STAAR Mixed Practice HW

Transcription

1 Show all work and label units of measurement. 1. The equation y = x + 7 represents a linear relationship that is non-proportional. What change could you make to the equation to make it proportional? Name: 6. Which of the following fractions is greater than 1/ but less than 5/8? a. 3/8 b. 4/7 Page 1. Which point satisfies the conditions x > 3 and y < -1? a) ( 5, ) c) ( 3., 0 ) b) ( 4, - ) d) (.5, -4 ) c. 3/7 d. /4 7. Triangles MNQ and MOP are similar. Find the length of QP O N 6cm 4cm M 8cm Q P 3. Determine which of the following relation(s) is a function a. b. c. 8. Which expression should go next in this pattern? x 4x 8x 3 16x 4 4. Use the formula I = prt to find the interest (I) when the Principle (p) is $,000, the rate (r) is 6% and the time (t) is 4 years. 9. Joey created a wooden box in the shape of a cube. If the side length of the box is 3.5 ft, what is its volume? 5. The scatter plot shows the temperature of the water inside a kettle for the first 7 minutes. What is the best prediction for the water temperature at 9 min.? 10. The graph shows the distance a car travels at a constant speed. Estimate the distance traveled after 3.5 hrs.

2 11. At the local hospital 40% of the doctors are women. If there are 34 women doctors, how many doctors are there total? 16. Joe takes between 5 and 30 minutes to ride his bicycle 5 miles What would be a good estimate of how many hours it will take him to ride 30 miles? a. 5.7 hrs. b. 4.6 hrs. c. 3.3 hrs. d..8 hrs. 1. Given a right triangle with sides of a and b and hypotenuse of 4 inches, which of the following equations is correct? a. a = b = 4 b. a 4 = c c. 4 b = a d. a b = What is the lateral surface area of this cube? 4.5 cm 13. A rectangular piece of fabric has a length that is.5 times longer than its width. If the fabric is 75 cm long, what is the area of the fabric? 18. Function? Yes or No x y According to this box plot, 50% of the students are at least inches tall. 19. How much shorter is the shortcut than walking around the park? start shortcut Student s Heights 30 yd 40 yd end 15. Simplify (-14) 7 0. What is the equation of the linear relationship represented in the table? x y

3 Show all work and label units of measurement. Name: Page 3 1. Which integer is closest to The length of one of the legs in a right triangle is missing. Which of these formulas could you use to find its length? a) c = a + b c) b = a c b) b = c a d) b = c a. A tree breaks and falls as shown. What was the height of the tree before it fell? 7. The diameter of the Sun is approximately 1,39,000,000 m. What is this diameter expressed in scientific notation? 3. What is the surface area of a prism with the following dimensions: l = 5 in w = 10 in h = 15 in 4. What scale factor was used to dilate the following figures from large to small. 8. Find the area of the shaded portion. Use 3.14 for. 3ft. ft. 9. Kendra made a down payment of $1,500 and will make 36 payments of $16.50 to buy a car. What is the total amount of money Kendra will pay? 5. What is the value of a, the side length of the smallest square? 10. Reflect the following figure across the y-axis. 36 b c 100 a

4 11. A triangle has a perimeter of 0 units. If all the sides are doubled what will be the measurement of the new perimeter? 16. Arrange the following numbers on the number line below: / /8 1. Tickets for a music concert were sold at a rate of 500 tickets in 0 min. At this rate, how many tickets will be sold in m minutes? 17. If all the sides of a cube are reduced by a scale factor of 1/3, the volume of the new cube will be times smaller than the volume of the original cube. The graphs below represent the same information. Use them to answer # 13 and # By how much did sales increase between February and May? 14. Both graphs represent the same information, yet look different. Why? teens receive allowances of $15, $18, $18, $0 and $75 per week. Kapil, who gets $15, wants to negotiate a new amount. Which measure of central tendency should he use to support his argument? a) the mode c) the median b) the mean 19. The coordinates for the vertices of a triangle are given below. Find the new coordinates of vertex A after the translation (x,y) (x + 4, y 3). A (1,-5) B(-,6) C (0,5) 15. Find the lateral surface area of the net shown below. 5 cm 0. Use the expression: n (n -1) to complete the table in this sequence. Position Value of Term 8 cm

5 Temp Show all work and label units of measurement. Name: Page 5 1. Daren can read 40 pages of a book in 1 hr. and 15 min. At this same rate, how many pages will she read in 4 hrs. and 30 min.? 6. Cheri bought 3 hot dogs for $1.5 each, bags of Hot Cheetos for $0.75 each and 4 cans of Dr. Pepper for $1.00 each. Write an expression that can be used to find c, the total cost of her purchases.. Write in scientific notation. 7. Write 41,500,000 in scientific notation. 3. Find the new coordinates of vertex B after the dilation: (x,y) ( ½x, ½y) 8. Which best describes the trend shown in the scatter plot? A (1,-5) B(-,6) C (0,5) 4. Evaluate a - 5b when a = 3 and b = -7 a) positive trend b) negative trend c) mean trend Volume d) no trend 9. Find the volume in cubic inches Graph the linear relationship represented by the table given below. x y At a the football championship game there were 5 out of the 600 students in a school. What percentage of the student body did not attend the game?

6 11. Triangles RST and MNO are similar. Find the length of RT 16. What is true about the values of x and the values of y in every coordinate pair found in S 4.5 cm R N 3cm 7 cm M 8 cm O T Quadrant III? 1. Ms. Slocum can grade 1 Practice Sheets in 8 minutes. If she continues at the same rate, how many Practice Sheets will she grade in the next 10 minutes? 17. The average of Amy s first three tests is an 85. If she makes a 100 on the next test, what will be her new test average? 13. Write the equation of the trend line. 18. Kiki can type 40 words in 4 minutes. Which equation can be used to find w, the number of words she can type in 14 minutes? 40 4 a) w (4) c) w 14 14(40) b) w (14) d) w 4 4(40) 14. Given the coordinates for the vertices of a triangle: 19. The surface area of a cube is 16 cm. What is the length of A (1,-5) B (-,6) C (0,5) Find the new coordinates of vertex C after the dilation (x,y) (x, y). 15. Which of the following irrational numbers is closest to 5? each side? 0. What is the distance traveled during 3 full rotations of a wheel that has a radius of 10 ft. Use 3.14 for. a. 30 b. 5 c. 6 d. 50 b

7 Show all work and label units of measurement. Name: Page 7 1. Below are the top, right, and front view of a figure. Which solid figure best represents these views? 6. On a recent quiz, all students did well, except for one student who scored a 0. Which measure of central tendency will be most affected by this low score? a) the median b) the mode c) the mean. Write two equivalent expressions that can be used to used to find the total area of the rectangle below. 7. A box has an volume of 15 in 3. If all the dimensions are doubled, what will be the volume of the new box? 5 x 6 3. Rewrite the following in order from least to greatest. 8. If 4 pencils cost d dollars, how much will 1 pencil cost? - 7.3, , 16, 1,.8 a. dp b. 4 = dp c. p 4d d. d 4 4. The expression n + (n + 1) describes a pattern of numbers. If n represents the position of a number in this sequence, what are the first 5 numbers in this sequence? 9. All the dimensions of a 30 x 0 rectangle are halved. The area of the new rectangle is what fraction of the area of the original rectangle? 5. Daniel needs $199 to buy an ipod. He has $45 and will save $15 every week. He calculates that it will take him 10 weeks to collect enough money. Is he correct? Explain. 10. What are the coordinates of the image of point B (-4, -) after the translation (x,y) (x + 4, y + 7)

8 11. One gram is approximately 0.00 pounds. Write this number in scientific notation. 16. Wajiha babysits and charges $8 per hour plus $5 for the cost of craft materials. How much will Wajiha earn if she babysits for 6 hours and 15 minutes? 1. What scale factor was used to dilate the triangles from large to small? 17. Dilate the figure so that each vertex, (x,y), becomes (x, y). y x 13. What is the perimeter of the figure below: 18. The base of a ladder leaning against a house is 10 ft. from the the wall. If the ladder reaches 4 ft. high on the wall, how long is the ladder? 14. What is the total surface area of a cylinder with a diameter of 6 cm and a height of.5 cm? 19. Is a triangle with sides of 1, 16, and 0 a right triangle? Show work to prove your answer Cinemark has a group promotion whereby the first 8 87, 70, 86, 96, 80, 89, 9, 94, 74, 90, 80, 90, 84 tickets cost $7.50 each, but every ticket after that costs $5.5. Write an expression to find the cost (c) of 1 tickets. Min Median Max LQ UQ

9 Show all work and label units of measurement. Name: Page 9 1. It took Phillip 8 hours to mow 6 acres of grass. How long will it take him to mow 30 acres of grass? 6. If the diagonal distance of a rectangle is 150, then the length of the diagonal is between what two consecutive whole numbers?. The square root of 110 is between what two consecutive whole numbers? 7. Solve: 1 15x 4x 1 3. Two ladders are leaning against a wall at a same angle. How far up the wall does the shorter ladder reach? Danny used the formula t = 1.15m to calculate the total cost of a meal (incl. the tip). If her order was $15, what was the total cost of her meal? Use the graph of the linear relationship given to complete the table. x -4 y The expression n 1 4 describes a pattern of numbers. If n represents the position of a number in this sequence, what are the first 5 numbers in this sequence? 9. A class recorded the following temperatures: 7º 6 º 58 º 65 º 6 º 68 º 54 º Find the measures of central tendency: Mode Median Mean 10. Each side of a square is tripled. Therefore, the area of the new square is times bigger than the area of the original square.

10 11. Mrs. Sablick purchased 3 calculators and paid $ If each calculator was $0.00, what was the tax rate (as a percent)? 16. A recipe calls for 3/4 cups of sugar and 3 cups of flour. If we increase the flour to 4 cups, how much sugar do we need? 1. The triangles are similar. Find the length of y. 17. Solve. (3x 7) = 10x cm cm y 5 cm 5 cm.5.5 cm cm 13. If the price of a shirt is decreased from $40 to $8, what is the percent of decrease? 18. Give the slope of the line that contains (1, -8) and (6, -9). 14. The hypotenuse in a right triangle is missing. Which expression could be used to find this length? 19. a) c a b c) a + b b) c a d) c a 15. A mail sorter can sort between 30 and 35 letters per minute. What would be a reasonable estimate of the number of letters it can sort in one hour? a. Between 100 and 1500 b. Between 1500 and 1800 c. Between 1800 and 100 d. More than

11 Name: Page 11 Show all work and label units of measurement. NO CALCULATORS! 1. Rewrite in order from least to greatest: 4.5% /3 75% 1/3 7/10 6. A church camp must have 1 counselor for every 1 campers plus a director and a nurse on staff. Write an equation to represent the relationship between the number of campers (c) and the number of adults (a).. Which of the following equations are not linear? a. y = x(x-1) c. y = x e. y = x Mallory wants to get from A to C on the rectangular field below. How much shorter is it to travel diagonally, rather than across the length and width of the field? A b. y = x d. y = 4 1 x f. y = x + 6 C 40 yd. 30 yd. 3. Find the lateral surface area of a cylinder with a diameter of of 8 in. and a height of 10 in. 8. Solve for n: 5n 9 = 3n For a car traveling at a speed of 60 mph, the relationship between the distance (d) and the time traveled (t) is described by the function d = 60t. Therefore the is dependent on the. 9. The floor plan of a room is drawn to scale, where 1 in = 5 ft. On the drawing, the room is 5 in. x 3 in. What is the perimeter of the actual room? 5. Which of the following lines represents a linear relationship that is proportional? Explain why. m d Line: Reason: 10. Maria missed 5 out of 5 questions on her math test. Which expression could be used to find the percentage of questions Mary got correct? a. 100 b c. 100 d p

12 11. A rectangle with a vertex at (6,9) is dilated with the origin as the center of dilation. What will be the coordinates of the image of the point if the rectangle is dilated using a scale factor of 1/3? 16. A certain bacterium has a radius of.7 x 7 10 meters. Write this number in standard notation. 1. A sphere has a diameter of 8 cm. What is the volume of the sphere? Leave your answer in terms of π 17. A cube with side length x is next to another cube with side length 3x. How many times bigger is the volume of the second cube compared to the first? a) 3 times bigger c) 6 times bigger b) 9 times bigger d) 7 times bigger 13. State whether or not the ordered pairs represent a function: (-1, 1 ); (3, 5); (5, 7); (-1, -3) 18. Sketch the following scatter plot trends. Positive Trend Negative Trend No Trend 14. The interest on a 3-year loan is $3600. If the simple interest rate was 10% what is the amount of the loan? (I = prt) 19. Which point satisfies the conditions x < 1 and y > -4? a) ( -, -5 ) c) ( 0, -1 ) b) (, - ) d) ( 0, -7 ) 15. The gravity on the surface of the moon is.17 that of the earth. If Blake weighs 14 lbs. on earth, what will be his weight on the moon? 0. Give the coordinates of the image of points AJX under a reflection over the x-axis. A (, ) J (, ) X (, )