Benchmark Prep. h a. h = 5 c. h = 3 b. h = 3 d. h = 1. w a. w = 15 c. w = 15 b. w = 3 d. w = 21. Name: Class: Date: Solve the equation.

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1 Class: Date: Benchmark Prep Solve the equation b 3 a. b = 1 c. b = 5 b. b = 5 d. b = 1 2. s ( 20) 19 a. s = 39 c. s = 1 b. s = 39 d. s = = y 3 4 a. y = b. y = c. y = d. y = s ( 5) 4 a. s = 9 c. s = 4 5 b. s = 20 d. s = x 1.5 a. x = 1.8 c. x = 1.2 b. x = 5 d. x = h 54 a. h = 60 c. h = 48 b. h = 9 d. h = h a. h = 5 c. h = 3 b. h = 3 d. h = 1 w a. w = 15 c. w = 15 b. w = 3 d. w = n 16n 4 a. n = 4 c. n = 10 b. n = 10 d. n = ( b 3) 4( 2 b) 19 a. b = 2 c. b = 2 b. b = 36 d. b = 36 1

2 11. 2n 10n 3 n 5 a. n = 2 11 b. n = c. n = 11 d. n = ( 9k 3) 2( k 8) a. k = 3 c. k = 3 b. k = 1 3 d. k = ( d 4) 4d 62d ( 6) a. d = 5 c. d = 1 5 b. d = 1 5 d. d = y a. y = 8, y = 2 c. y = 8 b. no solution d. y = 8, y = x 6 25 a. x = 1 2, x = 11 2 c. x = 1 2, x = 11 2 b. no solution d. x = y a. no solution c. y = 0, y = 1 3 b. y = 1, y = 3 1 d. y = 1, y = x a. x = 2, x = 26 3 b. x = 2, x = 26 3 c. x = 2, x = 26 3 d. x = 2, x =

3 Solve the equation. Determine whether the equation has one solution, no solution, or infinitely many solutions c c a. c 4; one solution c. no solution b. infinitely many solutions d. c 0 ; one solution 19. 7( 3n 3) 21 21n a. infinitely many solutions c. n 1; one solution b. no solution d. n 4 ; one solution Membership to a music club costs $120. Members pay $20 per music lesson and nonmembers pay $35 per music lesson. How many music lessons would have to be taken for the cost to be the same for members and nonmembers? a. 3 c. 105 b. 8 d. 85 Solve the equation. Graph the solution(s), if possible x 24 a. no solution c. x 3; b. x 3, x 3; d. x 3; 22. z 8 1 a. z 8; c. z 1 8 ; b. z 8, z 8; d. no solution 3

4 23. In a speech class, students must give a final speech for their exam. The speech can be 15 minutes, or within that time by 4 minutes. Write an absolute value equation that represents the minimum and maximum lengths of the final speech. a. t 15 4 c. t 4 15 b. t 15 4 d. t 4 15 Solve the equation. Check your solutions n 7 n a. n 7 9, n 7 11 c. n 7 9, n 9 7 b. n 7 9, n 7 11 d. n 7 9, n y 9 2y a. y 9, y 3 c. no solution 7 b. y 3 d. y c 7 9c 3 a. no solution c. c 5 9 b. c 9 5 d. c 9 5, c You deposit $1200 in an account that earns simple interest. After 42 months, the account earns $96.60 in interest. What is the annual interest rate to the nearest tenth of a percent? a. 1.0% c. 35.0% b. 2.3% d. 0.8% Write the sentence as an inequality. 28. A number x is no less than 8. a. x 8 c. x 8 b. x 8 d. x The difference of a number k and 8.1 is greater than 24. a. k c. k b. k d. k A number b divided by 3 is greater than or equal to 6. 3 a. b 6 c. b 3 6 b. 3b 6 d. b 3 6 4

5 Graph the inequality. 31. z 12.5 a. c. b. d. 32. w 169 a. c. b. d. 33. The graphs show the age restrictions a (in years) for two clubs at a community center. Write an inequality that represents the age restriction of each club. Club 1 Club 2 a. Club 1: a 12, Club 2: a 61 c. Club 1: a 12, Club 2: a 61 b. Club 1: a 12, Club 2: a 61 d. Club 1: a 12, Club 2: a 61 Solve the inequality. Graph the solution. 34. n ( 4) 23 a. n 19 c. n 27 b. n 27 d. n n 18 a. n 17 c. n 19 b. n 19 d. n 17 5

6 36. 6 b 10 a. b 3 5 c. b 60 b. b 3 5 d. b w a. w c. w 12 b. w d. w x 9 a. x 81 c. x 81 b. x 1 d. x b a. b 4 c. b 6 b. b 6 d. b 4 6

7 ( r 4) a. r 11 c. r 11 b. r 3 d. r x 8x a. x 2 c. x 2 b. x 3 d. x 3 Solve the inequality (w 3) 5w 20 a. w 7 c. w 7 b. no solution d. all real numbers 43. 8x 4 2x 9 a. no solution c. all real numbers b. x d. x x 9 4x x 6 a. x 5 c. no solution b. x 5 d. all real numbers v 9v 6 a. v 9 c. v 9 11 b. v 11 9 d. v

8 Solve the inequality. Graph the solution, if possible x 5 5 a. x 0 or x 5 c. 0 x 5 b. x 5 d. 5 x You are building a rock wall for a flower bed along your 38-foot long driveway. You want the wall to be one-half of the length of the driveway with an absolute deviation of at most 6 feet. Write and solve an absolute value inequality that represents the possible lengths of the wall. a. w 19 6; 13 w 25 c. w 6 38; 32 w 44 b. w 38 6; 32 w 44 d. w 6 19; 13 w The table shows the golf scores of the members of the same level team. To stay on the same level team, a player must have a score that is within 5 strokes of the mean score of the team. How many team members will stay on the team? Golf scores a. 8 c. 9 b. 5 d. 7 8

9 Find the domain and range of the function represented by the graph. 49. a. domain: 4 x 2, range: 4 y 4 b. domain: 4 x 2, range: 4 y 4 c. domain: 4 x 4, range: 4 y 2 d. domain: 4 x 4, range: 4 y 2 Find the value of x so that the function has the given value. 50. nx ( ) 2x 7; nx ( ) 17 a. 41 c. 5 b. 41 d. 5 9

10 Graph the linear function. 51. fx ( ) x 2 a. c. b. d. 10

11 52. gx ( ) 1 2 x 2 a. c. b. d. 53. Describe the slope of the line. Then find the slope. a. positive; 4 c. positive; 1 b. zero; 0 d. negative; 1 11

transformation from the graph of f to the

12 54. a. positive; 1 c. undefined b. negative; 1 d. zero; Let f(x) 2x 3 and g(x) f(x 3). Use the graphs of f and g to describe the transformation from the graph of f to the graph of g. a. vertical translation 3 units down c. vertical translation 3 units up b. horizontal translation 3 units right d. horizontal translation 3 units left 12

Student Performance Analysis. Algebra I Standards of Learning

Student Performance Analysis. Algebra I Standards of Learning Student Performance Analysis Algebra I Standards of Learning Practice for SOL A.1 Select each phrase that verbally translates this algebraic expression: One fourth times the cube root of x less five. One