Pre-Algebra Semester 2 Practice Exam DRAFT

Transcription

1 . There are 0 yellow and purple marbles in a bag. If one marble is randomly picked from the bag, what are the odds in favor of it being yellow? A. : B. : C. :3 D. 3: 3. The data below shows the number of minutes players on a basketball team spent practicing free throws before the big game. Time Spent Practicing Free Throws (minutes) Which stem-and-leaf plot accurately displays the data?. Patrick ordered lunch at a sandwich shop. On the menu there were 3 bread choices, 3 meat choices, and 4 cheese choices. How many different sandwiches, consisting of bread choice, meat choice, and cheese choice, could Patrick order? A. 36 B. 4 C. 8 D. 0 A. B. Stem Leaf Key: 4 = 4 min Stem Leaf Key: 4 = 4 min C. Stem Leaf Key: 4 = 4 min D. Stem Leaf Key: 4 = 4 min GO ON

2 Use the plot below for questions 4 and. Pre-Algebra Semester Practice Eam The bo-and-whisker plot shows the test scores of the students in a math class. 7. The prices of nine backpacks are $43, $, $3, $3, $3, $3, $6, $67 and $37. What is the median price of the backpacks? 4. What is the interquartile range? A. B. C. 0 D Math Scores. What percent of student scores fall between 6 and 9? A. % B. 30% C. 0% D. 7% 6. The chart shows prices for two different brands of taffy. The pattern of prices continues for heavier bags. TAFFY PRICES Bag Weight Brand X Brand Y lb $3. $.7 lb $.7 $4.7 3 lb $8. $6.7 4 lb $0.7 $8.7 A. $3 B. $37 C. $4 D. $46 8. There are dogs in a dog show. If the judges are awarding one blue, one red, and one white ribbon, how many different ways could the ribbons be awarded? A. 36 B. 0 C. 30 D There are 8 possible toppings for an ice cream sundae. Carole may choose two different toppings for her sundae. How many different sundaes are possible? A. 6 B. 8 C. 6 D. 64 What is the cost of a 7-pound bag of Brand Y Taffy? A. $.7 B. $3. C. $4.7 D. $ GO ON

3 0. The Venn diagram below represents the numbers of students and the types of services they purchased for their cell phones.. A fair number cube is rolled two times. What is the probability an even number and then a number greater than 4 will be rolled? WEEKEND MINUTES UNLIMITED INTERNET A. 8 4 B UNLIMITED TEXT MESSAGING How many students purchased both unlimited tet messaging and unlimited internet? C. 4 D.. What is 40% of 00? A. 0 B. 30 C. 00 D. 300 A. 3 B. C. 8 D GO ON

4 3. The circle graph below shows the distribution of performing arts students who are in band, orchestra, or choir.. Jimmy got a raise that increased his $6 per hour wage to $8 per hour. What was the percent of increase in his hourly wage? Choir Orchestra Band A. % B. 33 % 3 C. 7% D. 33 % 3 A. B. 3 There are 300 students in the school. Approimately how many students are in choir? C. D is 7% of what number? A. 7 B. 36 C. 64 D The bill for dinner is $4. You leave an 8% tip. The sales ta is 7%. What is the total cost? A. $6.64 B. $8.3 C. $30.00 D. $ Sylvia deposits $00 into a savings account that earns % simple annual interest. Find the balance of the account after years. A. $0 B. $0 C. $0 D. $ GO ON

5 8. Which relation is a function? A. B. C. (, 4); (, ); (0, ); (, 3) D What is the range of the relation below? {( 6, ), ( 3, ), (, 4 ), (, ) } A. {,,, 4} B. {,,,, 3, 4,, 6} C. {, 3,, 6 } D. {, 4,, 7 } y y 0. Which equation matches the coordinates in the table below? A. y = 3 B. y = + y C. y = D. y =. Which ordered pairs represent the -intercept and y-intercept of the equation below? 3 y = 6 A. (, 0 ) and ( 0, 6) B. (, 0 ) and ( 0, 6 ) C. (, 0) and ( 0, 6) D. (, 0) and ( 0, 6 ) GO ON

6 . What is the slope of the line graphed below? y 4. A bicyclist travels at miles per hour. Which line best represents this scenario? Distance (mi) D C B A A Time (hr) B. 3 C. 3 D. 3 A. A B. B C. C D. D 3. What is the slope of the line that passes 3, and through the points ( ) (, )? A. 0 B. 4 C. 4 D. undefined GO ON

7 . Which graph below represents the given equation? 6. Identify the slope and the y-intercept of the line with the given equation: A. y = + y + 4y = 4 A. Slope is 4 ; y-intercept is 6 B. Slope is ; y-intercept is 6 4 C. Slope is 4; y-intercept is 6 D. Slope is 4; y-intercept is 6 B. y is between what two whole numbers? A. 98 and 00 B. 99 and 00 C. 4 and D. 3 and 4 8. A right triangle is shown below. C. y Figure is not drawn to scale. What is the value of? A. 6 D. y B. 9 C. 4 D GO ON

8 9. A rectangular photograph has side lengths of 7 inches and 3 inches. To the nearest inch, how long is the diagonal of the photograph? A. 6 inches B. inches C. inches D. 0 inches 30. Which correctly orders the numbers from least to greatest? A. < < 3.4< 6 B. < < 6 < 3.4 C. D. 6 < < 3.4< 6 < < < What are the coordinates of the midpoint of a line segment with the given endpoints? A. ( 3, 9) B. (,3 ) C. ( 6, 8) D. ( 0,6 ) ( 8, 6) and (, ) 3. What is the distance between the given points? A. B. C. D. 9 ( 3, ) and (, ) 33. An isosceles triangle has a perimeter of 0 meters. The length of the base is 6 meters. What are the lengths of the other two sides? A. 4 m, 0 m B. m, 9 m C. 6 m, 6 m D. 7 m, 7 m 34. The ratio of the angle measures in a triangle is ::6. Classify the triangle by its angle measures. A. acute B. equiangular C. obtuse D. right 3. A quadrilateral has 4 congruent sides and congruent obtuse and congruent acute angles. Which name below best classifies this figure? A. rectangle B. rhombus C. square D. trapezoid GO ON

9 36. What is the value of in the figure below? 38. What is the area of the circle shown below? 0 m Figure is not drawn to scale. A. 0 B. 60 C. 0 D Figure is not drawn to scale. A. 6π m B. 4π m C. 36π m D. 44π m 39. What is the surface area of the cylinder below? 37. What is the area of the trapezoid shown below? 4 m 3 m Figure is not drawn to scale. 6 cm 0 cm Figure is not drawn to scale. A. B. C. m 8 m 30 m 6 m A. 60π cm B. 7π cm C. 78π cm D. 90π cm D. 7 m GO ON

10 40. What is the volume of the cylinder below? A. 0π cm 3 B. 360π cm 3 C. 00π cm 3 D. 440π cm 3 4. Building plans for a swimming pool in the shape of a rectangular prism show a length of 0 feet, width of 0 feet, and depth of 4 feet. The contractor decides to increase the length by feet. How many more cubic feet of water will the new swimming pool hold? A. 00 ft 3 B. 800 ft 3 C. 000 ft 3 D. 800 ft 3 cm Figure is not drawn to scale. 4. Which epression below is not a binomial? 0 cm 43. Find the difference. ( 8) ( 9 6) A. 4 4 B. 4 C. 4 D Find the product. A. B. C. D. ( ) What are the net three terms in the sequence below? A.,, 9 B. 3, 7, C. 4, 8, D., 9, 3 3, 9,,, A. y B. + y C. y D. 3y GO ON

11 46. What are the net three terms in the sequence below? 3 3,, 3, 6, Parallel lines m and n are cut by transversal t. Find the measure of A. t A. 9,, B., 4, 36 C., 4, 48 6 A m n D., 4, Two angles are complementary. The measure of the first angle is twice the measure of the second angle. What is the measure of the smaller angle? A. 30 B. 4 C. 60 D Parallel lines m and n are cut by transversal t. Which statement is true? t A. 8 B. 6 C. 8 D What are the coordinates of M and N after MN is reflected across the -ais? y m n - N M A. 7 B. 6 7 C. 3 8 D. 6 - A. M (, ), N ( 4, ) B. M ( 4, ), N (, ) C. M ( 4, 0), N (, ) D. M ( 4, ), N (, )

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13 Free Response. The data below are the test scores of students in two different English classes. Class A: 30, 4, 0, 8, 60, 6, 70, 7, 76, 77, 79, 8, 83, 8, 96 Class B: 0, 6, 6, 70, 73, 74, 76, 78, 78, 79, 80, 8, 8, 8, 83 A. Create a bo-and-whisker plot for each set of data. Label each plot and any key points. B. Using the graphs you created, which class did better on the test overall? Eplain your thinking GO ON

14 Free Response. You and a friend are knitting a sock that will be inches long. Your friend knits the first inches then gives you the sock to finish. You knit at a rate of. inches per hour. A. Write and graph an equation that shows the length L if you knit h hours. Be certain to label the graph. B. Determine how many hours it will take you to complete the sock. Show your work GO ON

15 Free Response 3. Ann walks 9 blocks due west and blocks due north to get to school. She returns home along a diagonal path. A. Draw and label a diagram of Ann s route. Determine the distance of the diagonal path that Ann followed. Show your work. B. Dave bikes 7 blocks due south and then 36 blocks due east to get to school. Both Ann and Dave follow a similar shaped route. How many times greater is the diagonal distance Dave traveled compared to the diagonal distance Ann traveled? Eplain your thinking

16 PRE ALGEBRA 8 SEMESTER EXAM ITEM SPECIFICATION SHEET & KEY Free Response # Objective Syllabus Objective NV State Standard Make and interpret bo and whisker plots. Apply appropriate measures of data distribution, using interquartile range and central tendency. Represent relations and functions using graphs and find solutions of linear equations in two variables. Use Pythagorean s Theorem to find missing measures and 3 find unknown side lengths of similar figures. Multiple Choice Page of Revised: 0/0/09 Clark County School District # Objective Syllabus NV State Practice Objective Standard Key Find probabilities and odds B Use the counting principle to find probabilities A 3 Make and interpret stem and leaf plots...8. A 4 Apply appropriate measure of data distribution, using..8. interquartile range C Make and interpret bo and whisker plots...8. D Formulate inferences and predictions through 6 interpolation and etrapolation of data to solve practical C problems. 7 Describe measures of central tendency B 8 Use permutations or combinations to count possibilities C 9 Use permutations or combinations to count possibilities B 0 Determine the number of outcomes using Venn diagrams C Find compound probability...8. B Find the percent of a number C 3 Estimate with percents B 4 Solve percent problems using proportions and equations C Find the percent of change B 6 Solve percent problems involving markups, discounts, sales ta, and tips C 7 Calculate simple interest earned and account balances A 8 Identify functions using graphs, mapping diagrams, tables, ordered pairs D 9 Identify the domain and range of a relation A 0 Find solutions of linear equations in two variables D Determine the and y intercepts of a linear equation D Find the slope of a line A 3 Find and interpret slopes A 4 Translate between a verbal description and graphic representation of a function D Graph linear equations in slope intercept form D 6 Find the slope and y intercept of an equation A 7 Find and approimate square roots C 8 Use the Pythagorean Theorem to determine the measure of a missing side B 9 Use the Pythagorean Theorem to solve problems C Final Key

17 PRE ALGEBRA 8 SEMESTER EXAM ITEM SPECIFICATION SHEET & KEY Multiple Choice # Objective Syllabus NV State Practice Objective Standard Key 30 Compare and order real numbers D 3 Use the midpoint or distance formula B 3 Use the midpoint or distance formula D 33 Solve for angles and lengths of sides in triangles D 34 Solve for angles and lengths of sides in triangles; classify C 3 Classify polygons B 36 Find unknown angle measures using the sum of the interior angles of a polygon C 37 Find the perimeter or area of parallelograms or 4.7 trapezoids A 38 Find the circumference or area of a circle C 39 Find the surface area of a prism or cylinder C 40 Find the volume of a prism or cylinder B 4 Describe how changes in the value of one variable affect the values of the remaining variables in a relationship A 4 Identify and write polynomials D 43 Add and subtract polynomials B 44 Multiply a monomial and a polynomial A 4 Etend arithmetic and geometric sequences B 46 Etend arithmetic and geometric sequences C 47 Identify and find measures of complementary and 7. supplementary angles A 48 Identify and find measures of angles when a transversal intersects parallel lines A 49 Identify and find measures of angles when a transversal intersects parallel lines B 0 Translate, rotate, reflect or dilate figures in a coordinate plane D Final Key Page of Revised: 0/0/09 Clark County School District