Slide 1

Ch. 1.4
Simplifying Algebraic
Expressions

There are three different ways in which a
basketball player can score points during a game.
There are 1-point free throws, 2-point field goals,
and 3-point field goals. An algebraic expression
can represent the total points scored during a
game.

Write an algebraic expression to represent
each situation.
A. the number of apples in a basket
more are added
12 + n

of 12 after n

B. the number of days it will take to walk 100 miles if
you walk M miles per day
C. Lucy’s age y years after her 18th birthday
18 + y
D. the number of seconds in h hours
3600h

Evaluate the expression for the given
values of the variables.

1) -a2 + 4ab – b2 for a=3;b=7
2) x2y – xy2 + 3y for x=2;y=5
3) 4r – (16s – 4) for r = 3;s=

1
4

In your group, write down the things
you might need to do or consider
when you’re simplifying algebraic
expressions.

Simplify the expressions.
1) 3x2 + 2x – 3y + 4x2
2) j(6k2 + 7k) + 9jk2 – 7jk
3) –3[2x – 2(y + 3y)] – 11y

4) a(a2 + 2a - 1)
a+2

A travel agent is selling 100 discount
packages. He makes $50 for each
Hawaii package and $80 for each
Cancun package.
a)Write an expression to represent the
total the agent will make selling a
combination of the two packages.
b)How much will he make if he sells 28
Hawaii packages?

Apples cost $2 per pound, and
grapes cost $3 per pound.
a)Write and simplify an expression
for the total cost if you buy 10 lb of
apples and grapes combined.
b) What is the total cost if 2 lb of
the 10 lb are apples?

Lesson Quiz: Part I

Write an algebraic expression to represent
each situation.
1. the number of cards in a 52-card deck after n
cards are dealt. 52 – n
2. the number of days in W weeks 7W
3. Evaluate: rq2 + 3qr + r2 for r = 5 and q = 2. 75
4. Simplify: 5h2 + 4k + 7h – 4h2. h2 + 4k + 7h


Slide 2

Ch. 1.4
Simplifying Algebraic
Expressions

There are three different ways in which a
basketball player can score points during a game.
There are 1-point free throws, 2-point field goals,
and 3-point field goals. An algebraic expression
can represent the total points scored during a
game.

Write an algebraic expression to represent
each situation.
A. the number of apples in a basket
more are added
12 + n

of 12 after n

B. the number of days it will take to walk 100 miles if
you walk M miles per day
C. Lucy’s age y years after her 18th birthday
18 + y
D. the number of seconds in h hours
3600h

Evaluate the expression for the given
values of the variables.

1) -a2 + 4ab – b2 for a=3;b=7
2) x2y – xy2 + 3y for x=2;y=5
3) 4r – (16s – 4) for r = 3;s=

1
4

In your group, write down the things
you might need to do or consider
when you’re simplifying algebraic
expressions.

Simplify the expressions.
1) 3x2 + 2x – 3y + 4x2
2) j(6k2 + 7k) + 9jk2 – 7jk
3) –3[2x – 2(y + 3y)] – 11y

4) a(a2 + 2a - 1)
a+2

A travel agent is selling 100 discount
packages. He makes $50 for each
Hawaii package and $80 for each
Cancun package.
a)Write an expression to represent the
total the agent will make selling a
combination of the two packages.
b)How much will he make if he sells 28
Hawaii packages?

Apples cost $2 per pound, and
grapes cost $3 per pound.
a)Write and simplify an expression
for the total cost if you buy 10 lb of
apples and grapes combined.
b) What is the total cost if 2 lb of
the 10 lb are apples?

Lesson Quiz: Part I

Write an algebraic expression to represent
each situation.
1. the number of cards in a 52-card deck after n
cards are dealt. 52 – n
2. the number of days in W weeks 7W
3. Evaluate: rq2 + 3qr + r2 for r = 5 and q = 2. 75
4. Simplify: 5h2 + 4k + 7h – 4h2. h2 + 4k + 7h


Slide 3

Ch. 1.4
Simplifying Algebraic
Expressions

There are three different ways in which a
basketball player can score points during a game.
There are 1-point free throws, 2-point field goals,
and 3-point field goals. An algebraic expression
can represent the total points scored during a
game.

Write an algebraic expression to represent
each situation.
A. the number of apples in a basket
more are added
12 + n

of 12 after n

B. the number of days it will take to walk 100 miles if
you walk M miles per day
C. Lucy’s age y years after her 18th birthday
18 + y
D. the number of seconds in h hours
3600h

Evaluate the expression for the given
values of the variables.

1) -a2 + 4ab – b2 for a=3;b=7
2) x2y – xy2 + 3y for x=2;y=5
3) 4r – (16s – 4) for r = 3;s=

1
4

In your group, write down the things
you might need to do or consider
when you’re simplifying algebraic
expressions.

Simplify the expressions.
1) 3x2 + 2x – 3y + 4x2
2) j(6k2 + 7k) + 9jk2 – 7jk
3) –3[2x – 2(y + 3y)] – 11y

4) a(a2 + 2a - 1)
a+2

A travel agent is selling 100 discount
packages. He makes $50 for each
Hawaii package and $80 for each
Cancun package.
a)Write an expression to represent the
total the agent will make selling a
combination of the two packages.
b)How much will he make if he sells 28
Hawaii packages?

Apples cost $2 per pound, and
grapes cost $3 per pound.
a)Write and simplify an expression
for the total cost if you buy 10 lb of
apples and grapes combined.
b) What is the total cost if 2 lb of
the 10 lb are apples?

Lesson Quiz: Part I

Write an algebraic expression to represent
each situation.
1. the number of cards in a 52-card deck after n
cards are dealt. 52 – n
2. the number of days in W weeks 7W
3. Evaluate: rq2 + 3qr + r2 for r = 5 and q = 2. 75
4. Simplify: 5h2 + 4k + 7h – 4h2. h2 + 4k + 7h


Slide 4

Ch. 1.4
Simplifying Algebraic
Expressions

There are three different ways in which a
basketball player can score points during a game.
There are 1-point free throws, 2-point field goals,
and 3-point field goals. An algebraic expression
can represent the total points scored during a
game.

Write an algebraic expression to represent
each situation.
A. the number of apples in a basket
more are added
12 + n

of 12 after n

B. the number of days it will take to walk 100 miles if
you walk M miles per day
C. Lucy’s age y years after her 18th birthday
18 + y
D. the number of seconds in h hours
3600h

Evaluate the expression for the given
values of the variables.

1) -a2 + 4ab – b2 for a=3;b=7
2) x2y – xy2 + 3y for x=2;y=5
3) 4r – (16s – 4) for r = 3;s=

1
4

In your group, write down the things
you might need to do or consider
when you’re simplifying algebraic
expressions.

Simplify the expressions.
1) 3x2 + 2x – 3y + 4x2
2) j(6k2 + 7k) + 9jk2 – 7jk
3) –3[2x – 2(y + 3y)] – 11y

4) a(a2 + 2a - 1)
a+2

A travel agent is selling 100 discount
packages. He makes $50 for each
Hawaii package and $80 for each
Cancun package.
a)Write an expression to represent the
total the agent will make selling a
combination of the two packages.
b)How much will he make if he sells 28
Hawaii packages?

Apples cost $2 per pound, and
grapes cost $3 per pound.
a)Write and simplify an expression
for the total cost if you buy 10 lb of
apples and grapes combined.
b) What is the total cost if 2 lb of
the 10 lb are apples?

Lesson Quiz: Part I

Write an algebraic expression to represent
each situation.
1. the number of cards in a 52-card deck after n
cards are dealt. 52 – n
2. the number of days in W weeks 7W
3. Evaluate: rq2 + 3qr + r2 for r = 5 and q = 2. 75
4. Simplify: 5h2 + 4k + 7h – 4h2. h2 + 4k + 7h


Slide 5

Ch. 1.4
Simplifying Algebraic
Expressions

There are three different ways in which a
basketball player can score points during a game.
There are 1-point free throws, 2-point field goals,
and 3-point field goals. An algebraic expression
can represent the total points scored during a
game.

Write an algebraic expression to represent
each situation.
A. the number of apples in a basket
more are added
12 + n

of 12 after n

B. the number of days it will take to walk 100 miles if
you walk M miles per day
C. Lucy’s age y years after her 18th birthday
18 + y
D. the number of seconds in h hours
3600h

Evaluate the expression for the given
values of the variables.

1) -a2 + 4ab – b2 for a=3;b=7
2) x2y – xy2 + 3y for x=2;y=5
3) 4r – (16s – 4) for r = 3;s=

1
4

In your group, write down the things
you might need to do or consider
when you’re simplifying algebraic
expressions.

Simplify the expressions.
1) 3x2 + 2x – 3y + 4x2
2) j(6k2 + 7k) + 9jk2 – 7jk
3) –3[2x – 2(y + 3y)] – 11y

4) a(a2 + 2a - 1)
a+2

A travel agent is selling 100 discount
packages. He makes $50 for each
Hawaii package and $80 for each
Cancun package.
a)Write an expression to represent the
total the agent will make selling a
combination of the two packages.
b)How much will he make if he sells 28
Hawaii packages?

Apples cost $2 per pound, and
grapes cost $3 per pound.
a)Write and simplify an expression
for the total cost if you buy 10 lb of
apples and grapes combined.
b) What is the total cost if 2 lb of
the 10 lb are apples?

Lesson Quiz: Part I

Write an algebraic expression to represent
each situation.
1. the number of cards in a 52-card deck after n
cards are dealt. 52 – n
2. the number of days in W weeks 7W
3. Evaluate: rq2 + 3qr + r2 for r = 5 and q = 2. 75
4. Simplify: 5h2 + 4k + 7h – 4h2. h2 + 4k + 7h


Slide 6

Ch. 1.4
Simplifying Algebraic
Expressions

There are three different ways in which a
basketball player can score points during a game.
There are 1-point free throws, 2-point field goals,
and 3-point field goals. An algebraic expression
can represent the total points scored during a
game.

Write an algebraic expression to represent
each situation.
A. the number of apples in a basket
more are added
12 + n

of 12 after n

B. the number of days it will take to walk 100 miles if
you walk M miles per day
C. Lucy’s age y years after her 18th birthday
18 + y
D. the number of seconds in h hours
3600h

Evaluate the expression for the given
values of the variables.

1) -a2 + 4ab – b2 for a=3;b=7
2) x2y – xy2 + 3y for x=2;y=5
3) 4r – (16s – 4) for r = 3;s=

1
4

In your group, write down the things
you might need to do or consider
when you’re simplifying algebraic
expressions.

Simplify the expressions.
1) 3x2 + 2x – 3y + 4x2
2) j(6k2 + 7k) + 9jk2 – 7jk
3) –3[2x – 2(y + 3y)] – 11y

4) a(a2 + 2a - 1)
a+2

A travel agent is selling 100 discount
packages. He makes $50 for each
Hawaii package and $80 for each
Cancun package.
a)Write an expression to represent the
total the agent will make selling a
combination of the two packages.
b)How much will he make if he sells 28
Hawaii packages?

Apples cost $2 per pound, and
grapes cost $3 per pound.
a)Write and simplify an expression
for the total cost if you buy 10 lb of
apples and grapes combined.
b) What is the total cost if 2 lb of
the 10 lb are apples?

Lesson Quiz: Part I

Write an algebraic expression to represent
each situation.
1. the number of cards in a 52-card deck after n
cards are dealt. 52 – n
2. the number of days in W weeks 7W
3. Evaluate: rq2 + 3qr + r2 for r = 5 and q = 2. 75
4. Simplify: 5h2 + 4k + 7h – 4h2. h2 + 4k + 7h


Slide 7

Ch. 1.4
Simplifying Algebraic
Expressions

There are three different ways in which a
basketball player can score points during a game.
There are 1-point free throws, 2-point field goals,
and 3-point field goals. An algebraic expression
can represent the total points scored during a
game.

Write an algebraic expression to represent
each situation.
A. the number of apples in a basket
more are added
12 + n

of 12 after n

B. the number of days it will take to walk 100 miles if
you walk M miles per day
C. Lucy’s age y years after her 18th birthday
18 + y
D. the number of seconds in h hours
3600h

Evaluate the expression for the given
values of the variables.

1) -a2 + 4ab – b2 for a=3;b=7
2) x2y – xy2 + 3y for x=2;y=5
3) 4r – (16s – 4) for r = 3;s=

1
4

In your group, write down the things
you might need to do or consider
when you’re simplifying algebraic
expressions.

Simplify the expressions.
1) 3x2 + 2x – 3y + 4x2
2) j(6k2 + 7k) + 9jk2 – 7jk
3) –3[2x – 2(y + 3y)] – 11y

4) a(a2 + 2a - 1)
a+2

A travel agent is selling 100 discount
packages. He makes $50 for each
Hawaii package and $80 for each
Cancun package.
a)Write an expression to represent the
total the agent will make selling a
combination of the two packages.
b)How much will he make if he sells 28
Hawaii packages?

Apples cost $2 per pound, and
grapes cost $3 per pound.
a)Write and simplify an expression
for the total cost if you buy 10 lb of
apples and grapes combined.
b) What is the total cost if 2 lb of
the 10 lb are apples?

Lesson Quiz: Part I

Write an algebraic expression to represent
each situation.
1. the number of cards in a 52-card deck after n
cards are dealt. 52 – n
2. the number of days in W weeks 7W
3. Evaluate: rq2 + 3qr + r2 for r = 5 and q = 2. 75
4. Simplify: 5h2 + 4k + 7h – 4h2. h2 + 4k + 7h


Slide 8

Ch. 1.4
Simplifying Algebraic
Expressions

There are three different ways in which a
basketball player can score points during a game.
There are 1-point free throws, 2-point field goals,
and 3-point field goals. An algebraic expression
can represent the total points scored during a
game.

Write an algebraic expression to represent
each situation.
A. the number of apples in a basket
more are added
12 + n

of 12 after n

B. the number of days it will take to walk 100 miles if
you walk M miles per day
C. Lucy’s age y years after her 18th birthday
18 + y
D. the number of seconds in h hours
3600h

Evaluate the expression for the given
values of the variables.

1) -a2 + 4ab – b2 for a=3;b=7
2) x2y – xy2 + 3y for x=2;y=5
3) 4r – (16s – 4) for r = 3;s=

1
4

In your group, write down the things
you might need to do or consider
when you’re simplifying algebraic
expressions.

Simplify the expressions.
1) 3x2 + 2x – 3y + 4x2
2) j(6k2 + 7k) + 9jk2 – 7jk
3) –3[2x – 2(y + 3y)] – 11y

4) a(a2 + 2a - 1)
a+2

A travel agent is selling 100 discount
packages. He makes $50 for each
Hawaii package and $80 for each
Cancun package.
a)Write an expression to represent the
total the agent will make selling a
combination of the two packages.
b)How much will he make if he sells 28
Hawaii packages?

Apples cost $2 per pound, and
grapes cost $3 per pound.
a)Write and simplify an expression
for the total cost if you buy 10 lb of
apples and grapes combined.
b) What is the total cost if 2 lb of
the 10 lb are apples?

Lesson Quiz: Part I

Write an algebraic expression to represent
each situation.
1. the number of cards in a 52-card deck after n
cards are dealt. 52 – n
2. the number of days in W weeks 7W
3. Evaluate: rq2 + 3qr + r2 for r = 5 and q = 2. 75
4. Simplify: 5h2 + 4k + 7h – 4h2. h2 + 4k + 7h


Slide 9

Ch. 1.4
Simplifying Algebraic
Expressions

There are three different ways in which a
basketball player can score points during a game.
There are 1-point free throws, 2-point field goals,
and 3-point field goals. An algebraic expression
can represent the total points scored during a
game.

Write an algebraic expression to represent
each situation.
A. the number of apples in a basket
more are added
12 + n

of 12 after n

B. the number of days it will take to walk 100 miles if
you walk M miles per day
C. Lucy’s age y years after her 18th birthday
18 + y
D. the number of seconds in h hours
3600h

Evaluate the expression for the given
values of the variables.

1) -a2 + 4ab – b2 for a=3;b=7
2) x2y – xy2 + 3y for x=2;y=5
3) 4r – (16s – 4) for r = 3;s=

1
4

In your group, write down the things
you might need to do or consider
when you’re simplifying algebraic
expressions.

Simplify the expressions.
1) 3x2 + 2x – 3y + 4x2
2) j(6k2 + 7k) + 9jk2 – 7jk
3) –3[2x – 2(y + 3y)] – 11y

4) a(a2 + 2a - 1)
a+2

A travel agent is selling 100 discount
packages. He makes $50 for each
Hawaii package and $80 for each
Cancun package.
a)Write an expression to represent the
total the agent will make selling a
combination of the two packages.
b)How much will he make if he sells 28
Hawaii packages?

Apples cost $2 per pound, and
grapes cost $3 per pound.
a)Write and simplify an expression
for the total cost if you buy 10 lb of
apples and grapes combined.
b) What is the total cost if 2 lb of
the 10 lb are apples?

Lesson Quiz: Part I

Write an algebraic expression to represent
each situation.
1. the number of cards in a 52-card deck after n
cards are dealt. 52 – n
2. the number of days in W weeks 7W
3. Evaluate: rq2 + 3qr + r2 for r = 5 and q = 2. 75
4. Simplify: 5h2 + 4k + 7h – 4h2. h2 + 4k + 7h