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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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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

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