1.
1
–
Basics
of
Algebra
Write your questions
and thoughts here!
1
Preview
of
the
Lesson:
1. Evaluate
Algebraic
Expressions.
2. Simplify
Algebraic
Expressions
3. Simplifying
with
Fractions
I. EVALUATE & SIMPLIFY ALGEBRAIC EXPRESSIONS To the lesson!
Order
of
Operations:
Algebra I
Section 1.1
P
E
M
D
A
S
G
E
M
D
A
S
Evaluate.
1. 𝑘 + 6 ℎ + 𝑗 2. 𝑧 − 𝑥 + 𝑦 !
use
ℎ = −6, 𝑗 = −2,
and
𝑘 = −1. use
𝑥 = −6, 𝑦 = 3,
and
𝑧 = 2.
!!!
You Try!
3.
4. 𝑧 − (𝑦 + 𝑥 ! )
!! !
use 𝑎 = −6, 𝑏 = −2, and 𝑐 = 2
use
𝑥 = −4, 𝑦 = −14,
and
𝑧 = 2
Algebra I
! ! !
Combine
Like
Terms:
4𝑥 + 𝑦 + 𝑥 + 5𝑦 Section 2.4
You
should
know
the
following
words:
term,
expression,
variable,
constant,
and
coefficient
Simplify.
5. 5𝑤 − 3𝑤 3𝑤 + 6 6. −9 4 + 3𝑏 − 3 −7𝑏 + 5
7. −5𝑟 3𝑟 + 2 − 𝑟 8. −4𝑥 𝑥 − 1 − −𝑥 + 5
Writing
Expressions:
Mr.
Bean
drives
a
scooter.
(No…seriously,
he
really
does.)
Suppose
his
scooter
currently
has
8,200
kms
on
it
and
he
plans
on
driving
the
scooter
36km
per
day.
Write
an
expression
for
the
number
of
km
Mr.
Bean
drives
on
his
scooter
over
time.
1.1
–
Basics
of
Algebra
Write your questions
and thoughts here!
2
Finding
the
LCM:
Find
the
LCM
of
the
following
numbers.
a. {6,
5,
3} b. {2,
3,
5} c. {7,
1,
2,
4} d. {
4,
8,
12,
24}
Distributing
Through
Fraction:
Simplify.
! ! ! ! ! ! !
9. 12 𝑥 − 𝑦 − 𝑦 + 𝑥 10. 15 𝑦 − 𝑥 − 𝑦 + 𝑥
! ! ! ! ! ! !"
! !" !" ! ! ! !
11. 21 4𝑥 − 𝑦 − 𝑦+ 𝑥 12. 24 𝑦 − 𝑥 − 𝑦 + 𝑥
! ! !" ! ! ! !
Now summarize what
you have learned!
ALGEBRA SKILLZ!
GRAPH SIMPLIFY SOLVE
Simplify the radical Solve for x.
!
𝑓(𝑥) a. 32 a. −5 + = 37
!
b. 2 50
FACTOR
a. 𝑓 0 = b. 𝑥 ! − 12𝑥 + 27
b. y-intercept =
c. 𝑓 𝑥 = 10 when x =
d. x-intercept(s) =
1.1 Practice - Algebra Basics
h
1) x(x(zx)); use x6, and z3 2) j ; use h, and j
3) a cb ; use a, b, and c 4) j j ( jk); use j, and k
5) qm(qm); use m, and q
6) ( jh) (h); use h, and j
Simplify each expression.
7) m(m) 8) m(m)m 9) ( x) x
10) (k)(k) 11) (a)(a) 12) x( x) x( x)
13) Find the Least Common Multiple of the following sets of numbers:
a. {12, 9} b. {7, 12, 2} c. {3, 5, 9} d. {2, 3, 4, 8, 9}
Simplify each expression.
14) (
x y x y
) 15) (
x y x y
)
16) (
x y y y
) 17) (
y x x y
)
pg. 3
1.1 Application
Evaluate.
Simplify.
1. 𝑧 − 𝑥 + 𝑦 !
for
z
=
3,
x
=
-‐2
and
y
=
1 2. −2𝑥 2𝑥 − 1 − 3 − 𝑥
Find
the
perimeter
of
each
of
the
shapes
pictured
below:
3x 4z + 3 6b2 + 7
3.
- 2
7
+ x2 4.
5.
4b2
square
8 – 2x 6b2
6. Draw and label a rectangle with width of 7x and length of 6x – 7. Write an expression to find the total area.
7. Brust
and
Sully's
favorite
weekend
hangout
is
Yabadoo's
kid
center.
A
large
pizza
there
costs
$14.99
and
each
topping
is
$1.99
extra.
a. Write
an
expression
that
represents
the
total
cost
of
large
pizza.
Let
t
=
#
of
toppings.
b. Brust
orders
an
"everything"
pizza
with
8
toppings.
Use
your
expression
to
find
the
total
cost
of
the
pizza.
c. Kelly
and
Bean
show
up
and
order
4
identical
pizzas.
Write
an
expression
that
represents
the
total
cost
for
the
4
pizzas.
(Hint:
Each
pizza
would
have
the
same
#
of
toppings.)
d. Kelly
and
Bean
order
sardines
and
pineapple
on
the
4
pizzas.
Use
your
expression
from
(c)
to
find
the
total
cost
of
the
4
pizzas.
9. SAT PREP Below are sample SAT questions. Terminate it! like a rational decimal!
MULITPLE CHOICE GRID IN
!
All numbers divisible by both 4 and 15 are also divisible by If = 𝑦 and 2𝑦 = 𝑦, what is the value of x?
!
which of the following?
(A) 6
(B) 8
(C) 18
(D) 24
(E) 45
pg. 4
