1. Ch 1.1 Variables and Expressions
Objective:
To translate English words and phrases into mathematical symbols and expressions.

2. What is a variable?
… a letter that represents an unknown value.
1) 3 + ___ = 10
2) = 9
n is a variable
3) n = 12
4) = 8

3. Key Words _ + plus minus times divide add subtract multiply quotient
increased by
decreased by
product
per
sum
diminished by of
total
difference
twice (2 )
less
more than
less than
subtracted from

4. A special word in each column refers not to the operation itself but the outcome of the operation._ +
plus
minus
times
divide
add
subtract
multiply
quotient
increased by
decreased by
product
per
sum
diminished by of
total
difference
twice ( 2)
less
more than
less than
subtracted from

5. Examples 1) 10 plus a 2) 7 minus b 3) 4 times c 10 + a 7 - b 4  c
Underline the key words or phrases in each sentence.
Then write the mathematical expression for each sentence.
1) 10 plus a
2) 7 minus b
3) 4 times c 10 + a 7 - b 4  c

6. Examples ÷ 4) The sum of 5 and x 5) the product of 10 and y
Underline the key words or phrases in each sentence.
Then write the mathematical expression for each sentence.
4) The sum of 5 and x
5) the product of 10 and y
6) the quotient of z and 9
( ) 5 + x
( ) 10  y
( ) z ÷ 9

7. Classwork 1) The sum of 8 and p 2) 6 decreased by q 3) 4 times r
Underline the key words or phrases in each sentence.
Then write the mathematical expression for each sentence.
1) The sum of 8 and p
2) 6 decreased by q
3) 4 times r

8. Classwork 4) The difference of 3 and s 5) The quotient of t and 3
Underline the key words or phrases in each sentence.
Then write the mathematical expression for each sentence.
4) The difference of 3 and s
5) The quotient of t and 3
6) The product of 7 and v

9. Tricky Ones!
5 more than x
6 less than t x + 5 t - 6
7 subtracted from g g - 7

10. Examples 7) 6 less than n 8) 9 subtracted from x 9) 12 more than t
Underline the key words or phrases in each sentence.
Then write the mathematical expression for each sentence.
7) 6 less than n
8) 9 subtracted from x
9) 12 more than t
= n - 6 n - 6 x - 9
= x - 9
= t + 12 t + 12

11. Classwork 7) 14 more than s 8) r less than 3 9) 56 subtracted from w
Underline the key words or phrases in each sentence.
Then write the mathematical expression for each sentence.
7) 14 more than s
8) r less than 3
9) 56 subtracted from w

12. Examples 10) 6 less than twice a number x
Underline the key words or phrases in each sentence.
Then write the mathematical expression for each sentence.
10) 6 less than twice a number x
11) 5 times the sum of y and 4
12) the quotient of 7 and a number x less 2 - 6
= 2x - 6 2 x 5
( )
y 4
= 5(y + 4)
( ÷ )
7 x - 2
= (7 ÷ x) - 2

13. Classwork 10) the sum of 6 and k divided by 9
Underline the key words or phrases in each sentence.
Then write the mathematical expression for each sentence.
10) the sum of 6 and k divided by 9
11) 4 times the difference of 12 and y
12) 10 less than the product of 3 and m