Use a mapping diagram to determine whether the relation is a function.
{(0,0), (1,1), (4,2), (1,-1)}
See board for solution.
100
Is the equation a direct variation? If so find the constant of variation.
0.7x - 1.4y = 0
Yes, k=0.5
100
Find the slope of the line that passes through the points (-7, 1) and (7,8).
m=1/2
100
Find the greatest common factor of 35, 50, 65.
5
200
Solve for y.
-11 - 3y = 8y + 1
y= -12/11
200
Evaluate the function for x=3.
f(x)= (-1/2)x - (1/2)
f(3)= -2
200
Is the equation an inverse variation? If so, find the constant of variation.
xy=25
Yes, k=25
200
Find the rate of change for the situation.
A baby is 18in. long at birth and 27 in. long at ten months.
9/10 in. per month
200
Round 83.399 to the nearest hundredth.
83.40
300
Solve for x.
3(5x -2) - 6x = 3(3x + 2)
No solution
300
Write a function rule for the table.
x: 1 2 3 4 5
f(x): 1 16 81 256 625
f(x)=x^4
300
Write an equation of direct variation that includes the point (1/4, -5).
y=-20x
300
Find the x and y intercept for -2x - 4y = 16.
(-8,0) and (0,-4)
300
How many days are in one year?
365 days
400
Write an equation and solve.
Find three consecutive integers whose sum is 96.
31, 32, 33
400
Write a function rule for the situation.
The total distance d(n) traveled after n hours at a constant speed of 45mph.
d(n)=45n
400
The points (3, 4) and (9, y) are on the same graph of direct variation. Find the missing value.
y=12
400
Through the given point, draw the line with the given slope.
(2, -3)
m= -4/3
See the board for solution.
400
3 1/2 - 2 2/3 = ?
5/6
500
Write an equation and solve.
The sum of three consecutive odd integers is -87.
-31, -29, -27
500
Write a function rule c(m) to model the cost of renting truck for a day and driving m miles.
A truck rental company charges $44 per day for renting a medium sized truck. There is also a charge of $0.38 per mile.
c(m)=44 + .38m
500
The points (4, 2.65) and (x, 4.24) are on the same graph of inverse variation. Find the missing value. Then, write the equation of inverse variation.
x= 2.5
y=10.6/x
500
The following equation is written in standard form. Translate it into slope- intercept form by solving for y. Is it a direct variation? If so, find the constant of variation. If not, explain why it isn't.
-3x + 6y = -6
y = (1/2)x -1
Not a direct variation because it does not match the form y=kx because of the -1.