Linear Functions Review
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Transcript of Linear Functions Review
Linear Functions ReviewLinear Functions Review
Rules of the game. Each person in your group needs to answer. Answer Sheets will be collected at the end of the period. Answers will be entered on the calculator. Some are fill in the blank while others are multiple choice. The first person in with the correct answer gets the points for
his/her group. You have until the music stops playing to answer the
question. However, some questions will require more time and will be given when appropriate.
In the event of a tie the points will be split among the groups.
Let’s Begin
Rules of the game. Each person in your group needs to answer. Answer Sheets will be collected at the end of the period. Answers will be entered on the calculator. Some are fill in the blank while others are multiple choice. The first person in with the correct answer gets the points for
his/her group. You have until the music stops playing to answer the
question. However, some questions will require more time and will be given when appropriate.
In the event of a tie the points will be split among the groups.
Let’s Begin
100 100 100 100 100 100200 200 200 200 200 200300 300 300 300 300 300400 400 400 400 400 400500 500 500 500 500 500600 600 600 600 600 600700 700 700 700 700 700
Rela
tion
s an
d
Fun
ction
s
Slope Slo
pe-
Inte
rcep
t Fo
rm
Syste
ms
of
Eq
uatio
ns
Usin
g
Inte
rcep
ts
Writin
g
Eq
uatio
ns
100
State the Domain of the given relation:
(-3, -5), (3, 4), (5, -4), (2, -4) (2, 6)
D =
100
Find the slope of the line that passes through the given points:
(-5, 4) and (6, 8)
100
In the slope intercept form of the equation y = mx + b, what does the m represent?
a.Slope
b.Y-intercept
100
Is the point (-2, -3) a solution to the given system of equations?
y = 3x +3
y = -x – 5
Yes or No
100
Find the x – intercept for the equation 2x + 3y = 12.
100
Write the equation of the line in slope-intercept form with the given slope and y-intercept.
Slope = -5/3 y-intercept = -5
200
State the range of the given relation:
(-3, -5), (3, 4), (5, -4), (2, -4) (2, 6)
R =
200
Find the slope of the line below.
200
Identify the slope of the line with the given equation.
32
1 xy
200
Identify the solution to the system.
200
Find the y-intercept of the given equation.
4553 yx
200
Write the equation of the line through the given points.
(0, 4), and (3, 5)
300
Is the given relation a function?
300
Find the slope of the line through the given points.
(-13, 6), and (8, -17)
300
For the line with the given equation, find the slope of a parallel line that passes through the point (0, -5)
44
3 xy
300
If two lines are parallel, how many solutions are there?
a.1 solution
b.No solution
c. Infinitely many solutions
300
Find the x – intercept of the equation
4276 yx
300
For the line with the given equation, find the slope of a line that is perpendicular to the given line.
1445
6 xy
400
The amount of rainfall in your town is recorded every day for a month. A relation is given by the ordered pairs (inches of rain, day of month). Does this relation represent a function?
400
Find the slope of the line with the given intercepts
x- intercept = -2.5
y - intercept = 1.5
400
Identify the slope and y-intercept of the line with the given equation.
a. Slope = -4/3, y-intercept = 6
b. Slope = -3/4, y-intercept = 6
2443 xy
400
Solve the system by graphing.
2133
1054
yx
yx
400
Find the intercepts of the equation.
7.6557.69.21 yx
400
Write the equation of the line that is parallel to the given line and passes through the point (0, -5).
73 xy
500
Is the given relation a function?
500
Which line has the greater slope?
Line A: (20, -18), (1, -2)
Line B: (-3, -4), (15, 16)
500
Which equation is the following equation in slope-intercept form?
1056 yx
a.
b.
c.
d.
1065 xy
1065 xy
105
6 xy
25
6 xy
500
Solve the system by Graphing
x = 3
y = 4
500
Identify the intercepts for the equation
500
Write an equation of the line that is perpendicular to the line y = -3x + 4 and passes through the point (0, 7).
Write your answer in slope intercept form.
600
State the domain for the given function.
600
Find the coordinates of two points on the line with the given equation. Then use the points to find the slope of the line.
42 xy
600
For the lines with the given equation, place the equation in slope intercept form and find the y-intercept.
18611 yx
600
The graphs of the three equations below form a triangle. Find the coordinates of one of the vertices.
1233
52
14
xy
yx
yx
600
Find the intercepts for the given equation.
5.105.31.2 yx
600
Write an equation of the line through the given points.
(0, -6), (8, -16)
700
Every relation is a function.
True or False.
700
The grade of a road is its slope written as a percent. A warning sign must be posted if a section of road has a grade of at least 8% and is more than 750 feet long.
A road rises 63 feet over a horizontal distance of 840 feet should a warning sign be posted? What is the grade?
700
Find the slope of a line that is perpendicular to the line with the given equation.
1834 yx
700
A business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $15 per day. A bicycle rents for $20 per day. On a certain day, the owner of the business has 25 rentals and takes in $450. Write and solve a system of linear equations to find the number of skates rented.
700
Find the intercepts of the given equation.
2
3
4
1
2
1 yx
700
Write an equation through the given points.
(-2, -11), (0, -11)