Linear Equations
Domain and Range
Linear Inequalities
Solving Equations and Inequalities
Linear Functions
Writing Systems of Equations
100
Printer ink costs $18.99 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $7.95, no matter the number of cartridges purchased in an order.
Which linear functions represents t, the total cost for c, number of cartridges.
f(x)=18.99c+7.95
100
Domain and Range of the following function.
-3<=x<6
-2<=f(x)<1
100
Which ordered pair is in the solution set of
y<1/3x+2
(3,0)
100
What is the solution to
10-3(m-5)=2(5-m)?
15
100
What is the zero of the following function?
Zero: (2,0)
100
An artist bought a set of 10 paintbrushes that contained x small paintbrushes and y large paintbrushes. The number of small paintbrushes in the set was 4 times the number of large paintbrushes in the set.
Write a system of equations to represent the following situation.
Let x: small paintbrushes Let y: Large paintbrushes
x+y=10
x=4y
200
The table represents some point on the graph of a linear function.
Write the function that represents this relationship.
y=-3/2x+4
200
Domain and Range of the Linear Function.
-3<x<=6
-4<=f(x)<=8
200
Write the linear inequality for the following graph.
y<-2/3x+3
200
What is the solution to this equation?
-4(2m-7)=3(52-4m)
32
200
The graph of the linear function is shown on the grid.
Which statements are correct about the function shown?
A. The zero of the function is 6.
B. The x-intercept of the function is 3.
C. The rate of change of the function is 1/2
D. The y-intercept is (0,3)
A, D
200
There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7 inches or 12 inches. The diameter of all 15 plates is 140 inches.
Write system that can be used to find the number of 7-inch plates, x, and 12-inch plates, y, that are in the cabinet.
x+y=15
7x+12y=140
300
The graph of a linear function is shown on the coordinate plane.
Which function can be used to represent the following situation. (Convert to standard form)
x-2y=-4
300
A student borrowed 450 dollars from a friend and agreed to make monthly payments of $96 until the amount was paid back.
The function shown models this relationship, where f(x) represents the remaining loan balance after the student has made x monthly payments.
The domain and range of the situation are?
The domain of the function is {0, 1, 2, 3, 4, 5}
The range of the function is {0, 96, 192, 288, 384, 480}
300
Write the linear inequality for the following graph.
y>=-1/3x-2
300
What is the solution to
8x-3(2x-4)=3(x-6)?
30
300
Write the following linear function in point-slope form given the graph and the point.
y-3=-3/2(x+3)
300
Yes!!!!!
400
A linear equation goes through the two points (3,5) and (6,-4). Determine the slope and y-intercept given the two points.
y=-3x+14
400
The total cost in dollars to buy uniforms for players on a volleyball team can be found by using the following function, where u represents the number of uniforms bought. If there atleast 8 players but no more than 12, What is the range of the situation.
c=34.95u+6.25
The range is {285.85, 320.80, 355.75, 390.70, 425.65}
400
Which inequality is in the solution set of
y>-1/3x-2
(3,-1)
400
What is the solution set for
-4x+10>=5x+55?
x<=-5
400
Use the point-slope equation below and convert it to slope-intercept form.
y+3=-2(x-4)
Slope: -2
y-interecept: 5
Equation:
y=-2x+5
400
A system of equations is graphed on the grid.
Write the system that represents these functions.
y=2/5x-3
y=-3/5x-8
500
Convert the following equations from slope -intercept form to standard form.
y=1/3x+5
y=3x+4
x-3y=-15
3x-y=-4
500
The daily cost of hiring a plumber, y, to work x hours on a repair job can be modeled by using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day.
What is the domain and range of the following situation?
0<=x<=8
80<=y<=440
500
Which 3 points are in the solution set for the following inequality
x+3y<=-6
B, D and E
500
What is the solution set to the following linear inequality?
5(3-x)<-2x+6
x>3
500
Yes!!!!!
500
The tables of ordered pairs represent some points on the graphs of two lines.
Write a system of equations to represent the two lines. (convert to standard form)
y=5x-7
y=-4x+12