Algebra 1 Linear Equations Domain and Range

What is the y-intercept of this graph?

• (0,1)

• (0,-2)

• (0,0)

• (0,3)

What is the equation of the line that has a slope of 3 and goes through the point (5,4)?

• y = 3x - 11

• y = 3x + 11

• x = 3

• y = -3x - 11

Write the equation of a line with a slope of 2 that goes through the point (-4, 3).

• y = 2x + 3

• y = 2x + 8

• y = 2x + 11

• y = 2x - 3

Graph. y = 2/3x - 3

• a

• b

• c

• d

Given the table, write the equation in the slope-intercept form.

• y = 1/3x + 6

• y = 3x + 6

• y = 2x + 6

• y = 1/2x + 6

Given 𝑓(𝑥)=𝑥+3, what is the range, when the domain is {-1, 3, 5,7}?

• All real numbers

• 2 < y < 10

• {2, 6, 8, 10}

• 2

The graph shows a system of linear equations. Which of the following could be used to determine the solution?

• 3x − 2y = 8

  7x + 4y = −28

• 3x + 2y = −8

  7x − 4y = 28

• 3x + 2y = 8

  7x − 4y = −28

• 3x − 4y = 28

  7x + 2y = −8

What is the solution to the system of linear equations below?

-3x + 4y = 9

8y - 6x = 18

• (0, 4)

• (0, -4)

• no solution

• infinitely many solutions

Does the graph represent a function?
If you have an x value that has 2 "y" values it is NOT a function! 

• Yes, because the vertical line test shows there are no repeating input values

• No, because the vertical line test shows there are repeating input values

A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x, the time in minutes.

Which answer choice best describes the domain and range of the function for this situation?

• Domain: All real numbers greater than or equal to 0 and less than or equal to 100

  Range: All real numbers greater than or equal to 0 and less than or equal to 50

• Domain: {−2}

  Range: {100}

• Domain: All real numbers greater than or equal to 0 and less than or equal to 50

  Range: All real numbers greater than or equal to 0 and less than or equal to 100

• Domain: {100}

  Range: {−2}