Worksheet a KMA 8Th Grade

Worksheet G KMA 8th Grade: KANSAS MATH ASSESSMENT prep Name______

For the following questions you do not need to restate the questions, but you do need to show your work on all that work is possible for (be certain to indicate how you knew the answer).

1. (2.3.a3) 2 points. Mae paid a total of $ 20 for materials to make refrigerator magnets. She is going to sell them for $2 apiece. Mae wrote the equation y = 2x – 20 to show how much money she could earn (y) based on the number of magnets she sells (x). Choose the correct table that shows how much Mae could earn. EXPLAIN

x 3 7 11 15 x 3 7 11 15 a y -28 -26 -18 -10 b. y 14 6 -2 -10

c. x 3 7 11 15 d. x 3 7 11 15 y -14 -6 2 10 y 26 34 42 50

2. (2.3.a3) 2 points. For her birthday, Monica wants to take her friends to the movies. Tickets cost $6.50 each and she will provide a total of $20.00 for snacks. Which graph shows the relationship between the total cost (y) of the evening at the movies and the number of people (x) attending?

4 graphs

3. (3.4.k1) 2 points. Which of the points below is not a solution of the problem above (represented by the equation y = 20 + 6.50x. SHOW PROOF

a. (2,33) b. (3,39.5) c. (6,79) d. (12,98)

4. (2.3.a3) 2 points. Talent Taxi has an initial charge of $2 and then $1.25 per mile. Paul has 10$ to spend. At this rate which equation below describes the relationship between the distance in miles (x) and the cost of the taxi ride (y)? EXPLAIN

x y a. y = 1 + 3.25x 1 3.25 b. y = 1.25x + 2 5 8.25 c. y = 1 + 5x 10 14.50 d. 10 = 1.25 + 2 15 20.75 5. 20 27.00 (1.4.a1) 2 points. A construction crew working on a new hotel must lay a total of 25,200 ft2 of tile in the bathrooms. The supervisor determines the crew is 3/8 finished laying the tile. How many more square feet of tile (rounded to the nearest tenth if necessary) still needs to be laid? SHOW WORK 6. (4.1.k3) 2 points. Nathan will roll two normal 6-sided dice. What is the probability that he will roll a number less than three on the first die and a number greater than three on the second die? Express your answer as a common fraction. SHOW WORK

7. (4.1.k3) 2 points. Maria spins the spinner twice. All three of the larger sectors are equal in area and have central angles of 90 degrees. The two smaller sectors have an equal area. What is the probability that she will “WIN” on both spins? Express your answer as a common fraction. SHOW WORK

8. (4.1.a4) 2 points. A pair of six-sided dice is rolled simultaneously 1000 times, and the sum is recorded. Use the theoretical probability of the sum being a multiple of three to predict how many times you would expect the sum to be a multiple of three? Express your answer to the nearest whole number. SHOW WORK

3y 2  4y 9. (1.4.k2) 2 points. What does equal if y = 22 ? SHOW WORK 5y

a. 2 b. 2y c. 3y2 d. 20

10. (1.4.a1) 2 points. A bug (by the name of Diz E. Bug) crawls at a rate of 14π unit per hour around a circle with a radius of 3.5 units. How many hours does it take Diz E. to complete 26 revolutions of the circle? SHOW WORK

a. 49 b. 91 c. 22.75 d. 13

11. (1.4.a1) 2 points. A bike’s front wheel has a 2-feet radius. How many revolutions does the wheel make in a one-mile trip? (5,280 feet = 1 mile) Express your answer to the nearest whole number. SHOW WORK

12. (1.4.a1) 2 points. The sum of the area of the six congruent circles is 150π cm2. What is the area of the rectangle? SHOW WORK

13. (3.1.a1) 2 points. The marble statue of Abraham Lincoln in the Lincoln Memorial has a height of 60 feet. A scale model of the statue has a height of 4 inches. How many feet on the statue does 1 inch of the model represent? SHOW WORK 14. (3.1.K6) 2 points. A 40 ft tree is cut 10 from the base. The tree falls to the ground with the top of the tree hitting the ground and the bottom of the cut still attached to the tree. How far will the top of the tree be from the base to the nearest tenth of a foot? SHOW WORK

a. 80 ft b. 38.7 c. 31.6 d. 28.3 pic

15. (1.4.a1) 2 points. The circle graph shows the result of a 2002 survey of 4050 people. How many people chose Billy Crystal as the best Oscars host? SHOW WORK

16. (1.4.a1) 2 points. Lotta Dough used a $100 bill to pay for two books that cost $11.98 each, two videos that cost $14.49 each and miscellaneous school supplies that cost $24.17. If the tax rate is 7.25%, how much does Lotta receive in change from her $100? SHOW WORK

17. (1.4.a1) 2 points. An automobile insurance company has compiled data from a survey of 1000 16- year-old drivers during the year 2003. According to the results below, what percent of them have had at least two accidents? Round your answer to the nearest tenth. SHOW WORK

18. (1.4.a1) 2 points. Cal Ripkin Jr. played in 2632 consecutive baseball games. During this time, he was at bat 10,221 times, and his batting average was .277 meaning that he got a hit 27.7% of the times he was at bat. How many hits did Cal Ripkin Jr. get during this time period? Express your answer to the nearest whole number. SHOW WORK

19. (1.4.a1) 2 points. At Martha’s Mothball Antiques, a group of Barry Manilow shirts was not selling. Martha decided to mark the price of each shirt down by 35%. The discounted price for each shirt is now $26. What was the original price of the shirt? SHOW WORK 20. (1.4.a1) 2 points. A square and a triangle have the same area. If the square has a side length of 6 units, and the triangle has a base of 8 units, what is the length of the height of the triangle? SHOW WORK

a. 9 b. 4.5 c. 3 d. none of these

21. (1.4.a1) 2 points. Harold had a bag of marbles. He gave 40% of the marbles to his best friend Suzanne. He gave his sister, Phyllis one-fourth of the remaining marbles. There were then 18 marbles left in the bag. How many marbles did Harold originally have prior to losing his marbles? SHOW WORK

22. (3.4.k1) 1 points. A problem in Robin’s math books asks her to graph the line y = -2x + 5. However, there is a misprint in her book; it should read y = -2x + 50. Which statement describes how the graph of y = -2x + 5 compares to the graph of y = -2x + 50?

a. The y-intercept of y = -2x + 5 is less than the y-intercept of y = -2x + 50. b. The y-intercept of y = -2x + 5 is greater than the y-intercept of y = -2x + 50. c. The slope of y = -2x + 5 is steeper than the slope of y = -2x + 50. d. The slope of y = -2x + 5 is less steep than the slope of y = -2x + 50.

23. (3.4.k1) 1 points. Which line is correctly represented by the equation y = -3/4 x – 3 ?

24. (3.4.k1) 1 points. Identify the slope of the line in the graph below.

a. 2/3 b. 3/2 pix c. -2/3 d. -3/2

25. (4.2.k3) 1 points. A veterinarian weighs animals before they are examined. The plots below are based on the weights of 14 dogs the vet examined on two different days. Which statement about the weights of the dogs is true?

a. The median weight of the dogs was the same on day 1 and 2 b. The range of weights was less on day 1 than on day 2. pix c. The lower quartile value was the same on day 1 as on day 2. d. There were 4 outliers on day 2.