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8th Grade Year Review 1

Total questions: 50

Worksheet time: 26mins

Name
Class
Date
1.

Select all that apply:

A rational number is one that.....

a)

terminates when written as a decimal

b)

repeats the same value

c)

can be written as a fraction

2.

Before we can add or subtract fractions we must?

a)

Find the common denominator

b)

just add/subtract

c)

umm, idk

d)

convert them to decimal

3.

Once we find a common denominator we need to.....

a)

multiply the bottoms by the necessary values

b)

multiply both values (top & bottom) of each side by the necessary values

c)

Multiply the tops by the necessary values

d)

skip it and convert to decimal.

4.

When multiplying fractions we.....

a)

find a common denominator

b)

keep change flip

c)

Multiply straight across top and bottom

d)

change to decimal

5.

Select all that apply:

When dividing fractions we......

a)

multiply by the reciprocal

b)

keep change flip

c)

convert to decimal

d)

multiply straight across

6.

To add/sub decimals we need to .....

a)

keep change flip

b)

convert to fractions

c)

line up the decimals

d)

move the decimals to make them whole numbers.

7.

To multiply decimals we........

a)

ignore the decimals and line them up as normal, then multiply

b)

line up the decimals

c)

make them whole numbers then multiply

d)

multiply the numbers behind the decimal, then the ones in front of the decimal.

8.

To divide decimals we.......

a)

change the divisor to be a whole number then move the decimal for the dividend the same number of spaces

b)

change the dividend to be a whole number then move the decimal for the divisor the same number of spaces

c)

change the divisor to be a whole number then move the decimal for the quotient the same number of spaces

d)

change the dividend to be a whole number then move the decimal for the quotient the same number of spaces

9.

The additive inverse property says

a)

Any number added to it's opposite will result in zero

b)

any number added to another can result in zero

c)

any number multiplied by its opposite will result in zero

d)

any number divided by it's opposite will result in zero.

10.

When adding a positive and a negative number you need to....

a)

actually subtract and use the sign of the bigger number

b)

add and use the sign of the bigger number

c)

actually subtract and use the sign of the smaller number

d)

add and use the sign of the smaller number

11.

Anytime you are adding with the same sign.....

a)

add like normal and keep the sign

b)

subtract the values

c)

add like normal and change the signs

d)

subtract the values

12.

anytime you are subtracting with negatives you could/should.......

a)

Keep change change then reassess

b)

keep change flip

c)

subtract like normal and keep the sign from the bigger number

d)

subtract like normal.

13.

adding/subtracting/multiplying/dividing fractions and decimals with negatives......

a)

changes the way we operate

b)

works the exact same way

c)

idk I'm lost

14.

The proportional relationship is the rate of change/slope

a)

True

b)

False

c)

Ummm What?

15.

In an equation, ex. y = 5x, the _____________ is the rate of change/slope/unit rate

a)

coefficient (number in front of the variable)

b)

the variable x

c)

the variable y

d)

um what?

16.

The Multiplicative Inverse property says

a)

the product of the inverse (4 = 1/4) of a number, and a number equals 1.

b)

the quotient of the inverse (4 = 1/4) of a number, and a number equals 1.

c)

The addition of the inverse (4 = 1/4) of a number, and a number equals 1.

d)

The subtraction of the inverse (4 = 1/4) of a number, and a number equals 1

17.

To convert a fraction to a decimal we ......

a)

simply put the numerator next to the denominator behind a decimal.

b)

divide the numerator by the denominator

c)

divide the denominator by the numerator

d)

put the denominator then the numerator behind a decimal

18.

Select all that apply:

To convert a decimal to a fraction we......

a)

Place the value over a 10, 100, 1000 as decided by the number of values behind the decimal

b)

take the first value and place it over the second value

c)

Convert it to a percentage and then place it over 100

19.

To convert a decimal to a percentage we

a)

move the decimal two places to the left

b)

move the decimal two places to the right

c)

convert to a fraction then convert to a percentage

20.

To convert a percentage to a decimal we

a)

move the decimal two places to the left

b)

move the decimal two places to the right

c)

convert to a fraction then convert to a percentage

21.

Select all that apply:

To convert a fraction to percentage we..

a)

convert to a decimal and then to a percentage

b)

modify the numerator and denominator to make the denominator 100 then the numerator is percentage

c)

make an educated guess

d)

All of the above.

22.

Select all that apply:

To convert a percentage to a fraction we...

a)

place it over 100

b)

convert to a decimal and then to a fraction

c)

Divide by 2

d)

All of the above

23.

A rational number is.....

a)

any number that as a decimal stops

b)

any number that as a decimal repeats

c)

any number that as a decimal stops or repeats

d)

any number that doesn't stop or repeat

24.

a subtraction and negative are synonymous (the same) and interchangeable (they can be switched)

a)

True

b)

False

c)

I think so?.....

25.

Select all that apply:

to show a repeating decimal you can

a)

stop the number and have a line above it

b)

stop the number and raise it by one value

c)

just cut off the repeating numbers

d)

if it repeats, we just let it repeat

26.

When rounding an answer you should round to the .....

a)

tenths (first digit past decimal)

b)

hundredths (second digit past decimal)

c)

thousandths(third digit past decimal)

d)

decimal points

27.

To convert a repeating decimal to a fraction we must....

a)

put the amount of repeating digits over the same amount of 9's

b)

put the amount of repeating digits over 10,100, 1000 depending on amount of repeating digits

c)

turn it into a percentage and then convert to fraction form

d)

Subtract the repeating portion from the repeating decimal while subtracting 1 from 100, which gives us just our repeated part over 9,99,999. Then simplify.

28.

When dealing with a radical ( \sqrt{x}  ) how do we know if it is rational or irrational?

a)

It's root is a prime number

b)

it's root is a multiple of 2

c)

it's root is a multiple of 3

d)

It's root is a perfect square

29.

When dealing with a radical ( x∛x  ) how do we know if it is rational or irrational?

a)

It's root is a prime number

b)

it's root is a multiple of 2

c)

it's root is a multiple of 3

d)

It's root is a perfect cube

30.

Select all the irrational numbers

a)

 π\pi  

b)

3\sqrt{3}

c)

4\sqrt{4}

d)

5\sqrt{5}

e)

 121\sqrt{121}  

31.

Select all the rational numbers

a)

16\sqrt{16}

b)

8\sqrt{8}

c)

9\sqrt{9}

d)

10\sqrt{10}

e)

12\sqrt{12}

32.

what is 132

a)

144

b)

169

c)

121

d)

212

33.

What is 192

a)

361

b)

324

c)

400

d)

289

34.

What is 242

a)

529

b)

576

c)

625

d)

484

35.

What is 83

a)

512

b)

343

c)

729

d)

216

36.

Select all that apply:

What is the trick for knowing all the perfect squares?

a)

Every other number combination is a perfect square

b)

each number multiplied by itself is perfect square

c)

There is only one perfect square per multiplication set (Ex. 1's, 2's, 4's, 6's)

d)

There are no perfect squares

37.

Put the following in order from smallest to largest: 3.5, √6, 3 1/3, √9

a)

3.5, √6, 3 1/3, √9

b)

3.5, √6, √9, 3 1/3

c)

3 1/3, 3.5, √6, √9

d)

√6,√9, 3 1/3, 3.5

38.

The base rule for simplifying exponent expressions is

a)

The exponents can only be added or subtracted if the bases are the same

b)

if the base is the same add the exponents

c)

if the base is the same, subtract the exponents

d)

when the base is being raised to a power, multiply the exponents

e)

When a base has a power of 0, the base and exponent = 1

39.

The adding rule for simplifying exponent expressions is

a)

When you have a negative exponent, flip the base and the exponent and take away the negative

b)

if the base is the same while multiplying add the exponents

c)

if the base is the same while dividing, subtract the exponents

d)

when the base is being raised to a power, multiply the exponents

e)

When a base has a power of 0, the base and exponent = 1

40.

The negative rule for simplifying exponent expressions is

a)

When you have a negative exponent, flip the base and the exponent and take away the negative

b)

if the base is the same while multiplying add the exponents

c)

if the base is the same while dividing, subtract the exponents

d)

when the base is being raised to a power, multiply the exponents

e)

When a base has a power of 0, the base and exponent = 1

41.

The power rule for simplifying exponent expressions is

a)

When you have a negative exponent, flip the base and the exponent and take away the negative

b)

if the base is the same while multiplying add the exponents

c)

if the base is the same while dividing, subtract the exponents

d)

when the base is being raised to a power, multiply the exponents

e)

When a base has a power of 0, the base and exponent = 1

42.

The subtraction rule for simplifying exponent expressions is

a)

When you have a negative exponent, flip the base and the exponent and take away the negative

b)

if the base is the same while multiplying add the exponents

c)

if the base is the same while dividing, subtract the exponents

d)

when the base is being raised to a power, multiply the exponents

e)

When a base has a power of 0, the base and exponent = 1

43.

The zero rule for simplifying exponent expressions is

a)

When you have a negative exponent, flip the base and the exponent and take away the negative

b)

if the base is the same while multiplying add the exponents

c)

if the base is the same while dividing, subtract the exponents

d)

when the base is being raised to a power, multiply the exponents

e)

When a base has a power of 0, the base and exponent = 1

44.

What is scientific notation?

a)

a way to express very large or very small quantities to make them easier to work with

b)

Um, something only scientists use.

c)

a way to take notes in science class

d)

I can't remember

45.

To write a number in scientific notation we .....

a)

see how many times we need to move the decimal point to make a value between 1 and 10, then set our new value x 10 with an exponent to the power = to how many times we moved the decimal point.

b)

see how many times we need to move the decimal point to make a value greater than 1 , then set our new value x 10 with an exponent to the power = to how many times we moved the decimal point.

c)

see how many times we need to move the decimal point to make a value smaller than 10, then set our new value - 10 with an exponent to the power = to how many times we moved the decimal point.

d)

see how many times we need to move the decimal point to make a value greater than 1 , then set our new value + 10 with an exponent to the power = to how many times we moved the decimal point.

46.

write 0.0000000000667 in scientific notation

a)

6.67 x 1011

b)

6.67 x 10-11

c)

66.7 x 1012

d)

0.667 x 10-10

47.

expand 4.8 x 105

a)

480000

b)

0.0000048

c)

48

d)

4800

48.

The exponent rules are used with/work with simplifying scientific notation

a)

True

b)

False

c)

Sometimes

d)

Sure, why not

49.

 a2b3 (c2)3a5b3a^2b^3\ \frac{\left(c^2\right)^3}{a^5b^{-3}}  

Simplify

a)

 a3c6a^{-3}c^6  

b)

 a7b6c6\frac{a^7b^6}{c^6}  

c)

 b6c6a3b^6\frac{c^6}{a^3}  

d)

 c6a3\frac{c^6}{a^3}  

50.

Simplify: 3.24 x 103 x 2 x 10-1

a)

6.48 x 104

b)

16.48 x 104\frac{1}{6.48\ x\ 10^4}

c)

6.48 x 102

d)

6.48 x 10-3