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Foundations Algebra 1 A Semester Exam Points scored may differ from the grading guidelines because of teacher review. Contact your program teacher if you have any questions. Correct Answer Correct Partially correct answer Partial Credit Incorrect answer Incorrect Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the sum? 7 over 2 + – 3 over 5 (1 point) Unselected answer (0 pts) 4/3 Correct answer (1 pt) 29/10 Unselected answer (0 pts) –21/10 Unselected answer (0 pts) 41/10 1 /1 point 2. Which property is illustrated by the statement? (4 + 6.1) + 7 = 4 + (6.1 + 7) (1 point) Correct answer (1 pt) Associative Property of Addition Unselected answer (0 pts) Inverse Property of Multiplication Unselected answer (0 pts) Commutative Property of Addition Unselected answer (0 pts) Inverse Property of Addition 1 /1 point 3. To which subsets of the real numbers does the number 1/3 belong? (1 point) Correct answer (1 pt) rational numbers Unselected answer (0 pts) irrational numbers Unselected answer (0 pts) whole numbers, integers, rational numbers Unselected answer (0 pts) whole numbers, natural numbers, integers 1 /1 point 4. What is the algebraic expression for the following word phrase: the product of 5 and p? (1 point) Unselected answer (0 pts) 5 + p Correct answer (1 pt) 5p Unselected answer (0 pts) 5 – p Unselected answer (0 pts) 5/p 1 /1 point 5. What is the simplified form of the expression square root 1 over 121? (1 point) Unselected answer (0 pts) 121 Correct answer (1 pt) 1/11 Unselected answer (0 pts) 11 Unselected answer (0 pts) 2/242 1 /1 point 6. Evaluate x over y, for x = 2/3 and y = 5/6 (1 point) Unselected answer (0 pts) 5/9 Correct answer (1 pt) 4/5 Unselected answer (0 pts) 5/4 Unselected answer (0 pts) 9/5 1 /1 point 7. Simplify the expression 3 over 5 squared (1 point) Unselected answer (0 pts) 6/10 Unselected answer (0 pts) 9/5 Unselected answer (0 pts) 3/25 Correct answer (1 pt) 9/25 1 /1 point 8. What is the simplified form of the expression 3[14 ÷ (42 – 32) – 5]? (1 point) Correct answer (1 pt) –9 Unselected answer (0 pts) 27 Unselected answer (0 pts) 21 Unselected answer (0 pts) 6 1 /1 point 9. Is (5, 17) a solution of the equation y = 4x + 3? (1 point) Unselected answer (0 pts) yes Correct answer (1 pt) no 1 /1 point 10. Solve the equation. 3m – 4 = 26 (1 point) Unselected answer (0 pts) m = 30 Unselected answer (0 pts) m = 22/3 Correct answer (1 pt) m = 10 Unselected answer (0 pts) m = 17 1 /1 point 11. Solve the equation. –15 = a/5 (1 point) Unselected answer (0 pts) a = –3 Unselected answer (0 pts) a = –20 Unselected answer (0 pts) a = –10 Correct answer (1 pt) a = –75 1 /1 point 12. Solve the equation. 3x = 3(x – 4) + 12 (1 point) Unselected answer (0 pts) x = 8 Unselected answer (0 pts) x = 0 Correct answer (1 pt) x = infinitely many solutions Unselected answer (0 pts) x = no solution 1 /1 point 13. Amy and Mike are going to an amusement park. They each bought ice cream, and Mike got a soda. Amy had a $10 coupon to put toward the cost, and Mike paid the rest, which came to $30.25. Admission for one person costs $18.00, and ice cream costs $1.50. How much does a soda cost at the amusement park? (1 point) Correct answer (1 pt) $1.25 Unselected answer (0 pts) $1.50 Unselected answer (0 pts) $0.75 Unselected answer (0 pts) $2.10 1 /1 point 14. Solve the equation. 7(2b – 5) + 3 = 10 (1 point) Unselected answer (0 pts) b = 42 Unselected answer (0 pts) b = 11/7 Unselected answer (0 pts) b = 6/7 Correct answer (1 pt) b = 3 1 /1 point 15. Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} is the universal set and P = {1, 2, 3, 4}. What is P'? (1 point) Correct answer (1 pt) {5, 6, 7, 8} Unselected answer (0 pts) {1, 2, 3, 4, 5, 6, 7, 8} Unselected answer (0 pts) {1, 2, 3, 4} Unselected answer (0 pts) cannot be determined 1 /1 point 16. Solve. 8x – 5 ≥ 27 (1 point) Correct answer (1 pt) x ≥ 4 Unselected answer (0 pts) x ≥ 11/4 Unselected answer (0 pts) x ≤ 4 Unselected answer (0 pts) x ≤ 11/4 1 /1 point 17. Your goal is to save at least $360.00 over the next 6 weeks. How much money must you save each week in order to meet that goal? Write and solve an inequality. (1 point) Unselected answer (0 pts) 6 + x ≥ 360; x ≥ 354 Unselected answer (0 pts) 60x ≤ 360; x ≤ 10 Unselected answer (0 pts) x/6 ≤ 360; x ≤ 2,160 Correct answer (1 pt) 6x ≥ 360; x ≥ 60 1 /1 point 18. A student scored 78 and 95 on his first two quizzes. Use a compound inequality to find the possible values for a third quiz score that would give him an average between 80 and 90, inclusive. (1 point) Correct answer (1 pt) 67 ≤ x ≤ 97 Unselected answer (0 pts) 78 ≤ x ≤ 95 Unselected answer (0 pts) 80 ≤ x ≤ 90 Unselected answer (0 pts) 86 ≤ x ≤ 87 1 /1 point 19. Of 256 consumers polled, some like only thriller movies, some prefer just comedies, and some like both. If 78 people like only thrillers and 116 like both, how many people prefer only comedies? (1 point) Correct answer (1 pt) 62 Unselected answer (0 pts) 38 Unselected answer (0 pts) 140 Unselected answer (0 pts) 194 1 /1 point 20. Choose the correct solution graph for the inequality. –3x > 24 (1 point) Unselected answer (0 pts) number line Unselected answer (0 pts) number line Unselected answer (0 pts) number line Correct answer (1 pt) number line 1 /1 point 21. Choose the correct solution graph for the inequality. 12x + 4 ≥ 16 or 3x – 5 ≤ –14 (1 point) Unselected answer (0 pts) number line Unselected answer (0 pts) number line Correct answer (1 pt) number line Unselected answer (0 pts) number line 1 /1 point 22. Solve. │x – 5│ = 3 (1 point) Correct answer (1 pt) x = 8 and x = 2 Unselected answer (0 pts) x = 8 and x = –2 Unselected answer (0 pts) x = 8 Unselected answer (0 pts) x = 2 1 /1 point 23. A new book is published and the table shows the number of people who showed up for a book signing in the first, second, third, and fourth month of its release. Which graph could represent the data shown in the table? Month Number of People 1 64 2 134 3 216 4 343 (1 point) Unselected answer (0 pts) graph Unselected answer (0 pts) graph Correct answer (1 pt) graph Unselected answer (0 pts) graph 1 /1 point 24. The table shows the relationship between two variables. Is the relationship a linear function? x y 1 1 2 –3 3 –7 4 –11 (1 point) Correct answer (1 pt) yes Unselected answer (0 pts) no 1 /1 point 25. The ordered pairs (1, 5), (2, 25), (3, 125), (4, 625), and (5, 3125) represent a function. What is a rule that represents this function? (1 point) Incorrect Answer (0 pts) y = x5 Unselected answer (0 pts) y = 5x Unselected answer (1 pt) y = 5x Unselected answer (0 pts) y = x + 5 0 /1 point 26. Suppose noodle soup is on sale for $0.75 a can and you have a coupon for $0.50 off your total purchase. Write a function rule for the cost of n cans of soup. (1 point) Correct answer (1 pt) C(n) = 0.75n – 0.5 Unselected answer (0 pts) C(n) = 0.5n – 0.75 Unselected answer (0 pts) C(n) = (0.75 + n) – 0.5 Unselected answer (0 pts) C(n) = (0.5 + n) – 0.75 1 /1 point 27. Determine if the mapping diagram that represents a relation is a function. mapping diagram (1 point) Unselected answer (0 pts) The relation is a function. Correct answer (1 pt) The relation is not a function. 1 /1 point 28. Tell whether the sequence is arithmetic. If it is, what is the common difference? –12, –7, –2, 3, . . . (1 point) Correct answer (1 pt) yes; 5 Unselected answer (0 pts) yes; 8 Unselected answer (0 pts) yes; 3 Unselected answer (0 pts) no 1 /1 point 29. What is the graph of the function rule? y= |2 x | + 1 (1 point) Unselected answer (0 pts) graph Unselected answer (0 pts) graph Unselected answer (0 pts) graph Correct answer (1 pt) graph 1 /1 point 30. For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x y 3 6 6 18 8 24 (1 point) Unselected answer (0 pts) yes; y = 2x Unselected answer (0 pts) yes; y = 3x Unselected answer (0 pts) yes; y = 4x Correct answer (1 pt) no; y does not vary directly with x 1 /1 point 31. Match the equation with its graph. –3x + y = 4 (1 point) Unselected answer (0 pts) graph Unselected answer (0 pts) graph Unselected answer (0 pts) graph Correct answer (1 pt) graph 1 /1 point 32. Find the slope of the line. graph (1 point) Incorrect Answer (0 pts) 1/5 Unselected answer (0 pts) –1/3 Unselected answer (1 pt) –3 Unselected answer (0 pts) 5 0 /1 point 33. What is the slope of the line that passes through the pair of points? (5, 7), (2, 1) (1 point) Unselected answer (0 pts) 8/7 Unselected answer (1 pt) 2 Unselected answer (0 pts) –8/7 Incorrect Answer (0 pts) 1/2 0 /1 point 34. What is the slope of the line? graph (1 point) Unselected answer (0 pts) –2 Correct answer (1 pt) 0 Unselected answer (0 pts) undefined Unselected answer (0 pts) 2 1 /1 point 35. Write an equation in point-slope form for the line through the given point with the given slope. (–7, 9); m = 4/5 (1 point) Unselected answer (0 pts) y + 7 = 4/5(x – 9) Incorrect Answer (0 pts) y – 7 = 4/5(x + 9) Unselected answer (1 pt) y – 9 = 4/5(x + 7) Unselected answer (0 pts) y + 9 = 4/5(x – 7) 0 /1 point 36. The table shows the height of a tree as it grows. What equation in slope-intercept form gives the tree's height at any time? Time (months) Height (inches) 2 14 4 23 6 32 8 41 (1 point) Unselected answer (0 pts) y = 9x + 2 Unselected answer (1 pt) y = 9/2x + 5 Unselected answer (0 pts) y = 9/2x Incorrect Answer (0 pts) y = 5x + 9/2 0 /1 point 37. Write y = –2/5x – 3 in standard form using integers. (1 point) Correct answer (1 pt) 2x + 5y = –15 Unselected answer (0 pts) 2x + y = –3 Unselected answer (0 pts) 2x + 5y = –3 Unselected answer (0 pts) x + y = –15 1 /1 point 38. Tell whether the lines for the pair of equations are parallel, perpendicular, or neither. y = –2/3x + 1 2x – 3y = –3 (1 point) Unselected answer (0 pts) parallel Unselected answer (0 pts) perpendicular Correct answer (1 pt) neither 1 /1 point 39. Write the equation of a line that is perpendicular to the given line and that passes through the given point. y = –1/3x + 5; (4, 3) (1 point) Unselected answer (0 pts) y = –3x + 15 Correct answer (1 pt) y = 3x – 9 Unselected answer (0 pts) y = –4x + 3 Unselected answer (0 pts) y = –1/3x – 11 1 /1 point 40. Graph y = │x + 2│ (1 point) Unselected answer (0 pts) graph Correct answer (1 pt) graph Unselected answer (0 pts) graph Unselected answer (0 pts) graph 1 /1 point 41. Which graph represents the solution to the given system? y = –2x + 1 y = 1/2x + 6 (1 point) Unselected answer (1 pt) graph Unselected answer (0 pts) graph Incorrect Answer (0 pts) graph Unselected answer (0 pts) graph 0 /1 point 42. How many solutions does the system have? 12y = –3x + 20 y = –1/4x + 5/3 (1 point) Unselected answer (0 pts) one Incorrect Answer (0 pts) two Unselected answer (1 pt) infinite Unselected answer (0 pts) none 0 /1 point 43. Which inequality represents the graph below? graph (1 point) Unselected answer (0 pts) y ≥ 5 Unselected answer (0 pts) x ≥ 5 Correct answer (1 pt) y ≤ 5 Unselected answer (0 pts) x ≤ 5 1 /1 point 44. Bradley and Ryan are having a contest to see who can collect the most bumper stickers. Bradley started with 23 bumper stickers and plans to add 4 each month. Ryan has 9 bumper stickers and plans to add 6 each month. After how many months will they have the same number of bumper stickers? (1 point) Unselected answer (0 pts) 10 months Unselected answer (0 pts) 2 months Correct answer (1 pt) 7 months Unselected answer (0 pts) 51 months 1 /1 point 45. Which system is represented by the graph? graph (1 point) Correct answer (1 pt) 8x – y = 1 8x – y = –3 Unselected answer (0 pts) x – 8y = 1 x – 8y = –3 Unselected answer (0 pts) 8x – y = –1 8x – y = 3 Unselected answer (0 pts) x – 8y = –1 x – 8y = 3 1 /1 point 46. What is the solution of the system? y = x – 14 y = –4x + 11 (1 point) Correct answer (1 pt) (5, –9) Unselected answer (0 pts) 1 over 5 and – (69 over 5) Unselected answer (0 pts) 5 over 3 and – (37 over 3) Unselected answer (0 pts) – (3 over 5) and – (73 over 5) 1 /1 point 47. Which graph represents the given inequality? y > 4x – 2 (1 point) Unselected answer (0 pts) graph Correct answer (1 pt) graph Unselected answer (0 pts) graph Unselected answer (0 pts) graph 1 /1 point 48. What system of inequalities is represented by the graph? graph (1 point) Unselected answer (0 pts) y ≤ 3x – 4 5x + y ≤ 2 Unselected answer (0 pts) y ≥ 3x – 4 5x + y ≤ 2 Incorrect Answer (0 pts) y ≥ 3x – 4 5x + y ≥ 2 Unselected answer (1 pt) y ≤ 3x – 4 5x + y ≥ 2 0 /1 point The final score is 40/48 (83.3%).
is that directly from gradebook?