writing equations. turning words into equations similar to turning words into expressions the word...
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![Page 1: Writing Equations. Turning Words into Equations Similar to turning words into expressions The word is tells you where your equal sign goes Write each](https://reader035.vdocuments.us/reader035/viewer/2022072010/56649db55503460f94aa6bf7/html5/thumbnails/1.jpg)
Writing Equations
![Page 2: Writing Equations. Turning Words into Equations Similar to turning words into expressions The word is tells you where your equal sign goes Write each](https://reader035.vdocuments.us/reader035/viewer/2022072010/56649db55503460f94aa6bf7/html5/thumbnails/2.jpg)
Turning Words into Equations Similar to turning words into expressionsThe word is tells you where your equal sign goes
Write each sentence as an algebraic equation:
A number increased by 9 is 15
n + 9 = 15
Twice a number is 18
2n = 18
Four less than a number is 20
n – 4 = 20
A number divided by 6 is 8
n/6 = 8
![Page 3: Writing Equations. Turning Words into Equations Similar to turning words into expressions The word is tells you where your equal sign goes Write each](https://reader035.vdocuments.us/reader035/viewer/2022072010/56649db55503460f94aa6bf7/html5/thumbnails/3.jpg)
Twice a number, decreased by twenty-nine, is seven
2a – 29 = 7
Thirty-two is twice a number decreased by eight
32 = 2b - 8
Twelve is sixteen less than four times a number
12 = 4p - 16
![Page 4: Writing Equations. Turning Words into Equations Similar to turning words into expressions The word is tells you where your equal sign goes Write each](https://reader035.vdocuments.us/reader035/viewer/2022072010/56649db55503460f94aa6bf7/html5/thumbnails/4.jpg)
Writing Equations for Word Problems
Example:
Bhavin’s age 7 years from now will be 20.We don’t know Bhavin’s current ageWe do know in 7 years she will be 20
We should pick a variable to represent the unknown value. In this case, it’s Bhavin’s age. Let’s let a represent Bhavin’s age
So, the equation to figure out Bhavin’s age will be:
a+7 = 20
![Page 5: Writing Equations. Turning Words into Equations Similar to turning words into expressions The word is tells you where your equal sign goes Write each](https://reader035.vdocuments.us/reader035/viewer/2022072010/56649db55503460f94aa6bf7/html5/thumbnails/5.jpg)
We use equations to solve for the unknown or variable. This means, we want to figure out what the variable is.
Bhavin’s age 7 years from now will be 20. So, how old is she now?
Let a represent how old she is now
a + 7 = 20
a + 7 – 7 = 20 – 7
a = 13
Solution: Bhavin’s current age is 13
![Page 6: Writing Equations. Turning Words into Equations Similar to turning words into expressions The word is tells you where your equal sign goes Write each](https://reader035.vdocuments.us/reader035/viewer/2022072010/56649db55503460f94aa6bf7/html5/thumbnails/6.jpg)
How could we CHECK to see if our solution is right?
Look back:
Let a represent how old she is now
a + 7 = 20
a + 7 – 7 = 20 – 7
a = 13
Solution: Bhavin’s current age is 13
Check:
When a= 13, a +7 = 20
LS RS
a + 7 20
= (13) + 7
= 20
![Page 7: Writing Equations. Turning Words into Equations Similar to turning words into expressions The word is tells you where your equal sign goes Write each](https://reader035.vdocuments.us/reader035/viewer/2022072010/56649db55503460f94aa6bf7/html5/thumbnails/7.jpg)
Eleni is x years old. In thirteen years she will be twenty-four years old.
x + 13 = 24
Each piece of candy costs 25 cents. The price of h pieces of candy is $2.00.
.25h = 2.00
Suzanne made a withdrawal of d dollars from her savings account. Her old balance was $350, and her new balance is $280.
350 – d = 280
A large pizza pie with 15 slices is shared among a group of p students so that each student’s share is 3 slices.
15/p = 3