106 MAT Algebra 1A Week # 4 Chapter 2 Cumulative Test
Name All Multiple Choice questions are worth 1 point. Fill-in-the-blank questions are 3 points each. Short Answer questions are worth 4 points. You are required to show all of your work in the multiplechoice questions in order to qualify for maximum points.
Multiple Choice Questions 1. Is 4 a solution to the equation x + 7 = 11? A) Yes B) No Ans A) Yes x 7 7 11 7 x4 2. Is 4 a solution to the equation 7x 5 + 3x = 6 + x 10? A) Yes B) No Ans B) No 10 x 5 x 4 10 x 5 x 5 x 4 x 5 9x 1 9x 1 99 1 x 9 3. Is 10 a solution to the equation 3 6x = 63? A) Yes B) No Ans A) Yes
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3 6 x 6 x 63 63 6 x 63 60 6 x 60 6 x 6 6 10 x 4. Solve. 10x 0.52 = 9(x 0.91) A) 7.53 B) 7.67 C) 7.88 D) 7.33 Ans B) -7.67 10 x 0.52 9 x 8.19 10 x 0.52 9 x 0.52 0 x 8.19 9 x 0.52 x 7.67 5. Find the mean and the median. 73 2, , , 4, 9 44 3 A) Mean 2, Median 4 B) Mean 10, Median 2 C) Mean 2, Median 2 3 D) Mean 10, Median 4 3 Ans A) Mean 2, Median 4
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73 2 4 9 44 Mean 5 8 7 3 16 36 2 x 5( x 1) 26 4 4 4 4 4 5 2 x 5 x 5 26 40 7 x 5 26 4 5 10 5 2 Median is the number that occur at the center of the Data Set which is 3 4
6. Translate the following statement into an algebraic equation. Let x represent the number. 12 less than 5 times a number is 18. A) 5x 12 = 18 B) 12 5x = 18 C) (12 5)x = 18 D) (5 12)x = 18 Ans A) 5x 12 = 18 5 x 12 18 7. Convert 6.2 to a percent. A) 6.2% B) 0.062% C) 62% D) 620% Ans D) 620% 6.2 100 620% 8. Identify the rate in the statement " 114 is 19% of 600." A) 114 B) 19% C) 600 Ans B) 19%
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9. Graph the solution set of x 7. A) 7 0 B) 7 0 C) 7 0 D) 7 0 Ans A Since the Inequality sign is Greater than or Equal to, then the circle should be solid, and since x is -7, then we shade the part of the line to the right of -7 10. Graph the solution set of x < 7. A) 7 0 B) 7 0 C) 7 0 D) 7 0 Ans C Since the Inequality sign is Less than, then the circle should be an open circle. Since x is < -7, then we shade the part of the line to the left of -7 Fill-in-the-blank Questions 11. Fill in the blank with < or >. Ans 4 > -5 4 5 12. Fill in the blank with < or >. Ans -22 < 7
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4 ______ 5
22 ______ 7
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22 7
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To receive full credit for your answers, show all your work for each problem. Use either Equation Editor or MathType. Short Answer Questions 13. Solve. 3x 7 = 2x + 8 x 15 Ans 3x 7 2 x 7 2 x 8 2 x 7 x 15 14. Solve. Ans 8 x 80 10 x 10 10 8 x 15. Find the mean. 4, 5, 9, 12, 15 Ans 9 Mean 45 5 9 16. Solve. Ans X = 2 8x 11 = 2x + 1 4 5 9 12 15 5 80 = 10x
8 x 11 2 x 11 2 x 1 2 x 11 6 x 12 6 x 12 6 6 x2
MAT106 Test Ch. 2
Page Solve. 6
17. 5 Ans x 6
6x + 4(3x 2) = 6x + 2
6 x 12 x 8 6 x 2 18 x 8 6 x 2 18 x 8 6 x 8 6 x 2 6 x 8 12 x 10 12 x 10 12 12 5 x 6 18. Solve. 6(x + 3) 10 = 3(2x 5) 13 Ans This is an identity 6 x 18 10 6 x 15 13 6 x 28 6 x 28 6 x 28 6 x 28 6 x 28 6 x 28 00 19. Solve for r. Ans q r 2 q 2r 22 q r 2 20. Solve for y. 6 x Ans y 2 x 2y x 6 x 2y 6 x 2y 6 x 2 2 6 x y 2
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q = 2r
x + 2y = 6
21. Translate the following statement into an algebraic equation. Let x represent the number. 9 more than a number is 12 Ans x 9 12
22. Solve. Ans x 2 8 4 x 3 19 11 4 x 19 11 4 x 11 19 11 4 x 8 4 x 8 4 4 x 2
8 (4x 3) = 19
23. Solve. 6(2 x) = 4x 6 1 Ans x 1 5 5 12 6 x 4 x 12 6 x 6 x 4 x 6 x 12 10 x 12 10 x 10 10 6 x 5 1 1 x 5 24. Find two consecutive integers such that the sum of 2 times the first integer and 5 times the second integer is 26. Ans 3, and 4 Let the first integer be x, then the consecutive integer would be x + 1
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2 x 5( x 1) 26 2 x 5 x 5 26 7 x 5 26 7 x 5 5 26 5 7 x 21 7 x 21 7 7 x3 x 1 3 1 4 The two integers are 3 and 4 25. The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle. Ans W = 8 cm, and Length = 18 cm Let the Length of the Rectangle be L, and the Width be W L 2 2W Q P 2 L 2W 52 2 L 2W Q L 2 2W 52 2(2 2W ) 2W 52 4 4W 2W 52 4 6W 52 4 4 6W 4 48 6W 48 6W 6 6 8 W Q L 2 2W L 2 2(8) 2 16 18
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26. A real estate agent received a 3% commission on the sale of a home. If the home sold for $395,000, how much was her commission? Ans $395,000 Let the Commission be C 3% 0.03 C $395, 000 0.03 C $11,850 27. A electronics store wants to order at least 3 times as many DVD players as VHS players. Write an inequality expressing this relationship. Ans V 3D Let DVD players be D, and VHS Players be V V 3D 28. Solve. x =1 3
Ans x 3 x 3( ) 1(3) 3 x3 29. Solve. Ans x 1 5x-4=3x-2 5x-4+4-3x=3x-2+4-3x 2x=2 2x 2 22 x 1 30. Solve. Ans x 5
10x 4 5x = 6 + 3x 8
5(x + 8) = 15
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5 x 40 15 5 x 40 40 15 40 5 x 25 5 x 25 5 5 x 5 31. One number is 6 more than another. If the sum of the smaller number and 3 times the larger number is 34, find the two numbers. Ans x 4, and . y 10 Let the smaller number be x and the larger number be y y 6 x Q x 3 y 34 x 3(6 x) 34 x 18 3 x 34 4 x 18 34 4 x 18 18 34 18 4 x 16 4 x 16 4 4 x4 Q y 6 x y 64 Y 10 32. Convert 3 to a percent. 4
Ans 3 75% 4 3 0.75 4 0.75 100 75%
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33. Solve and graph the solution set. Ans x 21
x + 19 > 2
-21 x 19 19 2 19 x 21
-20
0
1
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