Algebra 1: 3.1-3.5 Test
A football team has an away game, and the bus breaks down. The coaches decide to drive the players to the game in cars and vans. Four players can ride in each car. Six players can ride in each van. There are 48 players on the team. The equation 4x+6y=48 models this situation, where x is the number of cars and y is the number of vans The y-intercept shows they can take ___ cars and ____ vans
0 cars and 8 vans
A football team has an away game, and the bus breaks down. The coaches decide to drive the players to the game in cars and vans. Four players can ride in each car. Six players can ride in each van. There are 48 players on the team. The equation 4x+6y=48 models this situation, where x is the number of cars and y is the number of vans The x-intercept shows they can take ___ cars and ____ vans
12 cars and 0 vans
A football team has an away game, and the bus breaks down. The coaches decide to drive the players to the game in cars and vans. Four players can ride in each car. Six players can ride in each van. There are 48 players on the team. The equation 4x+6y=48 models this situation, where x is the number of cars and y is the number of vans Find a different possible solution in the context of the problem. They can take ____ cars and ___ vans
9 cars and 2 vans
A___________ is a set of input values that consist of all numbers in an interval
Continuous Domain
find the domain for #3
D = -4≤x≤2
find the domain for #4
D = 2<x<7
find the domain for #1
D = {-2,-1,0,1,2}
find the domain for #2
D = {-2,0,2,4}
The function y=60−8x represents the amount y (in dollars) of money you have after buying x movie tickets. Find the domain
D = {0,1,2,3,4,5,6,7}
The function y=10x+100 represents the amount y (in dollars) of money in your bank account after you babysit for x hours. You babysit for 4 hours. Find the domain and range of the function.
D= 0≤x≤4 R=100≤y≤140
A ______ is set of input values that consists of only certain numbers in a an interval
Discrete Domain
The _______ of a function is the set of all possible input values
Domain
find the range for #4
R = 1<y<6
find the range for #3
R = 2≤y≤6
find the range for #2
R = 3
find the range for #1
R = {-2,0,2}
The function y=12x represents the number y of pages of text a computer can print in x minutes the domain is 1,2,3,4 what is the range
R = {12,24,36,48}
The _______ of a function is the set of all possible output values
Ranges
Find the slope and the y-intercept of the graph of the linear equation. −5x = 8−y
Slope is 5; y-intercept is 8
The number of quarters you put into a parking meter affects the amount of time you have on the meter. amount of time is dependent or independent variable
dependent variable
The function y=60−8x represents the amount y (in dollars) of money you have after buying x movie tickets. Is the domain discrete or continuous?
discrete
Determine if this is a function (0,3) (1,1) (2,1) (3,0)
function
Is the relation a function?for #12
function
Evaluate g(x)=4−3x when x=−3, 0, and 5. g(−3)= g(0)= g(5)=
g(−3)= 13 g(0)= 4 g(5)=-11
Evaluate h(x)=−2x+9 when x=−2,0, and 5. h(−2)= h(0)= h(5)=
h(−2)= 13 h(0)=9 h(5)=−1
y=-3 is a what line
horizontal
The number of quarters you put into a parking meter affects the amount of time you have on the meter. amount of time is dependent or independent variable
independent variable
Determine whether the equation y=4x(8−x) represents a linear or nonlinear function.
linear
Determine whether the equation y=³√8−x represents a linear or nonlinear function.
linear
A linear function h models a relationship in which the dependent variable decreases 2 units for every 3 units the independent variable increases. Graph h when h(0)=2. Then identify the slope, y-intercept, and x-intercept of the graph. slope =
m=-2/3
For graph #9 find the slope
m=-3/5
For graph #10, find the slope
m=0
y=b the slope is
m=0
For graph #9, describe the slope, the slope is _______
negative
Determine whether the equation y=x2+13 represents a linear or nonlinear function
nonlinear
Is #5 linear or nonlinear
nonlinear
Is #6 linear or nonlinear
nonlinear
Is table #7 linear or nonlinear
nonlinear
Determine if this is a function input, x -2,0,1,-2 output,y 4,5,4,5
not a function
r(x)=−5x−1; r(x)=19
r=-4
The function y=10x+100 represents the amount y (in dollars) of money in your bank account after you babysit for x hours. The dependent variable is
the amount of money in the bank account
The function y=10x+100 represents the amount y (in dollars) of money in your bank account after you babysit for x hours. The independent variable is
the hours you babysit.
Determine whether the relation (1,−2), (2,1), (3,6), (4,13), (5,22) is a function. (the relation is ______________ because __________ inputs have ________ output(s)
the relation is a function because all inputs have exactly one output(s)
Determine whether the relation (7,4), (5,−1), (3,−8), (1,−5), (3,6) is a function. (the relation is ______________ because __________ inputs have ________ output(s)
the relation is not a function because one or more inputs have two output(s)
What is the slope of table #11
undefined
x=a the slope is
undefined
x=2 is a what line
vertical
independent variable
x
Find the y and x intercept of equations: 5x-2y=-30
x-intercept = -6 y-intercept = 15
Find the x- and y-intercepts of the graph of the linear equation 3x−6y=2. x-intercept = y-intercept =
x-intercept = 2/3 y-intercept = -1/3
A linear function h models a relationship in which the dependent variable decreases 2 units for every 3 units the independent variable increases. Graph h when h(0)=2. Then identify the slope, y-intercept, and x-intercept of the graph. x-intercept = y-intercept =
x-intercept = 3 y-intercept = 2
Find the y and x intercept of equations: -4x+8y=-16
x-intercept = 4 y-intercept = -2
Find the x- and y-intercepts of the graph of the linear equation 2x+3y=12. x-intercept = y-intercept =
x-intercept = 6 y-intercept = 4
Find the value of x so that the function has the given value. m(x)=4x+15; m(x)=7
x=-2
Find the value of x so that the function has the given value. h(x)=−7x; h(x)=63
x=-9
Find the value of x so that f(x)=7. for #8
x=5
The function y=12x represents the number y of pages of text a computer can print in x minutes what is the independent variable
x=minutes
dependent variable
y
The function y=12x represents the number y of pages of text a computer can print in x minutes what is the dependent variable
y=number of pages
For graph #10, describe the slope, the slope is ______
zero
