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Worksheets

Thanksgiving Review

Total questions: 94

Worksheet time: 4hrs 47mins

Name
Class
Date
1.

Choose the number that is written in scientific notation.

a)

0.78 x 10-2

b)

7.8 x 103

c)

78.0 x 10-4

d)

780 x 105

2.

Which of these numbers is the smallest?

a)

3.5 x107

b)

3 x107

c)

5 x107

d)

5.5 x107

3.

To compare two numbers that are in scientific notation, first compare the ________ . If they are the same, then compare the ___________.

a)

decimals; exponents

b)

first number; next number

c)

exponents; decimals

4.

Which of these numbers is the greatest?

a)

9 x 109

b)

8.1 x108

c)

9.02 x109

d)

6.35 x107

5.

Place the following numbers in order from least to greatest:

7.8 x 106, 5.1 x 104, 1.25 x 105, 4.09 x 104

a)

4.09 x 104,

1.25 x 105,

5.1 x 104,

7.8 x 106

b)

4.09 x 104,

5.1 x 104,

1.25 x 105,

7.8 x 106,

c)

1.25 x 105,

4.09 x 104,

5.1 x 104,

7.8 x 106,

6.

The diameter of the planet Mercury is

4.87 x 103 km. The diameter of the planet Venus is 1.21x104 km. The diameter of the planet Mars is 1.28 x 103 km.

Which planet has the smallest diameter?

a)

Mercury

b)

Mars

c)

Venus

7.
Square roots are the opposite of ____________.
a)
Cube Roots
b)
Squaring
c)
Multiplication
d)
Absolute Value
8.

What is the area of a 3 cm square?

a)

6cm26cm^2

b)

9cm29cm^2

9.
A perfect square is a number whose square root is ___________.
a)
Even
b)
irrational
c)
Rational
d)
Odd
10.
An imperfect square is a number whose square root is ___________.
a)
Even
b)
irrational
c)
Rational
d)
Odd
11.
If I know the area of a square, how do I find the side length?
a)
I square the area.
b)
I divide the area by 2.
c)
I take the square root of the area.
d)
I divide the area by 4.
12.

List the first 15 perfect squares.


Place a comma and a space between each number. ( Example: 1, 2, 3, ...)

(a)  

13.

Identify the two square roots of 49. ( Please use ONLY numbers and symbols)

(a)  

14.

Each square root is between two consecutive integers. Name the integers and approximate the square root to the nearest hundredth. 

 17\sqrt{17}  

a)

Between 3 and 4          4.12

b)

Between 3 and 4         4

c)

Between 3 and 4         4.10

d)

Between 3 and 4         4.13

15.

Each square root is between two consecutive integers. Name the integers and approximate the square root to the nearest hundredth.  115\sqrt{115}  






  

a)

Between 9 and 10         10.73

b)

Between 10 and 11         10.70

c)

Between 9 and 10         10.72

d)

Between 10 and 11         10.72

16.
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
17.
Which is the least:  0.06 or 0.060
a)
0.06
b)
They are equal.
c)
0.060
d)
Depends on the time of day.
18.

Which number is fits between 1/4 and 1/3

a)

1/2

b)

2/3

c)

33%

d)

3/5

19.

Which number would go between 75% and .8

a)

3/4

b)

80%

c)

4/5

d)

78%

20.

2. Put in the symbol to make the statement true...
-17.5 _________   - 252\frac{25}{2}  

a)

 <<  

b)

 >>  

c)

 ==  

21.

Which of these values is the GREATEST?

a)

63/7

b)

8.99

c)

450%

d)

-22

22.

Three students were reading the same novel. Romaisa read 3/5 of the novel, Syed read 17/25 of the novel, and Felix read 0.63 of the novel. Who has read the most?

a)

Romaisa

b)

Syed

c)

Felix

23.

Which list of numbers is in order from least to greatest?

a)

A √23, 5, 6, 43%

b)

B 5, √23, 6, 43%

c)

C 43%, 5, √23, 6

d)

D 43%, √23, 5, 6

24.

Which of the following is in exponential form?

a)

5 x 5 x 5

b)

125

c)

53

25.

Which of the following is in expanded form?

a)

5 x 5 x 5

b)

125

c)

53

26.

Which of the following is in standard form?

a)

25

b)

52

c)

5 X 5

27.

 10210^2  Identify the base 

a)

10

b)

2

28.

 10210^2  Identify the exponent

a)

10

b)

2

29.

Write the equation using exponents

3 X 3 X 3

a)

31

b)

33

c)

32

30.

Write in standard form  232^3  

a)

6

b)

8

c)

222

31.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
32.
Simplify (24)(25)
a)
220
b)
49
c)
420
d)
29
33.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
34.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
35.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
36.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
37.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
38.
Simplify y0

a)
y
b)
0
c)
1
d)
1y
39.
Rewrite using a positive exponent.
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
40.

The graph shows the speed of Mr. Sam driving to work. Which section shows Mr. Sam stopped in traffic?

a)

a.

b)

b.

c)

g.

d)

d.

e)

f.

41.

The graph shows the speed of Mr. Sam driving to work. Which section shows Mr. Sam driving on the interstate?

a)

a. - his rate of change is the steepest

b)

b. - he's going the fastest here

c)

g. - steep rate of change and not for a long time

d)

d. - shortest amount of time

e)

f. - he's going fast here

42.

The graph shows Timmy's distance he is as he leaves school one afternoon. What happens in section C? Why is the distance from school decreasing?

a)

Timmy is walking back to school because he forgot his math book.

b)

Timmy is talking to a friend and not walking.

c)

Timmy is walking faster home.

d)

Timmy is dancing in the street.

43.

The graph shows Timmy's distance he is as he leaves school one afternoon. What happens in section B?

a)

Timmy is walking back to school because he forgot his math book.

b)

Timmy is talking to a friend and not walking.

c)

Timmy is walking faster home.

d)

Timmy is dancing in the street.

44.

The graph shows Timmy's distance he is as he leaves school one afternoon. What happens in section D?

a)

Timmy is walking back to school because he forgot his math book.

b)

Timmy is talking to a friend and not walking.

c)

Timmy is walking all the way home.

d)

Timmy is dancing in the street.

45.

Each section of the graph is for 5 minutes. Why does the graph not begin on the y-axis?

a)

Rose did not begin walking away from home and to the park right away.

b)

Rose walked really slowly at the beginning and didn't get very far.

c)

Rose ran at the beginning so fast, it was hard to see her distance from home.

d)

Rose went to a friends house before heading to the park.

46.

Michael owns his own window cleaning business. He is cleaning the windows of a three story building. The graph shows his height from the ground floor while washing windows. Choose the correct words to correctly describe each section of the graph.

Section A has a _____ slope and represents washing windows on the _____ floor.

a)

zero; first

b)

positive; second

c)

negative; third

d)

zero; second

e)

positive; third

47.

Michael owns his own window cleaning business. He is cleaning the windows of a three story building. The graph shows his height from the ground floor while washing windows. Choose the correct words to correctly describe each section of the graph.

Section B has a _____ slope and represents going to the _____ floor.

a)

zero; first

b)

positive; second

c)

negative; third

d)

zero; second

e)

positive; third

48.

Michael owns his own window cleaning business. He is cleaning the windows of a three story building. The graph shows his height from the ground floor while washing windows. Choose the correct words to correctly describe each section of the graph.

Section F has a _____ slope and represents going to the _____ floor.

a)

zero; first

b)

positive; third

c)

negative; first

d)

zero; second

e)

negative; third

49.

Choose the the graph that best depicts a man taking a ride on a ferris wheel.

a)

a

b)

b

c)

c

d)

d

50.

Choose the graph that best depicts a woman climbing a hill at a steady pace and then starts to run down one side.

a)

a

b)

b

c)

c

d)

d

51.
How long did it take this object to travel back to its reference/starting point?
a)
20 s
b)
30 s
c)
60 s
d)
100 s
52.
On a graph comparing speed over time, a section of line with a negative slope means
a)
that you are going downhill.
b)
that you are going uphill.
c)
that your speed is increasing.
d)
that your speed is decreasing.
53.
On a graph comparing distance over time, a section of line with a positive slope means
a)
the distance is decreasing.
b)
the distance is staying the same.
c)
the distance is increasing
d)
the distance varies.
54.

What does the b mean in y=mx+b?

a)

Slope

b)

Nothing

c)

x-intercept

d)

y-intercept

55.

What is the slope-intercept form of the equation of a line?

a)

y=yx+b

b)

y=mx+b

c)

x=yx+b

d)

x=xy+b

56.
How do you calculate slope using a graph?
a)
rise over run
b)
run over rise
c)
look at the y intercept
d)
look at the x intercept
57.

What does "m" stand for in the slope formula?

a)

y axis

b)

slope

c)

y coordinate

d)

x coordinate

58.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
59.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
60.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
61.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
62.
Find the slope of the line that passes through: 
(2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
63.

What is the slope represented in the table?

a)

slope: 12\frac{1}{2}

b)

slope: 22

c)

slope: 12-\frac{1}{2}

d)

slope: 2-2

64.

What is the Slope represented in this table?

a)

slope: 14-\frac{1}{4}

b)

slope: 4-4

c)

slope: 14\frac{1}{4}

d)

slope: 44

65.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

66.

What is the y-intercept of the line with the equation:

y = 2x + 4y\ =\ -2x\ +\ 4 y = -2x + 4 

a)

2-2  -2

b)

22  2

c)

44  4

d)

4-4  -4

67.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

68.
Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0
a)
y=-3
b)
y=3x
c)
y=-3x
d)
x=-3
69.

Graph the line with the equation
y = 23x + 4y\ =\ -\frac{2}{3}x\ +\ 4  

a)
b)
c)
d)
70.

Graph the line with the equation
y = 13x  4y\ =\ -\frac{1}{3}x\ -\ 4  

a)
b)
c)
d)
71.
What would be the best first step to solving the equation?
-3=x+5
a)
add 3 to both sides
b)
subtract 5 from both sides
c)
add 5 to both sides
d)
subtract -5 from both sides
72.
What would be the best first step to solving the equation?
-18=m+12
a)
add 18 to both sides
b)
subtract 18 from both sides
c)
add 12 to both sides
d)
subtract 12 from both sides
73.

Which of the following are basic rules used for solving algebraic equations?

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the opposite operation

74.

Solve for z in the following equation:

z - 33 = 147

a)

z= 114

b)

z = 177

c)

z = 180

d)

No Solution

75.

Solve for x in the following equation:
 x4\frac{x}{-4}  = 9

a)

13

b)

36

c)

-36

d)

 49\frac{-4}{9}  

76.
y/3=12
a)
36
b)
-36
c)
4
d)
-4
77.
4 + k/2 = -3
a)
14
b)
-14
c)
4
d)
-2
78.

What is the first step to solve this equation:

-11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

79.

Solve the equation for m.

 15=4m+5-15=-4m+5  

a)

4

b)

7

c)

5

d)

2.5

80.
3y+4y+6=20
a)
y=2
b)
y=-2
c)
y=4
d)
y=3
81.
Solve: 5x - 14 = 8x + 4
a)
6
b)
-6
c)
-18/13
d)
10/3
82.

 96=6(k+8)96=6\left(k+8\right)  

a)

 1212  

b)

 88  

c)

 4-4  

d)

 99  

83.

 97=3(6n5)897=-3\left(6n-5\right)-8  

a)

 10-10  

b)

 1616  

c)

 5-5  

d)

 2-2  

84.
Solve for x:
4 - 2(x - 3) = 24
a)
- 7
b)
7
c)
14
d)
- 14
85.

 7x3=7x+57x-3=7x+5  

a)

No Solution

b)

Infinite Solutions

c)

 x=2x=2  

d)

 x=8x=8  

86.

 5(2+x)=45+5x5\left(2+x\right)=45+5x  

a)

No Solution

b)

Infinite Solutions

c)

 x=35x=35  

d)

 x=55x=55  

87.

 7x3=3+7x7x-3=-3+7x  

a)

No Solution

b)

Infinite Solutions

c)

 x=0x=0  

d)

 x=6x=6  

88.

 2(5x2)=4+10x2\left(5x-2\right)=-4+10x  

a)

No Solution

b)

Infinite Solutions

c)

 x=8x=-8  

d)

 x=12x=12  

89.

 2(x+11)=18-2\left(x+11\right)=-18  

a)

 x=2x=-2  

b)

 x=2x=2  

c)

No Solution

d)

Infinite Solutions

90.

 36=4(20+x)36=4\left(20+x\right)  

a)

 x=11x=-11  

b)

 x=12x=12  

c)

No Solution

d)

Infinite Solutions

91.

 24+20x=24+8x-24+20x=24+8x  

a)

 x=4x=4  

b)

 x=2x=-2  

c)

No Solution

d)

Infinite Solutions

92.
2x + 3(5x - 7) = 47
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
93.
Solve the equation:
20.)  5 = 4 - x
a)
x= 1
b)
x = -1
c)
x = 2
d)
x = -24.5
94.
2x - 3 + 4x = 27
a)
x= 12
b)
x = 4
c)
x = 5
d)
x = 15