Incoming 7th Grade Summer Packet Worksheet

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th
Incoming 7
Grade Summer Packet
Objective: Write an algebraic expression to represent unknown quantities.
• A variable is a symbol, usually a letter, used to represent a number.
• Algebraic expressions are combinations of variables, numbers, and at least one operation.
Examples:
The sum of 5 and some number is written as:
5 + n
because the operation that is associated with the word sum is
addition.
The difference of a number and three tenths is written as:
n - .3
because the operation that is associated with the
word difference is subtraction.
2.)
a number minus .7
1
1.)
a number plus
2
3.) the difference of twenty-one hundredths and a number
4.) the sum of a number and forty-six
Objective: Evaluate an algebraic expression.
• A variable is a symbol, usually a letter, used to represent a number.
• Algebraic expressions are combinations of variables, numbers, and at least one operation.
• Multiplication in algebra can be shown as 4n or 4 x n
• The variables in an algebraic expression can be replaced with any number.
• Once the variables have been replaced, you can evaluate, or find the value of, the algebraic expression.
Examples:
Evaluate 44 + n
if n= 9
44 + n
original expression
44 + 9
replace the variable with it’s value
53
solution
1.)
Evaluate 150 + n
if n = 15
2.) Evaluate 12n
if n = 9
4.) Evaluate 30n
if n = 2.5
1
3.)
Evaluate 15n + 19
if n =
3
1

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