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SIMON BARUCH MIDDLE SCHOOL 104 330 EAST 21ST STREET, NEW YORK, NY 10010 TEL: 212-674-4545 / FAX: 212-477-2205 Ms Gaetani Principal Mr. Daly Ms Goldstein Mr. Macri Assistant Principal Assistant Principal Assistant Principal GRADE 8 There is space provided for you to show your working for each question. Once you have the correct answer, bubble in the appropriate spot on the scan card. To gain full credit you MUST show working where appropriate. Name:_______________________________________ Class: ___________________ 1 John drew the graph below to represent a situation Which statement could describe the situation John graphed? A B C D The temperature of a frozen pizza cooking in a microwave oven increases 5 degrees every minute The temperature of a frozen pizza cooking in a microwave oven increases 10 degrees every minute The temperature of a frozen pizza cooking in a microwave oven increases 15 degrees every minute The temperature of a frozen pizza cooking in a microwave oven increases 20 degrees every minute 2 The cost of one burrito, b, and one taco, a, is less than the cost of two burritos. Which inequality represents this relationship? A b + a < 2b B b + a < b2 C 2b < b + a D b2< b + a 3 What is the product of (6a2b3c4) and (3a3b4c)? A 9a5b7c4 Grade 8 December 08 B 9a5b7c5 C 18a5b7c5 D 18a5b7c4 1 4 Simplify the expression (3x3 + 2x2 – 5x) + (-8x3 + 3x) A -11x3 + 2x2 - 2x B 11x3 – 2x2 + 8x C -5x3 + 2x2 – 2x D 5x3 – 2x2 -8x 5 What is the product of the expression (2x – 5)(2x – 3)? A 4x2 + 16x + 15 B 4x2 – 16x – 15 C 4x2 + 16x – 15 D 4x2 – 16x + 15 6 In the figure below, angles R and S are formed by two intersecting lines If angle R measures 550, what is the measure of angle S? A 350 B 550 C 1100 D 1250 7 Simplify the expression (3a2 + 5a – 11) – (11a2 + 2a – 12) A -8a2 + 3a + 1 B -8a2 + 7a – 23 C 14a2 + 7a + 1 D 14a2 + 3a – 23 3 of the 4 original price, p. She has a $40 discount coupon she will use during the sale. Which equation should Ms Meta use to find the final price, f, of a television? 8 Ms Meta wants to buy a television at an electronics store. All televisions at the store are A f= 3 (p - 40) 4 B f= Grade 8 December 08 1 (p – 40) 4 C f= 1 p - 40 4 D f= 3 p – 40 4 2 9 Multiply the expression -3x(x-4) A -3x2 – 4 B -3x2 – 7 C -3x2 – 12x D -3x2 + 12x 10 In the diagram below, NP and ST are parallel lines and the line MQ intersects both lines. What is the measure of x? A 400 B 900 C 1400 D 1800 11 Which two angles in the triangles below are complementary? A BAC and CAD B CDA and CAD C ABC and BAC D BCA and ACD 12 Janine’s dog weighs three pounds less than twice the weight of Wanda’s dog, d. Which expression represents the weight of Janine’s dog? A 2 + d -3 Grade 8 December 08 B 3+d–2 C 2d -3 D 3 – 2d 3 13 The table below shows a relationship between x and y. x 2 5 6 y 6 9 10 9 13 Which equation shows the relationship between x and y? A y = 3x B x = 3y C y=x+4 D x=y+4 14 Lines j and k intersect as shown below Which pairs of angles are congruent? A S and R; T and U C T and S; U and R B R and T; U and S D U and T; T and S 15 Mr. Klag wants to earn at least $150 for charity while running a race. He will earn $20 for participating plus $7 for each mile he runs. If m represents the number of miles he runs, which inequality represents the money Mr. Klag wants to earn? A 7m + 20 ≤ 150 Grade 8 December 08 B 7m + 20 ≥ 150 C 20m + 7 ≤ 150 D 20m + 7 ≥ 150 4 16 In the diagram below, line f and line h are parallel, and line n is a transversal. Which term expresses the relationship between 1 and 8? A adjacent B congruent C supplementary D complementary 17 Based on the Pythagorean Theorem, which relationship is true for the sides of the triangle shown? A 82 + 102 = 62 18 B 62 + 82 = 102 C 62 + 82 = 10 D 62 + 102 = 82 In the diagram below, JL intersects KM at point K What is the measure of JKM? A 300 B 600 Grade 8 December 08 C 1200 D 1800 5 19 In the diagram below, G and H are complementary. What is the measure of G? A 200 B 300 C 400 D 500 20 Ms Harris filled a swimming pool with water. When she started, the pool already contained 1,500 gallons of water. The table below shows the number of galloons of water in the pool after filling it for h hours. Gallons of water in the pool Number of hours h 1500 0 2100 1 2700 2 3300 3 3900 4 Which equation can be used to estimate the number of gallons, g, of water in the pool after h hours? A g = 600h Grade 8 December 08 B g = 1,500h C g = 1,500 + 600h D g = 1,500h + 600 6 Answer Key Question 1 2 3 4 5 6 7 8 9 10 Answer 4 1 3 3 4 2 1 4 4 3 11 12 13 14 15 16 1 3 3 3 2 2 17 2 18 19 20 2 4 3 Grade 8 December 08 Standard A3 Describe a situation involving relationships that matches a given graph A1 Translate verbal sentences into algebraic inequalities A6 Multiply and divide monomials A7 Add and subtract polynomials (integer coefficients) A8 Multiply a binomial by a monomial or binomial (integer coefficients) G1 Identify pairs of vertical angles as congruent A7 Add and subtract polynomials (integer coefficients) A1 Translate verbal sentences into algebraic inequalities A8 Multiply a binomial by a monomial or binomial (integer coefficients) G5 Calculate the missing angle measurements when given two parallel lines cut by a transversal G2 Identify pairs of supplementary and complementary angles A2 Write verbal expressions that match given mathematical expressions 7A10 Write an equation to represent a function from a table of values G1 Identify pairs of vertical angles as congruent A1 Translate verbal sentences into algebraic inequalities G4 Determine angle pair relationship when given two parallel lines cut by a transversal 7G8 Use the Pythagorean Theorem to determine the unknown length of a side of a right triangle G3 Calculate the missing angle in a supplementary or complementary pair G3 Calculate the missing angle in a supplementary or complementary pair 7A10 Write an equation to represent a function from a table of values 7