Unit 3 Review: Whole Class Practice

Unit 3 Review

Slope
Rate of Change

Multiple Choice

Find the slope of the line.

• 3/2
• 2/3
• -3/2
• -2/3

Multiple Choice

Which statement below accurately represents the graph?

• $100 is earned for each hour worked
• $100 is earned for every 2 hours worked
• $500 is earned for every 8 hours worked
• $200 is earned for every 3 hours worked

Slope from two points

​Example1:
What is the slope of the line that passes through the points (3, -1) and (5, 4)?

​Example 2:
What is the slope of the line that passes through the point (2,4) and the origin?

Multiple Choice

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

• 2/11
• 13/2
• 3/10
• 11/2

Math Response

What is the slope of the line that passes through the point (3,6) and the origin?

Type answer here

Correct Answer: 2

Deg^°

Rad

​Key features of linear functions

Equation​
y= mx +b

Multiple Choice

What is the y-intercept of the line?

• (0, 2)
• (0, -2)
• (0, 1)
• (0, -1)

Multiple Choice

What is the root of the following function:

$$f\left(x\right)=2x+6$$  

• 0

• -3

• 3

• 6

Multiple Choice

Find the slope-intercept equation

• y = 3x + 5

• y = -3x + 5

• y = ^-1/₃ x + 5

• y = ^-1/₃ x - 5

y = 3x - 5


m= b =

​

​Graphing Linear Functions

​Graphing Linear Functions

Multiple Choice

What is the equation of the graph?

• $$y=-\frac{3}{2}x+3$$

• $$y=3x-\frac{3}{2}$$

• $$y=\frac{3}{2}x+3$$

• $$y=-3x-\frac{3}{2}$$

Graphing

Graph the function with a zero of 3 and a slope of $$-\frac{2}{3}$$

Graphing

Graph the equation y= 1/2x - 1

Graph the equation and find the key features of

3x-2y=12



m= b= zero=

Standard form
Ax+by = C

Multiple Choice

Find the graph of the standard form equation: 3x + 4y = -8

Drag and Drop

Given the equation 7x+8y=24. The slope is ​

Placeholder

and the y-intercept is​

Placeholder

Drag these tiles and drop them in the correct blank above

3

​Equation is x=

Slope =

Vertical lines

​Equation is y=

Slope=

Horizontal Lines

The equation of the line is perpendicular to the y -axis and passes the point (0,-2)

Equation:

Slope:

​​Example 1:

The equation of the line is _________ to the y- axis.

The equation of the line is ______

The slope of the line is ____________

Example 2:

Dropdown

The equation of the line is ​

Select answer

, the slope of the line is ​

Select answer

and is parallel to the ​

Select answer

Dropdown

What is the equation and slope of the line that is parallel to the x-axis and crosses the point (4,8)

Equation:​

Select answer

​ Slope:​

Select answer

​Graphing Linear Inequalities

​m=

b =

​Which point belong to the solution set? (7,-3) (-5,5) (-1,-8)

Multiple Choice

Select the correct graph for each inequality.

• A
• B
• C
• _D

Multiple Choice

Which point below is NOT part of the solution set?

• (0, 0)
• (5, 1)
• (-1, -3)
• (20, -5)

Multiple Choice

Which of the following inequalities matches the given graph?

• 5x - 2y ≥ -2

• 2x - 5y ≤ -10

• 2x - 5y ≥ -10

• 2x + 5y ≥ 10

​Linear Transformations

Multiple Choice

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Multiple Choice

How did the equation shift from the parent function? y = f(x + 7)

• Up 7
• Down 7
• Left 7
• Right 7

Multiple Choice

How did the equation shift from the parent function? y=(x-3)+5

• 3 right, 5 up
• 3 left, 5 up
• 3 Down
• Moved 5 right

Domain: Left to Right

​​Range: Bottom to top

Domain: Left to Right

​​Range: Bottom to top

Multiple Choice

What is the Domain?

• -3 ≤ x < 5
• -3 ≤ y < 5
• -8 ≤ x < 5
• -8 ≤ y < 5

Multiple Choice

What is the Range of this linear function?

• -6 ≤ y ≤ 6, integers

• 0 ≤ y ≤ 6, real numbers

• 0 ≤ y ≤ 6, integers

• 4 ≤ y ≤ 3, real numbers

Dropdown

The range of the function is ​

Select answer

and ​

Select answer