Download To translate algebraic sentences

Name:________________________________________________________________________________Date:_____/_____/__________
Quiz
Day!!
Circle the part of the problem that should be performed FIRST:
1.
(2 + 5 - 32) ÷ 2
2.
21 ÷ 3 + 4(-2)
3. Fill-in-the-chart:
Algebraic Expression
Coefficient(s)
Variable(s)
Constant(s)
-2 + 9x - 2y + 3
4. Evaluate using the Order of Operations:
-32 ÷ 3 - (-10 + 8)3
24 ÷ 2(-3 + 5)2
5. Evaluate when x = -4 and y = 8 :
𝑥𝑦
𝑥
-x
12 – (x + y)2 – x
Today’s Lesson:
What:
translating algebraic sentences
Why:
To translate algebraic sentences
(expressions and equations) between
verbal form and algebraic form.
Vocabulary . . .
Expression—
math sentence that does NOT contain an
_____________
equal
(=) symbol!
Equation–
math sentence that _________________
contain
MUST
an equal symbol!
Addition Key Words
Subtraction Key
Words
Multiplication Key
Words
Division Key Words
“is” means ___________
Translate the following into algebraic
sentences:
1)
six less a number
6-n
3)
the quotient of a
number and twenty
𝒏
𝟐𝟎
2)
six less than a number
n-6
4)
the product of eight and
a number cubed
8n3
5)
Twice a number is six
less than eight.
6)
The total of a number
squared and four is
equal to seven.
2n = 8 - 6
n2 + 4 = 7
7)
two times a number,
plus five
2n + 5
8)
two times the sum of a
number and five
2(n +5)
9)
10)
twice the difference of a twice a number, minus
number and seven
seven
2(n – 7)
11)
Twelve divided by a
number is four.
𝟏𝟐
=
4
𝒏
2n - 7
12)
Twice a number divided
by ten is four less two.
𝟐𝒏
𝟏𝟎
=4-2
13)
14)
one-fourth of a number nine more than twice a
is the same as ten.
number
𝟏
n
=
10
𝟒
2n + 9
Translate the following into verbal
sentences (words):
(Answers can vary)
1) y – 6
“six less than y”
2) x² + 15 = 24
“The sum of a number squared and fifteen
is equal to twenty-four.”
3) 8 + (x + 3)
“eight plus the sum of a number and three”
4) 2x – 9 = 1
“Twice a number minus nine is one.”
5)
x_ + 8 = 4y
2
“A number divided by two, plus eight is
four times a number.”
END OF LESSON
The next slides are student copies of the notes for this
lesson. These notes were handed out in class and
filled-in as the lesson progressed.
NOTE: The last slide(s) in any lesson slideshow
(entitled “Practice Work”) represent the homework
assigned for that day.
Math-7 NOTES
NAME:
DATE: ______/_______/_______
What: translating algebraic sentences
Why: To translate algebraic sentences (expressions and equations)
between verbal form and algebraic form.
Expression—math sentence that does NOT contain an _____________ symbol!
Equation– math sentence that __________________ contain an equal symbol!
Brainstorm . . .
Addition Key Words
Subtraction Key Words
Multiplication Key Words
Division Key Words
“is” means ___________
Translate the following into algebraic sentences:
1) six less a number
2) six less than a number
3) the quotient of a number and
twenty
4) the product of eight and a
number cubed
5) Twice a number is six less
than eight.
6) The total of a number squared
and four is equal to seven.
7) two times a number, plus five
8) two times the sum of a number
and five
9) twice the difference of a
number and seven
10) twice a number, minus seven
11) Twelve divided by a number is
four.
12) Twice a number divided by ten
is four less two.
13) one-fourth of a number is the
same as ten.
14) nine more than twice a
number
Translate the following into verbal sentences (words):
1) y – 6
2) x² + 15 = 24
3) 8 + (x + 3)
4) 2x – 9 = 1
5) _x_ + 8 = 4y
2
Directory for common verbal phrases . . .
NAME:______________________________________________________________________________ DATE: _____/_____/__________
Math-7 Homework/ Practice
“Translating Algebraic Sentences”
Match the following algebraic sentences with the correct verbal sentence:
1) _____ y - 10
A.
the quotient of five and three times y
2) _____ 10 - y
B.
The sum of 6 and y divided by 3 is 24.
3) _____ y² + 4y
C.
ten less than y
4) _____ 2y – 3 = 9
D.
four less the product of 2 and y
5) _____ 3(y + 6) = 24
E.
the total of y squared and four times y
6) _____ 5y²
F.
y cubed divided by five
7) _____ 3y + 6 = 24
G.
Three times the sum of y and 6 is 24.
8) _____ 2y + 4y
H.
four less than twice y
9) _____ 5(2y)
I.
ten less y
10) _____ 6 + _y_ = 24
3
J.
Three times the difference of y and 6 is 24.
11) _____ 3( y – 6) = 24
K.
Twice y less three is 9.
12) _____ 2y - 4
L.
the product of five and twice y
13) _____ 4 – 2y
M.
five times y squared
14) _____ _y³
5
N.
twice y added to four times y
15) _____
O.
The total of three times y and 6 is 24.
_5_
3y