Name__________________
Date____________
Class Work Lesson 4
1) Directions: Write an algebraic expression for each.
2)
a) five less than three times a number
b) eight less than the quotient of a number and two
c) nine times the sum of a number and fifteen
d) The sum of twice a number and seven
e) one plus the product of a number and five
f) A number less than twenty five
g) The sum of half a number and four
h) seven less than a third of the sum of a number and two
Directions: Write two written expression for each. Use the key vocabulary.
a) 10  h
b)
c) 7(n  13)
d) 2 x  12
e)
c
10
g) g (10  h)
(d  9)  10
f) 2  (n  13)
3) Enrichment
a. SOLAR SYSTEM It takes Earth about 365 days to orbit the sun. It takes Uranus about 85
times as long. Write a numerical expression to describe the number of days it takes Uranus
to orbit the sun.
b. TECHNOLOGY There are 1024 bytes in a kilobyte. Write an algebraic expression that
describes the number of bytes in a computer chip with n kilobytes.
c. THEATER Howard Hughes, Professor Emeritus of Texas Wesleyan College, reportedly
attended a record 6136 theatrical shows. Write an algebraic expression to represent the
average number of theater shows attended if he accumulated the record over y years. Use
the expression to find the average number of shows Mr. Hughes attended per year if he
went to the theater for 31 years.
d. TIDES The difference between high and low tides along the Maine coast in
November is 19 feet on Monday and x feet on Tuesday. Write an algebraic expression to
show the average rise and fall of the tide for Monday and Tuesday.
For Exercises e-g, use the following information.
A toy manufacturer produces a set of blocks that can be used by children to build play
structures. The product packaging team is analyzing different arrangements for packaging
their blocks. One idea they have is to arrange the blocks in the shape of a cube, with b
blocks along one edge.
e. Write an algebraic expression representing the total number of blocks packaged in a
cube measuring b blocks on one edge.
f. The packaging team decides to take one layer of blocks off the top of this package. Write
an algebraic expression representing the number of blocks in the top layer of the package.
g. The team finally decides that their favorite package arrangement is to take 2 layers of
blocks off the top of a cube measuring b blocks along one edge. Write an algebraic
expression representing the number of blocks left behind after the top two layers are
removed.
Answer key
3) Directions: Write an algebraic expression for each.
a) five less than three times a number
b) eight less than the quotient of a number and two
n
8
2
3n-5
c) nine times the sum of a number and fifteen
d) The sum of twice a number and seven
9(n+15)
e) one plus the product of a number and five
2n+7
f) A number less than twenty five
1+ 5n
g) The sum of half a number and four
25-n
h) seven less than a third of the sum of a number and two
n
1
 4or n  4
2
2
4)
1
(n  2)  7
3
Directions: Write two written expression for each. Use the key vocabulary.
a) 10  h
a
b)
(d  9)  10
Answers will vary. Possible answers
listed on power point
c) 7(n  13)
d) 2 x  12
e)
c
10
g) g (10  h)
f) 2  (n  13)
3) Enrichment
a. SOLAR SYSTEM It takes Earth about 365 days to orbit the sun. It takes Uranus about 85
times as long. Write a numerical expression to describe the number of days it takes Uranus
to orbit the sun.
365(85)
b. TECHNOLOGY There are 1024 bytes in a kilobyte. Write an algebraic expression that
describes the number of bytes in a computer chip with n kilobytes.
1024n
c. THEATER Howard Hughes, Professor Emeritus of Texas Wesleyan College, reportedly
attended a record 6136 theatrical shows. Write an algebraic expression to represent the
average number of theater shows attended if he accumulated the record over y years. Use
the expression to find the average number of shows Mr. Hughes attended per year if he
went to the theater for 31 years.
6136
y
y  197
d. TIDES The difference between high and low tides along the Maine coast in
November is 19 feet on Monday and x feet on Tuesday. Write an algebraic expression to
show the average rise and fall of the tide for Monday and Tuesday.
19  x
2
For Exercises e-g, use the following information.
A toy manufacturer produces a set of blocks that can be used by children to build play
structures. The product packaging team is analyzing different arrangements for packaging
their blocks. One idea they have is to arrange the blocks in the shape of a cube, with b
blocks along one edge.
e. Write an algebraic expression representing the total number of blocks packaged in a
cube measuring b blocks on one edge.
b3
f. The packaging team decides to take one layer of blocks off the top of this package. Write
an algebraic expression representing the number of blocks in the top layer of the package.
b2
g. The team finally decides that their favorite package arrangement is to take 2 layers of
blocks off the top of a cube measuring b blocks along one edge. Write an algebraic
expression representing the number of blocks left behind after the top two layers are
removed.
b3  2b 2or (b  2)  b 2
MA_EquationsExpressions_lesson04_exitslip
Name__________
Date___________
Name__________
Date___________
1) Write an algebraic expression for
Three times the sum of a number and eight
1) Write an algebraic expression for
Three times the sum of a number and eight
2) Write a written expression for the algebraic
expression 9  n using less than.
2) Write a written expression for the algebraic
expression 9  n using less than.
3) Write an algebraic expression for
Ten less than the sum of a six and a number
3) Write an algebraic expression for
Ten less than the sum of a six and a number
Name__________
Name__________
Date___________
Date___________
1) Write an algebraic expression for
Three times the sum of a number and eight
1) Write an algebraic expression for
Three times the sum of a number and eight
2) Write a written expression for the algebraic
expression 9  n using less than.
2) Write a written expression for the algebraic
expression 9  n using less than.
3) Write an algebraic expression for
Ten less than the sum of a six and a number
3) Write an algebraic expression for
Ten less than the sum of a six and a number
Name__________
Date___________
Name__________
Date___________
1) Write an algebraic expression for
Three times the sum of a number and eight
1) Write an algebraic expression for
Three times the sum of a number and eight
2) Write a written expression for the algebraic
expression 9  n using less than.
2) Write a written expression for the algebraic
expression 9  n using less than.
3) Write an algebraic expression for
Ten less than the sum of a six and a number
3) Write an algebraic expression for
Ten less than the sum of a six and a number
Name_________________
Date___________
MA_EquationsExpressions_Lesson04_Homework
1. Write two written expressions for each algebraic expression.
a) 4x + 9
b) 2(x+5)
c) x – 6
2. Write an algebraic expression for the given written expression.
a) a number less than fifteen
b) three times the difference of a number and seven
c.) ten times the sum of a number and eleven
3. (Review) Indicate with math symbols what operations are being described by the given word(s).
Use +, -, •, ÷ symbols.
1. sum _____
2. product _______
3. decreased by ______
4. quotient _______
5. increased by _____
6. difference _________
7. more than ______
8. less than _______
9. twice something ______
4. The written expression “the sum of a number and two, divided by nine” can be written two ways.
Write two algebraic expressions for this written expression. Hint: One is using a fraction bar.
5. Match the written expressions with the correct algebraic expression.
Algebraic Expression
A) Four times the difference of a number and two
B) The sum of a number and three times five
C) Two less than the product of four and a number
D) The product of five and number increased by three
5( p  3)
5p  3
4p  2
4( p  2)
Name_________________
Date___________
ANSWER KEY
1. Write two written expressions for each algebraic expression.
a) 4x + 9
b) 2(x+5)
Answers will vary:
Four times a number plus nine
The product of four and number
increased by nine
Answers will vary:
Two times the sum of a number and five.
The sum of a number and five, multiplied
by two
c) x – 6
Answers will vary:
Six less than a number
The difference of a number and six
2. Write an algebraic expression for the given written expression.
a) a number less than fifteen
b) three times the difference of a number and seven
3(p – 7)
15 - x
c.) ten times the sum of a number and eleven
10(n + 11)
3. (Review) Indicate with math symbols what operations are being described by the given word(s).
Use +, -, •, ÷ symbols.
1. sum _____ +
•
2. product _______
3. decreased by ______
4. quotient _______÷
+
5. increased by _____
6. difference _________
7. more than ______ +
8. less than _______
•
9. twice something ______
4. The written expression “the sum of a number and two, divided by nine” can be written two ways.
Write two algebraic expressions for this written expression. Hint: One is using a fraction bar.
(x + 2) ÷ 9
x2
9
5. Match the written expressions with the correct algebraic expression.
Algebraic Expression
A) Four times the difference of a number and two
4( p  2)
B) The sum of a number and three times five
5( p  3)
C) Two less than the product of four and a number
4p  2
D) The product of five and number increased by three
5p  3
5( p  3)
5p  3
4p  2
4( p  2)