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Pre-Algebra Q2 Benchmark Review

Total questions: 73

Worksheet time: 18hrs 15mins

Name
Class
Date
1.
Classify the number 3
a)
Natural, Whole, Integer, Rational
b)
Whole, Rational
c)
Integer
d)
Rational
2.
Classify the number 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
3.
All whole numbers are rational numbers
a)
True
b)
False
4.
What is the definition of an integer
a)
All positive and negative whole numbers
b)
Decimals or fractions that terminate for repeat
c)
All positive whole numbers
d)
0
5.
Which statement is NOT true?
a)
Every rational number is also a whole number.
b)
Every counting number is a whole 
c)
Every integer is a rational number.
d)
Every whole number is an integer number.
6.
List all the classifications of numbers that apply to the real number. 
436
a)
Irrational 
b)
Rational, Integer, Whole
c)
Natural, Whole, Integer, Rational
d)
Rational, Integer
7.

Classify the number:

a)

rational, real

b)

whole, Integer, rational, real

c)

integer, irrational, real

d)

irrational, real

8.

Which number is an irrational number?

a)

2.33333 . . .

b)

5.72314.....

c)

5.72

d)

52

9.

Classify the number:

a)

integer, rational, real

b)

rational, real

c)

irrational, real

d)

whole, integer, rational, real

10.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
11.
Which number is NOT a perfect square?
a)
196
b)
169
c)
121
d)
132
12.
Between which two whole numbers is the 
√20 ?
a)
5 and 6
b)
10 and 2
c)
4 and 5
d)
3 and 4
13.
 Which is the best estimate of the of √3?
a)
1 
b)
2
c)
1 ⅔
d)
2 ⅔
14.
The square root of 99 falls between which two consecutive whole numbers?
a)
7 and 8
b)
8 and 9
c)
10 and 11
d)
9 and 10
15.
Find the best estimate for √18 .
Look at the number line.
a)
4.2
b)
4.4
c)
5.1
d)
4
16.

Level 4

Order from least to greatest.

a)

√45, 9, 6, √63

b)

6, √45, √63, 9

c)

6, √45, 9, √63

d)

√45, √63, 6, 9

17.

Solve.

-5(x+7)=-5x+35

a)

No Solution

b)

Identity

c)

-35

d)

7

18.

Solve.

6(4x+2)= 3(8x+4)

a)

All Real Numbers

b)

No Solution

c)

12

d)

6

19.

Solve.

-2(2f-4)= -4(-f +2)

a)

2

b)

16

c)

-8

d)

No Solution

20.

Solve.

-x-11 = 2x+4

a)

-5

b)

3

c)

All Real Numbers

d)

5

21.

Solve.

5p + 6= 4p-8

a)

14

b)

14/9

c)

3

d)

-14

22.

Solve.

-2m+13=2m-3

a)

4

b)

No Solution

c)

-4

d)

2

23.

Solve.

-x -11= 2x+4

a)

-5

b)

10

c)

-15

d)

15

24.

Solve.

22(g-1)=2g+8

a)

1.5

b)

All Real Numbers

c)

11

d)

22

25.

Solve.

-(4y-8) = 2(y+4)

a)

0

b)

No Solution

c)

6

d)

-2

26.

Solve.

11w + 2(3w-1)=15w

a)

2

b)

1

c)

No Solution

d)

5

27.
The Pythagorean Theorem is
c2 = a2 - b2  
a)
false
b)
true
28.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
29.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
30.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
31.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

32.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
33.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
34.
The Pythagorean Theorem is
a2 + b3 = c4
a)
false
b)
true
35.

a= 12, b= 35, c= ? Find c

a)

32

b)

37

c)

19

d)

20

36.

What is the name for side c?

a)

head

b)

body

c)

hippopotamus

d)

hypotenuse

37.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
38.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

39.
There were 5 ice cream cones for every 3 brownies sold at the ice cream shop. If there were 24 brownies sold, how many ice cream cones were sold?
a)
8
b)
15
c)
40
d)
29
40.
Two ratios that are equal are
a)
similar sides
b)
unit rates
c)
congruent
d)
proportional
41.
A scale drawing of a billboard uses the scale 4 cm:9 ft. The length of the billboard in the drawing is 11 cm. How long is the actual billboard?
a)
13 ft
b)
20.75 ft
c)
24.75 ft
d)
22 ft
42.
Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?
a)
$12
b)
$1.50
c)
$3
d)
$1
43.
2. COMPUTERS About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many would you expect to have a personal computer?
a)
39 Computers
b)
4.3 Homes
c)
39 Homes
d)
4.3 Computers
44.
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
a)
2.5 cups milk
b)
1.75 cups milk
c)
2 cups flour
d)
2.25 cups milk
45.
Sales tax is __________ to the price
a)
subtracted
b)
added
c)
multiplied
d)
divided
46.
How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?
a)
$957.44
b)
$840.00
c)
$58.44
d)
$840.57
47.
How much would the tip be if you left 18% on a $75.45 steak dinner?
a)
$ 13.58
b)
$ 89.03
c)
$ 61.87
d)
$135.80
48.
Discount is ____________ from the price.
a)
added
b)
divided
c)
subtracted
d)
multiplied
49.
Eliza bought a meal that cost $12.00. She tipped the waiter 25% of that amount. How much was the tip?
a)
$ 15.00
b)
$ 12.25
c)
$3.00
d)
$4.00
50.
Sam bought an $85.00 jacket for 40% off of the regular price.  How much did he pay for the jacket?  (Hint- you're finding the sale price)
a)
75
b)
51
c)
36
d)
34
51.
The regular price of a sofa is $599.99. 
If there sales tax is 6%
How much will the sofa cost?
a)
$508.79
b)
$479.99
c)
$635.99
d)
$489.59
52.

A store has a sale for 25% off. You want a sweater that usually cost $30. How much money will you save?

a)

30.00

b)

22.50

c)

7.50

d)

37.50

53.

Find the height of a door on a scale drawing if the door is 2 meters tall and the scale is 1 centimeter = 4 meters. Round to the nearest tenth

a)

2 cm

b)

1/2 cm

c)

8 cm

d)

1/4 cm

54.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

55.

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

a)

6 cm

b)

486 cm

c)

9 cm

d)

54 cm

56.
A scale model of a house is 1 ft long. The actual house is 36 ft long. In the model, the door is 2 in. high. How many feet high is the actual door?
a)
12 feet
b)
6 feet
c)
18 feet
d)
4 feet
57.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
58.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
59.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
60.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
61.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
62.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
63.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
64.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
65.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180 Rotation
d)
Translation 2 units down
66.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
67.
Describe the Translation
a)
Translation
b)
Reflection
c)
Rotation
68.
All angles in similar figures are congruent.  
a)
True
b)
False
69.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
70.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
71.
Sides in similar figures must be proportional.  
a)
True
b)
False 
72.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
73.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft

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