Warm upMatch each of the phrases with its appropriate

operation. Operations may be matched more than one.

More than Decreased by Product Quotient Less than Times Total Divided by

Addition

Subtraction

Multiplication

Division

Addition Phrases More than Increase by Greater than Add Total Plus Sum

Subtraction Phrases Decreased by Difference Take Away Less than Subtract minus

ReviewAddition (+) Subtraction (-)

Multiplication (x) Division (÷)

Multiplication Phrases

Product Times Multiply Twice or double Triple

Division Phrases Quotient Divide Divided by half

“Equal to” Phrases Is Are Totals Was Were Same as Will be

Other Key Terms Algebraic expression- expression

built up from numbers and symbols .Is the following an example of an

algebraic expression?

2x-1

Variable A letter or symbol that is used to

represent an unknown numberIdentify the variable in the following

algebraic expression.

5-2a

Term A number, variable, product, or

quotient in an expression separated by operational symbols.

Ex: There are two terms in the algebraic expression

3n + 5

Coefficient A number in a term with a variable

or simply a number in front of a variable.

Identify the coefficient in the following algebraic expression.

4x+5

Let’s Define Algebraic Expressions Again!

Algebraic expressions are expressions built up of coefficients, variables, terms, and operational symbols.

2 x – 1

Coefficient operation Variable Number (constant)

*also include constants and exponents

converting words into math operations & symbols

How do I convert words into math operations & symbols?

WORDS Algebraic ExpressionsSimilar to

Spanish English (Kennedy's example)

me gusta matemáticas! I like math!

to

to

Convert the following into an algebraic expression?Convert the following into an algebraic expression?(first identify operations (key terms) : less than, plus, the product of, sum, more than…….)

Three plus A

Answer: 3+A

3 + A

Convert the following into an algebraic expression?

six decreased by Y (also 6 minus y)

6 - yAnswer: 6-y

Let’s Try Another OneConvert the following into an algebraic expression?

Six less than Y

6 Y

Actually… 6-y is incorrect! The phrase states “six less than y” meaning six “taken away from” y, therefore the correct algebraic expression is…….

Y-6

The product of eight and t

Rearrange: 8 x t 8t Answer• Same as saying “eight times t”

X 8 t Same

as

Five divided by x

*Change ÷ to / Answer: 5/x or

5 ÷ x

Let’s Practice!Phrase Expression

the sum of nine and eight

nine decreased by x

five more than three times x

the product of x and 6

seven divided by two times x

11 less than three times x

The sum of nine and eight

9 + 8

nine decreased by x

X - 9

five more than three times x

the product of x and 6

seven divided by two times x

11 less than three times x

Phrase Expression

five less than twice a number 2n - 5

the product of a number and 6 6n

seven divided by twice a number7 ÷ 2n or

three times a number decreased by 11 3n – 11

Phrase Expression

the sum of nine and eight 9 + 8

nine decreased by x 9 - x

five more than three times x 5 + 3x

the product x and 66x

seven divided by two times x7/2x

11 less than three times x 3x -11

In groups, using the variables, coefficients, and math operations given, write an algebraic expression for….

1) m increased by 5.m + 5

2) 3 times x.3x

3) twelve less than six times n.

6n - 12

4) twelve more than six times n.

12 + 6n

5) the quotient of x and twelve.

12

x

Which of the following expressions represents three times a number decreased by twelve?

1. 3x + 122. 3x - 123. 12 - 3x4. 12 + 3x

Answer NowAnswer Now

Which one of the following expressions represents 28 less than three times a number?

1. 28 - 3x2. 3x - 283. 28 + 3x4. 3x + 28

Answer NowAnswer Now

Additional Practice!Write an algebraic expression for each of the following…

1. Subtract 4 from x.2. the product of 2 and m3. Eight more than a twice w.4. Sixteen less than twice m.5. Five less than a t.6. the product of 100 and w7. Nine less than the product of x and two.