8 TH GRADE FCAT DAILY REVIEW

Transcription

1 8 TH GRADE FCAT DAILY REVIEW : Period:

2 Grades 6 8 FCAT 2.0 Mathematics Reference Sheet Area Rectangle A bh Parallelogram A bh Triangle Trapezoid A A 1 2 bh Circle A π r h (b 1 b 2 ) b h w d r base height width diameter radius slant height KEY A B C V P S.A. 22 Use 3.14 or for π. 7 Circumference C πd or C 2πr area area of base circumference volume perimeter of base surface area Volume/Capacity Total Surface Area Rectangular Prism V V bwh or Bh S. A. = 2 bh + 2 bw + 2 hw or SA.. = Ph + 2 B Right Circular Cylinder V V πr 2 h or Bh S.A. 2πrh 2πr 2 or S.A. 2πrh 2B Right Square Pyramid V 1 3 Bh S.A. 1 P B 2 Right Circular Cone V V 1 3 πr2 h 1 3 Bh or 1 2 SA.. = ( 2 r ) + B Sum of the measures of the interior angles of a polygon = 180(n 2) Measure of an interior angle of a regular polygon = where: n represents the number of sides 180(n 2) n Florida Department of Education

3 Grades 6 8 FCAT 2.0 Mathematics Reference Sheet Pythagorean theorem Simple interest formula a c a 2 b 2 c 2 I prt b Slope-intercept form of a linear equation y mx b where p principal, r rate, t time Distance, rate, time formula d rt where m slope and b y-intercept where d distance, r rate, t time Conversions within a System of Measure 1 yard 3 feet 1 mile 1,760 yards 5,280 feet 1 acre 43,560 square feet 1 cup 8 fluid ounces 1 pint 2 cups 1 quart 2 pints 1 gallon 4 quarts 1 pound 16 ounces 1 ton 2,000 pounds 1 inch 2.54 centimeters 1 foot meter 1 mile 1.61 kilometers 1 meter 100 centimeters 1000 millimeters 1 kilometer 1000 meters 1 liter 1000 milliliters 1000 cubic centimeters 1 gram 1000 milligrams 1 kilogram 1000 grams 1 minute 60 seconds 1 hour 60 minutes 1 year 52 weeks 365 days Conversions between Systems of Measure When converting from Customary to Metric, use these approximations. 1 centimeter 0.39 inch 1 meter 3.28 feet 1 kilometer 0.62 mile C ( F 32) 1.8 F ( C 1.8) 32 1 cup 0.24 liter 1 gallon liters 1 ounce grams 1 pound kilogram When converting from Metric to Customary, use these approximations. 1 liter 4.23 cups 1 liter gallon 1 gram ounce 1 kilogram pounds Temperature conversions between Celsius and Fahrenheit Florida Department of Education

4 Big Idea 1 MA.8.A.1.1 Number 10 Create and interpret tables, graphs, and models to represent, analyze, and solve problems related to linear equations, including analysis of domain, range and the difference between discrete and continuous data. For 1 5, the Ramirez family is spending one day at the water park. Parking for the day is $20 and a ticket costs $12.75 per person. 1. Complete the table to find the total cost for a family of 3, 4, and 5 people. Number of people Cost in dollars Write the domain and range of the data as a set. 4. Which equation best represents this data, where x represents the number of people and y represents the cost in dollars for one day at the park? A. y = 20x B. y = 32.75x C. y = 12.75x 20 D. y = 12.75x Gridded Response What is the total cost, in dollars, for a family of 8 to spend a day at the water park? Domain: Range: 3. Does this relationship represent a function? Explain. Answer:

5 Big Idea 1 MA.8.A.1.2 Number 10 Interpret the slope and the x and y intercepts when graphing a linear equation for a real world problem. For 1 2, segment AB represents the steepness of a rooftop. 1. Gridded Response )!"#$$% + '((# &"#$$% What is the slope of the roof? * For 3 4, the table below shows the cost to purchase adult and child tickets for the water park. Cost in dollars Amount purchased Adult tickets Child tickets $15 $8 x y 3. A total of $1,350 was spent on tickets to the water park. Which equation represents this function? F. 15y + 8x = 390 G. 15x + 8y = 1350 H. 23xy = 1350 I. 120xy = Which statement best describes the slope of the roof? A. The slope represents 2 feet of vertical distance for every 3 feet of horizontal distance. B. The slope represents 2 inches of vertical distance for every 3 inches horizontal distance. C. The slope represents 3 feet of vertical distance for every 2 feet of horizontal distance. D. The slope represents 3 yards of vertical distance for every 2 yards of horizontal distance. 4. What does the y intercept represent? A. the amount spent on adult tickets B. the amount spent on children s tickets C. the maximum number of adult tickets that can be purchased D. the maximum number of children s tickets that can be purchased

6 Big Idea 1 MA.8.A.1.4 Number 10 Identify the solution to a system of linear equations using graphs. For 1 5, use the following lines. y = 2x + 1 x = 2 y = 3x Graph and label the lines above. 3. What is the solution to the system of equations below? A. (0, 0) B. (1, 1) C. ( 2, 2) D. (0, 1) y = 2x + 1 y = 3x What is the solution to the system of equations below? F. (1, 2) G. ( 1, 2) H. ( 2, 5) I. ( 2, 2) y = 2x + 1 x = 2 2. Gridded Response What is the y coordinate of the solution to the following system of equations? x = 2 y = 3x What is the x coordinate of the solution to the system of equations below? x = 2 y = 3x + 1 Answer:

7 Big Idea 1 MA.8.A.1.3 Number 10 Use tables, graphs, and models to represent, analyze, and solve real world problems related to systems of linear equations. For 1 5, Hannah and Haley are making crafts to sell at the local fair. Hannah started with 6 picture frames and makes 3 picture frames per day. Haley started with 8 magnets and makes 2 magnets per day. 1. Complete the table to show how Hannah s picture frames increase over time. Day Frames 6 2. Complete the table to show how Haley s magnets increase over time. Day Magnets 8 4. Which system of equations best represents the craft items? A. y = 6 3x y = 8 2x B. y = 6 + 3x y = 8 + 2x C. y = 9x y = 10x D. y = 6 + 3x y = 8 + 2x Hannah and Haley s crafts are graphed below.!.!,!' % 3. Gridded Response In how many days will Hannah and Haley have the same number of craft items? ( ) " *! ' " - #$%&, ) + 5. How many items do Hannah and Haley have in each craft collection when they are equal? F. 6 G. 12 H. 15 I. 28

8 Big Idea 1 MA.8.A.1.5 Number 10 Translate among verbal, tabular, graphical and algebraic representations of linear functions. For 1 2, the graph below shows the linear relationship between the total cost (y) to ride a horse in Utah for a given number of hours (x). " *-( *(( )-( )(( -( ( 1. Which equation best represents the relationship shown in the graph? A. y = 20x + 44 B. y = 44x + 20 C. y = x + 64 D. y = 1 5 x $'606$0789:0;0#$&':.)/01,2.*/0)(32.,/0)412.+/)-*2 ) * +, - #$%&'! For 3 5, a local pet store sells terrariums for $40 and hermit crabs for $6 each. 3. Which equation can be used to find the total cost (c) of a terrarium with any number of hermit crabs (h). A. c = 40 6h B. c = 40h 6 C. c = 40h + 6 D. c = h 4. Use the equation from above to determine the cost of a terrarium with 7 hermit crabs. F. $46 G. $74 H. $82 I. $ Which situation below best represents the graph above? F. The cost to ride a horse is $44 per hour plus $20 for lunch. G. The cost to ride a horse is $20 per hour plus $44 for lunch. H. The cost to ride a horse is $64 per hour. I. None of these 5. Write a linear equation that relates x and y for the table below. x y Answer:

9 Big Idea 1 MA.8.A.1.6 Number 10 Compare the graphs of linear and non linear functions for real world situations. For 1 3, Jessie wants to save $15 each week, for a month. 1. Complete the table to show the amount of money Jessie will save after each week. Week Savings, dollars 2. Sketch a graph of the data below. $ ;" -","./ " :5 *" )" ("!" "! ( ) * + %&&' 3. Is the amount Jessie saved a linear or nonlinear function of time? # 5. Colton had to learn 75 vocabulary words during the first nine weeks of school. He learned many new words quickly in the first three weeks. Then for the remainder of the weeks, he learned a few new words each week. Which graph illustrates the number of words Colton learned as a function of time? A. B. C. %&'() %&'()!"#$!"#$ Answer: %&'() 4. Consider the following table of values. Using rates of change, classify the relationship as linear or nonlinear. x y Answer: D. %&'()!"#$!"#$

10 Big Idea 2 MA.8.G.2.1 Number 10 Use similar triangles to solve problems that include height and distances. 1. Gridded Response The tree trimmers left two ladders leaning against a palm tree. 3. A surveyor uses similar triangles to find the height of a building. Use the figure below to find the height of building B. +! " #$%&'( )*%&'( In feet, how long is the shorter ladder? A. 20 feet B. 24 feet C. 10 feet D. 16 feet 4. Given EFG ~ RST. What is the length of segment EF? /0)1)(2)*+,! '()*+, % ".)*+, # $ (-)*+, & 2. Given LOV ~ BUG, in degrees, what is measure of U? F. 2 inches G. 3 inches H. 4 inches I. 5 inches! &&' o $% o (% o " # Answer:

11 Big Idea 2 MA.8.G.2.2 Number 10 Classify and determine the measure of angles, including angles created when parallel lines are cut by transversals. For 1 5, in Jupiter, Florida, Interstate 95 and the Florida Turnpike are parallel to each other and Indiantown Road intersects both highways Indiantown Road Which two angles are alternate interior angles? F. 3 and 6 G. 6 and 7 H. 1 and 5 I. 3 and 4 1. Which two angles are vertical? A. 4 and 5 B. 1 and 2 C. 2 and 6 D. 5 and 8 2. Gridded Response If m 1 = 78, in degrees, what is the m 3? 4. Which two angles are corresponding angles? A. 4 and 5 B. 1 and 2 C. 2 and 6 D. 5 and 8 5. Gridded Response If m 2 = 85, in degrees, what is the m 8?

12 Big Idea 2 MA.8.G.2.3 Number 10 Demonstrate that the sum of the angles in a triangle is 180 degrees and apply this fact to find unknown measure of angles, and the sum of angles in polygons. 1. Gridded Response After cutting out a dress pattern, Natalia has a piece of material in the shape of a quadrilateral.! o "#$ o o &$ %$ o In degrees, what is the measure of the missing angle? For 3 4, use the diagram below. ' & $# o! ( "# o % 3. What is the measure of MON? F. 28 G. 32 H. 42 I What is the measure of OPQ? A. 90 B. 32 C. 120 D Which set of angle measures will form a pentagon? A. 70, 100, 34, 70, 86 B. 108, 82, 80, 125, 145 C. 67, 96, 137, 135, 95 D. 129, 151, 84, 96, What is the sum of the measures of the interior angles of a decagon? Answer:

13 Big Idea 2 MA.8.G.2.4 Number 10 Validate and apply Pythagorean Theorem to find distances in real world situations or between points in the coordinate plane. 1. A 51 foot waterslide extends 24 feet out into the water. What is the distance (x) between the ground and the top of the slide? 3. Gridded Response In order to keep the ladder out of the flowerbed, Jacob must place the base of the ladder 6 feet away A. 56 feet B. 45 feet C. 36 feet D. 27 feet )!"#$%& '(#$%& from the side of a building. If the ladder is 25 feet long, how far up the building will the ladder reach? Round your answer to the nearest hundredth of a foot. 2. When Brett tried to paddle his kayak across a river, which was 150 meters wide, the current carried him 80 meters downstream. How far did Brett paddle?!"#$ F. 230 feet G. 70 feet H. 170 feet I. 123 feet '()*' %&"#$ 4. What is the length of segment in the trapezoid below?! %&'( A. 17 m B. 19 m C. 25 m D. 23 m %)'( $ *' " # )+'(

14 Big Idea 3 MA.8.S.3.1 Number 10 Select, organize and construct appropriate data displays, including box and whisker plots, scatter plots, and lines of best fit to convey information and make conjectures about possible relationships. For 1 4, Mrs. Bernstein recorded the number of books her students read over the summer and then graphed the data. & & ' ' Books Read by Boys (! " # $ % ) &* && &' Books Read by Girls (! " # $ % ) &* && &' 1. Gridded Response What was the greatest number of books read by a girl? 2. What is the difference between the median number of books read by a boy and a girl? Answer: 3. Which of the following statements is true? A. The range was greater for the girls. B. 75% of the girls read 4 or more books. C. 75% of the boys read between 1 and 5 books. D. The median number of books read was the same for both boys and girls. 4. Which of the following is NOT a valid conclusion? F. The fewest number of books read was the same for the boys and the girls. G. The interquartile range was the same for both the boys and the girls. H. 50% of the boys read 7 or more books. I. 50% of the girls read 7 or more books. 5. When should a student use a circle graph to display data? A. to show change over a period of time B. to show the relationship between two sets of data C. to compare parts to the whole D. to show the variation for a set of data

15 Big Idea 3 MA.8.S.3.2 Number 10 Determine and describe how changes in data values impact measures of central tendency. For 1 4, Chris recorded the number of fat grams and calories in his favorite foods. Fat and Calories in Food Item Fat (g) Calories Hamburger Cheeseburger French Fries Chicken Nuggets Vanilla Shake Garden Salad If the chicken nuggets were omitted from the chart, how would the mean number of fat grams change? A. The mean number of fat grams would not change. B. The mean number of fat grams would increase. C. The mean number of fat grams would decrease by 1 gram. D. The mean number of fat grams would decrease by 2.5 grams. 3. Gridded Response If the vanilla shake was removed from the list, what would be the change in the mean number of calories? 4. Gridded Response If French fries were removed from the table, what would be the resulting change in the mean number of calories? 2. If hamburgers were omitted from the chart, which of the following would be true about fat grams? F. The median would decrease. G. There would be no mode. H. The mean would decrease. I. The mean and the median would be equal.

16 Supporting Idea Algebra MA.8.A.4.1 Number 10 Solve literal equations for a specified variable. 1. Ethan needs to determine the height of a rectangular prism. He already knows the volume, so he solves the formula V = bwh for h. 3. The speed of an object can be derived by using the formula v = d t, where v represents the average speed, d represents distance, and t represents time. Solve the formula in terms of d. Which equation shows the formula V = bwh solved in terms of h? A. h = V b w B. h = V + b + w C. h = V (bw) D. h = V b w Answer: 4. The formula for the perimeter of a rectangle is P = 2l + 2w. Which of the following is NOT an equivalent equation? A. l = 2. Solve the equation n = 5p + 7 for p. F. p = G. p = B. l = (p 2w) C. l = 2p w D. l = w H. p = I. p = 5. What is the result when is written in terms of k? F. G. H. I.

17 Supporting Idea Algebra MA.8.A.4.2 Number 10 Solve and graph one and two step inequalities in one variable. 1. A dump truck holds at most 135 cubic feet of material. If there are 78 cubic feet of gravel in the dump truck, which inequality can be used to find how much more gravel can be added? A x 135 B. 78 x > 135 C. 78 x 135 D x Which inequality does NOT have the solution n > 4? F. n 8 < 4 G. n 2 < 2 H. 6n < 24 I n > 6 3. At a family reunion, Sergio noticed his relatives were either born before 1995 or after Which compound inequality describes this situation? A. x < 2004 or x > 1995 B. x > 2004 or x < 1995 C. x 2004 or x 1995 D. x 2004 or x 1995 For 4 5, Chloe has $600 in her savings account. If her account balance falls below $250, she will incur a service charge on her account. Chloe wants to withdraw $40 each week for spending money. 4. If w represents the number of weeks, which inequality best represents Chloe s situation? F w < 600 G w < 600 H w 600 I w Gridded Response What is the maximum number of weeks Chloe can with draw money from her account before incurring a service charge?

18 Supporting Idea Geometry and Measurement MA.8.G.5.1 Number 10 Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)) and dimensions including temperature, area, volume, and derived units to solve problems. 1. Gridded Response Malcolm uses a large tub to bathe his dog. If the tub holds 90.5 liters of water, what is the size of the tub in cubic centimeters? 2. The average temperature on Saturn is 148 degrees Celsius. What is this temperature in degrees Fahrenheit? A F B F C F D F 3. Five pieces of candy weigh 43 grams. What is the weight of one piece of candy in milligrams? F. 860 G H I Ms. Tunno and Ms. Turney are comparing the areas of their classrooms. Teacher Ms. Tunno Ms. Turney Classroom Area 882 square feet 102 square yards Which of the following statements is NOT true about their classrooms? A. The difference between the area of the two classrooms is 36 square feet. B. The difference between the area of the two classrooms is 4 square yards. C. Ms. Turney s classroom is bigger. D. Ms. Tunno s classroom is bigger. 5. A vase holds 3 pints of water. Which expression can be used to convert 3 pints to liters? F. G. H. I. 3 pts. 1 1 pt. 2 c l 1 c. 3 pt. 1 1 c. 2 pt. 1 c l 3 pts. 1 1 pt. 2 c. 1 c l 3 pts. 1 2 c. 1 pt l 1 c.

19 Supporting Idea Number and Operations MA.8.A.6.1 Number 10 Use exponents and scientific notation to write large and small numbers and vice versa and to solve problems. 1. What is the number written in scientific notation? A B C D Gridded Response What is the product of and in standard form? 4. McDonld s has sold over 247 billion burgers. What is 247 billion written in scientific notation? F G H I The products of the Coco Cola Company are consumed at the rate of 1.6 billion drinks per day. How many drinks will be sold in one year? A B C D Express the quotient below in standard form and scientific notation Answer:

20 Supporting Idea Number and Operations MA.8.A.6.2 Number 10 Make reasonable approximations of square roots and mathematical expressions that include square roots, and use them to estimate solutions to problems and to compare mathematical expressions involving real numbers and radical expressions. 1. The formula to find the length of a diagonal of a square d with side length s is d =. What is the approximate length of the diagonal for a square with a side length of 15 centimeters? A cm B cm C cm D cm 2. Fall leaves cover a square backyard of 750 square feet. What is the length of one side of the backyard, rounded to the nearest tenth? F feet G feet H feet I feet 4. Which of the following numbers is an irrational number? F. 210 G. H. I. 5. Order the following numbers from least to greatest. 9,, 14.2, Answer: 3. Which of the following real numbers is rational? A. 25 B. C D.

21 Supporting Idea Number and Operations MA.8.A.6.3 Number 10 Simplify real number expressions using the laws of exponents. 1. What is the area of the square below? 4. Simplify the following expression. 10p 4 q 3 Answer: A. 20p 8 q 6 B. 200p 6 q 6 C. 100p 8 q 6 D. 110p 5 q 4 5. Gridded Response Simplify the following expression. (5 ) 2 2. A great white shark can weigh up to 5000 pounds. Which expression represents the weight in exponential form? F pounds G pounds H pounds I pounds 3. Which expression has the same value as 512m 6 n 9? A. (2m 2 n 3 ) 6 B. (9m 3 n 4 ) 2 C. (7m 2 n 3 ) 4 D. (8m 2 n 3 ) 3

22 Supporting Idea Number and Operations MA.8.A.6.4 Number 10 Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi step and real world problems. 1. Manuel invested $500 at 4% simple interest. After 8 years, what is the total amount Manuel will have in the account? A. $160 B. $660 C. $1600 D. $16, The diameter of the Earth is kilometers. The diameter of Jupiter is kilometers. In standard form, how many times larger is the diameter of Jupiter than Earth? 4. A rectangular computer monitor has a diagonal measurement of 15 inches. If the length of the monitor is 12 inches, what is the width? "#$%&'()*! A inches B. 10 inches C inches D. 9 inches "+$%&'()* 5. Which expression below is NOT equivalent to 4? F ( 4) 0 G. H I Simplify F. 11 G. 7 H. 5 I. 7