Transcript malina

5 Minute Check
Complete on the back of your homework.
1. 9 + 12 - 15
2. (9 + 2) x 6 - 5
3. 26 + 6² ÷ 4
4. 22 ÷ 2 x 3²
5 Minute Check
Complete on the back of your homework.
1. 9 + 12 - 15
5 Minute Check
Complete on the back of your homework.
1. 9 + 12 – 15
21 – 15
6
5 Minute Check
Complete on the back of your homework.
2. (9 + 2) x 6 - 5
5 Minute Check
Complete on the back of your homework.
2. (9 + 2) x 6 – 5
11 x 6 -5
66 -5
61
5 Minute Check
Complete on the back of your homework.
3. 26 + 6² ÷ 4
5 Minute Check
Complete on the back of your homework.
3. 26 + 6² ÷ 4
26 + 36 ÷ 4
26 + 9
35
5 Minute Check
Complete on the back of your homework.
4. 22 ÷ 2 x 3²
5 Minute Check
Complete on the back of your homework.
4. 22 ÷ 2 x 3²
22 ÷ 2 x 9
11 x 9
99
Wednesday, Nov 20
Lesson 6.3
Algebra: Variables and Expressions
Algebra: Variables and Expressions
Objective: To find the value of expressions
using the order of operations.
Algebra: Variables and Expressions
At the end of this lesson you should be able
to answer the following question.
How are numerical expressions and algebraic
expressions different?
Algebra: Variables and Expressions
Algebra is a language of symbols including
variables.
Algebra: Variables and Expressions
Algebra is a language of symbols including
variables.
A variable is a symbol, usually a letter, used to
represent a number.
Algebra: Variables and Expressions
Algebraic expressions contain at least one
variable and at least one operation.
e.g. n + 2
Algebra: Variables and Expressions
To solve an algebraic expression rewrite the
expression, substituting the variable with the
number.
Evaluate 16 + b, if b = 25
16 + 25 = 41
This is the answer.
Algebra: Variables and Expressions
The number of steps in the answer is
determined by the number of operation in the
expression.
Evaluate 16 + b, if b = 25
16 + 25 = 41
Since there is one operation , there is on step
(or line) in the answer.
Algebra: Variables and Expressions
Evaluate x - y, if x = 64 and y = 27
Do this on your own.
Algebra: Variables and Expressions
Evaluate x - y, if x = 64 and y = 27
64 – 27 = 37
Algebra: Variables and Expressions
1
Evaluate 6x , if x = 2
Do this on your own.
Remember, if there is no operation written it is
assumed to be multiplication.
Algebra: Variables and Expressions
1
Evaluate 6x , if x = 2
1 6
6·2= 2
=3
Algebra: Variables and Expressions
In an expression with more than one operation,
use the order of operations to solve.
Remember - The number of steps in the
answer is determined by the number of
operations in the expression.
Algebra: Variables and Expressions
Evaluate 6t + 4, if t = 3
6·3+4=
18 + 4 = 22
rewrite the expression with numbers
rewrite the expression, solving the
first operation. The last step should
only have one operation.
Algebra: Variables and Expressions
1
Evaluate 4x², if x= 8
Do this on your own.
Algebra: Variables and Expressions
1
Evaluate 4x², if x= 8
1
4 · (8)² =
1
4
1
4 · 64 = 64 = 16
Algebra: Variables and Expressions
1
Evaluate 10a + 7, if x= 5
Do this on your own.
Algebra: Variables and Expressions
1
Evaluate 10a + 7, if x= 5
1
10 · 5
10
5
+7=
+7=
2 +7=9
optional step
Algebra: Variables and Expressions
1
Evaluate 9e², if e= 3
Do this on your own.
Algebra: Variables and Expressions
1
Evaluate 9e², if e= 3
1
9 · (3)²
9·
1
9
9
9
=
=1
=
optional step
Algebra: Variables and Expressions
The amount of money that remains from a 20
dollar bill after Malina buys 4 party favors
for p dollars each is 20 – 4p. Find the
amount remaining if each favor is $3 each.
Do this on your own.
Algebra: Variables and Expressions
The amount of money that remains from a 20
dollar bill after Malina buys 4 party favors
for p dollars each is 20 – 4p. Find the
amount remaining if each favor is $3 each.
$20 – 4p, if p = $3
$20 – 4 · $3
$20 - $12 = $8
Algebra: Variables and Expressions
The volume of a cube can be represented by
s³, where s is the length of a side. If the side
of a cube is ½ meter, what is the volume?
Do this on your own.
Algebra: Variables and Expressions
The volume of a square cube can be
represented by s³, where is the length of a
side. If the side of the cube is ½ meter, what
is the volume?
1
( 2 )³ =
1
2
1
2
1
1
2 = 8
Algebra: Variables and Expressions
How are numerical expressions and algebraic
expressions different?
Algebra: Variables and Expressions
Agenda Notes
Homework –
Homework Practice 6-3
Due Thursday, Nov 21
Mid-Chapter 6 Quiz –
Friday, Nov 22