ADVANCED 7 TH FCAT DAILY REVIEW

Transcription

1 ADVANCED 7 TH 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 3 MA.7.A.3.1 Number 10 Use and justify the rules for adding, subtracting, multiplying, dividing, and finding the absolute value of integers. 1. Which of the following expressions has a positive answer? A B. 2( 3) 3 C. 2( 1)( 3) D. ( 1) 3 (3) 2. Which of the following expressions has a negative answer? F. 0.75(10) G. 4( 14) H. ( 128) I. 30 ( 1.5) For 4 5, on vacation, Kevin was scuba diving 65 feet below the surface of the water. He saw his brother 12 feet above him. 4. Which expression best represents how far his brother is from the surface of the water? A B C ( 12) D What integer best represents how far his brother is from the surface of the water? 3. Graph the set of integers on the number line. { 4, 0, 2, 3, 1} Answer:

5 Big Idea 3 MA.7.A.3.2 Number 10 Add, subtract, multiply, and divide integers, fractions, and terminating decimals, and perform exponential operations with rational bases and whole number exponents including solving problems in everyday contexts. 1. Nicholas is reading a book with 308 pages. If Nicholas has read of the book, how many pages has he read? A. 132 pages B. 123 pages C. 103 pages D. 44 pages 4. Gridded Response What is the value of the expression 2 8 ( 4) 3? 2. Victor is trying to lose weight. His losses and gains over 5 weeks are 6 pounds, +2 pounds, 5 pounds, +1 pound, and 2 pounds. What is his mean loss or gain for these 5 weeks? F. 2 G. 5 H. 10 I The temperature is dropping 2 F per hour. This morning at 8 a.m. it was 5 F. At what time will it be 11 F? A. 4 p.m. B. 8 p.m. C. 10 p.m. D. 6 p.m. 5. The formula h = t 2 can be used to find the approximate height h, in feet, above the ground of a roller coaster descending an incline. The number of seconds since the car began its decent is represented by t. How far is the roller coaster car from the bottom of the incline after 1.5 seconds? F. 119 feet G. 131 feet H. 139 feet I. 91 feet

6 Supporting Idea MA.7.A.5.1 Number 10 Express rational numbers as terminating or repeating decimals. 1. Desiree drew a model to represent the fraction. 4. What is the decimal equivalent of? F. G. H. I. What is written as a decimal? 5. The thermometer reads C. Answer: 2. Which fraction is equal to 0.225? A. B. C. D. 3. Convert to a decimal. Which decimal is equal to C? A. 2.2 C B C C. 2.2 C D. 2.2 C Answer:

7 Big Idea 3 MA.7.A.3.3 Number 10 Formulate and use different strategies to solve one step and two step linear equations, including equations with rational coefficients. 1. Larry is chef at a local restaurant. He paid $65 for his certification course and he earns $15.50 per hour. How many hours will it take him to earn a profit of $245? A. 15 hours B. 20 hours C. 25 hours D. 30 hours 2. Gridded Response What is the value of h for h + 6 = 20? 3. Vivian is solving a distance puzzle. The distances between the points are shown in the table. Distance Inches A to B 27 B to C 52 C to D? D to E 18 Vivian knows that the total distance from A to B to C to D to E is 133 inches. How far is it from C to D? Answer: 4. Which of the following steps would solve 8.1 = 5 2.4x? F. subtract 5 from both sides, then divide both sides by 2.4 G. subtract 5 from both sides, then divide both sides by 8.1 H. add 8.1 to both sides, then divide both sides by 2.4 I. add 8.1 to both sides, then divide both sides by 2.4

8 Big Idea 3 MA.7.A.3.4 Number 10 Use the properties of equality to represent an equation in a different way and to show that two equations are equivalent in a given context. 1. Why is the equation 8x 3 = 8 equivalent to 8 = 8x 3? A. Addition Property of Equality B. Symmetric Property of Equality C. Multiplication Property of Equality D. Reflexive Property For 4 5, the following equation is solved. Choose the property used for each step. i. x 2 = 14 ii. x = 12 iii. x = If h + 2g + 8 = 25 and h = 6g, which of the following is true? F. 8g + 8 = 25 G. 64g = 25 H. 12g + 8 = 25 I. 8g = Which of the following is NOT equivalent to (x + 4) = 28? A. 7(x + 4) = 56 B. x + 4 = 8 C. D. 7 x + 14 = x + 4 = Which property is used from step i to step ii? F. Substitution Property of Equality G. Multiplication Property of Equality H. Distributive Property I. Addition Property of Equality 5. Which property is used from step ii to step iii? A. Addition Property of Equality B. Subtraction Property of Equality C. Multiplication Property of Equality D. Commutative Property of Multiplication

9 Supporting Idea MA.7.A.5.2 Number 10 Solve non routine problems by working backwards. 1. Marissa and her family are on a cruise ship. She leaves her cabin and goes up 4 decks to the arcade, then down 8 decks to the ice cream shop. Next she goes up 7 decks to the pool and finally down 1 deck to the pizzeria. If the pizzeria is on deck 11, on what deck is Marissa s cabin? A. 10 B. 9 C. 8 D Gridded Response Guillermo s grandfather is old as his great grandfather. Guillermo s father is Guillermo s grandfather. Guillermo is as as old as the age of his 3. Zack gets home from school and spends 25 minutes eating a snack and 45 minutes doing homework. He then plays video games for 35 minutes before doing 30 minutes of chores. After finishing his chores, Zack sits down to eat dinner with his family. If dinner time is 6 p.m., what time did Zack get home from school? F. 3:30 p.m. G. 3:55 p.m. H. 3:15 p.m. I. 3:45 p.m. 4. Gridded Response Chris purchased three candy bars at 99 cents each and two bags of chips. He spent a total of $5.35. If the two bags of chips were equally priced, in dollars, what was the cost of one bag of chips? father. If Guillermo is 8 years old, how old is his great grandfather?

10 Big Idea 1 MA.7.A.1.1 Number 10 Distinguish between situations that are proportional or not proportional, and use proportions to solve problems. 1. Gridded Response It takes about 2000 steps to walk one mile. At this rate how many feet can a person travel if they take 6000 steps? 3. An alligator can run 17.6 kilometers per hour. At this rate how long will it take an alligator to run 88 kilometers? F. 3.5 hours G. 5 hours H. 6.5 hours I. 7 hours 2. In 4 weeks, a green sea turtle can travel 560 miles. If the green sea turtle travels at the same rate, which proportion can be used to find how many miles will it travel in 7 weeks? A. B. C. D. 4 x = = x = 7 x x 560 = Jake is practicing ice hockey. He makes 3 goals out of every 5 shots. How many goals can he expect to make, if he shoots the puck 40 times? A. 8 goals B. 15 goals C. 20 goals D. 24 goals 5. Deidra is planting sunflower seeds. If 2 out of 3 seeds grow and bloom, how many sunflowers can she expect to bloom, if she plants 252 seeds? F. 151 G. 158 H. 168 I. 171

11 Big Idea 1 MA.7.A.1.2 Number 10 Solve percent problems, including problems involving discounts, simple interest, taxes, tips, and percents of increase or decrease. 1. Tyson receives a 5% commission on all his sales. How much commission will he earn, if he sells an $800 television? A. $0.40 B. $4.00 C. $40.00 D. $ Gridded Response Nicole has $100 and wants to have her hair styled for the prom. The salon charges $56 for a hair styling. Nicole plans to leave a 20% tip. In dollars, how much money will she have left after she pays the hair stylist? 2. The price of an airline ticket increased from $200 to $275. What was the percent of increase? F. 72.7% G. 27.2% H. 37.5% I % 3. A granola bar contains 6 grams of sugar. If sugar accounts for 25% of the weight of the granola bar, how much does the granola bar weigh? A. 15 grams B. 24 grams C. 18 grams D. 32 grams 5. Miles borrows $2,500 at 12% simple interest a year. How much interest will he have to pay after two years? F. $3,100 G. $2,800 H. $600 I. $300

12 Big Idea 1 MA.7.A.1.4 Number 10 Graph proportional relationships and identify the unit rate as the slope of the related linear function. Use the graph below to answer questions 1 to 3. Use the graph below to answer questions 4 and 5.! )$%# )2# /+.0 )1# )&# # Bike Rental 3(45)$##6 3'45)7#6 3&45)1#6 3%45)'#6 3$45)%#6 " # $ % & ' ( *+,-. 1. What is the slope of the ray in the graph? Answer: 2. Which of the following describes the cost of renting a bike? A. $10 per hour B. $20 per hour C. $25 per hour D. $30 per hour 4. What is the slope of line F? Answer: 5. Which line has the greatest rate of change between the points? F. Line F G. Line G H. The lines have the same rate of change. I. It cannot be determined. 3. Does the graph represent a proportional relationship? Answer:

13 Big Idea 1 MA.7.A.1.5 Number 10 Distinguish direct variation from other relationships, including inverse variation. 1. Which of the following statements will be true about the coordinates for all ordered pairs on an inverse variation graph? A. The sum of x and y will be the same. B. The difference of y and x will be the same. C. The product of x and y will be the same. D. The quotient of y and x will be the same. For questions 3 to 5, determine if each graph represents a direct variation, an inverse variation, or neither. 3. " Answer:! 2. Which of the following tables represent an inverse variation between x and y? F. x y "! G. H. I. x y x y x y Answer: "! Answer:

14 Big Idea 1 MA.7.A.1.6 Number 10 Apply proportionality to measurement in multiple contexts, including scale drawings and constant speed. 1. A person weighing 130 pounds can burn 408 calories roller skating for 60 minutes. What is the rate of calories burned per minute for a 130 pound person? A. 2.2 B. 6.8 C. 3.1 D Gridded Response It takes Regan 2 hours and 10 minutes to drive from his house to his grandmother s house. If the distance is 130 miles, what is his average rate of speed in miles per hour? 2. Sandra makes a scale drawing of her room. She uses the scale 2.5 inches:2 feet. In the drawing, the dimensions of her room are 17.5 inches by 15 inches. What are the actual dimensions of Sandra s room? F. 14 feet by 12 feet G. 7 feet by 6 feet H. 7 feet by 10 feet I. 14 feet by 10 feet 3. A 40 ounce bag of chips costs $6.00 and a 24 ounce bag costs $3.60. Which size is the better buy? A. The 40 ounce bag is cheaper. B. The 24 ounce bag is cheaper. C. They both cost the same per ounce. D. It cannot be determined. 5. A toy company is manufacturing a model of the Chevy Camaro. They are using the scale 1 inch: If the width of a Camaro is feet. feet, what will be the width in inches of the toy Camaro? F. 3 G. 4 H. 5 I. 6

15 Supporting Idea MA.7.P.7.1 Number 10 Determine the outcome of an experiment and predict which events are likely or unlikely, and if the experiment is fair or unfair. For 1 4, Mrs. Popper prepared a set of cards as follows: 2 green cards, each labeled with a different number from 1 to 2 3 white cards, each labeled with a different number from 1 to 3 4 yellow cards, each labeled with a different number from 1 to 4 Mrs. Popper shuffled the deck of cards and asked Alex to select a card without looking. 1. What is the probability that Alex will select a card with a number 1 on it? A. B. C. D. 3. Mrs. Popper shuffled the deck of cards again and asked Charles to select a card without looking. What is the probability that Charles will select a card whose number is NOT 2? F. G. H. I. 4. The students in Mrs. Popper s class decided that they wanted to play a game with the deck of cards. The girls win if a green card is selected. The boys win if a card with a 3 on it is selected. Is the game fair or unfair? Explain. Answer: 2. Circle the event least likely to occur. Selecting a white card Selecting a card with a number 3 on it

16 Supporting Idea MA.7.P.7.2 Number 10 Determine, compare, and make predictions based on experimental or theoretical probability of independent or dependent events. 1. Your little brother lost a shell while playing in a rectangular sandbox 5 feet long by 4 feet wide. You search a rectangular section of the sandbox that is 2 feet by 1 foot. What is the probability the shell is in the section you searched? Answer: For 2 5, there are 2 red, 1 white, and 3 blue beads in a bag. Once a bead is selected, it is not returned to the bag. 2. What is the probability of selecting 3 blue beads in a row? A. '"#$%"!"#$% ("#$%" &"#$% 3. What is the probability of selecting a red bead and then a white bead? F. G. H. I. 4. What is the probability of selecting a blue bead and then a red bead? A. B. C. D. B. C. D What is the probability of selecting a red bead, then a white bead, and then another red bead? Answer:

17 Supporting Idea MA.7.G.4.3 Number 10 Identify and plot ordered pairs in all four quadrants of the coordinate plane. Use the graph below to answer questions 1 to In what quadrant is the forest located? F. quadrant I G. quadrant II H. quadrant III I. quadrant IV 4. Write an ordered pair to describe the location of the knight. Answer: 1. Which point best describes the location of the dragon? A. (6, 3) B. ( 3, 6) C. ( 3, 6) D. ( 6, 3) 5. The coordinates of the village are (5, 7). Plot the village on the graph and write what quadrant the village is located in on the line below. Answer: 2. Write an ordered pair to describe the location of the castle. Answer:

18 Supporting Idea MA.7.G.4.4 Number 10 Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)), dimensions, and derived units to solve problems. 1. The Incredible roller coaster is 3,700 feet long and reaches speed of 67 miles per hour. What is the approximate length of the roller coaster in miles? A. mile B. mile C. mile D. mile 2. Another roller coaster is even faster than the Incredible. It reaches a speed of 70 miles per hour. About how many feet per second is this? F. 62 feet per second G. 103 feet per second H. 117 feet per second I. 95 feet per second 4. A roller coaster ride reaches a maximum height of 200 feet before dropping 90 degrees. The Incredible reaches a height of 110 feet before spinning into the cobra roll. What is the difference in the roller coasters maximum heights in yards? F. 90 yards G. 60 yards H. 30 yards I. 50 yards 5. Gridded Response Before getting on a roller coaster famous for sending a rider flying down the track face first, you must pass by 10 aquariums containing 184,000 gallons of water. How many liters of water are in the aquariums? 3. To ride both roller coasters you must be at least 4 feet 6 inches tall. What is the minimum height for both roller coasters in inches? A. 48 inches B. 50 inches C. 52 inches D. 54 inches

19 Big Idea 2 MA.7.G.2.1 Number 10 Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones. 1. Kendra is getting ready to decorate a cake with icing by using a coneshaped bag. How much icing will the bag hold? Use = Round to the nearest tenth of an inch.!"#$% 3. Kendra needs to place the present below into the gift sack. Will it fit into the gift sack without showing? Explain. &"#$% &"#$%!"#$% '!"#$% &"#$% A in. 3 B in. 3 C in. 3 D. 8.4 in. 3 For 2 3, use the gift bag shown. Answer: 4. Gridded Response A cube has a surface area of 1944 square inches. In inches, what is the length of one edge of the cube? 2. What is the volume of the gift sack? F. 630 in. 3 G in. 3 H in. 3 I in. 3

20 Big Idea 2 MA.7.G.2.2 Number 10 Use formulas to find surface areas and volume of three dimensional composite shapes. A set designer for a movie company needs to build an outhouse. The whole building will be made of wood including floor. Use the diagram below to answer questions 1 to 3. )"#$% '"#$% ("#$% &"#$%!"#$% 4. An hourglass is made up of two congruent cones connected at their vertex. If each cone has a height of 12 inches and a radius of 5 inches, what is the total volume of the hourglass? Use π = A. 628 in. 3 B. 942 in. 3 C. 314 in. 3 D. 471 in What is the surface area of the rectangular shapes, including the floor? A. 57 ft. 2 B. 72 ft. 2 C. 95 ft. 2 D. 60 ft Gridded Response A square pyramid with base edges of 9 centimeters and a height of 9 centimeters is inside a cube that has a side edge of 9 centimeters. Plaster is poured into the cube until the empty space is filled. In cubic centimeters, what is the volume of the region filled with plaster? 2. What is the surface area of the trapezoidal sides? F. 75 ft. 2 G. 60 ft. 2 H. 120 ft. 2 I. 90 ft How many square feet of wood will the set designer need to build the outhouse? Answer:

21 Supporting Idea MA.7.G.4.1 Number 10 Determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures, and apply these relationships to solve problems. Use the similar figures below to answer questions 1 to What is the ratio of their perimeters? Answer: 2. What is the ratio of their areas? A. 4. If the radius of a circle is decreased by 50%, what happens to the area of the circle? A. The area decreases by 10%. B. The area decreases by 27%. C. The area decreases by 50%. D. The area decreases by 75%. 5. Gridded Response A large right cylindrical candle has a volume of 200 cubic inches. The candle company wants to create a smaller, similar right cylindrical candle using a scale factor of. In cubic inches, what is the volume of the smaller candle? B. C. D. 3. If the larger figure has an area of 500 square meters, what is the area of the smaller figure? F. 100 m 2 G. 200 m 2 H. 80 m 2 I. 40 m 2

22 Supporting Idea MA.7.G.4.2 Number 10 Predict the results of transformations, and draw transformed figures, with and without the coordinate plane. 1. The pre image Q( 1, 3) becomes Q ( 1, 3) after which type of transformation? A. reflection over the x axis B. translation 3 units down C. reflection over the y axis D. 180 clockwise rotation Use the graph below to answer questions 4 and The pre image of R(5, 2) becomes R ( 2, 0) after which translation rule? F. (x, y) (x + 3, y + 2) G. (x, y) (x 7, y + 2 ) H. (x, y) (x 3, y 2) I. (x, y) (x 7, y 2) 3. The pre image P(4, 6) becomes P (6, 9) after a dilation. What is the scale factor used in the dilation? A. 2 B. 3 C. D. 4. Which figure will be the resulting image when pentagon GATOR is rotated 180 about the origin? F. Figure 1 G. Figure 2 H. Figure 3 I. None of the above 5. Which figure will be the resulting image when pentagon GATOR is rotated 90 clockwise about point G and translated 2 units down? A. Figure 1 B. Figure 2 C. Figure 3 D. None of the above

23 Supporting Idea MA.7.S.6.1 Number 10 Evaluate the reasonableness of a sample to determine the appropriateness of generalizations made about the population. For 1 2, a survey is conducted to determine why people are anxious about going to the doctor. One thousand patients are randomly selected from different age groups. 1. Is the sample biased or unbiased? Answer: 2. Which of the following sample type best represents this situation? A. Sample of Convenience B. Voluntary Response Sample C. Simple Random Sample D. Systematic Random Sample 3. The local emergency management operations would like to know how many shelters might need to be opened during a hurricane evacuation. Which sample would result in the most valid information about the number of shelters to open? F. sampling by ing the local residents and offering a coupon for 10% off drinking water those who respond G. sampling the people attending a hurricane preparedness meeting H. sampling people at the local pool I. sampling every 5 th person who enters the local grocery store For 4 5, determine whether the following statements are true or false. If false, what can be changed to make the statement true? 4. In an unbiased sample, people drop their responses to a survey in a suggestion box. Answer: 5. In a convenience sample, members of a population are easily accessed. Answer:

24 Supporting Idea MA.7.S.6.2 Number 10 Construct and analyze histograms, stem and leaf plots, and circle graphs. Use the graph below to answer questions 1 and 2. Stem and Leaf Plot Stem Leaf Key: 15 1 = Which numbers below are represented in the stem and leaf plot above? A. 3, 8, 0, 2, 7, 1, 5, 5, 5, 9, 0, 6 B. 5, 58, 60, 62, 67, 71, 75, 75, 75, 79, 80, 86 C. 153, 158, 160, 162, 167, 171, 175, 179, 180, 186 D. 153, 158, 160, 162, 167, 171, 175, 175, 175, 179, 180, 186 Use the histogram below to answer questions 4 and 5. Frequency How many students passed the test with a score greater than 70%? F. 6 G. 8 H. 14 I. 19 Test Scores Grades In what interval does the mode of the data set lie? Answer: 5. Gridded Response To the nearest whole number, what percent of the students scored 60% or less on the test? 3. What type of graph would be best suited for comparing the color of students eyes? Answer: