F rom words to math symbols Look for EQUALITY words EQUALITY words mean you will write an EQUATION or INEQUALITY lt gt ID: 524004
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Slide1
Translating into Expressions and Equations
F
rom words to math symbolsSlide2
Look for EQUALITY
words
EQUALITY
words mean you will write an
EQUATION
(
=
)
or
INEQUALITY
(
<
,
>
,
≤
,
≥
,
≠
)
NO
EQUALITY
words means you will write an EXPRESSIONSlide3
=
OR
≠
IS
equalsIS equal toIS the same as
is NOT equal todoes NOT equalis NOT the same as
other verbs might be used instead of IS: was, were, are, has, have, etc.Slide4
<
OR
>
IS less than
IS smaller thanIS lower thanIS younger than
IS greater thanIS more thanIS larger than
IS bigger than
IS higher than
IS older thanSlide5
≤
OR
≥
IS less than or equal to
IS at mostIS no more thanIS no bigger than
IS greater than or equal toIS at leastIS no less than
IS no younger thanSlide6
Which symbol would you use?
equals
=
is greater than or equal to
is at least
is less than
IS
does NOT equal
is at most
<
≠
≥
is less than or equal to
is more than
>
is no more than
≤
is no less than
is greater thanSlide7
Look for OPERATION
words
OPERATION
words tell you to:ADD (+
)SUBTRACT (–)
MULTIPLY
(
•
)
DIVIDE
(
÷
)
use
EXPONENTS
(
x
2
)Slide8
+
OR
–
plus
increased byadded to
more thansum ofminus
decreased by
subtracted from
less than
difference ofSlide9
•
OR
÷
times
multiplied byproduct of
out ofdivided byquotient ofSlide10
Some translate directly…
six
plus
three
6
3
+
increased by
negative two
minus
seven
-2
7
–
decreased by
negative five
nine
-5
9
•
multiplied by
four
eight
4
8
÷
divided by
times
out ofSlide11
Now You Try!
negative eight
increased by
twenty-two
-8
+ 22
thirteen multiplied by nine
13
•
9
four
out of
five
4
÷
5
negative fifteen
minus
negative six
-15
–
-6Slide12
–
Some are tricky…
four
and
negative ten
4
-10
+
sum of
five
and
eleven
5
11
difference of
ten
and
twelve
10
12
•
product of
nine
and
negative three
9
-3
÷
quotient of
(
)
(
)
(
)
(
)Slide13
–
2
More tricky ones…
sixteen
16
+ 6
six
more than
eleven
twenty
added to
11
+
20
negative four
-4
–
5
five
less than
nine
two
subtracted from
9Slide14
Now You Try!
the
difference of
seventeen
and
negative four( -4 –
17 )
negative three
added to
nineteen
19
+
-3
eleven
subtracted from
two
2
–
11
the
product of
negative one
and
eight
(
-1 •
8 )
the quotient of thirty
and five
(
30
÷
5
)
the
sum of
negative
forty-one
and
six
(
-41
+
6
)Slide15
Words that signal EXPONENTS
six
raised to the
third
6
3
power
five
squared
5
2
ten
fifth
10
5
four
cubed
4
3
You Try!
nine
cubed
twelve
squared
9
3
12
2
two
raised to the
fourth
power
2
4
six
raised to the
eighth
power
6
8Slide16
More signal words…
Word(s)
Meaning
a number
variable, such as
n or
x
Example:
three
plus
a number
y
3
+
y
twice
2
times
Example:
twice
a number
m
2
m
quantity
use parentheses
( )
Example:
quantity
seven
minus
one
(
7
–
1
)
negative six
quantity
squared
(
–6
)
2Slide17
Combine for complex expressions
eight
times
the
quotient of
three and n
8•
3
n
÷
)
(
3
n
(
)
8
negative six
minus
the
sum of
x
and
two
-6
–
2
x
+
)
(
(
x
+
2
)
-6
–Slide18
Translate Equations & Inequalities
five
more than
a number
c
c
+52
c
equals
twice
c
=
negative
z
quantity
squared
(
-
z
)
2
12
is at least
twelve
≥
twenty
minus
ten
20
–
10
w
–
2
is less than
two
less than
w
<
n
divided by
four
n
÷
4
7
•
16
is at most
seven
times
sixteen
≤Slide19
Now You Try!
seven
is greater than or equal to
three
minus
p7 ≥
3 – p
a number
q
subtracted from
five
equals
two
plus
six
5
–
q
=
2
+
6
the product of
nine
and the quantity
negative two plus
h is no less than
the difference of h
and eight
(
9
•
(
-2
+
h
)
)
≥
(
h
–
8
)
thirty
divided by
f
is
three
more than
negative four
30
÷
f
=
-4
+
3
twelve
less than
v
is less than
four
cubed
v
–
12
<
4
3Slide20
Now You Try!
three times a number
x
decreased by fourteen
3
x – 14
four divided by the sum of negative two and twice k
4 ÷ (-2 + 2
k
)
thirty-one is greater than a number
t
divided by six
31 >
t
÷ 6
four times
y
squared equals one hundred
4
y
2
= 100
the difference of
j
and nineteen is at most fifty
(
j
– 19) ≤ 50
four times
y
quantity squared equals sixty
-four
(4
y
)
2
= 64