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Unit 7 Writing Algebraic Expressions with Addition and Subtraction Vocabulary Expressions A mathematical representation containing numbers variables and operation symbols an expression does not include an equality or inequality symbol ID: 540831 Download Presentation
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Presentation on theme: "Algebraic Expressions"— Presentation transcript
Slide1
Algebraic ExpressionsSlide2
Unit 7 – Writing Algebraic Expressions with Addition and SubtractionSlide3
Vocabulary
Expressions
- A mathematical representation containing numbers, variables, and operation symbols; an expression does not include an equality or inequality symbol.
Example
: (5+2)− 27 ÷3 (arithmetic/numerical expression)
2a +3b (algebraic/symbolic expression)
Terms
(of an expression)
– part of an algebraic expression separated by addition and/or subtraction
Example
: 9
w
2
+ 3
w
+10
in the expression above
there
are
3 terms, 9
w
2
, 3
w
and 10Slide4
Mathematical Phrases
A
d
d
i
t
ion
PlusAndTotal ofAltogetherIncreased byCombinedSumTogether**More than (flip-flopper)Added to (flip-flopper)In all
Subtraction
Subtract
Gave
Take away
Decreased by
Fewer
Minus
Fewer than (flip-flopper)
**Less than (flip-flopper)
Difference
Less
**Subtracted from (flip-flopper)Slide5
Writing Addition Algebraic Expressions - Example
Write an algebraic expression for the following scenario. Use a bar model to help you.
A box of unknown weight is added to a box whose weight is 10 kilograms. What is the total weight of the two boxes?
y
+ 10 kgSlide6
Writing Algebraic Addition Expressions - Example
Write an algebraic expression for the following scenario. Use a bar model to help you.
The length of a piece of wood is 9 centimeters. The length of another piece of wood is
x
centimeters. What is the total length of the two pieces of wood?
x
+ 9 cmSlide7
Addition Algebraic Expression Practice
Write an algebraic expression for each of the following.
The sum of 7 and
j
.
7 +
jKent is 5 years older than Jake. What is Kent’s age in terms of y?
y + 5Michael is 3 years old and Jordan is p years old. What is their total age? 3 + pThe sum of
m
and 10.
m
+ 10Slide8
Writing Subtraction Algebraic Expressions - Example
Write an algebraic expression for the following scenario. Use a bar model to help you.
A shipping box containing a bowling ball has a total mass of 8 kilograms. If the shipping box weighs
m
kilograms, what is the weight of the bowling ball?
8
–
m
kgSlide9
Writing Subtraction Algebraic Expressions - Example
Write an algebraic expression for the following scenario. Use a bar model to help you.
Wally is 130 centimeters tall. Tia is
b
centimeters shorter than Wally. What is Tia’s height?
130 –
b
cmSlide10
Subtraction Algebraic Expression Practice
Write an algebraic expression for each of the following.
The difference of
a
and 53
a
-
53
Alexis had $60 and she spent
t
dollars. How much money did she have left?
60
-
t
A small toy shop has
m
toys for sale in the store.
a. Tally buys 5 toys. Write an algebraic expression for the number of toys the shop has left.
m
– 5 toys
b. After Tally leaves the shop, Thomas buys 6 toys. Write an algebraic expression for how many toys the shop has left now.
m
- 11 toys