Algebra 1 - Functions & Graphing

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A line is the graph of the equation 3x - 4y = 8. Find the slope.

3/4

A line with equation 3x - 7y = 14. What is the slope of this line?

3/7

Write an equation in standard form of the line passing through (1,-1) with slope -4.

4x + y = 3

The time Laura takes to write a report is directly proportional to the length of the report. If it takes Laura 2 hours to write a 300 word report, how long will she take to write a 750 word report?

5

The time it takes the Ajax Cleaning Company to clean an office building each night varies inversely with the number of employees who report for work. If 6 employees can clean the building in 8 hours, how many employees would be needed to complete the job in 6 hours?

8

Write an equation in slope-intercept form of the line with slope 1/2 and y-intercept of -3.

y = 1/2x - 3

Solve 2x - 3y = 9 for y in terms of x

y = 2/3x - 3

Solve 3x - 2y = 4 for y in terms of x

y = 3/2x - 2

A line with equation 3x - 7y = 14. Write in slope intercept form

y = 3/7x - 2

Write an equation in standard form of the line passing through (2,-5) and (-4,7)

2x + y = -1

Which ordered pair is a solution of 4x - 3y = 1? (2,3) (-2,-3) (3,2) (-3,-2) (-2,3)

(-2,-3)

Solve 2x + y = 5 if x and y are whole numbers

(0,5), (1,3), (2,1)

Solve 3x + y = 7

(0,7), (1,4), (2,1)

A line is the graph of the equation 3x - 4y = 8. Find the y-intercept

-2

A line with equation 3x - 7y = 14. What is the y-intercept of the line?

-2

Find the slope of the line through the points (3,-4) and (-5,2)

-3/4

Find x if (x,7) and (21,-3) are ordered pairs in the same inverse variation

-9

Function of (1,8), (2,3), (3,5), (4,0), (5,9). What is the range?

0,3,5,8,9

Function of (1,8), (2,3), (3,5), (4,0), (5,9). What is the Domain?

1,2,3,4,5

Find y if (-6, -18) and (5,y) are ordered pairs in the same direct variation

15

Find the slope of the line whose equation is 2x - 3y = 6

2/3

Which one does NOT describe the slope of a line? A. Rise / Run B. vertical change / horizontal change C. difference between y-coordinates / difference between x-coordinates D. y2 - y1 / x2 - x1 E. x2 - x1 / y2 - y1

E

True or False: (3, -1) is in the second quadrant

False

True or False: Horizontal lines have no slope.

False

True or False: The abscissa of (2, -5) is -5

False

True or False: The equation of the horizontal line passing through (3, -2) is x = -2

False

True or False: The graph of x + y = 3 crosses the x-axis at (0,3)

False

True or False: The graph of x = 4 is a horizontal line

False

True or False: The ordered pairs (2,3) and (3,2) are the same

False

True or False: The point with coordinates (1, -2) is on the graph of 3x - 2y = 1

False

True or False: The slope of every vertical line is 0.

False

True or False: The standard form of y = -2/3x + 1 is 2x + 3y = 1

False

True or False: x = 3 is solution of 4x - 3y = 12

False

True or False: y = 2x + 3 is a linear equation in standard form

False

True or False: y = 3/4x + 2 and y = 3/4x - 3 have different slopes.

False

True or False: (-1,-6) is a solution of 4x - y = 2

True

True or False: (3,2) is a solution of 3x - 2y = 5

True

True or False: 2x - y = 3 is a linear equation in standard form

True

True or False: 3x - 2y = 5 is an equation containing 2 variables

True

True or False: 3x - y = 4 and y = 3x - 4 are equivalent

True

True or False: 4x + y = 3 and y = -4x + 3 are equivalent

True

True or False: If x < 0 and y < 0, then the point P(x, y) is in the third quadrant

True

True or False: Points that lie on same line are collinear

True

True or False: The equation of the y-axis is x = 0

True

True or False: The graph of 2x - 3y = 6 is a line

True

True or False: The graph of x = 0 is the y-axis

True

True or False: The graph of y = 3x passes through the origin

True

True or False: The point with coordinates (4,3) is in the graph of 2x + 3y = 17

True

True or False: The slope of a line is constant on a line.

True

True or False: The slope of y = 3x -2 is 3

True


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