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Worksheets8th Grade Year Review 1
Total questions: 50
Worksheet time: 26mins
Select all that apply:
A rational number is one that.....
terminates when written as a decimal
repeats the same value
can be written as a fraction
Before we can add or subtract fractions we must?
Find the common denominator
just add/subtract
umm, idk
convert them to decimal
Once we find a common denominator we need to.....
multiply the bottoms by the necessary values
multiply both values (top & bottom) of each side by the necessary values
Multiply the tops by the necessary values
skip it and convert to decimal.
When multiplying fractions we.....
find a common denominator
keep change flip
Multiply straight across top and bottom
change to decimal
Select all that apply:
When dividing fractions we......
multiply by the reciprocal
keep change flip
convert to decimal
multiply straight across
To add/sub decimals we need to .....
keep change flip
convert to fractions
line up the decimals
move the decimals to make them whole numbers.
To multiply decimals we........
ignore the decimals and line them up as normal, then multiply
line up the decimals
make them whole numbers then multiply
multiply the numbers behind the decimal, then the ones in front of the decimal.
To divide decimals we.......
change the divisor to be a whole number then move the decimal for the dividend the same number of spaces
change the dividend to be a whole number then move the decimal for the divisor the same number of spaces
change the divisor to be a whole number then move the decimal for the quotient the same number of spaces
change the dividend to be a whole number then move the decimal for the quotient the same number of spaces
The additive inverse property says
Any number added to it's opposite will result in zero
any number added to another can result in zero
any number multiplied by its opposite will result in zero
any number divided by it's opposite will result in zero.
When adding a positive and a negative number you need to....
actually subtract and use the sign of the bigger number
add and use the sign of the bigger number
actually subtract and use the sign of the smaller number
add and use the sign of the smaller number
Anytime you are adding with the same sign.....
add like normal and keep the sign
subtract the values
add like normal and change the signs
subtract the values
anytime you are subtracting with negatives you could/should.......
Keep change change then reassess
keep change flip
subtract like normal and keep the sign from the bigger number
subtract like normal.
adding/subtracting/multiplying/dividing fractions and decimals with negatives......
changes the way we operate
works the exact same way
idk I'm lost
The proportional relationship is the rate of change/slope
True
False
Ummm What?
In an equation, ex. y = 5x, the _____________ is the rate of change/slope/unit rate
coefficient (number in front of the variable)
the variable x
the variable y
um what?
The Multiplicative Inverse property says
the product of the inverse (4 = 1/4) of a number, and a number equals 1.
the quotient of the inverse (4 = 1/4) of a number, and a number equals 1.
The addition of the inverse (4 = 1/4) of a number, and a number equals 1.
The subtraction of the inverse (4 = 1/4) of a number, and a number equals 1
To convert a fraction to a decimal we ......
simply put the numerator next to the denominator behind a decimal.
divide the numerator by the denominator
divide the denominator by the numerator
put the denominator then the numerator behind a decimal
Select all that apply:
To convert a decimal to a fraction we......
Place the value over a 10, 100, 1000 as decided by the number of values behind the decimal
take the first value and place it over the second value
Convert it to a percentage and then place it over 100
To convert a decimal to a percentage we
move the decimal two places to the left
move the decimal two places to the right
convert to a fraction then convert to a percentage
To convert a percentage to a decimal we
move the decimal two places to the left
move the decimal two places to the right
convert to a fraction then convert to a percentage
Select all that apply:
To convert a fraction to percentage we..
convert to a decimal and then to a percentage
modify the numerator and denominator to make the denominator 100 then the numerator is percentage
make an educated guess
All of the above.
Select all that apply:
To convert a percentage to a fraction we...
place it over 100
convert to a decimal and then to a fraction
Divide by 2
All of the above
A rational number is.....
any number that as a decimal stops
any number that as a decimal repeats
any number that as a decimal stops or repeats
any number that doesn't stop or repeat
a subtraction and negative are synonymous (the same) and interchangeable (they can be switched)
True
False
I think so?.....
Select all that apply:
to show a repeating decimal you can
stop the number and have a line above it
stop the number and raise it by one value
just cut off the repeating numbers
if it repeats, we just let it repeat
When rounding an answer you should round to the .....
tenths (first digit past decimal)
hundredths (second digit past decimal)
thousandths(third digit past decimal)
decimal points
To convert a repeating decimal to a fraction we must....
put the amount of repeating digits over the same amount of 9's
put the amount of repeating digits over 10,100, 1000 depending on amount of repeating digits
turn it into a percentage and then convert to fraction form
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.
When dealing with a radical ( x ) how do we know if it is rational or irrational?
It's root is a prime number
it's root is a multiple of 2
it's root is a multiple of 3
It's root is a perfect square
When dealing with a radical ( ∛x ) how do we know if it is rational or irrational?
It's root is a prime number
it's root is a multiple of 2
it's root is a multiple of 3
It's root is a perfect cube
Select all the irrational numbers
π
3
4
5
121
Select all the rational numbers
16
8
9
10
12
what is 132
144
169
121
212
What is 192
361
324
400
289
What is 242
529
576
625
484
What is 83
512
343
729
216
Select all that apply:
What is the trick for knowing all the perfect squares?
Every other number combination is a perfect square
each number multiplied by itself is perfect square
There is only one perfect square per multiplication set (Ex. 1's, 2's, 4's, 6's)
There are no perfect squares
Put the following in order from smallest to largest: 3.5, √6, 3 1/3, √9
3.5, √6, 3 1/3, √9
3.5, √6, √9, 3 1/3
3 1/3, 3.5, √6, √9
√6,√9, 3 1/3, 3.5
The base rule for simplifying exponent expressions is
The exponents can only be added or subtracted if the bases are the same
if the base is the same add the exponents
if the base is the same, subtract the exponents
when the base is being raised to a power, multiply the exponents
When a base has a power of 0, the base and exponent = 1
The adding rule for simplifying exponent expressions is
When you have a negative exponent, flip the base and the exponent and take away the negative
if the base is the same while multiplying add the exponents
if the base is the same while dividing, subtract the exponents
when the base is being raised to a power, multiply the exponents
When a base has a power of 0, the base and exponent = 1
The negative rule for simplifying exponent expressions is
When you have a negative exponent, flip the base and the exponent and take away the negative
if the base is the same while multiplying add the exponents
if the base is the same while dividing, subtract the exponents
when the base is being raised to a power, multiply the exponents
When a base has a power of 0, the base and exponent = 1
The power rule for simplifying exponent expressions is
When you have a negative exponent, flip the base and the exponent and take away the negative
if the base is the same while multiplying add the exponents
if the base is the same while dividing, subtract the exponents
when the base is being raised to a power, multiply the exponents
When a base has a power of 0, the base and exponent = 1
The subtraction rule for simplifying exponent expressions is
When you have a negative exponent, flip the base and the exponent and take away the negative
if the base is the same while multiplying add the exponents
if the base is the same while dividing, subtract the exponents
when the base is being raised to a power, multiply the exponents
When a base has a power of 0, the base and exponent = 1
The zero rule for simplifying exponent expressions is
When you have a negative exponent, flip the base and the exponent and take away the negative
if the base is the same while multiplying add the exponents
if the base is the same while dividing, subtract the exponents
when the base is being raised to a power, multiply the exponents
When a base has a power of 0, the base and exponent = 1
What is scientific notation?
a way to express very large or very small quantities to make them easier to work with
Um, something only scientists use.
a way to take notes in science class
I can't remember
To write a number in scientific notation we .....
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.
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.
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.
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.
write 0.0000000000667 in scientific notation
6.67 x 1011
6.67 x 10-11
66.7 x 1012
0.667 x 10-10
expand 4.8 x 105
480000
0.0000048
48
4800
The exponent rules are used with/work with simplifying scientific notation
True
False
Sometimes
Sure, why not
a2b3 a5b−3(c2)3
Simplify
a−3c6
c6a7b6
b6a3c6
a3c6
Simplify: 3.24 x 103 x 2 x 10-1
6.48 x 104
6.48 x 1041
6.48 x 102
6.48 x 10-3
