grade 9 advanced ch 1 writing equations.pdf

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•Translate equations into sentences.
Objectives:
•Translate sentences into equations.

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EQ: How do I translate verbal statements
into equations?
A: Follow the same process as with
expressions, but let the word “is” mean =.

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Translate Sentences into Equations
A. Translate this sentence into an equation.
A number b divided by three is equal to six less than c.
Answer:
b divided by three is equal to six less than c.
= c – 6

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Translate Sentences into Equations
B. Translate this sentence into an equation.
Fifteen more than z times six is y times two minus eleven.
Answer: The equation is 15 + 6z = 2y – 11.
Fifteen more than z times six is y times two minus eleven.
15 + z × 6 = y × 2 – 11

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A.6c= d+ 2
B.2c= d+ 6
C.c= d+ 2
D.c= 6(d+ 2)
A. Translate this sentence into an equation.
A number c multiplied by six is equal to two more
than d.

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B. Translate this sentence into an equation.
Three less than a number a divided by four is seven
more than 3 times b.
A.
B.
C.
D.

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Example 2: Write an Equation.
LIFE ONLINE Of 799 teens surveyed about what they do online, some
use a social network. Of those on a social network, 430 say people their
age are “c” online and the remaining 193 do not. Write an equation to
find the number of teens surveyed who are not on a social network
Step 1: Identify each unknown and assign a variable to it.

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Step 2: Identify the givens and their relationship.
799 teens surveyed
Some use a social network
Some not on a social network
Mostly kind Not Mostly kind

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Step 3: Write the sentence as an equation.
The sum of the teens on a social network and those not on a social network is 799.

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A.148 minutes
B.30 minutes
C.3552 minutes
D.24 minutes
A person at the KeyTronic World Invitational
Type-Off typed 148 words per minute. How many
minutes would it take to type 3552 words?

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Example 3: Write an Equation with Multiple Variables.
GEOMETRY Translate the sentence into a formula.
The perimeter of a rectangle is twice the sum of the length and
the width.
Step 1: Identify unknowns.
perimeter, the length, and the width
Step 2: Assign variables.
Step 4: Write an equation.Let
P= perimeter
ℓ= length
w= width.
Step 3: Identify the givens
and their relationships.
The formula for the
perimeter of a rectangle is
P = 2(ℓ + w)

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A.A=  + r
2
B.A= r
2
C.A= 2r
D.A= 2r+ 
Translate the sentence into a formula.
The area of a circle equals the product of  and the
square of the radius r.

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vv
Translate the sentence into a formula.
MOTORS The horsepower of a motor is the product of the motor
speed and the torque divided by 5252.
Check
H
M T

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Q1:
Q2:
Q3:
A.
B.
C.
D.
Homework

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Example 4: Write a Sentence for an Equation
Two z minus one equals five.
What word could we use to represent the operations in the
equation?
Dose the phrase difference of change the order of the terms
in the equation?
What is another way to write the sentence using different
words?

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Translate Equations into Sentences
A. Translate the equation into a verbal sentence.
12 – 2x = –5
12 – 2x = –5
Answer: Twelve minus two times x equals negative five.
Twelve minus two times x equals negative five.

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A.Twelve minus four divided by
bis negative one.
B.Twelve less than four divided
by bequals negative one.
C.Four minus twelve divided by
bequals negative one.
D.Twelve divided by bminus
four equals negative one.
A. Translate the equation into a verbal sentence.

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A.Five plus aequals bsquared
plus one.
B.Five times aequals twice b
plus one.
C.Five times aequals b
squared plus one.
D.The quotient of five and a
equals bsquared plus one.
B. Translate the equation into a verbal sentence.
5a = b
2
+ 1

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Example 5: Write a Sentence for an Equation with
Grouping Symbols
What operations appear in the equation?
What words could be used to represent the parentheses?
How would the equation translate if there were no grouping
symbols?
Three times the quantity y plus one equals twelve

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Example 6: Interpret an Equation
GEOMETRY Write a sentence for the formula for the
surface area of a rectangular prism
S= 2ℓw+ 2ℓh+ 2wh.
Then interpret the equation in the context of the situation.
From the equation, we see that the surface area of a rectangular
prism depends on the length, width, and height.

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Example 6: Interpret an Equation
GEOMETRY Write a sentence for the formula for the
surface area of a rectangular prism
S= 2ℓw+ 2ℓh+ 2wh.
Then interpret the equation in the context of the situation.
From the equation, we see that the surface area of a rectangular
prism depends on the length, width, and height.
This term represents the sum of the areas of the bottom and top faces.
The first term, 2ℓw, is two times the area of a rectangle
In the prism above, the area of the bottom face is ℓw
The top is the same shape, so it has the same area.

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Example 6: Interpret an Equation
GEOMETRY Write a sentence for the formula for the
surface area of a rectangular prism
S= 2ℓw+ 2ℓh+ 2wh.
Then interpret the equation in the context of the situation.
From the equation, we see that the surface area of a rectangular
prism depends on the length, width, and height.
The second term, 2ℓh, is the sum of the areas of the front and back faces.

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Example 6: Interpret an Equation
GEOMETRY Write a sentence for the formula for the
surface area of a rectangular prism
S= 2ℓw+ 2ℓh+ 2wh.
Then interpret the equation in the context of the situation.
From the equation, we see that the surface area of a rectangular
prism depends on the length, width, and height.
The third term, 2wh, is the sum of the areas of the left and right faces.
So, the surface area of the rectangular prism is the sum of
the areas of the faces

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Homework

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