Variables and Expressions Handout

Name: _________________
Variables and Expressions
Standard: ______________
There are _____ types of expressions.
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
Evaluate each expression
1. x + 12
for x = 8
___________ = ________
2. 80 ÷ c for c = 10
3. 7 m for m = 5
___________ = ________
___________ = ________
4. 10 + 2p for p = 3
___________ = ________
5. k ÷ 2
___________ = ________
for k = 22
6. 2 ( y – 3 ) for y = 12
___________ = ________
Writing Variable Expressions:
Make a list of ALL the words or phrases you can think of that describes each operation:
ADDITION:
SUBTRACTION:
5+8
10 - 4
MULTIPLICATON
DIVISION:
10 × 3
18 ÷ 6
Can those same words be used to describe variable expressions?
Word Phrase
22 is more than a number
w less than 55
The product of k and 10
The quotient of r and s
Variable Expression
Write two word phrases for EACH variable expression.
1. b + 15 ___________________________________________________________
2. m – n___________________________________________________________
3. 6x ___________________________________________________________
4. 18 ÷ p ___________________________________________________________
How can we write a variable expression for each word phrase?
Five plus y ________________
6 times q
________________
2 less than x _______________
HOMEWORK:
Evaluate each Expression:
1) 24
d for d = 3 _______________
2) p + 8 for p = 6
________________
3) 3r – 2 for r = 5 ________________
4) 6a + 8 for a = 7 ________________
5) 5x – y for x = 12 and y = 14 ________________
6) Use the expression 9x – 4. Which value of x gives you a result of 50?
A: 10
B: 45
C: 5
D: 6
E: 7
Write two word phrases for each variable expression.
7) z + 24 ____________________________________________________
8) 21 ÷ m ___________________________________________________
9) 4n ______________________________________________________
Write a Variable expression for each word phrase.
10) 34 less than k ____________________________________________
11) d more than 50 ____________________________________________
12) The product of 3 and m ______________________________________
Name: _________________
Variables and Expressions
Standard: EE2 a,b,c
There are 2 types of expressions.
Evaluate each expression
7. x + 12
for x = 8
8 + 12 = 20
8. 80 ÷ c for c = 10
80
10 = 8
9. 7m for m = 5
7 x 5 = 35
10.
10 + 2p for p = 3
10 + 2(3) = 10 + 6 = 16
11.
k ÷2
22
12.
2 ( y – 3 ) for y = 12
for k = 22
2 = 11
2 ( 12 – 3) = 2(9) = 18
Problems 4 and 6:
BE SURE TO USE
THE ORDER OF OPERATIONS
Writing Variable Expressions:
Make a list of ALL the words or phrases you can think of that describes each operation:
ADDITION:
Altogether
Increase
Combine
In all
Above
Add
Sum
More Than
SUBTRACTION:
Minus
Shorter
Longer
Lose
Reduce
Take Away
Fewer
Decrease
Less Than
Subtract
Difference
5 + 8 Several possible answers
8 added to 5
5 increased by 8
5 and 8 in all
10 – 4 Several possible answers
10 minus 4
The difference between 10 and 4
10 decreased by 4
MULTIPLICATON
Multiply
Times
Twice
Triple
Quadruple
Of
Product
By
Half (Multiply by ½)
DIVISION:
Quotient
Reduce
Divide
Out Of
Divided By
Share
Goes Into
Cut Into
Half (Divide by 2)
10 × 3 Several possible answers
10 multiplied by 3
The product of 10 and 3
10 by 3
18 ÷ 6 Several possible answers
The quotient of 18 and 6
18 divided by 6
Share 18 by 6
Can those same words be used to describe variable expressions?
Word Phrase
22 is more than a number
w less than 55
The product of k and 10
The quotient of r and s
Variable Expression
x + 22
55 - w
10k
r s
Write two word phrases for EACH variable expression.
1. b + 15 15 more than b
b increased by 15
2. m – n
n less than m
m decreased by n
3. 6x
6 multiplied by x
the product of 6 and x
4. 18 ÷ p
the quotient of 18 and p
Several possible answers
18 divided by p
How can we write a variable expression for each word phrase?
Five plus y
5+y
6 times q
6q
2 less than x
x-2
HOMEWORK:
Evaluate each Expression:
13) 24
d for d = 3 24 ÷ 3 = 8
14) p + 8 for p = 6
6 + 8 = 14
15) 3r – 2 for r = 5 3 x 5 – 2 = 15 – 2 = 13
16) 6a + 8 for a = 7 6 x 7 + 8 = 42 + 8 = 50
17) 5x – y for x = 12 and y = 14 5 x 12 – 14 = 60 – 14 = 46
18) Use the expression 9x – 4. Which value of x gives you a result of 50?
A: 10
B: 45
9 x 10 – 4 = 86
9 x 45 – 4 = 401
C: 5
9 x 5 – 4 = 41
D: 6
E: 7
9 x 6 – 4 = 50
9 x 7 – 4 = 59
Write two word phrases for each variable expression.
Several possible answers
19) z + 24
z plus 24
24 added to z
20) 21 ÷ m 21 divided by m
21) 4n 4 times n
z increased by 24
what is the quotient of 21 and m?
4 multiplied by n
the product of 4 and n
Write a Variable expression for each word phrase.
22) 34 less than k
k - 34
23) d more than 50
50 + d
24) The product of 3 and m
3m (3)(m) 3
m