T6 Review for Quiz D

T6 Review for Quiz D

All practice problems can be found in your math workbook (part 2). These questions are very similar to what you will see on the QUIZ!

Make sure to review Ms. Dunn's work to prepare for your QUIZ this week!

pg. 319 --> The next 3 questions are these!

Multiple Choice

 Write an equivalent expression that uses only addition. $20-9+8-7$ 

•  $20+9+8+7$  
  

•  $20+-9+8+7$  
  

•  $20+-9+8+-7$  
  

Adding & Subtracting

Subtracting a number is the SAME as adding its negative.

Subtracting a negative is the SAME as adding a positive.

Multiple Choice

 Write an equivalent expression that uses only addition. $4x-7y-5z+6$ 

•  $4x+-7y+5z+6$  
  

•  $4x+-7y+-5z+6$  
  

•  $4x+7y+5z+6$  
  

Multiple Choice

 Write an equivalent expression that uses only addition. $-3x-8y-4-\frac{8}{7}z$ 

•  $-3x+-8y+-4+-\frac{8}{7}z$  
  

•  $-3x+8y+-4+-\frac{8}{7}z$ 

•  $-3x+8y+4+\frac{8}{7}z$  

Need some extra help with Lesson 18?

Go to the following link

https://vimeo.com/442786762

pg. 324. The next 2 questions are these!

Multiple Choice

Expand to write an equivalent expression: $-\frac{1}{4}\left(-8x+12y\right)$  

•  $-2x-3y$  

•  $4x-6y$  

•  $-4y-3y$  

•  $2x-3y$  

Check your work!

Multiple Select

Factor to write an equivalent expression: $36a-16$  

•  $4\left(9a-4\right)$  

•  $4\left(9a+4\right)$  

•  $2\left(18a+8\right)$  

•  $2\left(18a-8\right)$  

Check your work!

pg. 324 Next 3 questions are these!

Open Ended

Lin missed math class on the day they worked on expanding and factoring. Kiran is helping Lin catch up.

Lin understands that expanding is using the distributive property, but she doesn’t understand what factoring is or why it works. How can Kiran explain factoring to Lin?

Answers vary. Sample response:

• Factoring is the distributive property in the other direction.

• Instead of expanding a product to a sum of terms, factoring takes a sum of terms and makes it into a product by looking for common factors in the terms that can can be written outside the parentheses.

Open Ended

Lin missed math class on the day they worked on expanding and factoring. Kiran is helping Lin catch up.

Lin asks Kiran how the diagrams with boxes help with factoring. What should Kiran tell Lin about the boxes?

Answers vary. Sample response:

• The expression in each box is the product of {the expression to the left of the big rectangle} and {the expression above the box}, just as the area of a rectangle is length times width.

• Together, the boxes form a long rectangle, so it is still true that {the expression to the left of the box} times {the expression above the long rectangle} equals the sum of all the terms in the boxes.

• If you want to factor an expression, look for a common factor in each box, and place it to the left of the rectangle.

• To decide what to write above each box, think, “What times that common factor equals what is in the box?”

Open Ended

Lin missed math class on the day they worked on expanding and factoring. Kiran is helping Lin catch up.

Lin asks Kiran to help her factor the expression -4xy−12xz+20xw. How can Kiran use this example to Lin understand factoring?

Multiple Choice

 Factor $-4xy-12xz+20xw$ 

•  $4\left(-y-3z+5w\right)$  

•  $4x\left(-y-3z+5w\right)$  

•  $3\left(-y-3z+5w\right)$  

•  $4\left(y+3z+5w\right)$  

pg. 324 Next question is this one!

Multiple Choice

Complete the equation with numbers that makes the expression on the right side of the equal sign equivalent to the expression on the left side. $75a+25b=⎯(⎯a+b)$  

•  $25\left(3+b\right)$  

•  $25\left(3a-b\right)$  

•  $25\left(3a+b\right)$  

Need some extra help with Lesson 19?

Go to the following link

https://vimeo.com/442786850

Need some extra help with Lesson 20?

Go to the following link

https://vimeo.com/443115616

pg. 336 Next question is this.

Multiple Select

Noah says that 9x−2x+4x is equivalent to 3x, because the subtraction sign tells us to subtract everything that comes after 9x.

Elena says that 9x−2x+4x is equivalent to 11x, because the subtraction only applies to 2x.

Do you agree with either of them? Explain your reasoning.

• I agree with Noah

• I agree with Elena

• I agree with both

• I agree with neither

pg. 336 Next question is this!

Need some extra help with Lesson 21?

Go to the following link

https://vimeo.com/443115683

pg. 341 The next question is this one!

Multiple Choice

2. A: Are the following expressions equivalent?

 $3x−2x+0.5x$  & 
 $1.5x$  

• Yes, they are equivalent (equal)

• No, they are not equivalent (not equal)

Multiple Choice

2. B: Are the following expressions equivalent?

 $3(x+4)−2(x+4)$  & 
 $x+3$  

• Yes, they are equivalent (equal)

• No, they are not equivalent (not equal)

Multiple Choice

2. C:  Are the following expressions equivalent?

 $6(x+4)−2(x+5)$  & 
 $2(2x+7)$  

• Yes, they are equivalent (equal)

• No, they are not equivalent (not equal)

Multiple Choice

2. C:  Are the following expressions equivalent?

 $3(x+4)−2(x+4)+0.5(x+4)$  & 
 $1.5$  

• Yes, they are equivalent (equal)

• No, they are not equivalent (not equal)

Need some extra help with Lesson 22?

Go to the following link

https://vimeo.com/443115770

You are ALL DONE!

• NOW WHAT?

• Do you have any questions for Ms. Dunn?

• Do you need more practice before our QUIZ?

• Are there any videos to go back and watch?