Using the Student Performance Analysis Grade 8 Mathematics Standards of Learning 1

Practice for SOL 8.1a What is the value of the expression shown? 1. 2.

Practice for SOL 8.1b 1.Arrange the numbers from greatest to least. 2.Arrange the numbers from least to greatest.

a)Select each number that is between b)Identify the number with the smallest value. Practice for SOL 8.1b

Practice for SOL 8.2 Which classifications of the real number system describe all numbers in the set? (Real, Rational, Irrational, Integer, Whole, Natural)

Identify each natural number from the list of numbers. Practice for SOL 8.2 a) b)

Practice for SOL 8.2 This diagram represents the relationship between two sets of the real number system. Which classifications of the real number system could A and B represent? A B

Practice for SOL 8.3 The Smiths purchased 6 containers of ice cream for a party. Each container holds 9 cups of ice cream. Before the party, their sons ate 3 cups of ice cream altogether. One serving is cup of ice cream. a)How many servings of ice cream do the Smiths have left for their party? b)What fraction of the original amount of ice cream purchased did the Smiths’ sons eat?

Practice for SOL 8.3 This table represents the market value of a house at the end of each year. a)What is the percent increase in the market value of the house from 2009 to 2010? b)If the market value of the house decreased in value 22.28% from 2011 to 2012, what is the market value of the house at the end of 2012? Round your answer to the nearest dollar. YearMarket Value of House ($) , , , ?

Practice for SOL 8.3 Jonah buys lunch each day from the school cafeteria. In September, Jonah spent $45.00 on school lunches. In October, he spent $51.75 on school lunches. a)What is the percent increase in the amount of money Jonah spent on school lunches in October compared to the amount of money he spent in September? b)When compared to October, Jonah had a 10% increase in school lunch spending in November. How much did he spend on school lunches in November?

Kimberly wants to buy a new television for her mother. The cost of the television is $276.45, including tax. She has $90 saved. She will babysit for three months to save the remaining amount of money needed to buy the television. She will earn the same amount of money each month. How much money must Kimberly earn each month to save the exact remaining amount needed? Practice for SOL 8.3a

1.Sasha buys 2.25 pounds of ham for $4.96 per pound and 1.7 pounds of cheese for $2.30 per pound. Sasha gives the clerk $ If there is no sales tax on these items, how much change should she receive? 2.Robert bought a pair of shoes that was on sale for 30% off the original price of $ Which is closest to the sale price of the pair of shoes? A $23.99 C $79.65 B $55.97 D $103.94

Practice for SOL 8.3a 3.A librarian knows that 45% of the books currently checked out will NOT be returned on the due date. The library has a total of 5,040 books. How many of the library’s books will be returned on the due date?

Dedra polled people at the mall to determine which types of movies they preferred to watch. She displayed the results in a circle graph. Practice for SOL 8.3a Of the people polled, 84 preferred to watch comedies. Use this information and the graph to answer these questions. a)What is the total number of people Dedra polled? b)What is the total number of people that preferred: i.Horror ii.Drama

Practice for SOL 8.3b Cayley’s mom made a graph to represent Cayley’s weight in March and in December. Cayley weighed a total of 6 pounds in March. Her weight increased by 175% from March to December. Complete the graph to show Cayley’s weight in December. Month Weight (Pounds)

Practice for SOL 8.3b Maggie has been exercising by climbing steps. Her climbing rate at the end of week 1 was 25 steps per minute. At the end of week 4, Maggie’s rate was 60 steps per minute. What is the percent increase in Maggie’s rate of climbing steps from the end of week 1 to the end of week 4?

Practice for SOL 8.3b At the end of December, the Cookie Shop had a profit of $ 15,000. At the end of January, their profit had decreased by 20 %. Draw a bar on the graph to represent the Cookie Shop’s profit at the end of January. Month Profit (dollars) 20,000 15,000 10,000 5,000 0 JanuaryDecember

Practice for SOL 8.3b The price of a video gaming system was $259. The price decreased to $199. What is the percent decrease in the price of this system? Round your answer to the nearest whole percentage.

Practice for SOL 8.4 Evaluate each expression. a) b) c)

Practice for SOL a)Name the pairs of vertical angles in the figure. b)Which two angles are supplementary? c)Name an angle in the figure that is adjacent to angle 2. d)Which pairs of angles are complementary?

Name pairs of vertical, adjacent, supplementary, and complementary angles. Practice for SOL 8.6a Vertical Angles Adjacent Angles Supplementary Angles Complementary Angles a e b d c

Practice for SOL 8.7 Brian purchased a trophy in the shape of a square pyramid for the most valuable player on his lacrosse team. The trophy had a slant height of 4 inches, and each side of its base measured 4 inches. Brian wanted to engrave text on the four sides of the trophy, but not on the base of the trophy. How many square inches of the trophy were available for engraving? 4 inches

Practice for SOL 8.7 A paper weight mold in the shape of a square pyramid is filled with molten glass. How many cubic inches of molten glass are needed to fill the paper weight?

Practice for SOL inches Megan wrapped a present inside a cube-shaped box. The box had an edge length of 4 inches. How many square inches of paper were needed to wrap the box, if there was no overlap?

Practice for SOL 8.7 Anna built a prism (Prism A) in the shape of a cube out of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height. a ) How does the volume of the two prisms compare? b) How does the surface area of the two prisms compare? c) Find the volume and surface area of Prism A and Prism B. 18 inches h 2h Prism A Prism B 18 inches

Practice for SOL 8.7a Timothy built a wooden square-based pyramid for a history class project on Egypt. He needs to buy enough gold paper to cover the entire surface. The base length is 2.5 ft and the slant height is 1.5 ft. What is the minimum amount of gold paper he needs to purchase? 2.5 ft 1.5 ft

This polygon is rotated 270° counterclockwise about the origin. Plot the image of point D (-4,5) and name the coordinates. Practice for SOL 8.8a D

Practice for SOL 8.9 Which could represent the front view of this figure? a)b) c) d) Left side Front side

Practice for SOL 8.9 A three-dimensional figure was constructed using identical cubes. The top-, front-, and left-side views of this figure are shown. Which could be this figure? Front Top Left Side

Practice for SOL 8.9 What three dimensional figure could be represented by these three views? Front View Left ViewTop View a) b) c)d)

Practice for SOL 8.10a These triangles are not drawn to scale. Which triangle is a right triangle? AC BD 6.5 ft 7.2 ft 9.7 ft 7.1 ft 6.4 ft 9.4 ft 6.3 ft 5.2 ft 8.4 ft 7.3 ft 5.1 ft 8.4 ft

Practice for SOL 8.10b An observer is watching a bird from the ground as shown. What is the bird’s distance from the ground, in miles, as shown in the diagram? Round the distance to the nearest tenth. 1.2 miles 1.9 miles ? Observer

4 cm 6 cm 10 cm 9 cm 2 cm Practice for SOL 8.11 a)Find the area and perimeter of this composite figure. b) A semicircle with a diameter of 2 centimeters is added to the side of the figure labeled 2 cm. Find the approximate area and perimeter of the new figure after this addition.

Practice for SOL 8.11 The net of a square-based pyramid is shown. What is the area of this net? 1.5 cm 1 cm

Practice for SOL 8.11 The net of a square-based pyramid is shown. What is the perimeter of this net? 1.5 cm 1 cm

3ft 10 ft 8 ft 5ft Bobby is painting a figure on a banner for a homecoming parade. The figure he is painting consists of an isosceles triangle, a rectangle, and a semicircle, as shown. a)What is the total area of the figure, rounded to the nearest tenth? b)What is the total perimeter of the figure, rounded to the nearest tenth? Practice for SOL

Practice for SOL 8.11 An artist created a geometric design on a wall. She began by painting a blue circle and then painting a yellow isosceles right triangle on top of the blue circle. This figure shows the artist’s beginning steps. Point A is the center of the circle. Points B and C lie on the circle. The diameter of the circle is 12 feet. What is the area of the interior of the circle not covered by triangle ABC, rounded to the nearest whole number?

Practice for SOL 8.12 b)If the spinner for a game is spun once, there is a 20% chance it will land on red. What is the chance that it will NOT land on red on both the first and second spin in a game? Plot the value of this probability on the number line and label it. 0 1 a)Sue flips a fair coin three times. What is the probability that the coin will land on tails all three times?

Practice for SOL 8.12 Cynthia has 14 roses in a vase. 2 yellow roses 5 pink roses 3 white roses 4 red roses Cynthia will randomly select 2 roses from the vase with no replacement. What is the probability that Cynthia will select a red rose and then a pink rose?

Practice for SOL 8.12 Eric and Sue will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Eric will select a treat, replace it, and then select a second treat. Sue will select a treat, not replace it, and then select a second treat. Who has the greater probability of selecting 1 lollipop and then 1 gum ball?

Practice for SOL 8.12 Mario rolls a fair number cube with faces labeled 1 through 6 three times. Place a point on the number line to represent the probability that the number landing face up will be an even number all three times.

Practice for SOL 8.12 Ms. Wright has a box of markers that are all the same shape and size that she uses to write on the board. There are 4 red markers, 3 green markers, and 8 black markers. a)What is the probability that Ms. Wright will select a red marker, put it back in the box, and then select a green marker? b)Ms. Wright is passing out markers to her students. What is the probability that she first selects a black marker, does not replace it, and then selects a red marker?

Practice for SOL 8.12 Juan has a bag of candy with 20 pieces that are the same shape and size. 40% of the pieces are only chocolate. 20% of the pieces are only caramel. The remainder of the pieces are only toffee. Juan eats 1 piece of caramel candy from the bag and then gives the bag to her friend Susanna. If Susanna takes one piece of candy from the bag without looking, what is the probability the piece she takes will be chocolate?

Practice for SOL 8.12 Clinton has two spinners. Spinner A has 4 congruent sections and Spinner B has 3 congruent sections as shown. Clinton will spin these two spinners at the same time. a)What is the probability that both spinners will land on a color that is NOT pink? b)What is the probability that Spinner A will land on orange and spinner B will land on green? GreenPink OrangeBlue Pink Green Spinner ASpinner B

Practice for SOL 8.12 Olivia has hard pieces of candy in a bowl. They are all the same size and shape. There are 1 green, 4 blue, and 5 red pieces of candy in the bowl. a)Olivia picks two pieces of candy without looking. What is the probability that Olivia will pick a red piece of candy and then a blue piece of candy? b)Olivia picks two pieces of candy without looking. What is the probability that Olivia will pick a red piece of candy, put it back into the bowl, and then pick a blue piece of candy?

Practice for SOL 8.12 A spinner is divided into eight equal sections as shown. What is the probability that the spinner will NOT land on a section labeled 2 on the first spin and will land on a section labeled 2 on the second spin?

Practice for SOL 8.13 This graph displays the high temperatures for Hampton, VA over five days in September. The mean high temperature in Bristol, VA for these same dates was 89°F. What is the difference in the mean high temperatures of Bristol and Hampton for these five days, rounded to the nearest degree?

Practice for SOL 8.13a The numbers and prices of meals sold at a restaurant are represented in the graph. Number of Meals Sold Price of a Meal (in dollars) Based on the information in the graph: a)What is the mean price of all of the meals sold? b)What is the median price of all the meals sold? c)What is the total number of meals costing more than 7 dollars?

Practice for SOL 8.13a The circle graph displays the items sold at the football concession stand. The concession stand sold a total of 450 items. How many more nachos were purchased than popcorn? Items Sold at Football Concession Stand Gatorade Nachos Cotton Candy Hot Chocolate Popcorn

Practice for SOL 8.13a Mr. Robert took a survey of his sixth period class to determine what breeds of dogs the students have as pets. The results are shown in this graph. What percentage of the dogs owned by Mr. Robert’s class are a beagle or a terrier?

Practice for SOL 8.13b a)the graph shows a positive relationship for the average price of a gallon of gas b)the graph shows a negative relationship for the average price of a gallon of gas c)the graph shows the average price of a gallon of gas remains constant d)the graph shows no relationship between the average price of a gallon of gas and the months This scatterplot shows the average price of a gallon of gas during each month in Which statement best describes the gas prices as the months progress from January to December? July October August September November 2013 National Average Gas Prices Price of a Gallon of Gas ( in dollars) Months January February March May June April December

Practice for SOL 8.14 The school store sells t-shirts and sweatshirts each Friday. Sales totaled $ last Friday. Let t represent t-shirts, which sold for $10 each. Let w represent sweatshirts, which sold for $25 each. Write an equation using t and w to represent the total sales for last Friday.

Practice for SOL 8.14 Use the table to answer questions a, b and c. a) Plot the ordered pairs in the table on the coordinate plane. b) Use words to describe the relationship found in the table. c) Write an equation for the relation that includes the ordered pairs in the table. x-2013 y-7-33

Suggested Practice for SOL 8.15 Solve each linear equation. a) b) c) d)

Practice for SOL 8.15 a)Graph the solution to on a number line. b)Graph the solution to on the number line

Practice for SOL 8.15 Select each equation that illustrates the commutative property of multiplication. Select all equations that are correct.

Practice for SOL 8.15 Which property best justifies the work between step 2 and step 3? a)Identity Property of Multiplication b)Inverse Property of Multiplication c)Multiplication Property of Equality d)Commutative Property of Multiplication Step 1 Step 2 Step 3 Step 4 Step 5

Practice for SOL 8.15a Solve each equation. a) b) c)

Solve and graph the inequality. a)b) Practice for SOL 8.15b

What is the solution to this inequality? A C BD 0 1 Graph the solution to the inequality on the number line.

Practice for SOL 8.15b Solve this inequality for x and graph the solution on the number line.

Practice for SOL 8.15c Select each equation that shows the use of the commutative property of multiplication.

Practice for SOL 8.15c Eric solved the equation as shown. What property justifies Eric’s work from Step 2 to Step 3 ?

Practice for SOL 8.15c Joanna was given the equation to solve. The first five steps she used to solve the equation are shown. a)Between which two steps is the commutative property of addition applied? b)Between which two steps is the associative property of addition applied?

Practice for SOL 8.16 Identify the equation that best represents the graph. Equation A Equation B Equation C

Practice for SOL 8.16 Alana is creating a table of values to graph the equation What is the missing y -value? AC BD

Practice for SOL 8.16 Which graph best represents the function ? AC B D

Practice for SOL 8.17 Lisa’s monthly cell phone charges are listed separately on the bills from her cell phone company provider. Mobile-to-mobile calls cost $0.03 per minute. Mobile-to-land line calls cost $0.05 per minute. Unlimited text messaging is $45.00 per month. The monthly service charge of $9.95. The total bill is taxed at a rate of 5%. Identify the independent variable(s) and dependent variable(s) in this situation.

Practice for SOL 8.17 What are the domain and range of this relation?

Practice for SOL 8.17 What is the range of for the domain of ?

Practice for SOL 8.17 xy a)b) Determine the domain and range of each relation.

Practice for SOL 8.17 Determine the independent and dependent variable in each situation. a)Sarah has hired a contractor to replace the windows in her house. The more people that work, the less time it takes to install the windows. b)Leon sells ice cream cones in the park. He has observed that when the outside temperature exceeds ninety degrees, he sells more ice cream cones.

Practice for SOL 8.17 c) Identify the domain and range of each relation.

Practice for SOL 8.17 Select each relation that has a range of.

Practice for SOL 8.17 Determine the dependent variable and independent variable in each situation. a)Brianna is saving the money she earns babysitting to buy a present for her mother. The more hours she babysits, the more money she earns. b)Makayla has a basket of yarn she uses to knit scarves. As she finishes knitting scarves, she has less yarn in her basket.

Practice for SOL 8.17 Select each table that represents a relation with a domain of {-1, 2, 3}. xy xy xy xy

Practice for SOL 8.17 Which table represents a relation with a domain of {-1, 2} and a range of {3,5} ? a) b) c) d) xy xy xy xy

Practice for SOL 8.17 For which sets is this statement true? All elements are members of the domain of the graphed function.