Operations involving Integers

Operations involving Integers

2nd Synchronous Session

March 4, 2021

11:00. -12:00 PM

Learning Objective

• Solve real-world problems involving linear equations

Multiple Choice

• 55

• 65

• 75

• 85

Multiple Choice

• 1798

• 2028

• 2748

• 3025

Operations involving Integers

Performing operations involving integers is an important skill that we need to know. This is a fundamental skill that we need to MASTER.

Try to answer this:

 $-1\cdot\left(1-\left(-1\right)\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$  

Fill in the Blank

 $-1\cdot\left(1-\left(-1\right)\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$  

 $-1\cdot\left(1-\left(-1\right)\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$  

 $-1\cdot\left(1-\left(-1\right)\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$  

 $-1\cdot\left(1+1\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$  

 $-1\cdot\left(1-\left(-1\right)\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$  

 $-1\cdot\left(1+1\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$  

 $-1\cdot\left(1-\left(-1\right)\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$  

 $-1\cdot\left(1+1\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$ 
 $-1\cdot\left(2\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$   

 $-1\cdot\left(1-\left(-1\right)\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$  

 $-1\cdot\left(1+1\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$ 
 $-1\cdot\left(2\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$   

 $-1\cdot4\div1\cdot\left(-1\right)-1+\left(-1\right)$  

 $-1\cdot\left(1-\left(-1\right)\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$  

 $-1\cdot\left(1+1\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$ 
 $-1\cdot\left(2\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$   

 $-1\cdot4\div1\cdot\left(-1\right)-1+\left(-1\right)$  
 $-4\div1\cdot\left(-1\right)-1+\left(-1\right)$  

 $-1\cdot\left(1-\left(-1\right)\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$  

 $-1\cdot\left(1+1\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$ 
 $-1\cdot\left(2\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$   

 $-1\cdot4\div1\cdot\left(-1\right)-1+\left(-1\right)$  
 $-4\div1\cdot\left(-1\right)-1+\left(-1\right)$  
 $-4\cdot\left(-1\right)-1+\left(-1\right)$  

 $-1\cdot\left(1-\left(-1\right)\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$  

 $-1\cdot\left(1+1\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$ 
 $-1\cdot\left(2\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$   

 $-1\cdot4\div1\cdot\left(-1\right)-1+\left(-1\right)$  
 $-4\div1\cdot\left(-1\right)-1+\left(-1\right)$  
 $-4\cdot\left(-1\right)-1+\left(-1\right)$  
 $4-1+\left(-1\right)$  

 $-1\cdot\left(1-\left(-1\right)\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$  

 $-1\cdot\left(1+1\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$ 
 $-1\cdot\left(2\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$   

 $-1\cdot4\div1\cdot\left(-1\right)-1+\left(-1\right)$  
 $-4\div1\cdot\left(-1\right)-1+\left(-1\right)$  
 $-4\cdot\left(-1\right)-1+\left(-1\right)$  
 $4-1+\left(-1\right)$  
 $3+\left(-1\right)$  

 $-1\cdot\left(1-\left(-1\right)\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$  

 $-1\cdot\left(1+1\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$ 
 $-1\cdot\left(2\right)^2\div1\cdot\left(-1\right)-1+\left(-1\right)^3$   

 $-1\cdot4\div1\cdot\left(-1\right)-1+\left(-1\right)$  
 $-4\div1\cdot\left(-1\right)-1+\left(-1\right)$  
 $-4\cdot\left(-1\right)-1+\left(-1\right)$  
 $4-1+\left(-1\right)$  
 $3+\left(-1\right)$  
 $2$  

EQUATION

EQUATION

shows that two mathematical expressions are equal

EQUATION

shows that two mathematical expressions are equal

"equals" or "is equal to" or "is"

Identify which of the following are equal with one another.

Multiple Choice

2 + 5 = 7

• two plus seven is equal to five

• two plus five equals seven

• five added to seven equals two

• seven plus five is equal to two

Multiple Choice

4b + 8 = -8

• four plus eight is equal to negative eight

• four plus eight equals eight

• four b plus eight is equal to eight

• four b plus eight equals negative eight

Steps in solving equations:

1. Combine similar/like terms on one side.

2. Isolate the variable.

3. Simplify the expression.

4. Check your solution.

Simplify

Fill in the Blank

 $2-4-3$  

Fill in the Blank

 $x+5-3x$  

Fill in the Blank

 $a-8+a$  

Solve for the variable

Multiple Choice

 $m-4+3m=16$  

•  $m=3$  

•  $m=-3$  

•  $m=-5$  

•  $m=5$  

 $m-4+3m=16$  

 $m-4+3m=16$  

 $m+3m-4=16$  

 $m-4+3m=16$  

 $m+3m-4=16$  

 $4m-4=16$  

 $m-4+3m=16$  

 $m+3m-4=16$  

 $4m-4=16$  
 $4m=16+4$  

 $m-4+3m=16$  

 $m+3m-4=16$  

 $4m-4=16$  
 $4m=16+4$ 
 $4m=20$   

 $m-4+3m=16$  

 $m+3m-4=16$  

 $4m-4=16$  
 $4m=16+4$ 
 $4m=20$   
 $\frac{4m}{4}=\frac{20}{4}$  

 $m-4+3m=16$  

 $m+3m-4=16$  

 $4m-4=16$  
 $4m=16+4$ 
 $4m=20$   
 $\frac{4m}{4}=\frac{20}{4}$  
 $m=5$  

Let's translate!

Multiple Select

What is "Annyeonghaseyo" in English?

• Hello

• Hi

• Bye

Multiple Select

What is "Adios" in English?

• Hi

• Hello

• Bye

Fill in the Blank

What is the algebraic translation of "the sum of a and b is two" ?

(no space)

Multiple Choice

Which is the algebraic translation of "Half the sum of c and d is twice of e" ?

• 
  

  $2c+d=2e$
  

• $\frac{1}{2}c+d=2e$

• $2\left(c+d\right)=2e$

• $\frac{1}{2}\left(c+d\right)=2e$

Solving Word Problems

Fill in the Blank

JB is 14 years old now. Represent his age 7 years from now.

Fill in the Blank

JB is 14 years old now. Represent his age 12 years ago.

Fill in the Blank

JB is 14 years old now. Represent his age in 5 years.

Fill in the Blank

JB is 14 years old now. Represent his age in 6 years ago.

Solving Word Problems

Solving Word Problems

Read and review carefully

Week 2: Learner Guide

Open Ended

Questions/Concerns

Poll

How well did you understand our lesson for today?

• I can teach someone else! 🤩

• I get it! 😍

• I understood it, but still need some help. 😕

• Badly need help. 😔

• I do not understand at all. 😣

Open Ended

What would you like us to do for the next session?

"Understanding is the key to true knowledge"

- Liam Williams