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Math 8 ACC PRACTICE EXAM 2012
New Paltz Middle School
Math 8 Accelerated Mid-Year Assessment Exam PRACTICE EXAM
January 2012
Part 1
Directions: Answer all multiple choice questions
1) Which expression represents
(2x 2 )(18x 8 )
in simplest form.
6x
(1) x9
(2) x15
2) Which is the product of
(3) 6x9
(4) 6x15
x5
x2 - 4
and
expressed in simplest form?
3x - 6
x2
(1) x
(2)
(3) x + 5
x5
3
(4)
x
3
3) Which interval notation represents the set of all numbers from 3 through 5 inclusive?
(1) ( 3, 5)
(2) ( 3, 5]
(3) [ 3, 5)
(4) [ 3, 5]
4) Which property is illustrated by the equation c(m + n) = cm + cn
(1) identity
(2) distributive
(3) associative
(4) commutative
5) Factored, the expression 25y2 – 16x2 is equivalent to
(1) (5y – 8x) (5y – 4x)
(2) (5y – 4x) (5y – 4x)
(3) (5y – 8x) (5y + 4x)
(4) (5y – 4x) (5y + 4x)
6) The expression x2 – 100 is equivalent to...
(1) (x – 10) (x + 10)
(2) (x – 50) (x + 50)
(3) (x – 2) (x + 50)
(4) (x + 2) (x - 50)
7) Given:
Set A: { (-3, 4), (-2, 0), (1, 8)}
Set B: { (-3, 4), (-8, 4), (1, 8), (7, 2)}
What is the intersection of sets A and B?
(1) { (-3,4)}
(2) { (-3, 4), (-2,0), (-8, 4), (1, 8), (7, 2)}
(3) { (1,8)}
(4) { (-3,4), (1, 8)}
Math 8 ACC PRACTICE EXAM 2012
8) What is an equation for the line that passes through the coordinates (5,0) and (0,2)?
2
x+5
5
2
(2) y = - x + 2
5
(1) y = -
5
x+5
2
5
(4) y = - x + 2
2
(3) y = -
9) A home repair store sells leaf blowers and cordless drills. The store makes a profit of $50 on the
sale of each leaf blower (b ) and a $85 profit on the sale of each cordless drill (c ). The store believes it
will make a profit of at most $405 per day on the sale of these items, since they assume sales will be
slow this year. Which inequality describes this situation?
(1) 50b + 85c  405
(2) 50b + 85c  405
(3) 50b + 85c  405
(4) 50b + 85c  405
10) What is the slope of the line containing the points (2, 1) and (-8, 9)
(1) (2)
4
5
4
5
8x 5 - 32x 7
11) The expression
2x 4
(1) 4x ( 1 – 8x6)
(2) 8x3 (x2 -2)
3
4
4
(4)
3
(3)
is equivalent to
(3) 4x ( 1 – 4x )
(4) 4x ( 1 – 4x2 )
12) Which value of x is in the solution set of the inequality – 3x + 5  20
(1) 8
(2) - 3
(3) - 5
(4) - 8
13) A rectangle has an area of 48 square units. The width is 8 units less than the length.
What is the length, in units, of the rectangle?
(1) 4
(2) 12
(3) 6
(4) 8
14) What is the product of 2.5 X 106 and 3.0 X 102?
(1) 7.5 X 1012
(2) 7.5 X 108
(3) 7.5 X 104
(4) 7.5 X 107
Math 8 ACC PRACTICE EXAM 2012
15) Which type of graph is shown in the diagram below?
(1) absolute value
(2) quadratic
16) What is the sum of
(3) exponential
(4) linear
f
3f
and
expressed in simplest form?
2
5
11f
10
11f
(2)
7
(1)
4f
10
4f
(4)
7
(3)
17) Which ordered pair is in the solution set of the system of equations y = -x +2 and
y = x2 - 6x + 2?
(Hint: Which (x,y) pair works for both equations when you complete a check procedure?)
(1) (-5, 7)
(2) (-5, 57)
18) For which value of x is
(1) 4
(2) 5
(3) (5, -4)
(4) (5, -3)
x-4
undefined?
x 2 - 25
(3) 0
(4) 25
19) Which verbal expression represents 3(n - 5)?
(1)
(2)
(3)
(4)
three times the quantity n less than 5
three times the quantity 5 less than n
three times n minus 5
three times 5 minus n
Math 8 ACC PRACTICE EXAM 2012
20) Which inequality is represented by the graph below?
(1) y  3x - 1
(2) y  3x - 1
(3) y  3x - 1
(4) y  3x - 1
21) Each graph below represents a possible relationship between temperature and pressure. Which
graph does not represent a function?
Math 8 ACC PRACTICE EXAM 2012
3y 2 - 12y
22) The expression
is equivalent to
4y 2 - y 3
3
y
3
(2) y
(1)
(3) (4)
9
4
3 12
4 y2
23) The solution set for the equation x2 – 5x = 6 is
(Hint: Which pair of x-values both work in the equation above when completing a check procedure?)
(1) {1, -6}
(2) {2, -3}
(3) {-1, 6}
(4) {-2, 3}
24) The expression (x2 – 5x -2) – ( -6x2 -7x – 3) is equivalent to
(1) 7x2 – 12x -5
(2) 7x2 – 2x + 1
25)
(3) 7x2 + 2x + 1
(4) 7x2 + 2x - 5
Which graph represents a direct variation?
(1)
(2)
(3)
(4)
26) If the point (3, 2) is on the line whose equation is y = 2x + b, what is the value of b?
(1) - 1
(2) 4
(3) - 4
(4) 1
27) When 4g2 – 5g + 2 is subtracted from 8g2 + 6g -2, the difference is
(1) 4g2 +1g
(2) -4g2 -11 g + 4
28)
(3) - 4g2 + 1g
(4) 4g2 + 11g - 4
Evaluate:
│2  -1 │ - │ -4 + 3│
(1) 1
(2) 5
(3) - 5
(4) 3
Math 8 ACC PRACTICE EXAM 2012
29) When 3x2 + 15x - 42 is factored completely the result is:
(1) ( 3x -7 ) ( x + 14)
(2) 3 (x2 + 5x - 14)
(3) 3 ( x – 7) (x + 2)
(4) 3 (x + 7) ( x - 2)
30) The table below shows the number of people who attended the town festival each
year during a five-year period.
Town Festival
Year
2000
2001
2002
2003
2004
Number of
People
723
756
798
815
834
What is the approximate percent increase in the number of students from 2000 to 2004?
F 40%
G 35%
H 20%
J 15%
31) What is the product of -4x2y and (6xy2 + xy)?
(1) –24x3y3 – 4x3y2
(2) –24x3y3 – 4x3y
(3) –24x2y2 – 4x2y
(4) –24x3y3 + xy
32) If 4ax + b = c, then x equals
(1) c – b + 4a
(2)
c-b
4a
(3) c + b – 4a
(4)
b-c
4a
33) John and Sara have been selling frozen pizzas for a class fundraiser:
John has sold one-third as many pizzas as Sara. Together they have sold a total of
108 pizzas. How many pizzas did John sell?
(1) 81
(2) 27
(3) 36
(4) 72
34) Nicole’s aerobics class exercises to fast-paced music. If the rate of the music is 140 beats per
minute, how many beats would there be in a class that is 0.25 hour long?
(1) 35
(2) 105
(3) 6,300
(4) 2,100
Math 8 ACC PRACTICE EXAM 2012
35) The gas tank in a car holds a total of 16 gallons of gas, The car travels 75 miles on 4 gallons of
gas. If the gas tank is full at the beginning of a trip, which graph represents the rate of change in the
amount of gas in the tank?
PART 2:
Directions: All work must be shown to receive full credit.
36) Solve for m:
6 + 4m = 10m - 18
37) Determine the value(s) of x which will result in an undefined fraction for the following:
3
x-2
Math 8 ACC PRACTICE EXAM 2012
38) Solve for x:
5 – 2x ≥ 8 + x
PART 3:
Directions: All work must be shown to receive full credit.
39) Solve for x :
3x  3 7 x - 1

3
5
40) Solve the following inequality and graph:
y + 2x  5
Math 8 ACC PRACTICE EXAM 2012
41)
Part A: Complete the table for the quadratic
equation y = x2 – 8x + 12.
x
1
2
3
4
5
6
7
Part B: Construct a graph based on
your results in Part A
Part C: What is the turning point?
_________________
What are the roots?
_______________________
x 2 – 8x + 12
y