DIRECTIONS Read each question. Then, on your answer sheet, fill in the bubble for the correct answer. 1. What is the factored form of 36a 9b? (Alg. 11.0). The graph of y 5 x x 1 is shown below. For what value(s) of x is x x 1 5 0? (Alg. 1.0) 8 y A (36a 3b) (a 13b) B (6a 9b) (6a 1 b) O x C (6a 3b) (6a 13b) D (36a 9b) (a 1b). Let a < 0 and b < 0. Which statement is true for all values of a and b? (Alg. 1.1) A (ab) < 0 B a b < 0 C a b 3 > 0 D ab 3 < 0 3. What is the reciprocal of? (Alg..0) A 1 A x 5 8 B x 5 and x 5 C x 5 D x 5 5. Which inequality is shown in the graph below? (Alg. 6.0) y B C 1 D 1 6 A y x 1 8 B y x 1 8 C y > x 1 8 D y < x 1 8 O x 8 Review and Practice
continued 6. Which equation represents a line that is perpendicular to the line defined by y 3x 5 6? (Alg. 8.0) A x 1 y 5 10 B x 1 1 y 5 10 C x 1 3y 5 1 D x 1 3y 5 1 11. Which is the first incorrect step in the solution shown below? (Alg. 5.0) Solve: (x 7) 5 1 1 x Step 1: x 1 5 1 1 x Step : 1 5 1 x Step 3: 5 x Step : 1 5 x 7. What is the solution to the system y 5 x 9 and y 5 1 3x? (Alg. 9.0) A (5, 19) B (5, 11) C (13, 35) D (13, ) 8. What is the equation of the line that has a slope of 0 and passes through the point (1, 6)? (Alg. 7.0) A y 5 x 1 6 B y 5 x 6 C y 5 6 D y 5 6 9. Which equation represents a line that is parallel to the line represented by x y 5 1? (Alg. 8.0) A x 1 y 5 3 B x y 5 5 C 7x 1 7y 5 13 D 6x 6y 5 10. Identify the property being illustrated. (Alg. 1.0) 6 p (7r) 5 7r p 6 A Distributive property B Associative property C Commutative property D Multiplication property A Step 1 B Step C Step 3 D Step 1. Ï 6 1 3 5 (Alg..0) A 5 B 19 C 11 D 7 13. What is the solution of x 1 5 10? (Alg. 3.0) A {, B {7, 3 C {, D No solution 1. Solve x 1 5 10 1 8x. (Alg. 5.0) A x 5 7 B x 5 3 C x 5 3 D x 5 7 Review and Practice 85
continued 15. Which equation is equivalent to 9x 3 5 (x 5)? (Alg..0) A 9x 15 5 0 B 5x 1 5 6x 1 8 C x 0 5 9x 3 D 13x 1 15 5 x 8 16. What is the x-intercept of the graph of 5x 5 8y 1 3? (Alg. 6.0) A 1 B 1 5 C 1 D 1 5 17. What is the equation of the line that has a slope of 3 and passes through the point (, 0)? (Alg. 7.0) A 3x 1 y 5 3 B 3x 1 y 5 6 C 3x 1 y 5 3 D 3x 1 y 5 6 18. Tim s work is shown below. Simplify: (8 3) 1 6 Step 1: (8 3) 1 3 Step : 5 3 Step 3: 5 1 9 Step : 1 Which is the first incorrect step? (Alg. 5.) A Step 1 B Step C Step 3 D Step 1 19. Simplify (1)(x 1 y). (Alg. 1.0) A y x B x 1 y C y x D x y 0. Line A has a slope of 1. Which equation represents a line perpendicular to line A? (Alg. 8.0) A x 1 y 5 B x y 5 C x 1 y 5 1 D x y 5 1 1. Which point lies on the line defined by x 3y 5 7? (Alg. 7.0) A (13, ) B (13, ) C (13, ) D (13, ). 16x 56x 5 (Alg. 10.0) A x B 6x 3 C 7x 5 D x5 3. Which of the following points lies in the solution set of the system y > x and y < x 1 1? (Alg. 9.0) A (1, 3) B (1, 6) C (, 1) D (, 7) 86 Review and Practice
continued. Which is an example of the associative property of addition? (Alg. 1.0) 9. What is the range of y 5 x when the domain is {5,, 0, 3,? (Alg. 17.0) A 3 1 (x 1 7) 5 3 1 x 1 7 A {0, 9, 16, 5 B 3 1 (x 1 7) 5 3 1 x 1 3 1 7 B {, 3 C (3 1 x) 1 7 5 (x 1 3) 1 7 C {5, 16, 0, 9, 16 D (3 1 x) 1 7 5 3 1 (x 1 7) D {5,, 0,, 3 5. (5x 3x 1 7) (x 6x 1 ) 5 (Alg. 10.0) A x 1 3x 1 5 B 6x 1 3x 1 5 C x 3x 1 5 D 6x 3x 1 5 6. Which number should be added to both sides of the equation x 10x 5 6 to complete the square? (Alg. 1.0) A 10 B 5 C 8 D 6 7. Which of the following relations is a function? (Alg. 16.0) A {(1, 5), (7, 1), (5, 5), (0, 3) B {(3, 0), (7, 1), (3, 5), (0, 3) C {(0, ), (7, 1), (3, 7), (0, 3) D {(1, ), (3, 0), (3, 3), (1, ) 8. Which relation is not a function? (Alg. 16.0) A {(0, 0), (1, 1) B {(1, ), (, 0), (0, 1), (3, 3) C {(1, ), (7, 1), (5, ), (0, 3) D {(1, ), (5, 0), (0, 3), (5, 8) 30. Which is a factor of x 9? (Alg. 11.0) A x 1 6 B x 3 C x 9 D x 1 3 31. What is the domain of the following function? (Alg. 17.0) A {0 {(0, 0), (1, 0), (, 0), (3, 0), (, 0) B The empty set,{0 C {0, 1,, 3, D {1,, 3, 3. What is the range of the following function? (Alg. 17.0) A {0 {(0, 0), (1, 0), (, 0), (3, 0), (, 0) B The empty set,{0 C {0, 1,, 3, D {1,, 3, 33. Which of the following is always a function? (Alg. 18.0) A A line through the origin B A line with negative slope C A vertical line D A line that passes through the point (1, ) Review and Practice 87
continued 3. Simplify the expression below to lowest terms. (Alg. 1.0) 3x 7x 6 x x A 3x x 1 1 B x 1 3 x 1 1 C 3x x D 3x 1 x 1 1 6x 1 18 35. x 1 8 3x 3 x 1 3x 5 (Alg. 13.0) A x 1 3 x 1 B x 1 3 C x 1 3 x 1 D x 1 36. Jen s average speed jogging was 16 yards per minute for 30 minutes. During the first 10 minutes she jogged 176 yards per minute. What was her average speed for the remaining 0 minutes? (Alg. 15.0) A 131 yards per minute B 136 yards per minute C 11 yards per minute D 16 yards per minute 37. Which relation is a function? (Alg. 18.0) A {(1, 1), (, 1), (1, 1), (3, 1) B {(, ), (3, 3), (, ), (5, 5) C {(3, ), (, 3), (3, 5), (5, 3) D {(0, 0), (1, ), (6, ), (0, ) 38. Four steps to derive the quadratic formula are shown below. I x 1 b a 5 6 Î b ac a II x 5 b a 6 Ï b ac a III x 5 b 6 Ï b ac a IV x 1 b a 5 6 Ï b ac a What is the correct order for these steps? (Alg. 19.0) A II, I, III, IV B I, II, III, IV C IV, III, I, II D I, IV, II, III 39. Which of the following is not correct? (Alg..1) A Pat found five pennies. They all had the Lincoln Memorial on them. The next penny Pat finds will have the Lincoln Memorial on it. This is an example of inductive reasoning. B Objects weigh less on the moon than they do on earth. You conclude you will weigh less on the moon than you do on earth. This is an example of deductive reasoning. C Every quadrilateral has four sides. A fivesided polygon is not a quadrilateral. This is an example of inductive reasoning. D The sum of any two odd numbers is an even number. The sum of 13 and 5 is even. This is an example of deductive reasoning. 88 Review and Practice
continued 0. Which statement best explains why there are no solutions to the equation 3x 1 x 1 5 0? (Alg. 0.0) A The value of 1 (3)(1) is positive. B The value of (3)(1) is negative. C The value of () (3)(1) is negative. 5. Solve 3x 3 6. (Alg. 3.0) A x 1 or x 3 B x 3 or x 1 C 1 x 3 D 3 x 1 D The value of () 1 (3)(1) is positive. 1. The graph of which quadratic function opens upward? (Alg. 1.0) A y 5 x 7x B y 5 6x 7x 1 1 C y 5 x 9x 1 D y 5 x x. What is the conclusion of the statement If x is a negative integer, then x cannot be a whole number? (Alg..) A x is a whole number B x is a negative integer C x is a positive integer D x cannot be a whole number 3. Tell whether the statement is true or false. If it is false, select the choice that gives a valid counterexample. If x is a positive number, then x is an integer. (Alg..3) A false; x 5 1.5 B false; x 5 0 C true D false; x 5 1. 3 Ï 8 Ï 6 p 3 Ï 15 5 (Alg..0) A 38 B 30 C 1 6. How many times does the graph of y 5 3x 1 x intersect the x-axis? (Alg..0) A none B one C two D three 7. What is the hypothesis of the statement If school is in session, then it must be a weekday? (Alg..) A it must be a weekend B it must be a weekday C school is in session D school is not in session 8. A cliff diver dives off a cliff that is 6 feet above the water. The diver s height h above the water after t seconds is given by h 5 16t 1 6. How many seconds is the diver in the air? (Alg. 3.0) A 1 B C 3 D 9. Which inequality is equivalent to 3x 8 5x 1 3? (Alg..0) A 8x 11 B 8x 5 C x 11 D x 5 D 5 Review and Practice 89
continued 50. Sara claims that the quotient of an irrational number and another irrational number is always irrational. Which is the best counterexample to Sara s claim? (Alg. 5.1) A Ï Ï 5 1 B Ï 3 Ï 5 1 C 1. 33 1. 33 5 1 D 5 5 5 1 51. Which of the following correctly completes the statement If x is a perfect square, then x is? (Alg. 5.3) A never a natural number. B never a negative integer. C always an integer. D never a positive number. 5. Which shows x 1 3x 3 10x factored completely? (Alg. 11.0) A x (x )(x 1 5) B x (x 1 )(x 5) C x(x )(x 1 5) D x(x 1 )(x 5) 53. Solve for n. (Alg. 5.0) n 1 n 3 A n 3 B n C n 3 D n 5. What are the coordinates of the y-intercept of the line 5x y 5 0? (Alg. 6.0) A (0, 5) B (0, ) C (10, 0) D (5, 0) 55. Solve 3 1 5x x 5 0 by factoring. (Alg. 1.0) A x 5 1 or 3 B x 5 1 or 3 C x 5 1 or 3 D x 5 1 or 3 56. The temperature outside an airplane flying 5 miles above Earth s surface is twice the opposite of the temperature on the ground which is 158C. What is the temperature outside the airplane? (Alg..0) A 308C B 158C C 158C D 308C 57. Which of the following best explains why the graph below is not a function? (Alg. 18.0) O y x A The vertical line x 5 1 does not intersect the graph. B The vertical line x 5 0 intersects the graph only once. C The horizontal line y 5 1 passes through the graph only once. D The vertical line x 5 1 intersects the graph twice. 90 Review and Practice