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Name: Class: Date: Algebra 1 EOC Practice Test (Chapters 1-12) Multiple Choice Identift the choice that best completes the statement or answers the question. Write a verbal expression for the algebraic expression. 1. 2x3 — 4x a. 2 times x squared minus 4 times x b. 2 times x cubed increased by 4 times x c. the sum of 2 times x cubed and 4 times x d. 2 times x cubed minus 4 times x Solve the equation. Then check your solution. 2. a a. b. 14 —84 3. Solve —2n —1 =7. a. b. n = —4 or n = —3 c. d. 12 14.1 c. d. n = —4 or n = 3 no solution Find the next three terms of the arithmetic sequence. 4. 55, 47, 39, 31, ... a. 36, 41, 46 b. 23, 15,7 c. d. 29, 27, 25 26, 21, 16 Write a linear equation in slope-intercept form to model the situation. 5. A taxi driver charges $5 plus $0.30 per mile. a. C = 0.3 + 5ni b. C = 5 — 0.3m c. d. 1 C = 5 + 0.3m ni= 5+ 0.3C ID: A Name: ID: A Write an equation of the line that passes through the pair of points. 6. (-5, 8), (-3, —8) a. y = —8x + 22 b. y = —8x + 32 c. y = — 32 d. y = —8x — 32 Average Cycling Speed 18 16 14 _12 zlo .96 4 2 5 10 15 20 25 30 35 Minutes 7. Use the scatter plot that shows the average cycling speed as time passes. Use the points (5, 15) and (25, 10) to write the slope-intercept form of an equation for the line of fit shown in the scatter plot. a. y = —0.25x + 16.25 c. y = 0.25x + 16.25 b. x = —0.25y + 16.25 d. y = —3.95x + 16.25 Solve the inequality. 8. —31) > —3 8 a. b > —24 c. b>8 b. d. b<8 b 2 Name: ID: A Solve the compound inequality and graph the solution set. 9. g-6>-1 org+2> 8 a. g < 5 -10 -8 -6 -4 -2 0 2 4 6 8 10 b. 5<g<6 <111111110.011) -10 -8 -6 -4 -2 0 2 4 6 8 10 C. g > 5 -10 -8 -6 -4 -2 0 2 4 6 8 10 d. g>6 ( 11 1 1 1 1 1 1 1 1 > -10 -8 -6 -4 -2 0 2 4 6 8 10 10. At a local electronics store, CDs were on sale. Some were priced at $14.00 and some at $12.00. Sabrina bought 9 CDs and spent a total of $114.00. How many $12.00 CDs did she purchase? a. 9 c. 5 b. 6 d. 3 Use elimination to solve the system of equations. 11. —4x 6y = —6 7x + 9y = —9 a. (-18,13) b. (13,-18) c. (0,—I) d. (0, 1) 3 Name: ID: A —2 4 9 0 6 3 If A = 4 , B = —8 12-4 12 7 20 2 15 —5 17 C= 27 65 37 18 74 14 , and D = —18 —48 —52 12 —36 36 sum, d fThrence, or pi oduct. If the sum or diference does not exist, write not possible. 12. A +B a. b. —6 12 27 0 18 9 3 6 2 —6 —3 —11 8 4 —12 —12 —11 7 —21 11 29 8 14 40 —8 8 18 —16 4 30 13 —3 13 24 —10 34 C. d. Simp1052. Assume that no denominator is equal to zero. 13. (-6hi 3/ 4 )(317 a. b. ) .7 18h 4 i3i 18h 4 iii 7 C. 18h3 U2 d. —18h3 i2j42 Find the product. 14. —5r3 (4r2 —2r — 5) a. —201-5 — 10r4 —25r3 b. —20? +10r4 +25r3 c. 20r5 —10r4 —25? d. —20r6 + 10? + 25r3 4 ,find each Name: ID: A Find the product of each sum and difference. 15. (31+ 9)(3/ - 9) a. 912 +271- 81 b. 912 - 81 c. 9/2 +81 d. 6/ Solve the equation. 16. 4k 2 = 5k a. 101 C. d. Factor the trinomial, Wpossible. If the trinomial cannot be factored using integers, write prime. 17. 3/2 a. b. c. d. + 10/ + 8 (3/ + 6)(t + 4) (3/ - 4)(t - 2) prime (3/ + 4)( + 2) Write the equation of the axis of symmetry. 18. y = 2x2 + 5x - 4 5 a. x = -3 . 5 b. x = 4 3 C. d. 5 5 4 Name: ID: A Solve the quadratic equation by finding the square root. Round to the nearest tenth if necessary. 19. d2 + 22d + 121 = 18 a. 24.8, 11.2 b. —103, — 81 c. d. —6.8, — 15.2 3.4, — 16.9 Solve the equation of exponential decay. 20. Nintendo brand's value decreased by 11.2% from 2002 to 2003. Assume this continues. If the company had a value of $9,220,000 in 2002, write an equation for the val ue of Nintendo for t years after 2002. a. y 9,220,000(0.112) e c. y = 9, 220,000(1.112)' ' 12 b. y = 9,220,000(1— 0.112t) d. y = 9,220,000(1— 0.112)` Simplify the expression. 21. 15 a. b. 15 c. 7 15,15 1 [ 7 15 d ' 7 Determine whether the following side measures form right triangles. Justify your answer. 22. 17, 21, 53 a. No; 172 +212 b. 532 No; 172 +212 = 532 c. d. Yes; 172 +212 532 Yes; 172 + 21 2 = 532 23. State the excluded values for each rational expression. 4a —4 a 2 - 2a — 15 a. 1 b. —1,1 c. 3,—S d. —3,5 6 Name: ID: A Find the quotient. +8b + 7 24. b+1 a. b. c. d. b2 — b+I 8b 7 b+I b+I 1) 2 +8b+7 b b +1 h+7 Find the median. Round to the nearest tenth if necessary. 25. {12, 28, 90, 12, 16, 10} a. b. 19 14 c. 10 d. 12 A standard deck of cards contains 52 cards divided evenly into four suits. The suits are hearts and diamonds which are red and clubs and spades which are black. Each suit is composed of cards numbered two through ten and a jack, queen, king, and ace. 26. What is the probability of selecting a king or queen? 13 52 b. 26 Short Answer 27. Aaron's point totals in the first four of five basketball games were 15, 18, 19, and 12. How many points, t, must he score to have a mean point total of more than 16? 7 Name: ID: A Describe the transformations needed to obtain the graph of g(x) from the graph 011(4. 28. .f(x) = x2 + 1 g(x) = 3x2 29.Find the perimeter of the rectangle with a length of 3,fi + a width of fi+ 30. inches and The test scores of the students in drivers education were: {95, 90, 95, 95, 95, 90, 95, 95, 95}. Which measure of central tendency best represents the data? Justify your answer and find the measure. 8