Item Specification Sheet Algebra I Semester Exam

Transcription

1 Item Specification Sheet Algebra I Semester Exam Free Response: 1. Illustrating Mathematical Properties 2. Equations with Infinitely Many Solutions or No Solution 3. Relations and Functions 4. Application Problem Linear Equations 5. Writing Equations and Describing Slopes of Lines Multiple Choice: 1. Solving a Two-Step Equation 2. Continuing a Pattern 3. Interpreting an Application of a Linear Equation 4. Interpreting Slope & y-intercept 5. Calculating the nth Term of a Sequence 6. Graphing a Linear Inequality (two variable) 7. Solving an Inequality 8. Solving an Absolute Value Inequality 9. Solving an Absolute Value Equation 10. Interpreting the Solution Set of an Absolute Value Equation 11. Application Problem Solving Equations 12. Solving a Multi-Step Equation 13. Interpreting and Solving a Number Sentence 14. Solving a Multi-Step Equation (fraction) 15. Identifying Equivalent Equations 16. Finding x- and y-intercepts 17. Defining x- and y-intercepts 18. Finding Slope (from figure) 19. Interpreting Slope 20. Finding Slope (given two points) 21. Finding Slope (given graph) 22. Finding Slope (zero/undefined) 23. Finding Slope (parallel/perpendicular) 24. Solving a Literal Equation for a Given Variable 25. Evaluating a Function (function notation) 26. Graphing a Linear Inequality (one variable) 27. Graphing a Linear Equation (standard form) 28. Application Problem Linear Equation 29. Solve and Graph an Inequality on a Number Line 30. Solve and Graph an Absolute Value Inequality 31. Graphing a Linear Equation (slope-intercept form) 32. Identifying Whether a Relation is a Function (ordered pairs) 33. Identifying Whether a Relation is a Function (graph) 34. Writing a Linear Equation (given a table of values) 35. Solving a Compound Inequality 36. Solving a Compound Inequality 37. Writing and Solving an Inequality from a Number Sentence 38. Identifying Domain 39. Interpreting Relationships of Slope (parallel/perpendicular lines) 40. Graph and Calculate Slope of a Vertical Line 41. Writing an Equation of a Line 42. Interpreting a Scatter Plot 43. Identifying Mathematical Properties 44. Applying Mathematical Properties 45. Application Linear Equation (table of values) 46. Application Linear Equation 47. Identifying Like Terms 48. Identifying a Linear Function 49. Combining Like Terms 50. Writing an Equation of a Parallel/Perpendicular Line (Point-Slope Form)

2 Algebra I Practice Semester Exam Free Response 1. Write the Associative Property of Addition and illustrate with a specific example. 2. Describe what it means for an equation to have no solution. Give an example of an equation with no solution. 3. What is the difference between a relation and a function? 4. Write an equation for the following situation. The Silver Gym charges a one-time membership fee of $25 and $2 for every visit to the gym. Write an equation for the cost C if a member goes to the gym v times. 5. Write an equation of a vertical line. What is its slope?

3 1. What is the value of w in the equation 82 = 9w + 10? A. 2 B. 8 C. 63 D Tara is observing the growth of branches on a tree. 3. The equation below shows the cost of a taxicab ride, c, that goes m miles. c = 3.5m + 3 What happens to the cost of the taxicab ride if the distance increases by 2 miles? A. The cost goes up by $2.00. B. The cost goes up by $3.50. C. The cost goes up by $6.50. D. The cost goes up by $ What is the change to the graph of y = 3x 2 when the slope is changed to 1 3? A. The graph is flatter. B. The graph is steeper. C. There is no change to the graph. D. The graph rises from left to right. If the pattern continues, how many new branches will have grown in week 8? A. 21 B. 22 C. 33 D GO ON

4 5. What is the nth term of the sequence 2, 6, 12, 20,...? A. 3n B. n(n + 1) C. n 2 1 D. n The shaded region of which graph correctly represents 3y < 8x 6? A. C. B. D. 2 GO ON

5 7. Solve 6(2y + 7) 14 4y. A. y 7 B. y 7 C. y 7 8 D. y Solve 2x 3 < 7 for x. A. x < 5 B. x > 2 C. x < 5 and x > 2 D. x < 5 or x > 2 9. Which is the solution set of x = 9? A. { 4} B. {10} C. { 4, 10} D. {4, 10} 10. How many values for x can be substitued into the equation 5 4x 6 = 0 to make it true? 11. Amelia ran a total of 60 miles in the first 3 months of her new running program. She ran equal distances in the first and second months, but ran twice that distance in the third month. How far did she run in the third month? A. 15 miles B. 20 miles C. 30 miles D. 40 miles 12. What is the value of x if 15 2(x + 5) = 25? A. 15 B. 10 C. 10 D If 4 more than 3 times a number is 7, what is the number? A. B C. 1 A. 4 B. 2 D C. 1 D Solve: 18x = 4(4 2x) A. x = 26 5 B. x = 21 5 C. x = 2 D. x = 14 3 GO ON

6 15. Which of the following equations is equivalent 18. The bank of a lake is shown below. to 2(5m + 4) = 7m m? A. 10m + 4 = 6m B. 10m + 8 = 6m C. 10m + 4 = 7 D. 10m + 8 = What are the x- and y-intercepts for 2x + 3y = 12? A. ( 6, 0) and (0, 4) B. ( 4, 0) and (0, 6) C. (4, 0) and (0, 6) D. (6, 0) and (0, 4) 17. Which generalization about the y-intercept for any equation is correct? A. The y-intercept is located at the origin. B. The y-intercept is the point located on the x-axis. C. The y-intercept is the value of x when y is set equal to 0. D. The y-intercept is the value of the equation when x equals 0. A. B. What is the approximate slope of the bank? C. 3 D. 5 4 GO ON

7 19. What does the slope of the graph below represent? 21. What is the slope of the line on the graph? A. number of miles traveled B. gallons of gas used C. miles per gallon D. speed of vehicle 20. What is the slope of the line that contains points ( 3, 5) and (2, 7)? A. 2 B. 1 2 A. 2 B. 1 2 C. 1 2 D What is the slope of the line that passes through the points (a, b) and (c, b)? C. D A. b B. c a C. 0 D. undefined 5 GO ON

8 23. What is the slope of a line that is perpendicular to the graph of A. 5 3 y 4 = x? 25. If f (x) = 3x , what is f ( 7)? A. 137 B. 32 C. 52 D. 157 B. 3 5 C. D The formula for the area of a trapezoid is A = h 2 (b 1 + b 2). Which equation correctly describes the height, h? A. h = B. h = A 2(b 1 + b 2 ) 2A b 1 + b 2 C. h = 2A b 1 b 2 D. h = A 2 b 1 b 2 6 GO ON

9 26. Which of the following is the graph of x 3 < 0? A. C. B. D. 7 GO ON

10 27. Which graph represents x 2y = 6? A. C. B. D. 28. Hope uses the equation C = 3h + 9 to find the total cost, C, in dollars, of renting a bike for h hours. If Hope does not spend more than $30, what is the maximum number of hours she can rent the bike? A. 18 B. 13 C. 10 D. 7 8 GO ON

11 29. Which number line represents the solution of 1 2 b 4? A. B. C. D. 30. Which number line represents 2x + 1 < 5? A. B. C. D. 9 GO ON

12 31. Which graph represents the equation y = 3 10 x + 5? A. C. B. D. 10 GO ON

13 32. The following ordered pairs (x, y) define the relation Q. Is Q a function? {( 2, 1), ( 1, 2), (1, 1), (2, 1)} 34. The advisable amount of food that should be consumed during a 24-hour period by a kitten that weighs about 1 pound is shown in the table below. A. Yes, because there is exactly one y-value for every x-value. B. Yes, because there is exactly one x-value for every y-value. C. No, because there is more than one x-value for some y-values. D. No, because there is more than one y-value for every x-value. 33. The graph below displays a relation between x and y. Which equation describes the relationship shown in the table? A. 2 3 h = t B. 1.5h = t C. t + 4 = h D. h + 6 = t This relation does NOT define y as a function of x because A. the relation is not linear. B. points (2, 2) and (3, 2) have the same y-value. C. points (3, 2) and (3, 3) have the same x-value. D. several points have equal x- and y-values. 35. Which of these inequalities expresses all the solutions to 4 8 x < 10? A. 10 < x 4 B. 2 < x 4 C. x < 2 or x 4 D. x < 10 or x 4 11 GO ON

14 36. Which of the following expresses all numbers that are solutions for the compound inequality below? 2(y 6) 8 and y 38. Which of the following represents the domain for the graph below? A. no solution B. 1 and 10 C. 1 y 10 D. y 1 or y Twice a number x minus 4 is at least 8 and no more than 16. What are the values of x that satisfy these conditions? A. x = 2 B. x = 6 C. 6 x 8 D. 6 x 10 A. {x 0} B. {0, 1, 2, 3, 4} C. { 4 x 3} D. { 4, 2, 0, 1, 3} 12 GO ON

15 39. What do the two lines graphed below appear to have in common? 40. What is the slope of the line on the graph below? A. the same slope B. the same equation C. the same x-intercept D. the same y-intercept A. 2 B. 0 C. 2 D. undefined 41. What is the equation of a line that has a slope of zero and goes through (2, 5)? A. x = 2 B. x = 5 C. y = 2 D. y = 5 13 GO ON

16 42. Mr. Vail surveyed 10 of his students to find the amounts of time they spent watching television (TV) and the amounts of time they spent online last week. For each activity, he ranked the students using the numbers 1 to 10 to represent the rank order from least amount of time to greatest amount of time spent on the activity. The scatter plot below shows Mr. Vail s results. 43. Which property is illustrated below? 7(3 5) = (7 3)5 A. commutative property B. associative property C. distributive property D. identity property 44. A math book says to multiply mentally, one could find the sum and Which property is used in this approach? A. distributive property B. multiplicative identity property C. commutative property of addition D. associative property of multiplication Which statement BEST describes the relationship represented by the scatter plot? A. No student had the same ranking for online hours and television hours. B. There is no correlation between the hours spent online and the hours spent watching TV. C. There is a positive correlation between the hours spent online and the hours spent watching TV. D. There is a negative correlation between the hours spent online and the hours spent watching TV. 14 GO ON

17 45. Cab fares in the downtown area of a major city are 10 per minute plus a $4 fee. Which table shows this relationship between total cab fare and number of minutes? A. B. C. D. 46. The drama club sold tickets to a play for $5 each. They also made $55 in soda and popcorn sales. If the drama club made a total of $290, how many tickets were sold? A. 47 B. 58 C. 69 D Which are like terms in this expression? A. 7 and 7a B. 12 and 12a C. 7 and 12b D. 7a and 12a 12a 7 + 7a + 12b 48. If x = 1, 2, 3, 4,... which pattern of y values completes a linear function? A. y = 0, 1, 8, 27, B. y = 1, 2, 4, 7, C. y = 1, 3, 9, 27, D. y = 2, 5, 8, 11, 49. Tony scored n points in the first basketball game of the season. The expression below represents the total number of points that Tony scored in the first three basketball games of the season. (n) + (2n) + (2n 3) Which expression is equivalent to Tony s total number of points scored in the first 3 games? A. 2n B. 12n C. 4n 3 D. 5n 3 15 GO ON

18 50. Which equation represents the line that contains the point ( 3, 14) and is parallel to the line represented by 2x + y = 5? A. y 14 = 2(x + 3) B. y 3 = 2(x + 14) C. y + 3 = 2(x 14) D. y + 14 = 2(x 3) 16 STOP

19 Algebra I Practice Semester Exam 1 B 26 A 2 A 27 A 3 D 28 D 4 A 29 D 5 B 30 C 6 C 31 D 7 B 32 A 8 C 33 C 9 C 34 A 10 C 35 B 11 C 36 A 12 B 37 D 13 B 38 D 14 D 39 A 15 B 40 D 16 D 41 D 17 D 42 D 18 C 43 B 19 C 44 A 20 D 45 C 21 A 46 A 22 C 47 D 23 B 48 D 24 B 49 D 25 D 50 A