8.3 Mini Lesson: Writing Equations

Mini Lesson:

8.3 Writing Equations

Multiple Choice

DIFFERENCE refers to....

• addition

• subtraction

• multiplication 

• division

Multiple Choice

QUOTIENT refers to....

• addition

• subtraction

• multiplication 

• division

Multiple Choice

PRODUCT refers to....

• addition

• subtraction

• multiplication 

• division

Multiple Choice

SUM refers to....

• addition

• subtraction

• multiplication 

• division

​Title your page as shown. Transfer Examples 1-5

into your notes.

​Lesson Goal:

​Translate an English sentence to a math sentence (equation)

​continue >>>>>

​In this lesson, you will need to write the " answers* " plus read the explanations!

*translations

​ _ an unknown number will be represented by a variable (I often use x or n, but any letter works!)

_ "is" means equals (eg. two plus three is five: 2 + 3 = 5)

_ "increased" implies addition

​you already know:

​_ an unknown number will be represented by a variable (I often use x or n, but any letter works!)

_ "is" means equals

​

​you already know:

​_ an unknown number will be represented by a variable (I often use x or n, but any letter works!)

_ "is" means equals

​

_ "twice a number" means 2 times the number!

​

​_ "5 less than" implies that 5 is being subtracted from something ( in this case, the something is a product.) Recall: subtraction is not commutative! So 5 - 2n would be incorrect as that would represent the difference between five and twice a number INSTEAD of the difference between twice a number and five (which is what is being asked here.)

​you already know:

​_ an unknown number will be represented by a variable (I often use x or n, but any letter works!)

_ "is" means equals

​

​you already know:

​_ an unknown number will be represented by a variable (I often use x or n, but any letter works!)

_ "is" means equals

​

​time to

​You do not have to write the practice exercises in your notebook.

​Of course, you can if you want to/ if you feel like you need more written examples.

Multiple Choice

fifteen more than twice a number is -23. 

• $$\frac{1}{2}n+15\ =\ -23$$  

• $$2n+15=-23$$  

• $$2n+50=-23$$  

• $$2(15+n)=-23$$  

Multiple Choice

eleven less than 5 times a number is 24.

• $$\frac{1}{2}n+15\ =\ -23$$  

• $$11\ =\ 5x-24$$  

• $$5x-11=24$$  

• $$5(x-11)=24$$  

Multiple Choice

twice the sum of a number and 18 is 47. 

• $$\frac{1}{2}\left(x+18\right)\ =\ 47$$  

• $$2\left(47\right)=x+18$$  

• $$2\left(x+18\right)=47$$  

• $$2x+18=47$$  

Multiple Choice

245 is 4 more than the product of 5 and a number squared

• $$245\ =\ 5x^2+4$$  

• $$245=5^2x+\ 4$$  

• $$5x-11=24$$  

• $$245+4=5^2x$$  

Multiple Choice

19 is the same as a number reduced by 4.5

• $$19\ =\ t+4.5$$  

• $$19\ =\ 4.5\ -t\$$  

• $$19-t=4.5$$  

• $$19=t-4.5$$