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NAME: _______________________________________ Milestones Review HW#6
Deadline: March 27, 2017
Units 5 & 7 Review
Directions: Read each equation carefully. Show your work where applicable. Circle the correct answer. This assignment
will be collected & graded (weighted as a formative assessment). Turned in late? 2 points off each day it’s late up to 2
days. After that, a zero will be given.
1.) The graph of a system of linear equations is
shown below.
3.) A line contains the points (4, 2) and (0, -1). What
is the equation of the line?
A. ) 𝑦 = 2𝑥 − 6
3
B. ) 𝑦 = 𝑥 − 1
4
C.) 𝑦 =
D.) 𝑦 =
1
4
4
3
𝑥+1
𝑥−
10
3
4.) A system of equations is shown below.
5𝑥 + 3𝑦 = −6
2𝑥 + 𝑦 = −4
Which ordered pair is the best estimate for the
solution of this system of linear equations?
A.) (-6, -2)
B.) (-3, 2)
C.) (4, -4)
D.) (6, 8)
Which statement about the ordered pair (-6, 8) is
true?
2.) The graph of a function is shown below.
A.) It is the only solution to the problem.
B.) It is not a solution to either equation.
C.) It is one of many solutions to the system.
D.) It is a solution to the first but not the second
equation.
5.) What is the equation of the line that passes
7
through point (4, 12) and has a slope of ?
2
For which interval of x is the function decreasing and
nonlinear?
A.) between -4 and -2
C.) between 0 and 2
B.) between -2 and 0
A.) 𝑦 =
D.) between 2 and 4
C.) 𝑦 =
7
2
7
2
𝑥−2
B.) 𝑦 =
𝑥+2
D.) 𝑦 =
7
2
7
2
𝑥 + 26
𝑥 − 38
6.) Which statement explains why the point (-2, 2) is
the solution to the system of linear equations shown
below?
8.) The relationship between temperature in degrees
Fahrenheit and degrees Celsius is shown in the graph
below.
A.) It lies on the graph of only one of the equations.
B.) It lies in the second quadrant of the coordinate
plane.
C.) It is the only point that satisfies both equations
simultaneously.
D.) It is one of many points that satisfies both
equations simultaneously.
What is the meaning of the y-intercept?
7.) Mr. Thomsen is buying two types of gift cards to
give as prizes to employees at a company meeting.
He will buy restaurant gift cards that each cost $50.
He will also buy movie theater gift cards that each
cost $20. He has $450 to buy a total of 15 gift cards.
How many of each type of gift card can Mr. Thomsen
buy?
A.) the change in degrees Fahrenheit for every
change of one degree Celsius
B.) the change in degrees Celsius for every change of
one degree Fahrenheit
C.) the temperature in degrees Fahrenheit when the
temperature is zero degrees Celsius
D.) the temperature in degrees Celsius when the
temperature is zero degrees Fahrenheit
9.) The graph of a system of equations is shown
below.
A.) He can buy 5 restaurant gift cards and 10 movie
theater gift cards.
B.) He can buy 8 restaurant gift cards and 7 movie
theater gift cards.
What system of equations represents the graph?
1
C.) He can buy 10 restaurant gift cards and 5 movie
theater gift cards.
A.) 𝑦 = −2𝑥 + 10 𝑎𝑛𝑑 𝑦 = − 𝑥
3
1
B.) 𝑦 = −2𝑥 + 10 𝑎𝑛𝑑 𝑦 = − 𝑥
1
D.) He can buy 12 restaurant gift cards and 3 movie
theater gift cards.
2
C.) 𝑦 = − 𝑥 + 10 𝑎𝑛𝑑 𝑦 = −2𝑥
2
1
D.) 𝑦 = − 𝑥 + 10 𝑎𝑛𝑑 𝑦 = −2𝑥
3
10.) Which of the equations listed below are linear
equations?
15.) Which statement is true concerning the slope of
the line below?
Equation I: 𝐶 = 2𝜋𝑟 Equation II: 𝐴 = 𝜋𝑟 2
Equation III: 𝑉 =
4𝜋𝑟 3
3
A.) equation I only
B.) equation II only
C.) equations I and II
D.) equations II and III
11.) Which table of values represents a linear
function?
A.)
B.)
x
y
x
y
0 0
0 0
1 1
1 2
4 16
4 8
9 81
9 18
C.)
x
0
1
4
9
y
1
3
9
20
D.)
x
0
1
4
9
y
0
2
4
6
A.) The slope is equivalent to the simplified ratio of
the horizontal leg to the vertical leg of each triangle
shown.
2
B.) The slope is equivalent to − .
3
C.) The slope is equivalent to the simplified ratio of
the rise to the run of each triangle shown.
3
D.) The slope is equivalent to .
2
16.) Write an equation that represents the line
graphed below.
________________
12.) Solve the system of equations below.
17.) The line below has a ______________ slope.
2𝑥 + 4𝑦 = 10
A.) positive
2𝑥 + 4𝑦 = −10
B.) negative
C.) zero
A.)
B.)
C.)
D.)
D.) undefined
x = 3, y = 1
x = 6, y = -4
no solution
infinitely many solutions
18.) Bob has $12 and he makes $5 per hour washing
cars. This can be represented as: y = 5x + 12. What
does the slope represent?
13.) Which equation represents a nonlinear
function?
A.) 𝑦 = −3𝑥 + 1
C.) 𝑦 =
1
2
𝑥+1
B.) 𝑦 = 𝑥 2 + 1
D.) 𝑦 = 2𝑥 +
A.) The number of cars washed
B.) The total cost of car washed
C.) The amount he makes per hour
D.) The amount he already has
1
2
19.) The lines below show _____________________.
14.) A vertical line has ____________ slope.
A.) no solution
A.) positive
B.) negative
B.) infinite solutions
C.) zero
D.) undefined
C.) one solution
Use the graph and information below to answer
questions 20 – 22.
Two dog walker’s prices are graphed below.
Max charges $8 to get to know a new dog and $2 per
walk.
Dan charges $2 to get to know a new dog, plus $3 per
walk after that.
22.) Explain what the point (10, 28) means.
A.) Dan walked a dog 28 times for $10.
B.) Max walked a dog 28 times for $10.
C.) Max walked a dog 10 times for $28.
D.) Dan walked a dog 10 times for $28.
23.) Alice is having her birthday party at a game
center. The center charges $100 plus $20 per guest.
The total cost of the party, y, can be represented by
the equation y = 20x + 100. What does the
y-intercept represent?
A.) the number of guests
B.) the cost to rent the game center
C.) the cost per guest
D.) Alice’s age
24.) What is the solution of the system of equations?
y = 2x + 2
y = 4x – 2
B.) (−2, −6)
D.) (2, 6)
A.) (2, −6)
C.) (−2, 6)
25.) What is the constant rate of change between the
values of x and y in the table?
x
y
20.) What is the charge for each to walk a dog 3 times?
A.) Max charges $11 and Dan charges $14.
B.) Max charges $14 and Dan charges $11.
C.) Max charges $14 and Dan charges $16.
D.) Max charges $16 and Dan charges $14.
21.) Choose the statement below that describes the
best deal for choosing dog walkers.
A.) For fewer than 6 walks, Dan has the best price, but
for more than 6 walks, Max has the best price.
B.) For fewer than 6 walks, Max has the best price, but
for more than 6 walks, Dan has the best price.
C.) For fewer than 20 walks, Max has the best price, but
for more than 20 walks, Dan has the best price.
D.) For fewer than 20 walks, Dan has the best price, but
for more than 20 walks, Max has the best price.
1
-6
A.) −
C.)
3
4
4
3
5
-3
9
0
13
3
B.) −
D.)
3
4
4
3