Practice Test 1 BLACKLINE MASTERS Name Date Chapter 1: The Number System Answer the questions that follow. 1. Which of the numbers below is not irrational? A. 5 C. 2 9 B. D. 1.34344344434444 2. Which of the lists below is in order from least to greatest? A. 3,, 3 C. 3,, 3 B. 4,, 4 D., 4, 4 3. On the real number line, between which two consecutive integers is the square root of 11? Peoples Education Copying is permitted. Practice Test 1 1
2 Mathematics Level H Copying is permitted. Peoples Common Core Mathematics
Chapter 2: Expressions and Equations Answer the questions that follow. 4. Which of the following is equivalent to the expression below? (4 6 )(4 8 ) A. 4 14 C. 4 2 B. 4 2 D. 4 48 5. What is the solution set of the equation below? x 2 5 36 A. { 72, 72} C. {6} B. {18} D. { 6, 6} 6. In 2009, the population of the Earth was about 6,790,000,000. What is 6,790,000,000 written in scientific notation? A. 6.79 10 7 C. 6.79 10 9 B. 6.79 10 8 D. 6.79 10 10 7. Write the product below in scientific notation. (4.5 10 7 )(2 10 3 ) A. 9 10 21 C. 6.5 10 10 B. 9 10 10 D. 2.25 10 4 Peoples Education Copying is permitted. Practice Test 1 3
8. Kate is organizing a walk-a-thon at her school to raise money for a charity. She needs to buy bottles of water to give to the walkers. One vendor proposes to sell her water bottles based on the cost outlined in the graph below. Based on the graph, what is the price for one bottle of water? A. $0.25 C. $1.00 B. $0.40 D. $4.00 4 Mathematics Level H Copying is permitted. Peoples Common Core Mathematics
9. Which of the following equations represents the line in the graph shown below? A. y 5 3x 1 4 C. y 5 1 3 x 1 4 B. y 5 4x 1 3 D. y 5 1 3 x 1 4 10. Which equation has one solution for x? A. 16 1 x 5 14 1 x C. 76 5 3x 10 B. 7 5 4 1 3 D. 10x 1 4 5 2(2 1 5x) Peoples Education Copying is permitted. Practice Test 1 5
11. Solve the equation below. 5 6 x 1 6 5 28 x 12. What is the value of the expression below when x 5 9 and y 5 8? 2 x 1 5 y A. 8 C. 20 B. 16 D. 21 3 6 Mathematics Level H Copying is permitted. Peoples Common Core Mathematics
13. What is the solution to the system of linear equations graphed below? A. (0, 14) C. (6, 8) B. (7, 0) D. (7, 7) Peoples Education Copying is permitted. Practice Test 1 7
14. What is the solution to the system of linear equations below? 4x 1 8y 5 10 4x 1 8y 5 10 15. Charles buys 10 drinks and 3 sandwiches for $34. Isabel buys 5 drinks and 4 sandwiches for $37. They want to determine the cost of each item. Write a system of linear equations to model the problem. Let d equal the cost of each drink and let s equal the cost of each sandwich. Solve the system algebraically. How much does each item cost? 8 Mathematics Level H Copying is permitted. Peoples Common Core Mathematics
Chapter 3: Functions Answer the questions that follow. 16. Rachel is a professional dog walker. She charges each customer $12 per hour, plus a fixed fee of $10 for picking up the dog, as represented by the equation below. y 5 12x 1 10 What does the variable x represent in the equation? A. the total cost of walking a dog B. the fixed fee for picking up the dog C. the amount Rachel charges per hour D. the number of hours Rachel works 17. Which rule could not represent a function? A. Multiply the input by five and add fourteen to get the output. B. The output is the square of the input. C. The absolute value of the output equals the input. D. No matter what the input, the output equals ten. Peoples Education Copying is permitted. Practice Test 1 9
18. Two different functions are shown below. Which function has the greater rate of change? 10 Mathematics Level H Copying is permitted. Peoples Common Core Mathematics
19. James went to a water park where he had to pay an entrance fee and then buy tickets for each ride. The graph below shows James total cost, c, to go on r rides. Based on the graph, which of the following statements is true? A. As the value of r increases, the value of c increases. B. As the value of c increases, the value of r decreases. C. As the value of c decreases, the value of r stays the same. D. As the value of r decreases, the value of c stays the same. Peoples Education Copying is permitted. Practice Test 1 11
20. Adrian s monthly cell phone bill is based on a fixed monthly fee and a fee for each minute of calls he makes. Last month, his bill was $78 for 430 minutes of usage. Two months ago, his bill was $51.20 for 162 minutes of usage. The graph below represents the amount he is charged each month based on the number of minutes he uses. What is the y-intercept of the line represented by the graph? Explain what the y-intercept tells us about Adrian s monthly charge. What is the slope of the line represented by the graph? Explain what the slope tells us about Adrian s monthly charge. If Adrian uses his cell phone for 225 minutes next month, what will his monthly charge be? Show or explain how you got your answer. 12 Mathematics Level H Copying is permitted. Peoples Common Core Mathematics
Chapter 4: Geometry Answer the questions that follow. 21. Lindsay draws triangle ABC so that its vertices are at points A (5, 3), B (1, 7), and C (4, 2), as shown on the coordinate graph. She reflects triangle ABC across the x-axis to form triangle A B C. What are the coordinates of point A, point B, and point C? A. A (5, 3), B (1, 7), C (4, 2) B. A ( 5, 3), B ( 1, 7), C ( 4, 2) C. A ( 3, 5), B ( 7, 1), C (2, 4) D. A ( 5, 3), B ( 1, 7), C ( 4, 2) Peoples Education Copying is permitted. Practice Test 1 13
22. The coordinate plane shown below has Figure H in the fourth quadrant and its image, Figure H, in the second quadrant. Which of the following sequences of transformations would result in the image shown? A. reflecting Figure H across the y-axis and then translating it up B. rotating Figure H 180 and then reflecting it across the x-axis C. translating Figure H up and then translating it left D. reflecting Figure H across the y-axis and then reflecting it across the x-axis 14 Mathematics Level H Copying is permitted. Peoples Common Core Mathematics
23. Triangle ABC is translated 2 units up and 2 units left to create its image, Triangle A B C, as shown in the coordinate graph below. Which of the following is not a true statement about the transformation? A. Line segment AB and line segment A B have the same length. B. C and C have the same measure. C. Line segment BC is parallel to line segment B A. D. The perimeter of triangle ABC equals the perimeter of triangle A B C. Peoples Education Copying is permitted. Practice Test 1 15
24. Triangle 1 is dilated to create Triangle 2 in the graph below. Which statement about the dilation is true? A. Triangle 1 is similar to Triangle 2. B. Triangle 1 is congruent to Triangle 2. C. The sum of the angles in Triangle 2 is twice the sum of the angles in Triangle 1. D. Triangle 2 is larger than Triangle 1 by a scale factor of 3. 16 Mathematics Level H Copying is permitted. Peoples Common Core Mathematics
25. Clara has three copies of the same triangle as shown below. She arranges the triangles so that the sum of the three angles appears to form a straight line. Clara uses what she knows about the angles formed when parallel lines are cut by a transversal. Give an argument in terms of transversals to show that the sum of the three angles does, in fact, form a straight line. Does your argument work for every triangle? Draw a different triangle below. Copy it twice, attempting to arrange the three triangles so that the sum of the three angles appears to form a straight line. Does your argument from the previous question hold true in this case? Explain. Peoples Education Copying is permitted. Practice Test 1 17
26. Which of the sequences below cannot be the side lengths of a right triangle? A. 5, 4, 3 C. 17, 8, 9 B. 6, 10, 8 D. 1, 1, 2 27. What is the length of the diagonal of a rectangle with a width of 10 cm and a length of 24 cm? A. 21.8 cm C. 26 cm B. 25 cm D. 34 cm 28. What is the distance between the two points graphed below? A. 10.9 units C. 14 units B. 13 units D. 18 units 18 Mathematics Level H Copying is permitted. Peoples Common Core Mathematics
29. A cylinder and a cone have the same volume. If the radius of both is 5 centimeters and the height of the cone is 15 cm, what is the height of the cylinder? 30. A gift box is in the shape of a rectangular prism as shown. What is the volume of the gift box? A. 432 cubic inches C. 144 cubic inches B. 288 cubic inches D. 72 cubic inches Peoples Education Copying is permitted. Practice Test 1 19
31. Parallel lines l and m are intersected by transversal t as shown in the figure below. If the measure of 1 is 48, what is the measure of 2? A. 42 C. 132 B. 48 D. 142 32. Parallelogram PQRS is shown on the coordinate plane below. What are the coordinates of the images of points P, Q, R, and S after the parallelogram is translated 7 units down? 20 Mathematics Level H Copying is permitted. Peoples Common Core Mathematics
Chapter 5: Statistics and Probability Answer the questions that follow. 33. In the Oakbridge school district, there is a negative correlation between a student s grade level and the average number of school announcements sent home each week. Which of the following scatter plots best represents this correlation? A. C. B. D. Peoples Education Copying is permitted. Practice Test 1 21
34. Claudio s math teacher graphs the relationship between a student s study time and his or her test score. She then creates a line of best fit as shown below and determines that the slope of the line of best fit is 1 2. Based on the teacher s graph, if Claudio studies for an additional ten minutes, how will his test score be affected? 22 Mathematics Level H Copying is permitted. Peoples Common Core Mathematics
35. Karen graphed ten points on a scatter plot and then drew the line of best fit. Which graph best represents the line of best fit for the data? A. C. B. D. Peoples Education Copying is permitted. Practice Test 1 23
36. Yanthia measured the height and foot length of eight of her female friends as shown in the table below. She noticed that there was a relationship between height, h, and foot length, f. Draw a scatter plot on the coordinate plane below that shows the relationship between height and foot length. Plot each point as (height, foot length). Find the line of best fit that best estimates the relationship between height and foot length. Draw this line on the graph, and then give the equation of the line. 24 Mathematics Level H Copying is permitted. Peoples Common Core Mathematics