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Mid-Year Review LV1

Total questions: 79

Worksheet time: 3hrs 1mins

Name
Class
Date
1.

Integers are

a)

all positive numbers only.

b)

all negative numbers only.

c)

all whole numbers (including 0) and their opposites

d)

percentages, fractions, & square root.

2.
Which is an integer?
a)
0
b)
3/4
c)
5.24
d)
√7
3.

      0.30.\overline{3}    is considered a ________ decimal.

a)

repeating

b)

terminating

4.
A fraction is which type of number?
a)
Rational
b)
Irrational
c)
Integer
d)
Whole
5.
Classify the Number: -23
a)
Rational
b)
rational, integer
c)
integer
d)
rational, whole
6.

In Buffalo, New York, the temperature was -4°F in the morning. If the temperature dropped (got colder) 6°F, what is the temperature now?

a)

10 °F

b)

-21°F

c)

-10°F

d)

21°F

7.
-14 + (-3)
a)
-17
b)
11
c)
-11
d)
17
8.
-8 + 20
a)
-28
b)
28
c)
14
d)
12
9.
What is the additive inverse of -5?
a)
-5
b)
0
c)
5
d)
-0
10.
0.8 is a rational number
a)
True
b)
False
11.
0 is a whole number
a)
True
b)
False
12.
Explain the error
a)
-1.2 isn't an integer.
b)
-2 isn't a whole number and 3.4 isn't a rational number.
c)
-2 isn't a whole number and -1.2 isn't an integer.
d)
The numbers are graphed correctly.
13.

In his garden Tim plants a tomato seed 5¼ inches below the ground. After one month the tomato plant has grown a total of 11½ in. How many inches is the plant above the ground?

a)

16¾ inches

b)

6½ inches

c)

6¼ inches

14.

10\sqrt{10}  

a)

Rational

b)

Irrational

15.
3.4567...
a)
Rational
b)
Irrational
16.

Bella can skate 4234\frac{2}{3} miles per hour.  How many miles can she skate in  3123\frac{1}{2}  hours? 

a)

14 2/3 miles

b)

16 1/3 miles

c)

1 1/3 miles

d)

15 miles

17.
In between what two integers is the square root of 44?
a)
3 and 4
b)
4 and 5
c)
5 and 6
d)
6 and 7
18.

What is the approximate value of 27\sqrt{27} ?

a)

5.2 units

b)

3 units

c)

13.5 units

d)

6 units

19.

Which set of numbers contains only rational numbers?

a)

{ 2, 4.5, √16, ⅔ }

b)

{ -3, -2, √18, 4.2 }

c)

{ π, 4, 0.345329... , -√25 }

d)

{ √27, π, - √3, 7.234812... }

20.
a)
2  1/5
b)
2  4/15
c)
6  8/15
d)
  1  1/5
21.

(123)2=\left(1\frac{2}{3}\right)^2=  

a)

3133\frac{1}{3}  

b)

2792\frac{7}{9}  

c)

925\frac{9}{25}  

22.

The cube root of 64 is

a)

4

b)

8

c)

16

d)

32

23.

23323^3  means

a)

23 + 23 + 23

b)

23 x 3

c)

23 x 23 x 23

d)

3 + 23

24.

A square with side length s has an area of 0.81 square units. What is the length of the side of the square?

a)

0.9 units

b)

0.6561 units

c)

0.405 units

d)

0.3 units

25.

In Buffalo, New York, the temperature was -4°F in the morning. If the temperature dropped to -10°F, what is the change in temperature?

a)

-10 °F

b)

-14°F

c)

-6°F

d)

21°F

26.

Convert 0.2560.2\overline{56} to fraction form.  Write your fraction in simplest form.

(a)  

27.

The area of a square painting is 81 cm2cm^2  . What is the length of one side?

a)

9

b)

-9

c)

40.5

d)

-40.5

28.

Solve for p when p2=25p^2=25  

a)

55   

b)

5050  

c)

625625   

d)

±5\pm5  

29.

(6)2\left(-6\right)^2  = ?

a)

12

b)

-12

c)

-36

d)

36

30.

A cube with side length s has a volume of 64 cubic units. What is the length of one side?

a)

4

b)

8

c)

16

d)

32

31.

62-6^2  = ? 

a)

36

b)

-36

c)

12

d)

-12

32.

Convert  0.730.7\overline{3}  to fraction form.  Simplify your fraction.   (Note: only the 3 is repeating)



(a)  

33.
a)

-1/16

b)

-1/8

c)

-3/4

d)

1/4

34.

5/8 − (− 7/8)

a)

1 1/2

b)

-1/4

c)

-3 1/2

d)

-2 1/2

35.
a)
-1 1/3
b)
-2 2/3
c)
3 1/3
d)
-3
36.

Find the distance between the two numbers on a number line.

−2.2, 8.4

a)

7.2

b)

-8.2

c)

10.6

d)

-11.6

37.

-1.75 - 2.5

a)

-1.75

b)

-4.25

c)

0.75

d)

-0.75

38.
-8⅚ + -2⅕
a)
-11 1/30
b)
11 1/30
c)
-10 6/11
d)
10 6/11
39.
2 6/9 + (- 5 1/4)
a)
7 11/12
b)
-7 11/12
c)
2 7/12
d)
-2 7/12
40.

Rewrite the problem as addition.


-5.66 - (-4.1)

a)

5.66 + (-4.1)

b)

-5.66 + 4.1

c)

-5.66 + (-4.1)

d)

-5.66 - 4.1

41.

6 + (−19) − (−5)

a)

-30

b)

18

c)

-18

d)

-8

42.

Evaluate: -19 - 10 + 23

a)

-6

b)

52

c)

14

d)

-52

43.

-8 - 8 - 8 =

a)

-8

b)

−24

c)

8

d)

24

44.


(12)(13)(1) =\left(-12\right)\left(-\frac{1}{3}\right)\left(-1\right)\ =  

a)

-4

b)

-36

c)

-⅞

d)

-1/36

45.

(2.5)(-1.2)

a)

-3.7

b)

3.7

c)

3

d)

-3

46.
a)

-32/9

b)

6/45

c)

32/9

d)

-6/45

47.

89÷(89)\frac{-8}{9}\div\left(\frac{-8}{9}\right)  



a)

1-1  

b)

6481\frac{-64}{81}  

c)

6481\frac{64}{81}  

d)

11  

48.

Select ALL possible answers:34+(0.9)Select\ ALL\ possible\ answers:\frac{3}{4}+\left(-0.9\right)  

a)

320\frac{-3}{20}  

b)

0.250.25  

c)

14\frac{1}{4}  

d)

0.15-0.15  

49.

Which expressions are NOT equivalent to -5/8 ? Select all that apply

a)

5/8

b)

-5/-8

c)

-(5/8)

d)

5/-8

e)

-(-5/8)

50.

What is reciprocal (multiplicative inverse) of

35\frac{3}{5}

a)

35-\frac{3}{5}  

b)

53-\frac{5}{3}  

c)

53\frac{5}{3}  

d)

35\frac{3}{5}  

51.

Choose ALL the negative products.

a)

x(x)x\left(x\right)

b)

2(4)(1)(3)-2\left(4\right)\left(-1\right)\left(3\right)

c)

3×(18)-3\times\left(\frac{1}{8}\right)

d)

(5×12)-\left(-5\times\frac{-1}{2}\right)

52.
Simplify 4-2
a)
1/16
b)
-16
c)
1/4
d)
-42
53.
a)
b)
c)
d)
54.
a)
b)
c)
d)
55.
a)
b)
c)
d)
56.
-4x0
a)
-4x
b)
-4
c)
1
d)
-1
57.

Simplify

(2a2b4z)(6a3b2z5)

a)

8a5b6z6

b)

12a6b8z5

c)

12a5b6z6

d)

8a6b8z5

58.

Simplify

a)

x4/3

b)

3x10

c)

36x10

d)

3x4

59.
Simplify the expression: 3x2⋅x2=
a)
3x
b)
3x2+2
c)
3x4
60.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
61.
a)
m4
b)
m6
c)
m10
d)
1/m6
62.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
63.
Multiply:
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
64.
Divide:
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
65.

Write the answer in scientific notation. (4.1 x 105) + (5.5 x 106) =

a)
5.91 x 106
b)
9.6 x 105
c)
9.6 x 1011
d)
4.65 x 105
66.
Which number is correctly written in scientific notation?
a)
10.4 x 103
b)
9.99 x 106
c)
143.002 x 10-4
67.

(9.8×103)+(1.07×105)\left(9.8\times10^3\right)+\left(1.07\times10^5\right)  

a)

10.87 × 10810.87\ \times\ 10^8  

b)

1.087×1091.087\times10^9  

c)

2.15×1052.15\times10^5  

d)

1.168×1051.168\times10^5  

68.

(8.0×1013)(7.5×1012)\left(8.0\times10^{13}\right)-\left(7.5\times10^{12}\right)  

a)

7.25 x 1013

b)

7.25 x 1012

c)

5.0 x 1012

d)

5.0 x 1013

69.

What is the direct proportion equation for the following information. x = 12, y = 16

a)

16 = k(12)

b)

y = kx

c)

y = 4/3 x

d)

k = 16/12

70.

Two slices of Dan’s Famous Pizza have 300

Calories. How many Calories would you expect to be in 6 slices of the same pizza?

a)

30 calories

b)

900 calories

c)

1200 calories

d)

460 calories

71.

Every 30 seconds, you can text 35 words. How many words can you type in 5 mins?

a)

1200

b)

350

c)

1000

d)

1,800

72.

Which of the following table shows a direct proportion relationship?

a)
b)
c)
d)
73.

Which of the following graph shows a direct proportion relationship?

a)
b)
c)
d)
74.
Name the constant of proportionality.
a)
8
b)
16
c)
6
d)
3
75.
Is the given table a direct variation? If so, what is the constant?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
76.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
77.
Solve the proportion:
a)
c=4
b)
c=8
c)
c=14
d)
c=10
78.
Which equation matches the graph?
a)
y = 8x
b)
y = 1x
c)
y = 3x
d)
y = 16x
79.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x