Math 7 SOL Practice Questions

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Practice solving math problems related to fractions, decimals, expressions, number comparisons, and discounts for 7th-grade Standards of Learning (SOL) exams. Includes identifying equivalent fractions and decimals, evaluating expressions, arranging numbers in order, finding discounted prices, and more.

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Using the Student Performance Analysis Math 7 Standards of Learning

Practice for SOL 7.1A Which fraction and decimal are equivalent to ?? ? ? ? a) ??? ??? ?.?? ? ??? ??? ?.?? ? ??? ??? ?.?? ? ??? ??? ?.?? b) c) d)

Practice for SOL 7.1A Which expression is equivalent to ? a) b) c) d) 3

Practice for SOL 7.1c Which number would make the sentence true? A B C D 4

Practice for SOL 7.1C Arrange the four numbers shown in order from least to greatest.

Practice for SOL 7.1C Which number is greater than ? a) 1.34 1.34 b) 166 % 166 % c) d)

Practice for SOL 7.1c Identify two numbers that have a value less than 3. 7

Practice for SOL 7.3b What is the value of the expression? 1) ?? ?? ? 2) ?? ? ? 3) ?? + ? ?

Practice for SOL 7.3B a) What is the value of this expression? b) Name two numbers that can be placed in the blank to make the value of this expression a negative number. ? 9

Practice for SOL 7.4 The original price of a chair was $545.00. A store discounted the price of this chair by 25%. What is the exact price of the chair, not including tax, with this discount? A $136.25 B $408.75 C $520.00 D $681.25

Practice for SOL 7.4 Practice for SOL 7.4 a) Xavier saved money to purchase a bike that originally cost $250, not including tax. The store discounted the bike by 20%. What is the discounted price he will pay for the bike, not including tax? b) Kim and Steven went to dinner. Kim had a coupon for a 25% discount off the price of all meals, not including tax and tip. If the original price of the meals was $75.00, what is the discounted price, not including tax and tip?

Practice for SOL 7.4 Max ran 5 miles on Thursday. One mile is equal to 5,280 feet. Which proportion can be used to determine how many feet, x, Max ran on Thursday? A B C D 12

Practice for SOL 7.5c Which method would result in tripling the volume of this rectangular prism? height=5 cm width=2 cm length=10 cm a) Add three to each dimension of the prism b) Add three to the height of the prism and keep the other dimensions the same c) Multiply each dimension of the prism by three d) Multiply the width of the prism by three and keep the other dimensions the same 13

Practice for SOL 7.5a One way to determine the surface area of this cylinder is to A add the areas of both bases to the rectangular area around the cylinder B add the areas of both bases C multiply the area of the base by the height D multiply the rectangular area around the cylinder by pi 14

Practice for SOL 7.5b A container in the shape of a cube will be completely filled with sand. The container has an edge length of 8 inches. What is the exact number of cubic inches of sand needed to completely fill the container? cubic inches 15

Practice for SOL 7.5c Rectangular Prism A is shown. h = 5 inches w = 3 inches l = 4 inches Rectangular Prism B has the same height and width as rectangular Prism A but its length is 8 inches. The volume of Prism B is A twice the volume of Prism A B one-half the volume of Prism A C one-fourth the volume of Prism A D four times the volume of Prism A

Practice for SOL 7.5C a) What effect does doubling the width, length, OR height of a prism have on its volume? b) A rectangular prism has a volume of . If the height of the prism is tripled and the other dimensions stay the same, what is the volume of the new prism?

Practice for SOL 7.5C The rectangular prism shown has a surface area of . Height = 5 cm Width = 3 cm Length = 4 cm If the height of the prism is increased to 15 cm and the other dimensions remain the same, the surface area a) Triples b) Increases by c) Increases by d) Increases by

Practice for SOL 7.6 Triangle JKL is similar to triangle PQR. J Q x 3 10 8 R P 5 K L 6 Which three proportions can be used to find the value of x?

Practice for SOL 7.7 Students need additional practice classifying a given figure. Which classifications must describe the figure shown? A square and parallelogram B trapezoid and parallelogram C square and quadrilateral D trapezoid and quadrilateral 20

Practice for SOL 7.7 a) Identify the classifications to which this figure belongs. Parallelogram Trapezoid Quadrilateral Rhombus Rectangle b) Select each figure that appears to be a rectangle.

Practice for SOL 7.7 Which classifications describe this figure? Parallelogram Trapezoid Quadrilateral Square Rhombus Rectangle 22

Practice for SOL 7.7 Which classifications appear to describe both of these figures? Parallelogram Trapezoid Quadrilateral Square Rhombus Rectangle

Practice for SOL 7.7 Select each property that is true for any rhombus. There is exactly one pair of parallel sides. There are exactly two pairs of parallel sides. There are exactly four congruent sides. There are exactly four right angles. There are exactly two pairs of congruent opposite angles. There are exactly four congruent angles.

Practice for SOL 7.7 Select each classification that does NOT describe this figure. Parallelogram Rhombus Rectangle Trapezoid Square Quadrilateral

Practice for SOL 7.8 Students need additional practice dilating a figure on a coordinate plane. Polygon ABCD is dilated by a scale factor of using the origin as the center of dilation. What coordinate pair best represents the image of B ? A B C D

Practice for SOL 7.8 a) Identify the coordinates of the image of triangle ABC after a dilation about the origin by a factor of 2. b) Identify the coordinates of the image of triangle ABC after a rotation of 180 degrees counterclockwise about the origin. A c) Identify the coordinates of the image of triangle ABC after a reflection over the y-axis. B C d) Identify the coordinates of the image of triangle ABC after a translation 5 units to the right. A (-7,3) B (-7,-2) C (-1,-2)

Practice for SOL 7.8 1. Identify the coordinates of the image of triangle ABC after a dilation about the origin by a factor of 2. y A 2. Identify the coordinates of the image of triangle ABC after a rotation of 180 degrees clockwise about the origin. x C B 3. Identify the coordinates of the image of triangle ABC after a reflection over the y-axis. A (-2,4) B (-2,-3) C (-4,-3)

Practice for SOL 7.8 A rectangle is plotted on the coordinate plane as shown. Draw the graph of the rectangle rotated 90 degrees counterclockwise about the origin? 29

Practice for SOL 7.9 These cards are the same size and shape. They are placed inside a bag. A B C D E F A card is randomly selected and then placed back inside the bag. This is done 30 times. The card with an A is selected 3 times. 1) What is the theoretical probability of selecting a card with an A? 2) What was the experimental probability of selecting a card with an A? 3) Compare and contrast the theoretical and experimental probabilities of selecting a card with an A after a card is randomly selected 1,000 times.

Practice for SOL 7.10 This table shows the types of pizza and drink selections at a party. Type of Pizza Drink Pepperoni Apple Juice Vegetable Orange Juice Plain Cheese Cola Water Maya will randomly select one type of pizza and one drink from these choices. What is the probability that Maya will select pepperoni pizza and cola? A B C D

Practice for SOL 7.10 The letters A, B, C, D, and E can be used to create a four letter code for a lock. Each letter can be repeated. What is the total number of four letter codes can be made using these letters?

Practice for SOL 7.10 A fair coin has faces labeled heads and tails. A fair cube has faces labeled A, B, C, D, E, and F. Adam will flip this coin and roll the cube one time each. What is the probability that the coin will land with tails face-up and the cube will land on the letter A?

Practice for SOL 7.10 The letters A, B, C, and D can be used to create a code for a lock. 1) Each letter can be repeated. What is the total number of four-letter codes that can be made using these letters? 2) Each letter can be repeated. What is the total number of three- letter codes that can be made using these letters? Extension: No letter can be repeated. What is the total number of three-letter codes that can be made using these letters?

Practice for SOL 7.10 S A fair coin has faces labeled heads and tails. A fair cube has faces labeled 1, 2, 3, 4, 5, and 6. Adam will flip this coin and roll the cube one time each. 1) What is the probability that the coin will land with heads facing up and the top side of the cube will be a number that is composite? 2) What is the probability that the coin will land with tails facing up and the top side of the cube will be a number that is a multiple of 2?

Practice for SOL 7.11a The graph describes the number of students in each classroom during first block at a high school. Number of Students By Classroom in First Block 9 8 7 Number of Classrooms 6 5 What percent of the classrooms have at least 21 students during first block? 4 3 2 1 0 11-15 16-20 21-25 26-30 31-35 Number of Students

Practice for SOL 7.11b Jamie recorded the time it took 25 students to complete a mathematics test. She created a histogram and a stem-and-leaf plot to represent the data. To determine the median of the data set, Jamie analyzed the a) histogram because it showed each value in the set of data b) stem-and-leaf-plot because it showed each value in the set of data c) histogram because the median is always the bar with the greatest height d) stem-and-leaf-plot because the median is always the leaf that appears most often

Practice for SOL 7.12 Which table of values represents the same relationship as the rule ? y y x x A C -3 -3 -3 -3 0 6 -2 -12 5 21 5 24 B D x y y x -2 -12 -3 -15 0 6 -2 0 5 24 5 21

Practice for SOL 7.12 Graph three points that are on the line represented by . The coordinates of the points must be integers.

Practice for SOL 7.12 Plot three points on the coordinate plane that lie on the relation represented by . The coordinates of the points must be integers.

Practice for SOL 7.12 Which number sentence represents the relation shown in this table? x y a) - -2 2 - -11 11 2 2 1 1 b) 6 6 13 13 c) d)

Practice for SOL 7.12 Which rule is best represented by this graph? A B C D

Practice for SOL 7.12 Larry charges a customer a one-time fee of $15 plus $40 each week. Which table has values that represent this situation? Total Amount of Charges Total Amount of Charges A C Number of Weeks Number of Weeks 1 $15 1 $55 3 $45 3 $135 B D Total Amount of Charges Total Amount of Charges Number of Weeks Number of Weeks 1 $55 1 $15 3 $165 3 $95