Graphs
Linear Equations
Functions
Writing Linear Equations
Misc
100
What is the equation to this graph?
Your answer should be in slope-intercept form
y=3x-2
100
Determine the equation of the line with the specified slope that passes through the given point.
(3, –4)
m = 2
y-y1=m(x-x1)
y+4=2(x-3)
y+4=2x-6
y=2x-10
100
Does this mapping diagram depict y as a function of x? Yes or no AND why?
The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.
100
Write the equation of the line with the given slope and y-intercept.
slope = 5
y-intercept = 8
y = 5x+8
100
Which table is non-linear?
A
200
Which set of points are on the line?
A. {(0, 0), (1, 1), and (2, 2)}
B. {(1, 1), (1, 2), and (2, 3)}
C. {(0, 0), (-1, 1), and (1, 2)}
D. {(0, 0), (-1, 1), and (1, -1)}
D
200
The table shows the temperature of a greenhouse where the temperature was taken after x hours.
What is the y-intercept of this function and what does it represent?
50; the starting temperature of the greenhouse
200
A relation contains the points (3, 4), (2, -1), (8,4), and (-5,7).
Does this represent y as a function of x? Why?
The relation represents y as a function of x, because each value of x is associated with a single value of y.
200
Determine the equation of the line with the specified slope that passes through the given point.
(–3, –4)
m = 2
y-y1=m(x-x1)
y+4=2(x+3)
y+4=2x+6
y=2x-2
200
Write an equation for the line graphed.
y = 2/3x - 3
300
Draw the graph of the line depicted in this table
300
What is the linear equation of this table?
- y=x+3
- y=2x-7
- y=x-6
y=2x-7
300
Which function has a greater rate of change than the function represented in the table?
- A y = 4x
- B y = x + 2
- C y = 2x + 3
- D y = 3x + 4
A
300
Determine the equation of the line with the specified slope that passes through the given point.
(3, –4)
m = 2
y-y1=m(x-x1)
y+4=2(x-3)
y+4=2x-6
y=2x-10
300
Just by looking at y = −x 2 + 1, how do you know that it does not represent a line?
x is squared
400
What is the domain of the graphed function?
x ≥ -2
400
The table shows the temperature of a greenhouse where the temperature was taken after x hours.
What is the rate of change (slope) of this function and what does it represent?
m= (y2-y1)/(x2-x1)
m = (60-50)/(5-0) --> 10/5 --> 2
2; an increase of 2 degrees of temperature for each hour that passes
400
The cost of a truck rental for a day is $45.00, plus an additional $0.25 for every mile driven.
Which function gives the cost of the daily truck rental?
A. f(x) = 0.25 + 45
B. f(x) = 0.25 + 45x
C. f(x) = 0.25x + 45
D. f(x) = 0.25x + 45x
C. f(x) = 0.25x + 45
400
Lauren is planning a catered dinner party for her parents' anniversary with a dinner budget of $288. She has selected two options: a chicken dinner that costs $9 per plate and a steak dinner that costs $12 per plate. Lauren is working on the guest list and must also determine how many of each meal to order.
Let x represent the number of chicken dinners and let y represent the number of steak dinners. Write an equation
288 = 9x + 12y
400
The cost of a truck rental for a day is $45.00, plus an additional $0.25 for every mile driven.
What is the cost of driving 100 miles?
f(x) = 0.25x + 45
f(100) = 0.25(100) + 45
= 25+45
= $70
500
Joaquin built a ramp for his little brother to use with toy cars. The relationship between the length of the ramp, x, and the height of the ramp, y, is shown in the graph.
Which statement correctly explains the meaning of the rate of change for this graph?
A. The ramp has a 1-inch change in height for every 5-inch change in length.
B. The ramp has a 1-inch change in height for every 3-inch change in length.
C. The ramp has a 3-inch change in height for every 1-inch change in length.
slope = rise/run
5/15 --> 1 in height /3 in length
c. The ramp has a 1-inch change in height for every 3-inch change in length.
500
HINT: PAY CLOSE ATTENTION TO IF THE VALUES IN THE TABLE ARE IN ORDER
What is the linear function of this table?
- y=x+3
- y=2x-7
- y=x-6
y = x-6
500
Amy is applying for a job in two companies. The given table shows the salary in dollars (y) that Company 1 is offering if she works x hours. Company 2 is offering $12.50 per hour plus a bonus of $80.
If she plans to work 40 hours each week, in which company will she earn more money in a week and by how much more?
She will earn $40 more in Company 1.
500
Roman has $40 to spend on snacks for his camping trip. He plans to buy protein bars that cost $3 each and individual bags of trail mix that cost $2 each.
If x represents the number of protein bars that Roman buys and y represents the number of individual bags of trail mix that Roman buys, then which equations represent this situation?
Choose 2:
- 2x+3y=40
- 3x+2y=40
- y= −3/2x+20
- y= −2/3x+20
- 3x+2y=40
- y=−3/2x+20
500
A math teacher is trying to analyze her test grades. She surveys the students to find out how many minutes they studied. She then makes a scatterplot of time studying and test grades.
What is the domain?
the number of minutes the students studied