. 9. Which of the following polynomials is the simplified expression of 8p q + + q p 8p q + 6p + q + C. 0p - q + 0p + q + 6. (No Calculator) What is the solution of -m - = C Which equation is represented by the table below x 0 y 0 9 y = x + 9 y = x + C. y = x y = 9x + 8. Your softball team is ordering equipment from a catalog. Each bat costs $. The cost of shipping is $ no matter how much you order. The total cost is $8. How many bats did your team order 8 9 C What equation do you obtain when you solve the formula V g h V h for g g V V g C. g V h g h g 0. What is the value of z if z = 7 C.

2 . (No Calculator) Which inequality represents the solution to 7x x 8 x x C. x x. The weekly salary for a salesperson is $ plus a % commission on total sales. The salesperson would like to earn at least $60 per week. What is the least amount the salesperson must sell in order to produce the desired salary $8 $800 C. $800 $80. (No Calculator) What is (are) the solution(s) to 6x 8 x only only C. - and and. Which compound inequality is shown by the graph below x or x x C. < x - x < Chapter. What is the range of the relation given by the ordered pairs (, ), (, -), (-, 7), (, ),and (9, ) -,,,, and 9,,, and 9 C. -,,, and 7 -,,,, and 9. (No Calculator) Which of the following functions is linear f ( x) x f ( x) x x C. f ( x) x f ( x) x. Which sets of points would produce a line with slope of (, 7), (7, ) (, ), (, -) C. (-, 0), (0, -) (, ), (8, 0). Which represents the slope of a line that is perpendicular to a line with a slope of - C.. Which is the equation of the line that passes through the point (-, ) and is parallel to the line y x y x 6 y x C. y x 6 y x 6. Which is the equation of the line that passes through the points (-, )and (-, -) y x y x 0 C. y x y x

3 7. The variables x and y vary directly. If x = and y = 6 what is the direct variation equation y = x y = x C. y = x y = 6x 8. Which equation best models the data in the scatterplot y = -x + 7 y = -x - C. y = x + 0 y = 6x + 9. (No Calculator) Which is the equation of the given graph y x y x C. y x y x 0. Which equation would show the original function y f (x) shrunk by a factor of, reflected across the x-axis, translated units left and units down y f ( x ) y f ( x ) C. y f ( x ) y f ( x ). (No Calculator) Which statement is true about the graph of the function y x Its vertex is at (-6, 0) Its vertex is at (-, ) C. Its vertex is at (, ) Its vertex is at (, ). (No Calculator) Which ordered pair is a solution of x y (0, ) (-, ) C. (6, 0) (7, ). The graph of which inequality is shown y x y x C. y x y x

Chapter. The graph of a linear system is shown. How can you classify the system consistent and independent consistent and dependent C. consistent inconsistent and independent.

4 Chapter. The graph of a linear system is shown. How can you classify the system consistent and independent consistent and dependent C. consistent inconsistent and independent. How many solutions does the system in Exercise have none one C. two infinitely many. What is the solution of the system of equations below x y 6 x y 8 (-, -) (-, ) C. (, -) (, ). You have $.0 in quarters and dimes. There are 0 coins altogether. Which system of equations can you use to find the number of each type of coin you have x y 0 x y. 0.x 0.y. 0.x 0.y 0 C. x y 0 0.x 0.y,0 x y 0 0x y.. What is the solution of the system of equations below x 7y x y (.,) (,-), C. many solutions No solution 6. Which system of inequalities is represented by the graph below x y x y x y x y C. x y x y x y x y

5 Chapter. (No Calculator) For the function y = -x 6x - 7, find the vertex and axis of symmetry. vertex (, -); axis of symmetry x = vertex (-, ); axis of symmetry x = C. vertex (-, ); axis of symmetry x = - vertex (, -); axis of symmetry x = -. (No Calculator) If the graph of y = ax + bx + c opens down, which of the following must be true a 0 a 0 C. c 0 c 0. (No Calculator) Which function does not have a maximum value y x x 6 y x x 6 C. y x x y 9 x. (No Calculator) What is the vertex of y ( x ) (-, -) (-, ) C. (, -) (, ). (No Calculator) What are the x-intercepts of y ( x 7)( x ) -7 and 7 and - C. and - and - 6. Factor the expression m m. ( m 7)( m ) ( m 7)( m ) C. ( m 7)( m ) ( m 7)( m ) 7. Which value of c makes the expression x x c a perfect square trinomial C. 8. What are the roots of the equation z z 0 -, -, - C. -,, 9. Factor the expresstion 8x 8x. ( x )(x ) ( x )(x ) C. ( x )(x ) ( x )(x ) 0. (No Calculator) Simplify the expression. C.. What are the solutions for the equation w 9w -9, 0, -9 C. 0, 9, 9. What are the solutions of ( x ) 7 C. 6. (No Calculator) What are the solutions of y i C. 9 9i i. What is the standard form of the expression i i i C. i i

6 . (No Calculator) Use completing fhe square to find the vertex of y x 0x 77. (-, -) (-, ) C. (, -) (, ) 6. (No Calculator) What is the value of c if the discrimant of x x c is C. Chapter 8a bc. What is the simplified form of ab c ab c a b c a C. b a bc. What is (. 0 )(. 0 ) written in scientific notation C (No Calculator) Which equation is the graph of the polynomial function shown f ( x) x x f ( x) x x C. f ( x) x x 7 f ( x) x x. What is the degree of the polynomial h( t) 8t t C.. What is the greatest common monomial factor of x 9x y x y 6xy y C. xy x y 6. Factor x x completely. x ( x ) x ( x )( x ) C. x ( x )( x ) ( x x ) 7. What is one of the factors of x x 7x 7 x x C. x x 8. If x is a factor of a polynomial f(x) which of the following statements does not have to be true f() = 0 f(-) = 0 C. is a root of f(x) is a zero of f(x) 9. Which is not a possible rational solution of f ( x) x x x 6 C. 6

7 0. Use your graphing calculator to find the local minimum value(s) for v ( x) x x..6,..,.7 0, there are none Chapter 6 C.. (No Calculator) What is the value of (-) / -7 - C. 7. What is the solution to x C. 79. (No Calculator) Which expression is the simplest form of 6 C Assuming all variables are positive, what is the simplified form of 7 z 6z 6z z z z z C. z z 9 z z. What is g(f(x)) if f(x) = x and g(x) = x x 6 6 x C. 6 x 6. Which function represents the inverse of y x y x y x C. y x y x 7. (No Calculator) The graph of y x is shifted units up and units to the left. Which is the equation of the translated function y x y x C. y x y x 8. (No Calculator) What are the domain and range of the function y x Domain: all real numbers; Range: all real numbers Domain: x ; Range: all real numbers C. Domain: all real numbers; Range: y 0 Domain: x ; Range y 0 9. What is (are) the solution(s) to x x x = x = C. x = and No solution 6 6x

8 Answer Key Chapter Chapter Chapter Chapter Chapter Chapter 6. B. C. A. C. B. A. C. C. B. A. A. B. C. A. C. C. A. B. A. B. A. C. C. B. B. B. D. B. C. B 6. A 6. A 6. B 6. B 6. B 6. C 7. D 7. C 7. C 7. A 7. D 8. A 8. D 8. B 8. B 8. D 9. A 9. B 9. D 9. A 9. B 0. C 0. D 0. C 0. B. A. C. B. C. B. B. D. A. B. C. D. D 6. B.

Advanced Algebra II 1 st Semester Exam Review

dname Advanced Algebra II 1 st Semester Exam Review Chapter 1A: Number Sets & Solving Equations Name the sets of numbers to which each number belongs. 1. 34 2. 525 3. 0.875 4. Solve each equation. Check