Homework Text p. 70, #1

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Transcript Homework Text p. 70, #1

Do Now 10/9/09
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Text p. 70, #1-8 all
Text p. 77, #1-10 all
Text p.87, #8-34 evens
In your journal, describe the PROCESS (steps you would
take) to solve the following question. Then solve. What is
this an example of?
+ 7 = 10
=?
Homework
Text p. 70, #1-8 all
 1) 36 ft
 2) 34 m
 3) 73 in.
 4) 324 in.²
 5) 600 cm²
 6) 30 m²
 7) 268 ft, 4200ft²
 8) a). A: 12ft; B: 24 ft
b). A: 9 ft²; B: 36 ft²
c). The perimeter of B
is twice that of A. The
area of A is 4 times that of
B.
Text p. 77, #1-10
 1) 17m / 1 sec
 2) $360 / 1 oz
 3) 1.5 in. / 1 h
 4) 0.75 lb. / 1 ft²
 5) 150 lb
 6) 92 in.
 7) $230
 8) 600,000 miles
 9) 15x Cal
 10) 70t ft
Objective
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SWBAT translate verbal sentences into
equations
Section 2.4, “Variables and
Equations”
EQUATION –
mathematical sentence formed by
placing an “=“ between two
expressions
y – 8 = 12
11a = 121
22 = 14 + z
x ÷ 5 = 30
Equation
x + 7 = 10
Left side
‘x’ has to be 3 in order
to make the equation
balanced.
Like a scale, the left
side and right side must
be the same in order to
be balanced!
Right side
Writing Algebraic Expressions
Operation
Verbal Phrase
Expression
Addition
Sum, plus, total, more
than, increased by
5+n
Subtraction
Difference, less than,
minus, decreased by
12 – p
Product, times, of,
multiplied by
3x5
Multiplication
k + 12
x – 12
3(d)
p∙k
(n)(w)
Division
Quotient, divided by,
divided into
k/7
y
7
14 ÷ r
Writing Equations
Symbol
=
Meaning
Is equal to
Key phrases
The same as, is
Translate verbal phrases into equations
Verbal Phrase
Equation
a. the difference of a number k and 8 is 12.
k – 8 = 12
b. the product of 6 and a number n is 24.
6n = 24
c. the sum of a number y and 5 is 13.
y + 5 = 13
d. the quotient of a number z and 2 is 7.
z÷2=7
A
SOLUTION of an equation with a
variable is a number that produces a TRUE
statement when it is substituted for the
variable.
Tell whether 19 or 20 is a solution to the equation.
k – 8 = 12
(19) – 8 = 12
11 ≠ 12
19 is NOT A SOLUTION
(20) – 8 = 12
12 = 12
20 is a SOLUTION
SOLUTION–
when you substitute for a variable the solution can be
either TRUE or FALSE.
Substitute 9 for each variable. Is 9 the solution for each equation?
k–2=6
(9) – 2 = 6
7≠6
6n = 54
6(9) = 54
NOT A
SOLUTION
SOLUTION
54 = 54
4 = 36/s
4 = 36/(9)
4=4
SOLUTION
Mental Math
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When solving simple equations using
mental math, think of the equation as a
question.
x + 8 = 12
“What number plus 8 is equal to 12? “
x=4
16 – m = 2
“16 minus what number is equal to 2? “
m = 14
“20 is equal to 5 times what number? “
y=4
20 = 5y
v÷8=8
“What number divided by 8 is equal to 8? “
v = 64
24
Homework
 Text
p.87, #8-34 evens