Genially - Q1 NWT BOMB REVIEW

Linear Function Review

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Equations of Linear Functions

Horizontal & Vertical Lines

Slope of a Linear Function

Linear Function Basics

Converting Between Equations

The graph of a linear function is shown on the grid. What value best represents the y-intercept of the line?

Linear Function Basics

QUESTION 01

-2

-3/2

2/3

Linear Function Basics

The graph of a linear function, f, is shown. What is the zero of f?

QUESTION 02

-3

-6

The graph of a linear function is shown on the grid.What are the x-intercept and the y-intercept of the line?

Linear Function Basics

QUESTION 03

x-intercept: (8, 0) y-intercept (0, 2)

x-intercept: (-2, 0) y-intercept: (0, 4)

x-intercept: (4, 0) y-intercept: (0, 8)

x-intercept: (-2, 0) y-intercept: (0, 8)

Linear Function Basics

Which graph best represents y = -4(x + 3) - 2

QUESTION 04

Linear function k has a zero of -2 and a y-intercept of 6. Which graph best represents k?

Linear Function Basics

QUESTION 05

The graph of linear function g passes through the points (-7, -4) and (7, 6) as shown. What are the slope and y-intercept of the graph of g?

Linear Function Basics

QUESTION 06

The slope is 5/7 and the y-intercept is -1

The slope is 5/7 and the y-intercept is 1

The slope is 7/5 and the y-intercept is 1

The slope is 7/5 and the y-intercept is -1

The graph models the linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan. Which statement describes the x-intercept of the graph?

Linear Function Basics

QUESTION 07

The x-intercept is 60, which represents the initial balance in dollars of the loan.

The x-intercept is 27,000, which represents the initial balance in dollars of the loan.

The x-intercept is 27,000, which represents the number of monthly payments needed to repay the loan.

The x-intercept is 60, which represents the number of monthly payments needed to repay the loan

Linear Function Basics

Which graph best represents -5y = -6x + 15?

QUESTION 08

The graph of linear function f passes through the point (1, -9) and has slope of -3. What is the zero of f?

Linear Function Basics

QUESTION 09

-6

-2

Great Job!!! You completed the 'Linear Function Basics' Review

Linear Function Basics

The graph of linear function k passes through the points (-7, 0) and (1, 8)

QUESTION 10

The slope of the graph of k is -4/3

The graph of k passes through the point (-1, -8)

The x-intercept of the graph of k is -7

The zero of k is 7

A line contains the points (-2, -2) and (4, 2). What is the slope of the line?

Slope of a Linear Function

QUESTION 01

2/3

-2/3

-3/2

3/2

The table of values shows a linear relationship between x and y. What is the slope of the line represented by the table of values?

Slope of a Linear Function

QUESTION 02

8/5

-8/5

5/8

-5/8

Slope of a Linear Function

What is the slope of the graph of y = 12x - 19?

QUESTION 03

19/12

-19

12

-12/19

Slope of a Linear Function

What is the slope of the line represented by 5x - 12y = 24?

QUESTION 04

-12

-2

5/12

-24/5

Slope of a Linear Function

The graph of a line is represented by the equation 5x - 8y = 40. Which value represents the rate of change of y with respect to x for the equation?

QUESTION 05

5/8

-8/5

8/5

-5/8

The graph of a line is represented by the equation 5x - 8y = 40. Which value represents the rate of change of y with respect to x for the equation?Complete the statement that describes the rate of change of the altitude of the airplane with respect to time.

Slope of a Linear Function

QUESTION 06

Does the altitude of the airplane increase or decrease?

Is the rate of change 2000, 3000, 5250, or 8250?

Increase, 2000

Increase, 5250

Decrease, 2000

Decrease, 5250

Increase, 3000

Increase, 8250

Decrease, 3000

Decrease, 8250

The water level in a tank is changing at a constant rate. The graph shows the relationship between time in hours, x, and the water level in meters, y. Complete the statement that describes the rate of change of the water level with respect to time.

Slope of a Linear Function

Does the water level increase or decrease?

Is the rate of change 0.25, 1, 4, or unknown?

QUESTION 07

Increase, 0.25

Increase, Unknown

Decrease, 0.25

Decrease, Unknown

Increase, 1

Increase, 4

Decrease, 1

Decrease, 4

A construction worker built steps up to a home. The table shows the linear relationship between the height off the ground in inches and the number of steps. What is the rate of change of height off the ground with respect to the number of steps?

Slope of a Linear Function

QUESTION 08

1/7 in. per step

14 in. per step

1/14 in. per step

7 in. per step

A worker is packing items in boxes. The table shows the linear relationship between the number of items the worker has packed in boxes after different amounts of time.

Slope of a Linear Function

Which statement describes the rate of change of the number of items the worker packed in boxes with respect to the number of minutes the worker has been packing items in boxes?

QUESTION 09

The worker packed 8 items in boxes per minute

The worker packed 15 items in boxes per minute.

The worker packed 37 items in boxes per minute

The worker packed 4 items in boxes per minute

Great Job!!! You completed the 'Slope of Linear Function ' Review

The graph of a line is shown on the grid. The coordinates of both points indicated on the of the line are integers. What is the rate of change of y with respect to x for this line?

Slope of a Linear Function

QUESTION 10

-6/5

5/2

-5/6

2/3

A line is graphed on a coordinate grid. Which statement about the line is true?

Horizontal and Vertical Lines

QUESTION 01

The equation of the line is y = -4, and the slope is undefined

The equation of the line is x = -4, and the slope is undefined

The equation of the line is y = -4 and the slope is equal to -4.

The equation of the line is x = -4, and the slope is equal to -4

Horizontal and Vertical Lines

Which equation best represents the line shown on the grid?

QUESTION 02

x = 0

y = 0

x = -6

y = -6

Which statement best represents the equation of the line shown on the grid and its relationship to the x-axis?

Horizontal and Vertical Lines

QUESTION 03

The equation of the line is x = 2.5 and the line is parallel to the x-axis

The equation of the line is y = 2.5, and the line is perpendicular to the x-axis.

The equation of the line is x = 2.5 and the line is perpendicular to the x-axis

The equation of the line is y = 2.5 and the line is parallel to the x-axis

Horizontal and Vertical Lines

What are the equation and slope of the line shown on the grid?

QUESTION 04

x = 6slope is undefined

y = 6slope is undefined

x = 6slope is zero

y = 6 slope is zero

Great Job!!! You completed the 'Horizontal & Vertical Lines' Review

What is the equation of the line that passes through the point (-2, 7) and has a slope of zero?

Horizontal and Vertical Lines

QUESTION 05

x = -2

x = 7

y = 7

y = -2

Two points are plotted on the grid. Which equation is slope-intercept form best represents the line that passes through these two points?

Equations of Linear Functions

QUESTION 01

y = -2/3x - 10/3

y = -10/3x - 2/3

y = -2/3x - 11/3

y = -11/3x - 2/3

What is the equation in slope-intercept form of the line that passes through the points (-26, -11) and (39, 34)?

Equations of Linear Functions

QUESTION 02

y = 9/13x + 7

y = 9/13x - 7

y = -9/13x + 7

y = -9/13x - 7

The graph of a linear function is shown. Which function best represents the relationship shown in the graph?

Equations of Linear Functions

QUESTION 03

y = -5/3x - 5

y = -5/3x - 3

y = -3/5x - 5

y = -3/5x - 3

The total cost, y, for x tickets to a concert includes a flat fee for processing and a cost per ticket. One customer purchased 4 tickets for a total cost of $160. Another customer purchased 8 tickets for a total cost of $300. Which linear equation represents the total cost in dollars, y, for x tickets?

Equations of Linear Functions

QUESTION 04

y = 40x

y = 37.5x

y = 20x + 35

y = 35x + 20

The table represents some points on the graph of a linear function. Which function represents this relationship?

Equations of Linear Functions

QUESTION 05

y = -2/3x - 9

y = -2/3x - 1

y = -3/2x + 4

y = -3/2x - 14

Printer ink cost $18.99 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $7.95, no matter the number of cartridges purchased in a single order. Which linear function models the total cost, t, for a single order of c cartridges?

Equations of Linear Functions

QUESTION 06

c = 18.99t + 7.95

c = 26.94t

t = 26.94c

t = 18.99c + 7.95

The graph of a linear function is shown on the grid. Which equation is best represented by this graph?

Equations of Linear Functions

QUESTION 07

y + 2 = 7/5(x + 7)

y - 2 = 5/7(x - 7)

y + 2 = 5/7(x + 7)

y - 2 = 7/5(x - 7)

Great Job!!! You completed the 'Equations of Linear Functions' Review

At a restaurant jars of tomato sauce are stored in boxes in the pantry. Each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes. Which function shows the relationship between y, the total number of jars of tomato sauce remaining in the pantry, and x, the number of boxes in the pantry?

Equations of Linear Functions

QUESTION 08

y = 8x

y = 8x + 6

y = 8x - 2

y = 6x

The graph of f(x) = x is transformed to create the graph of g(x) = 2f(x) + 3. Complete the statement to compare the graphs of f and g.

Transformations of Linear Functions

The graph of g(x) has a y-intercept that is:

• greater than
• less than

the graph of f(x)

The graph of g(x) is

• more steep than
• less steep than

the graph of f(x)

QUESTION 01

• g(x) is less steep than f(x)
• the y-int of g(x) is greater than the y-int of f(x)

• g(x) is more steep than f(x)
• the y-int of g(x) is greater than the y-int of f(x)

• g(x) is more steep than f(x)
• the y-int of g(x) is less than the y-int of f(x)

• g(x) is less steep than f(x)
• the y-int of g(x) is less than the y-int of f(x)

The graph of the function f(x) = x is transformed to form function g(x) such that g(x) = 3f(x). Which graph represents f and g?

Transformations of Linear Functions

QUESTION 02

The graph of linear function h is shown on the grid.Given f(x) = x and h(x) = af(x), what is the value of a?

Transformations of Linear Functions

QUESTION 03

a = -4/5

a = -5/4

a = 4/5

a = 5/4

The graphs of linear functions f and g are shown on the grid. Which function is best represented by the graph of g?

Transformations of Linear Functions

QUESTION 04

g(x) = f(x) - 2

g(x) = 3f(x)

g(x) = f(x) - 4

g(x) = 1/3f(x)

Linear parent function f is graphed on the grid.Which graph best represents h(x) = -f(x) + 3?

Transformations of Linear Functions

QUESTION 05

A student graphed f(x) = x and g(x) = f(x) + 3 on the same coordinate grid. Which statement describes how the graphs of f and g are related?

Transformations of Linear Functions

QUESTION 06

The graph of f is shifted 3 units up to create the graph of g

The graph of f is less steep than the graph of g

The graph of f is shifted 3 units down to create the graph of g

The graph of f is steeper than the graph of g

Great Job!!! You completed the 'Translations of Linear Functions' Review

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 2/3 and the y-intercept to 4. Which statement about the relationship between these two graphs is true?

Transformations of Linear Functions

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

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

QUESTION 07

The graph of the new line isless steep than the graph of the original line, and the y-intercept has been translated up

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 shows point W and line p. Which equation best represents the point-slope form of the line that passes through point W and is parallel to line p?

Parallel and Perpendicular Lines

QUESTION 01

y - 5 = -4/5(x - 1)

y - 5 = 5/4(x - 1)

y - 5 = -5/4(x - 1)

y - 5 = 4/5(x - 1)

The graph shows point P and line m. Which equation best represents the slope-intercept form of the line that passes through point P and is parallel to line m?

Parallel and Perpendicular Lines

QUESTION 02

y = 3/2x - 5

y = -2/3x - 2/3

y = 3/2x + 5

y = -2/3x + 2/3

What is the equation in standard form of the line that passes through the point (6, -1) and is parallel to the line represented by 8x + 3y = 15?

Parallel and Perpendicular Lines

QUESTION 03

8x + 3y = -45

8x - 3y = 51

8x + 3y = 45

8x - 3y = -51

What is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by y = 1.2x + 3.8?

Parallel and Perpendicular Lines

QUESTION 04

y = 1.2x - 6

y = -1.2x - 5

y = 1.2x + 5

y = -1.2x + 6

Parallel and Perpendicular Lines

What is the equation in slope-intercept form of the line that crosses the x-axis at 36 and is perpendicular to the line represented by y = -4/9x + 5

QUESTION 05

y = 4/9x + 16

y = 9/4x - 81

y = 9/4x + 81

y = 4/9x - 16

Great Job!!! You completed the 'Parallel and Perpendicular Lines' Review

What is the equation in slope-intercept form of the line that passes through the point (2, -2) and is perpendicular to the line represented by y = 2/5x + 2 ?

Parallel and Perpendicular Lines

QUESTION 06

y = 5/2x - 7

y = -5/2x + 3

y = -5/2x - 3

y = 5/2x + 7

What form is the following linear equation in? y - 8 = 3(x + 4)

Converting Between Equations

QUESTION 01

Slope Intercept Form

Quadratic Form

Standard Form

Point Slope Form

What form is the following linear equation in? y = 3/4x + 5/4

Converting Between Equations

QUESTION 02

Slope Intercept Form

Quadratic Form

Standard Form

Point Slope Form

What form is the following linear equation in? 3x - 5y = 1

Converting Between Equations

QUESTION 03

Slope Intercept Form

Quadratic Form

Standard Form

Point Slope Form

Converting Between Equations

Convert y + 3 = 2(x - 5) to Slope Intercept Form

QUESTION 04

y = 6x - 15

y + 3 = 2x - 10

y = 2(x - 5) - 3

y = 2x - 13

Converting Between Equations

Convert y = 2x - 5 to Standard Form

QUESTION 05

-2x + y = -5

2x - y = 5

y + 5 = 2(x + 1)

y - 2x = -5

Converting Between Equations

Convert 5x - y = 2 to Slope Intercept Form

QUESTION 06

y = 5x + 2/5

y = -5x + 2

y = 5x - 2

5x = y + 2

Great Job!!! You completed the 'Converting Between Equations' Review

Converting Between Equations

Which equation has a y-intercept of -1

QUESTION 07

y - 5 = 3(x - 2)

3x + 2y = 2

y + 1 = 2(x - 1)

x + 2y = -1