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Unit 1 Review

Unit 1 Review

Assessment

Presentation

Mathematics

8th Grade

Medium

Created by

Jasmine Gray

Used 4+ times

FREE Resource

18 Slides • 39 Questions

1

Unit 1 Review

by Jasmine Gray

2

Perfect Squares and Cubes​

EE2: I can solve equations using square/cube roots ​

3

​Perfect Squares/Cubes

​What do we think about when we see a problem involving a square root?

​- we think " what number times itself gives me the number in question"

​What do we think about when we see a problem involving a cube root?

​- we think " what number times itself 3 times gives me the number in question

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4

​Things to Remember

​Cubed roots have 1 answer only

​Square roots have 2 answers

5

6

Fill in the Blanks

Type answer...

7

Fill in the Blanks

Type answer...

8

Multiple Choice

16=?\sqrt{16}=?  

1

8

2

2

3

4

4

32

9

Multiple Choice

144\sqrt{-144}  

1

12

2

-12

3

72

4

none of the above (imaginary number)

10

Multiple Choice

383_{\sqrt{8}}    (cube root of 8) 

1

2

2

±2\pm2  

3

-2

4

None of the above 

11

Multiple Choice

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

1

9

2

-9

3

40.5

4

-40.5

12

Multiple Choice

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

1

4

2

8

3

16

4

32

13

Exponent Rules​

EE1: I can evaluate expressions using all exponent rules ​

14

​Exponent Rules

​This section of the test covers all exponent rules. Please ignore the fractional exponent (we did not cover that). Remember that these rules are something that needs to be put in long term memory

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16

Multiple Choice

x5x^{-5}  =

1

1x5\frac{1}{x^{-5}}  

2

1x5\frac{1}{x^5}  

3

x51\frac{x^5}{1}  

4

x51\frac{x^{-5}}{1}  

17

Multiple Choice

3650=365^0=  

1

0

2

1

3

365

4

1365\frac{1}{365}  

18

Multiple Choice

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

1

Add

2

Subtract

3

Multiply

4

Divide

19

Multiple Choice

x3x4 =x^3\cdot x^4\ =  

1

x12 x^{12\ }  

2

x1x^{-1}  

3

x7x^7  

4

x34x^{34}  

20

Multiple Choice

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

1

Add

2

Subract

3

Multiply

4

Divide

21

Multiple Choice

x9x4\frac{x^9}{x^4}  =

1

x13x^{13}  

2

x36x^{36}  

3

x5x^5  

4

x5x^{-5}  

22

Multiple Choice

x17x8\frac{x^{17}}{x^8}  

1

x9x^9  

2

x25x^{25}  

3

x9x^{-9}  

4

x25x^{-25}  

23

Multiple Choice

a5b10a3b6=\frac{a^5b^{10}}{a^3b^6}=  

1

a8b16a^8b^{16}  

2

a2b4a^2b^4  

3

a15b60a^{15}b^{60}  

4

a2b16a^2b^{16}  

24

Multiple Choice

(x5)4\left(x^5\right)^4  

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

1

add

2

subtract

3

multiply

4

divide

25

Multiple Choice

(x7)2\left(x^7\right)^2  =

1

x14x^{14}  

2

x9x^9  

3

x5x^5  

4

2x72x^7  

26

Multiple Choice

(a3b5)7\left(a^3b^5\right)^7  =

1

a3b35a^3b^{35}  

2

a10b12a^{10}b^{12}  

3

a8b8a^8b^8  

4

a21b35a^{21}b^{35}  

27

Multiple Select

Select ALL that are correct.

Simplify the following: (2x4y3)1\left(2x^4y^{-3}\right)^{-1}  

1

21x4y32^{-1}x^{-4}y^3  

2

2x4y3-\frac{2}{x^4y^3}  

3

12x4y3\frac{1}{2x^4y^3}  

4

y32x4\frac{y^3}{2x^4}  

28

Scientific Notation and Comparing​

EE3: I can write numbers in scientific notation

I can compare numbers in scientific notation​

29

​Writing Numbers in Scientific Notation

​A number in scientific notation is made up of 2 factors and a multiplication sign. The first factor (also called the coefficient) is a number between 1 and 10 (can not be less than 1 or greater than 10) and the second factor is a power of 10. To find power of 10 count how many jumps to make coefficient between 1 and 10

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31

32

​Ordering Numbers in Scientific Notation

​First look at the exponents, greater exponents are greater.

​If exponents are the same then look at the coefficient

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33

Multiple Choice

How would you write 564,000,000 in scientific notation?

1

5.64 x 10-7

2

5.64 x 106

3

5.64 x 108

4

56.4 x 107

34

Multiple Choice

Express the following in scientific notation: .000457

1

457 x 106

2

457 x 10-6

3

4.57 x104

4

4.57 x 10-4

35

Multiple Choice

When your exponent is negative, you move your decimal....

1

to the right

2

to the left

3

to both sides

4

nowhere.... the decimal goes nowhere

36

Multiple Choice

Which of the following is correct scientific notation?

1

20.35 x 104

2

.2035 x 104

3

2035 4

4

2.035 x104

37

Multiple Choice

How would you write 5.6 x 10-3 in standard form?

1

56,000

2

5,600

3

0.00056

4

0.0056

38

Multiple Choice

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
1
4.09 x 104,   
1.25 x 105,    
5.1 x 104,   
7.8 x 106,
2
4.09 x 104,    
5.1 x 104,    
1.25 x 105,  
7.8 x 106
3
1.25 x 105,  
4.09 x 104,    
5.1 x 104,     
7.8 x 106,  

39

Multiple Choice

The diameter of the planet Mercury is 4.87 x 103 km.  The diameter of the planet Venus is 1.21 x 104 km. The diameter of the planet Mars is  1.28 x 103 km.    Which planet has the smallest diameter?

1

Mercury

2

Mars

3

Venus

40

Multiple Choice

Order the following from greatest to least:  5 x 103   3.2 x 108  1.2 x 108  7 x 105 

1

 7 x 105 ,  5 x 103 ,  3.2 x 108,  1.2 x 108

2

 3.2 x 108, 1.2 x 108,  7 x 105, 5 x 103 

3

 1.2 x 108, 3.2 x 108,  5 x 103 , 7 x 105 

41

Operations in Scientific Notation​

EE4: I can perform all operations with scientific notation​

42

​Multiplying/Dividing

​The greatest thing to remember is that you don't need the same exponent to multiply and divide in scientific notation.

​** Remember after you perform the operation if the number is not in scientific notation then you need to put in it scientific notation**

​Remember LARS "left, add, right, subtract"

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44

Multiple Choice

Question image

What is the simplified version of

1

3.9 x 106

2

4 x 1020

3

4 x 106

4

3.9 x 1020

45

Multiple Choice

Multiply: (9.4 x 106)(3.2 x 105)

1

30.08 x 1011

2

3.8 x 101

3

3.008 x 1012

4

2.9375 x 101

46

Multiple Choice

(2 x 109)(4 x 10-4)

1

8 x 1013

2

8 x 1036

3

8 x 105

4

8 x 10-36

47

Multiple Choice

If you subtract from your exponent of 10, you move your decimal to the ....

1

Right

2

Left

3

North

4

South

48

Multiple Choice

If you add to your exponent of 10, you move your decimal...

1

Left

2

Right

3

Up

4

Down

49

Multiple Choice

Solve: (6 x 106) / (2 x 103)

1

12 x 103

2

3 x 109

3

1.2 x 104

4

3 x 103

50

​Adding/Subtracting

​#1 rule when adding and subtracting is to remember that the exponents must be the same to perform this operation. if you struggle with moving the decimal you can write the numbers in standard form and then perform the operation and convert back to scientific notation.

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52

Multiple Choice

Give the sum of (2.6 x 106) + (4.2 x 106)

1

6.8 x 106

2

6.8 x 1012

3

8.4 x 106

4

3.2 x 1012

53

Multiple Choice

Give the sum of (4.8 x 108) + (5.4 x 108) in scientific notation

1

1.02 x 108

2

1.02 x 109

3

9.2 x 108

4

2.1 x 109

54

Multiple Choice

Give the difference of (9.87 x 107) - (7.42 x 107) in scientific notation

1

2.45 x 100

2

3.5 x 107

3

2.45 x 107

4

17.29 x 107

55

Multiple Choice

Give the difference of (7.2 x 107) - (4.5 x 107)

1

2.7 x 107

2

2.7 x 100

3

1.17 x 107

4

3.3 x 107

56

Multiple Choice

Give the difference of (8.7 x 109) - (2.5 x 107)

1

6.2 x 102

2

6.2 x 109

3

7.23 x 107

4

8.675 x 109

57

Multiple Choice

Give the sum of (8.7 x 105) + (7.32 x 107) in scientific notation

1

16.02 x 107

2

7.407 x 105

3

7.407 x 107

4

1.602 x 107

Unit 1 Review

by Jasmine Gray

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