Reporting Category 2 Reteach

EOC Review

Reporting Category 2 Reteach

Complete this tutorial before taking the assessment.

Finding slope (rate of change) from tables, graphs, equations

Answer the questions that follow. There are video links if you need to refresh your memory!

Multiple Choice

What is the slope of the line that pass through the points (23, 9) and (-32, 14)?

• $-\frac{1}{11}$

• $\frac{5}{9}$

• -11

• $\frac{9}{5}$

Multiple Choice

Find the slope of the line that contains the points (-4, 1) and (1, 4).

• 0

• $\frac{5}{3}$

• undefined

• $\frac{3}{5}$

Multiple Choice

What is the slope of the line identified by

 $y+3=2\left(x-3\right)?$  

• -3

• 2

• 3

•  $\frac{2}{3}$  

Multiple Choice

Which table shows the same rate of change as the equation

 $y=2-\frac{4}{7}x?$  

Attributes of Linear Functions

Answer the questions that follow. There are video links if you need to refresh your memory!

Fill in the Blank

A line is graphed on a coordinate plane. Two of the points on the line are (-7, -6) and (7, 1). What is the y-intercept of the line? Write the number only (not an ordered pair.)

Multiple Choice

Which graph represents

 $-2x+3y=-24?$  

Multiple Choice

Which graph shows a line with a zero of 2? (hint: remember the zero of a function is the x-intercept)

Multiple Choice

What is the zero of

 $q\left(x\right)=\frac{9}{2}x+18?$  

• -4

• 4

• 18

• -18

Multiple Choice

Two functions are given below.

 $a\left(x\right)=\frac{8}{3}x-\frac{1}{6}$  

 $b\left(x\right)=\frac{3}{8}x-\frac{1}{6}$  
How does the graph of a compare with the graph of b?

• The graph of a has a different y-intercept of than the graph of b.

• The graph of a is less steep than the graph of b.

• The graph of a is steeper than the graph of b.

• The graph of a is perpendicular to the graph of b.

Fill in the Blank

Multiple Choice

The graph shows the relationship between the number of gallons of fuel remaining in a taxi and the number of hours the taxi has been driven.

What does the x-intercept of the graph represent?

• The number of hours the taxi was driven before running out of fuel

• The number of hours the taxi was driven before any driving occurred

• The number of gallons of fuel the taxi can hold

• The number of hours required to use one gallon of fuel

Multiple Choice

The graph shows the relationship between the number of flyers distributed at a conference and the number of sessions presented.

What does the y-intercept of the graph represent?

• The number of flyers distributed per session

• The number of sessions presented per flyer

• The total number of flyers before the conference began

• The total number of sessions presented

Graphing Linear Inequalities

Answer the questions that follow. There are video links if you need to refresh your memory!

Multiple Choice

Which ordered pair is in the solution set of

 $0.25x-2y\ge8?$  

• (-4, 0)

• (7, -3)

• (0, -5)

• (-3, 7)

Multiple Choice

Which graph represents the solution set of

 $y<-\frac{4}{3}x+1?$  
(if watching the video, start it at 2:10)

Multiple Choice

Which graph represents the solution set of

 $5x-4y<105?$  

Multiple Choice

Which coordinate pair is in the solution set for

 $y\ge3-x?$  

• (0, -3)

• (-3, 0)

• (-1, 5)

• (-5, 1)

Linear Transformations

Answer the questions that follow. There are video links if you need to refresh your memory!

Multiple Choice

Linear function f(x) = x is graphed on a coordinate plane. If the function of the new line is g(x) = (x + 3) + 1, which statement between these two graphs is true?

• The graph of the new line has been translated right 3 units and translated up 1 unit from the original line.

• The graph of the new line has been translated left 3 units and translated up 1 unit from the original line.

• The graph of the new line has been translated right 3 units and translated down 1 unit from the original line.

• The graph of the new line has been translated left 3 units and translated down 1 unit from the original line.

Multiple Choice

Linear function f(x) = x is graphed on a coordinate plane. The graph of a new line is formed by changing the slope of the original line to

 $\frac{5}{4}$  and the y-intercept to -1. Which statement about the relationship between these two graphs is true?

• The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated down.

• The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated up.

• The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated up.

• The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated down.

Systems of Equations

Answer the questions that follow. There are video links if you need to refresh your memory!

Multiple Choice

Which graph can be used to find the solution to the system of equations below?

 $x+y=-1$  
 $-5y=2x-10$  

Multiple Choice

Which of the following graphs best represents a system of equations that has no solution?

Linear Regression

Answer the questions that follow.

Multiple Choice

The scatterplot shows the monthly high temperatures for Dallas, Texas in degrees Fahrenheit over a 12-month period. Which function best models the data from Month 7 to Month 12?

• 
  

  $y=-6.65x+146$
  

• $y=-8.35x+105$

• $y=6x+140$

• $y=8.75x+145$

Multiple Choice

The population of Katy, Texas, from the year 2010 through 2015 is shown in the graph. If the trend continued, what was the expected population of Katy in 2018?

• 18,300

• 15,800

• 21,660

• 17,460

Multiple Choice

The scatterplot displays the results of a survey taken in Mr. Frederick's classes which shows the relationship between the number of unexcused absences a student has from school and the student's overall GPA.

Based on the scatterplot, what is the best prediction of a student's GPA if the student has 15 unexcused absences?

• 2.5

• 3.5

• 1.5

• 3.0