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7th grade semester final review

Total questions: 78

Worksheet time: 3hrs 19mins

Name
Class
Date
1.
Say 'TRUE' or 'FALSE'
π is not a rational number
a)
TRUE
b)
FALSE
2.
The number
0.211211121111211111..... is a _____
a)
terminating decimal
b)
non-terminating repeating decimal
c)
non-terminating and non-repeating decimal
d)
none of the above
3.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
4.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
5.
Convert 0.444... to a fraction.
a)
4/10
b)
4.4/99
c)
4/9
d)
2/5
6.
a)
2/3
b)
-2/3
c)
3/5
d)
-3/5
7.
Describe √2 as rational, irrational, not real, or natural. If a real number, give the approximate value.
a)
Rational, 1.4
b)
Irrational, 1.4142..
c)
Not real
d)
Natural, 1
8.
A non-terminating decimal is which type of number?
a)
Rational 
b)
Irrational
9.
A repeating decimal is what type of number?
a)
Rational 
b)
Irrational
10.
What mathematical operation do ratios involve?
a)
addition
b)
subtraction
c)
multiplication
d)
division
11.
Find the unit rate of one diaper if a box of 35 diapers costs $6.99.
a)
$244.65
b)
$1.00
c)
$6.99
d)
$0.20
12.
If there are 20 apples in the fridge and 9 on the table, what is the ratio of apples in the fridge to apples on the table?
a)
9/20
b)
20/9
c)
9.20
d)
20.9
13.
Which is the better buy? a 12 pack of Coke for $3.50 or a six pack of Coke for $1.80?
a)
The 12 pack of Coke
b)
The 6 pack of Coke
c)
Neither
d)
They are the same
14.
22 miles per hour
a)
Ratio
b)
Rate
c)
Unit Rate
15.

It cost me $46.80 to fill my 13-gallon gas tank. What was the price of gas per gallon?

a)

$3.60

b)

$3.55

c)

$3.40

d)

$3.50

16.

A rate is a ratio that compares

a)

A part to a part

b)

A part to a whole

c)

Quantities with different units

d)

Quantities with the same units

17.
Ruben bought a Halloween costume with a 25% discount, if the costume cost $43.25. How much did he save?
(Round to the nearest hundredth if necessary)  
a)
$10.8125
b)
$10.81
c)
$32.44
d)
$52.30
18.
Adam bought a Supreme sweatshirt with a 50% discount. If the sweatshirt cost $64.75, how much did Adam pay? 
(round to the nearest hundredth if necessary)
a)
$32.38
b)
$32.375
c)
$32.10
d)
$602.3
19.
Tyler bought a  pair of yeezys with a 25% markup. If the yeezys cost $282, how much would they cost. 
a)
$3000
b)
$352.50
c)
$103
d)
$1378
20.
Mark's Doughnut Shop is having an 8% sale on all there doughnuts. If 1 doughnut cost $0.56, how much would it cost for 50 doughnuts?
a)
$350
b)
$0.07
c)
$26
d)
$25.76
21.
Ben bought a Rolex for $150,000 with a 100% markup, how much will it cost?
a)
$300,000
b)
$30,000
c)
$30,000,000
d)
$3,000
22.
Melgar bought a pack of gum for $2 with a 3% markup, how much will it cost?
a)
$1.50
b)
$2.03
c)
$3.50
d)
$2.06
23.
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)
$841
c)
$58.43
d)
$905.50
24.
How much tip should you leave if you want to tip 23% at Applebee's on a $27.31 bill?
a)
$6.28
b)
$33.59
c)
$21.03
25.
Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for the computer?
a)
40.50
b)
715.50
c)
6.00
d)
634.50
26.
_________ ________ is the number you multiply by the sides to create a similar figure.
a)
Scale Factor
b)
Corresponding Angle
c)
Pi
d)
Mid Point
27.
Line AB corresponds with what line? 
a)
XZ
b)
XY
c)
YZ
d)
YX
28.

a)

impossible

b)

.5

c)

1

d)

1.5

e)

2

29.

Fill in the missing part: 4 x ________ = 22

a)
b)
c)
d)
e)
30.
What is the scale factor from the small shape to the big shape?
a)
1/2
b)
7/3
c)
2
d)
10/3
31.

What is the formula for scale factor?

a)

newold\frac{new}{old}

b)

oldnew\frac{old}{new}

32.
The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.
a)
165 miles
b)
50 miles
c)
82.5 miles
d)
41.25 miles
33.
Robbie made a scale drawing of a neighborhood park. A soccer field in the park is 14 inches long in the drawing. The actual field is 98 yards long. What is the scale of the drawing?1 inch = _ yards
a)
1372
b)
5
c)
14
d)
7
34.
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
a)
12 feet
b)
16 feet 
c)
10 feet
d)
4 feet
35.

Put the following in order LEAST to GREATEST:

0.54, 2/5, 0.45

a)

2/5, 0.45, 0.54

b)

0.54, 2/5, 0.45

c)

0.54, 0.45, 2/5

d)

0.45, 2/5, 0.54

36.
Put the rational numbers in order from least to greatest.
-4.2, -4 1/2, -4, 0, 4 
a)
0, -4 1/2, -4.2, 4, -4
b)
-4 1/2, -4.2, -4, 0, 4
c)
-4 1/2, -4.2, -4, 4, 0
37.

Arrange in order from greatest to least: 80%, 0.34 , 34\frac{3}{4} 34\frac{3}{4}

a)

80% > undefined > 0 .34

b)

0 .34 > 80% > undefined

c)

80% > 0 .34 > undefined

38.

910\frac{9}{10} Arrange in order from greatest to least:

-75%, 0.09, 910\frac{9}{10}



​
 



a)

-75% > undefined > 0.09

b)

0.09 > undefined > -75%

c)

undefined >0.09 > -75%

39.
List in order from least to greatest.
5/4, 56%, 1.07, 4/5
a)
5/4, 56%, 1.07, 4/5
b)
1.07, 4/5, 5/4, 56%
c)
56%, 1.07, 4/5, 5/4
d)
56%, 4/5, 1.07, 5/4
40.

Joseph and Mike each have 7 trading cards. Greg has 5 fewer cards than Joseph and Mike combined. How many trading cards does Greg have?

a)

2

b)

5

c)

9

d)

10

41.

Joshua has 612 baseball cards. He gave 419 cards to his brother and then bought 232 new cards. How many cards does Joshua have now?

a)

193

b)

325

c)

425

d)

799

42.

Danielle sorted her marbles into 8 groups. She put 3 red marbles, 3 blue marbles, and 2 yellow marbles in each group. How many marbles did she have in all?

a)

16

b)

18

c)

24

d)

64

43.
A team gains 20 yards.  Then they lose 7 yards.  Find the sum. 
a)
13 yards
b)
27 yards
c)
-13 yards 
d)
-27 yards 
44.

3 + (-6) =

a)

-3

b)

3

c)

-18

d)

18

45.

3 - 9 =

a)

12

b)

6

c)

-6

d)

3

46.

-6 + (-8) =

a)

-14

b)

14

c)

-48

d)

48

47.

-8 / 4 = (divide)

a)

1

b)

2

c)

-2

d)

-4

48.

-4 - (-4) =

a)

8

b)

-4

c)

0

d)

-8

49.

-14 / -2 = (divide)

a)

-7

b)

7

c)

-16

d)

-12

50.

-8 - (-3) =

a)

5

b)

11

c)

-11

d)

-5

51.

Which diagram matches 10+4(−2)=210+4\left(-2\right)=2 ?

a)
b)
c)
d)
52.

What is −12 ÷(−6)?-12\ \div\left(-6\right)?

a)

-2

b)

6

c)

2

d)

18

53.

What is 8(-4)?

a)

32

b)

4

c)

-12

d)

-32

54.

Which representations shows 6 - (-4)?

a)
b)
c)
d)
55.

Which situation represents 32 +(-4)?

a)

The temperature was 32 °\degree F and then it raised 4 more degrees.

b)

Amelia had $32 in her bank account and then decided to buy a necklace for $4. 

c)

Mohamed had 32 pennies and divided them into 4 groups.

d)

Sally had a birthday party and was given $32 by her grandmother and then her little brother gave her $4.

56.
9 x 2 = 2 x 9
a)
Commutative Property of Multiplication
b)
Associative Property of Multiplication
c)
Multiplicative Inverse Property
d)
Distributive Property
57.
This property tells us that you can move the parentheses when you are multiplying and the answer will not change. 
a)
Associative Addition 
b)
Associative Multiplication
c)
Commutative Addition 
d)
Commutative Multiplication 
58.
Using the commutative property, what would be the equivalent expression for 
5 + 6 = ?
a)
6 + 5
b)
5 + 6
c)
11
59.
___ + 5 = 5 + 9
a)
9
b)
19
c)
14
d)
-9
60.
Which property is used in the following expression?
(4 x 2) x 5 = 2 x (5 x 4)
a)
Associative Property of Addition
b)
Commutative Property of Addition
c)
Associate Property of Multiplication
d)
Distributive Property of Multiplication
61.

Choose the property shown.

a)

commutative

b)

associative

c)

distributive

62.

The additive identity property is shown in which of the following?

a)

4 + (-4) = 0

b)

1/4 • 4 = 1

c)

0 + 1/4 = 1/4

d)

4 • 1 = 4

63.
Are these two expressions equivalent?
5(3+2) and 5•3 + 5•2
a)
Yes, because of the associative property
b)
Yes, because of the commutative property
c)
Yes, because of the distributive property
d)
No, these two expressions are not equivalent
64.

Which of the following shows the Identity Property of Multiplication

a)

5 • 0 = 0

b)

8 • 3 = 3 • 8

c)

12 • 1 = 12

d)

8 + 0 = 8

65.

Are these two expressions equivalent?

2 • (3 • 7) and (2 • 3) • 7

a)

Yes, because of the associative property

b)

Yes, because of the commutative property

c)

Yes, because of the distributive property

d)

No, these two expressions are not exquivalent

66.
Compare these two integers.  -5_4
a)
>
b)
=
c)
<
d)
none
67.

Select the inequality shown

a)

x > 1

b)

x ≥ 1

c)

x < 1

d)

x ≤ 1

68.

Select the inequality shown

a)

x > 5

b)

x ≥ 5

c)

x < 5

d)

x ≤ 5

69.
a)
F
b)
G
c)
H
d)
I
70.
For the graph of the following inequality, x - 4 > 20, the solution represented on a number line would have an open circle at what rational number?
a)
16
b)
-5
c)
24
d)
5
71.
a)
A
b)
B
c)
C
d)
D
72.
To  graph any number greater than we use 
a)
open circle, line to the right  
b)
open circle, line to the left 
c)
closed circle to the right
d)
closed circle line to the left
73.
When we multiply or divide an inequality by a negative we ____________.
a)
keep the inequality symbol the same
b)
reverse the inequality symbol
c)
make it equal only
d)
make it less than only
74.
Less than:
a)
≥
b)
≤
c)
<
d)
>
75.
Less than or equal to:
a)
≤
b)
<
c)
>
d)
≥
76.
Greater than or equal to:
a)
<
b)
≤
c)
≥
d)
>
77.
Will my circle be colored in?
5 ≥ x
a)
Yes
b)
No
78.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D

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