Writing algebraic expressions
Problem: Ms. Jensen likes to divide her
class into groups of 2. Use mathematical
symbols to represent all the students in
her class.
Problem: Ms. Jensen likes to divide her
class into groups of 2. Use mathematical
symbols to represent all the students in
her class.
Solution: Let g represent the number of
groups in Ms. Jensen's class. Then 2 · g,
or 2g can represent "g groups of 2
students".
Write each phrase as an algebraic
expression
Phrase
The sum of nine and eight
The sum of nine and a number
Write each phrase as an algebraic
expression
Phrase
The sum of nine and eight
The sum of nine and a number
Expression
9+8
9+x
Write each phrase as an algebraic
expression
Phrase
Nine increased by a number x
Fourteen decreased by a number p
Seven less than a number t
The product of 9 and number n
Thirty-two divided by a number y
Write each phrase as an algebraic
expression
Phrase
Nine increased by a number x
Fourteen decreased by a number p
Seven less than a number t
The product of 9 and number n
Thirty-two divided by a number y
Expression
9+x
14 - p
t-7
9n
32/y
A small company has $1000 to distribute to
its employees as a bonus. How much
money will each employee get?
Let e represent the number of employees in
the company. The amount of money each
employee will get is represented by the
following algebraic expression:
1000/e
• An electrician charges $45 per hour and spends
$20 a day on gasoline. Write an algebraic
expression to represent his earnings for one day.
• Let x represent the number of hours the
electrician works in one day. The electrician's
earnings can be represented by the following
algebraic expression:
45x - 20
1. Fifteen less than twice a
number
A.
B.
C.
D.
15 - 2x
2x + 15
2x - 15
None of the above.
1. Fifteen less than twice a
number
A.
B.
C.
D.
15 - 2x
2x + 15
2x - 15
None of the above.
2. Three times a number,
increased by seventeen
A.
B.
C.
D.
3(a + 17)
3a + 17
(17 + 3)a
None of the above.
2. Three times a number,
increased by seventeen
A.
B.
C.
D.
3(a + 17)
3a + 17
(17 + 3)a
None of the above.
3. The product of nine and a
number, decreased by six
A.
B.
C.
D.
9(m - 6)
6(9 - m)
9m – 6
None of the above.
3. The product of nine and a
number, decreased by six
A.
B.
C.
D.
9(m - 6)
6(9 - m)
9m – 6
None of the above.
4. Thirty divided by seven times
a number
A.
B.
C.
D.
30 + 7n
30(7n)
7n/30
None of the above.
4. Thirty divided by seven times
a number
A.
B.
C.
D.
30 + 7n
30(7n)
7n/30
None of the above.
5. Jenny earns $30 a day working part
time at a supermarket. Write an algebraic
expression to represent the amount of
money she will earn in d days.
A.
B.
C.
D.
30d
30 + d
30/d
None of the above
5. Jenny earns $30 a day working part
time at a supermarket. Write an algebraic
expression to represent the amount of
money she will earn in d days.
A.
B.
C.
D.
30d
30 + d
30/d
None of the above