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WorksheetsStandardized Test Review
Total questions: 40
Worksheet time: 20mins
Name
Class
Date
1.
It takes light 0.000000001 second to travel 30 cm. What is this number of seconds written in scientific notation?
a)
1.0 x 109
b)
1.0 x 108
c)
1.0 x 10-8
d)
1.0 x 10-9
2.
The table shows the results when a number cube was rolled. What is the experimental probability of rolling a one?
a)
39/50
b)
11/50
c)
1/6
d)
9/50
3.
The table shows the probability distribution of the number of televisions per household in a neighborhood. What is the probability that a household in this neighborhood has at least one television?
a)
.95
b)
.44
c)
.28
d)
.23
4.
In the figure, triangle ABC is inscribed in the circle, centered at O, and
AB = BC = √2. What is the area of the shaded region?
Hint: Area of the Circle - Area of the Triangle
AB = BC = √2. What is the area of the shaded region?
Hint: Area of the Circle - Area of the Triangle
a)
4π + 1
b)
4π - 1
c)
π + 1
d)
π - 1
5.
In triangle ABC, the ratio of x to y is 2 to 3. What is the value of x?
a)
20
b)
26
c)
40
d)
52
6.
Which scatterplot shows that x and y have no correlation?
a)
A
b)
B
c)
C
d)
D
7.
If a Δ b = a(a - b) and a ο b = b(b + a) what is the value of:
( 8 Δ 5) + (8 ο 5)
( 8 Δ 5) + (8 ο 5)
a)
21
b)
29
c)
89
d)
128
8.
p is an integer and 7p is even
Column A - The remainder when p is divided by 2
Column B - 1
Column A - The remainder when p is divided by 2
Column B - 1
a)
The quantity in Column A is greater
b)
The quantity in Column B is greater
c)
The two quantities are equal
d)
There is not enough information to decide
9.
A car traveled m miles. The average speed of the car, in miles per hour, was x. The average speed of the car in miles per minute, was y.
Column A - x
Column B - y
Column A - x
Column B - y
a)
The quantity in Column A is greater
b)
The quantity in Column B is greater
c)
The two quantities are equal
d)
There is not enough information to decide
10.
a)
A
b)
B
c)
C
d)
D
11.
The line containing points (1,-4) and (4,-7) must also contain point
a)
(10,-10)
b)
(0,-1)
c)
(-1,-2)
d)
(-5,3)
12.
The solution of which of the following inequalities is the set of all numbers that are more than 2 units from 6?
Hint: Think TARGET and WIGGLE ROOM
Hint: Think TARGET and WIGGLE ROOM
a)
|x| - 2 > 6
b)
|x - 2| > 6
c)
|x - 6| > 2
d)
|x| - 6 > 2
13.
If a and b are constants and
(ax + b)(2x - 3) = 2x2 + 5x - 12
for all values of x, what is the value of a + b?
Hint: What value of a would give you a F (FOIL) of 2x2? What value of b would give you a L (FOIL) of -12?
(ax + b)(2x - 3) = 2x2 + 5x - 12
for all values of x, what is the value of a + b?
Hint: What value of a would give you a F (FOIL) of 2x2? What value of b would give you a L (FOIL) of -12?
a)
3
b)
4
c)
5
d)
6
14.
Each of the teachers in Town School ordered the same number of candy bars, but some teachers ordered the candy bars in packs of 9, some ordered the candy bars in packs of 4 and some in packs of 15. What is the smallest number of candy bars that each teacher could have ordered?
a)
90
b)
540
c)
60
d)
180
15.
If a = b what is the value of
3 + 5(a-b)?
3 + 5(a-b)?
a)
0
b)
8
c)
3
d)
5
16.
A fair coin is tossed 4 times. What is the probability that it will land heads up all four times?
a)
2
b)
½
c)
⅛
d)
1/16
17.
The formula for density is d = m/v, where m stands for mass in grams and v stand for volume in cubic centimeters. If steel has a density of 7.82 g/cm3, what is the mass of a rectangular steel beam measuring 30 cm wide, 20 cm high and 6 meters long?
a)
460.36 g
b)
28,152 g
c)
46,035.81 g
d)
2,815,200 g
18.
If m = 7(3 + 5)k and k is a positive integer, which of the following must be a factor of m?
a)
5
b)
10
c)
14
d)
21
19.
A flower bed contains 72 orange lilies, 65 yellow roses, 55 yellow marigolds, and 120 green ferns. What is the ratio of orange flowers to yellow flowers?
a)
3 to 5
b)
3 to 8
c)
3 to 10
d)
3 to 13
20.
In 1972, a loaf of bread cost $0.89. In 2000, the same loaf of bread cost $2.69. The price of bread increased by about what percent?
Hint: Think ratio of the change in price to the original price
Hint: Think ratio of the change in price to the original price
a)
33%
b)
67%
c)
200%
d)
300%
21.
Solve x2 + 5x + 6 = 0
Hint: Factor. Then think - what number makes each piece zero?
Hint: Factor. Then think - what number makes each piece zero?
a)
x = 2, 3
b)
x = 2,-3
c)
x = -2,-3
d)
x = -2,3
22.
What are the x- and y-intercepts of the equation 3x - 2y = 5
a)
x = 5/3
y = -5/2
y = -5/2
b)
x = -5/3
y = 5/2
y = 5/2
c)
x = 2
y = 3
y = 3
d)
x = 5/3
y = 5/2
y = 5/2
23.
The ratio of two integers is 5:3 and their sum is 320. What are they?
a)
175 and 105
b)
100 and 220
c)
120 and 200
d)
50 and 30
24.
What is the value of (2x - 3)(y + 2) when x = 4 and y = -5?
a)
35
b)
15
c)
-63
d)
-15
25.
Simplify (4x)2
a)
8x2
b)
4x2
c)
16x2
d)
6x2
26.
Solve 4x - 6 = -2(x - 9)
a)
x = -4
b)
x = 4
c)
x = 2
d)
x = -2
27.
How many terms does the following expression have AFTER it is simplified:
4a2b3 + ab - a2b3 + a - b4 + ab2 + 10ab + b4
4a2b3 + ab - a2b3 + a - b4 + ab2 + 10ab + b4
a)
3
b)
8
c)
5
d)
4
28.
Factor 25x4 - 225
a)
(5x2 - 15)(5x2 + 15)
b)
(5x2 + 15)(5x2 + 15)
c)
(5x2 - 25)(5x2 + 25)
d)
(5x2 - 15)(5x2 - 15)
29.
Simplify 35 - 4(5-7)
a)
-62
b)
27
c)
43
d)
62
30.
Together Charlie and Patty have 45 books. Patty has twice as many books as Charlie. Let c represent the number of books Charlie has and p the number of books Patty has. Which of the following systems of equations best expresses this information?
a)
c + p = 45
p = 2c
p = 2c
b)
c + p = 45
c = 2p
c = 2p
c)
c = 2p
p = c + 45
p = c + 45
d)
p = 2c
c = p + 45
c = p + 45
31.
You have 12 coins (dimes and quarters). Their value is $2.25. Write the system of equations that can represent this situation.
a)
x - y = 12
.10x + .25y = 2.25
.10x + .25y = 2.25
b)
10x + 25y = 2.25
x + y = 12
x + y = 12
c)
x + y = 2.25
x + y = 12
x + y = 12
d)
x + y = 12
.10x + .25y = 2.25
.10x + .25y = 2.25
32.
You have four times as many pencils as your tablemate. If you have p pencils, how many does your tablemate have?
a)
4p
b)
p + 4
c)
p ÷ 4
d)
p - 4
33.
Sue is three times older than Mark. Jack is 4 years older than Mark. Their total age is 54. How old is Mark?
a)
10
b)
14
c)
30
d)
24
34.
Your cell phone costs a fixed $40 per month and an additional $3 per minute. Write an expression to represent your total cell phone bill if you have used m minutes.
a)
40 + m + 3
b)
40m + 3
c)
40 + 3m
d)
3m - 40
35.
Simplify a3(ab2)-2
a)
a3a-2b-4
b)
a/b4
c)
a4b0
d)
a4b-4
36.
Simplify (x+3)/4 + (4x - 5)/7
Hint: Think Common Denominator (and Distributive Property)
Hint: Think Common Denominator (and Distributive Property)
a)
(23x + 1)/28
b)
(5x - 2)/11
c)
(19x + 1)
d)
(23x + 41)/28
37.
If x2 + y2 = 3 and xy = -5 what is the value of (x-y)2?
Hint: First expand (x-y)2 by using FOIL. Then rearrange and substitute.
Hint: First expand (x-y)2 by using FOIL. Then rearrange and substitute.
a)
-4
b)
13
c)
-2
d)
-7
38.
Simplify (x2/y) ÷ (x/y3)
a)
x3/y4
b)
xy/x2y3
c)
x2/y3
d)
xy2
39.
Simplify (4x3 + 12x2 + 8x) ÷ (2x + 4)
Hint: Use FOIL with (2x + 4) and your answer choices.
Hint: Use FOIL with (2x + 4) and your answer choices.
a)
(2x - 2)
b)
(2x2 + 2)
c)
(2x2 + 2x)
d)
(2x2 - 2x)
40.
Solve the equation (x-4)/3 - x/4 = 3.
Hint: Find a common denominator and zoom in on the top.
Hint: Find a common denominator and zoom in on the top.
a)
19
b)
20
c)
52
d)
54
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