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Transcript
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