Linear Functions 3.1-3.4

3.1 Graphing Linear Equations

100

Is 3x+4y=5 in standard form

Yes

200

Is 2x+4x+8x+12xy+16y+13y=29 a linear function?

No, because two variables are being multiplied by each other.

300

 Put 8x – 3y = 6 – 4x into standard form

4x-y=2

400

Is the equation 91x+39y=26 in standard form

No, because they are all divisible by 13.

500

Rewrite 399y=-627x+228 in standard form

11x+7y=4

3.2 Graphing Linear Equations using x/y tables

100

Find the y intercept of the line y=3

(0,3)

200

What y value makes (7,y) a solution for the line y=x+2

y=9

300

Find whether or not the point (3,21) is a solution for the line y=6x+7

Not a solution 

400

Find the x and y intercepts of 4x+5y=20

(0,4) and (5,0)

500

Find the x and y intercepts of the equation 16x+12y=120

(7.5,0) and (0,10)

3.3 Rate of Change and Slope

100

What is the slope of a line with the equation y=3x+2

m=3

200

If a line passes through the points (6,8) and (6,3), what is the slope of the line?

m is undefined

300

Find the slope of a line that passes through the points (-2,-5) and (7,8).

m=13/9

400

(-12,8) (8,r) m=5/2

Find r

r=58

500

A daily newspaper had 12,125 subscribers when it began publication. Five years later it had 10,100 subscribers. What is the average yearly rate of change in the number of subscribers for the five-year period?

-405 subscribers per year

3.4 Direct Variation

100

If x=3 when y=1, what is x equal to when y is 4?

x=12

200

How is a direct variation equation written?

y=kx

300

If y = 7.5 when x = 0.5, find y when x = –0.3.

y=-4.5

400

Suppose y varies directly as x, and y=91 when x=7. Write a direct variation equation that relates x and y.

y=13x

500

The cost of bananas varies directly with their weight. Miguel bought 3.5 pounds of bananas for $1.12. Find the cost of 4.25 pounds of bananas.

$1.36