Expressions and Equations Review

ScatterPlots

100

What is the direction of this scatterplot?

https://docs.google.com/presentation/d/1BwZrg_ubOuihk16MdvWelR8HRqOKdL3vwFqIUKwu5bA/preview?rm=minimal&slide=id.g357cd7772ba_0_0

Positive (y is increasing as x is increasing)

200

What are the four descriptors of a scatterplot?

DAILY DOUBLE (double points)

Form(linear vs non-linear), Direction, Association/Correlation, Outliers

Double Points

300

Describe this scatterplot: 

https://docs.google.com/presentation/d/1BwZrg_ubOuihk16MdvWelR8HRqOKdL3vwFqIUKwu5bA/preview?rm=minimal&slide=id.g357cd7772ba_0_7

Linear, positive, strong, 1 outlier

400

Describe this scatterplot.

https://docs.google.com/presentation/d/1BwZrg_ubOuihk16MdvWelR8HRqOKdL3vwFqIUKwu5bA/preview?rm=minimal&slide=id.g357cd7772ba_0_16

Non-linear, Poisitve, moderate, 0 outliers

500

Draw a scatterplot that is linear, negative, strong association, and with 1 outlier.

Answers will vary

Factoring/Distributing

100

Distribute and simplify 

-3(4x+6y)

-12x-18y

200

Factor this expression using GCF

20x+10y+5

GCF is 5 

5(4x+2y+1)

300

Distribute and simplify

-5(12x+3)+10

-60x-5

(don't forget to simplify -15+10)

400

Factor using GCF

45y-18x+27

9(5y-2x+3)

500

Factor in two different ways

32x+40y+16

Answers will vary. You cannot factor by 1

Solving Equations/Types of Solutions

100

Solve the equation and identify the solution type

5(m+3)=5m+1

No solution

200

Solve the equation and identify the solution type

-32+4k = 4(k-2)-16

infinite solutions

300

Solve the equation and identify the solution type

30+6p=7(p+6)-5

One solution, p=-7

400

Solve the equation and identify the solution type.

(3m+2)/4=-4m+10

One solution, m=2

500

Solve and identify the solution type 

4(d+3)² = 100

Two solutions, d=2 and d=-8

Pythagorean Theorem

100

What is the length of the hypotenuse in this triangle? In exact terms.

https://docs.google.com/presentation/d/1xsl8PB2jiN4rXFxe2Gn7kIw_eGxI0GflkTxKOglBTK0/preview?rm=minimal&slide=id.g357ceddd7ea_0_53

The length of the Hypotenuse is 5 miles

200

Simplify the square root of 88

2 sqrt 11

300

What is the length AB? In exact terms.

https://docs.google.com/presentation/d/1xsl8PB2jiN4rXFxe2Gn7kIw_eGxI0GflkTxKOglBTK0/preview?rm=minimal&slide=id.g357ceddd7ea_0_65

The length AB is 3 sort 6 miles

400

What is the Length AB? In exact terms.

https://docs.google.com/presentation/d/1xsl8PB2jiN4rXFxe2Gn7kIw_eGxI0GflkTxKOglBTK0/preview?rm=minimal&slide=id.g357ceddd7ea_0_79

Not a right triangle the hypotenuse should be the longest side, 9 is not the longest side

500

What is the length AB? In exact terms.

https://docs.google.com/presentation/d/1xsl8PB2jiN4rXFxe2Gn7kIw_eGxI0GflkTxKOglBTK0/preview?rm=minimal&slide=id.g357ceddd7ea_0_92

This triangle cannot be solved with pythagorean theorem because there is no right angle identified. 

Multiplying Polynomials

100

A rectangular park has the length of x+3 and a width of x-2 what is the total area of the park? 

Write your answer as a product of its dimensions equal to the sum of its parts. 

DAILY TRIPLE (triple points)

(x+3)(x+2)=x²+5x+6

Triple Points

200

A rectangular stage has a length of -4x+3 and a width of x-7 what is the total area? 

Write your answer as a product of its dimensions equal to the sum of its parts.

(-4x+3)(x-7)=-4x²+31x-21

300

A square garden has a length of 3y+8 what is the total area? 

Write your answer as a product of its dimensions equal to the sum of its parts.

(3y+8)(3y+8)=9y²+48y+64

400

A baker is designing rectangular cake with the dimensions 

Length: 4x+y-3

Width:2 x+5

Write your answer as a product of its dimensions equal to the sum of its parts

(4x+y-3)(2x+5)=8x²+2xy+14x+5y-15

500

A circular fan has a radius of 9y-2 what is the total area? 

Leave in terms of pi

pi(81y²-36y+4)