A certain line has a slope of -8 and passes through the point (0,3). Using this information, write the equation of this line in slope-intercept form.
y=-8x+3
100
Change the following equation into standard form: y=5x+7
-5x+y=7
100
Determine whether the following sequence is an arithmetic sequence: 2, 4, 6, 8, 10....
Yes, it is, as the difference between the terms is constant.
100
Name the constant of variation for the following equation.
y=6x
constant of variation= 6
100
True or False: the equation y=3x+1 is proportional.
False; the y-intercept must be 0 for it to be proportional.
200
Write the equation x+7y=14 in slope-intercept form.
y=-(1/7)x +2
200
Determine whether or not the following equation is in standard form. If not, correct it.
1.5x+2y=3
No; 3x+4y=6
200
Determine whether the following sequence is arithmetic: 9, 18, 27, 37, 45...
No; the difference between the numbers is not constant.
200
In a direct variation equation (y=kx), k cannot equal this number.
What is 0
200
True or False: any equation written in the form of y=kx is proportional.
True.
300
The slope of a certain line can be represented with the equation y=3x+16. State the slope and the y-intercept.
Slope=3
Y-Intercept= 16
300
Change the following equation from slope-intercept form to standard form: y=(6/5)x-3
-6x+5y=-15
300
Find the next three terms of the following sequence: 17, 0, -17, -34...
-51, -68, and -85
300
Suppose y varies directly as x, and y=4 when x=2. Write a direct variation equation that relates x and y.
1. y=kx
2. 4=k(2)
3. k= 2
300
Write an equation in function notation for the relation shown below.
x|1|2|3|4| 5 |
y|2|4|6|8|10|
f(x)=2x
400
A certain line can be represented using the equation y=4x-3.5. Besides the y-intercept, name two points that the line passes through.
(1, 0.5)
(2, 4.5)
(3, 8.5)
(-1, -7.5)
(-2, -11.5)
400
Determine whether or not the following equation is in standard form. If not, correct it.
13x+68y=12
Yes, the equation is in standard form.
400
Write an equation for the nth term of the following arithmetic sequence: 12, 16, 20, 24...
f(n)=4n+8
400
Using the direct variation equation y=2x, find x when y=8.
1. y=2x
2. 8=2x
3. x=4
When y=8, x=4.
400
Give an example of a nonproportional equation.
Answers may vary; answers cannot pass through the origin.
ex. y=3x+4
500
A certain line has a slope of 0.8 and passes through the points (5,7) and (-5,-1). Write the line's equation in slope-intercept form.
y=0.8x+3
500
Turn the following information into a standard form equation.
Slope= 3
Y-intercept=5
-3x+y=5
500
Find the 22nd term in the following arithmetic sequence: 2, 5, 8, 11, 14....
65
500
Suppose y varies directly as x, and y=32 when x=8. Write a direct variation equation that relates x and y. Then find y when x=16.
Part 1
y=4x
Part 2
y=64
500
A runner is running a 5-mile race. In the following table, x represents the number of miles run, and y represents the time in minutes it took for the runner to run each mile. Determine whether or not the relationship is proportional.
x| 1 | 2 | 3 | 4 | 5 |
y|6:45|7:10|7:25|7:31|7:45|