1. Math 1-7: Warm-up Multiply. 3(-4) -6(-2) Divide 66 ÷ (-11)
Find the mean of the set of integers.
5. 3, -6, -8, -10, -4
What is the value of ab – c, if a = -3, b = 4, and c = -2?
A B C D. 12

2. Math 1-7: Writing Expressions and Equations
Objective: How to write algebraic expressions and equations from verbal phrases and sentences.

3. Vocabulary
defining a variable – choosing a variable and an unknown quantity for the variable to represent
Review:
expression – contains numbers, at least one operation, and possibly variables
equation – mathematical sentence that contains an equal sign (=)

4. Common words/phrases Addition or Subtraction
Multiplication or Division
plus
increased by
minus
subtract
times
each
divided
rate
sum
in all
less
decreased by
product of
quotient
ratio
total
more than
less than
difference
multiplied
factors
an, in, or per
separate

5. More than one phrase… x + 8 r – 6 4n n – 9 = 45 Phrases Expression
8 more than a number
the sum of 8 and a number
x plus 8
x increased by 8
x + 8
the difference of r and 6
6 subtracted from a number
6 less than a number
r minus 6
r – 6
4 multiplied by n
4 times a number
the product of 4 and n 4n
a number divided by 3
the quotient of z and 3
the ratio of z and 3
Sentences
Equation
9 less than a number is equal to 45
the difference of a number and 9 is 45
a number decreased by 9 is 45
45 is equal to a number minus 9
n – 9 = 45

6. Examples Write each verbal phrase as an algebraic expression.
the sum of 8 and t
8 + t
the quotient of g and 15
the product of 5 and b 5b
p increased by 10
p + 10

7. double the price of a loaf of bread
14 less than f
f – 14
the difference of 32 and x
32 – x
double the price of a loaf of bread 2p
stalks of celery are divided into 4 portions

8. Examples Write each verbal phrase as an algebraic equation.
5 more than a number is 6
n + 5 = 6
the product of 7 and b is equal to 63
7b = 63
the sum of r and 45 is 79
r + 45 = 79
the quotient of x and 7 is equal to 13

9. the original price decreased by $5 is $34
x – 5 = 34
the price of the book plus $5 shipping is $29
b + 5 = 29
30 is 6 times a number
30 = 6n
5 shirts at $d each is $105.65
5d =

10. Assignment
1-7 Practice Skills (1-10a; 15-24a)
1-7 Enrichment (ec)