Transcript Bell Work - Denton ISD

BELL WORK
1. A STORE IS OFFERING A 15%
DISCOUNT ON ALL ITEMS.
• a. Write a linear equation giving
the sale price, S for an item with a
list price, L.
• b. Find the sale price of an item
originally priced at $39.
2. FIND THE VALUE OF 𝑥 FOR THE TRIANGLE.
THE PERIMETER OF THE TRIANGLE IS 24FT.
3. A MANUFACTURER PAYS ITS ASSEMBLY LINE WORKERS $11.50
PER HOUR. IN ADDITION,
WORKERS RECEIVE A PIECEWORK RATE OF $0.75 PER UNIT
PRODUCED.
• a. Write a linear equation for the
weekly wages W in terms of the number
of units x produced per hour.
• b. Find the wages of a worker who
works a 40-hour week and produces
350 units.
4. SOLVE
 4a  1 3

 10a
8
5. YOUR SCHOOL IS SPONSORING A PANCAKE DINNER TO RAISE
MONEY FOR A FIELD TRIP. YOU ESTIMATE THAT 200 ADULTS AND 250
CHILDREN WILL ATTEND. LET X REPRESENT THE COST OF AN
ADULT’S TICKET AND Y REPRESENT THE COST OF A CHILD’S TICKET.
• A)Write an equation that can be used to
find out what ticket prices could be set in
order to raise $3800.
• B)If the school sets the child’s ticket price at
$4.80, what would the adult’s tickets price
be?
6. WHICH OF THE FOLLOWING IS A TRUE
STATEMENT REGARDING DOMAIN, RANGE,
RELATIONS, AND FUNCTIONS?
• a. In a relation, domain values can be repeated.
• b. In a function, range values can be repeated.
• c. Both statements are true.
7.FIND THE VALUE OF X SO THAT THE LINE
PASSING THROUGH THAT TWO POINTS HAS
THE GIVEN SLOPE.
•(−1, 4) (x , 3 ) m=
1
5
8. FIND THE VALUE OF Y SO THAT THE LINE
PASSING THROUGH THAT TWO POINTS HAS
THE GIVEN SLOPE.
•(8, 1) (1 , y ) m= 1
9. FIND THE VALUE OF Y SO THAT THE LINE
PASSING THROUGH THAT TWO POINTS HAS
THE GIVEN SLOPE.
•(9, y) (3 , 2 ) m=
2
3
10. YOU FIND A COAT THAT YOU LOVE, IT
SELLS FOR $145.98.
• a. When you go to the register to buy the coat the
sales person charges you sales tax at a rate of
8.25%. How much did you pay for the coat?
• b. When you go to another store later that day you
find that same jacket is on sale at a 28% discount!
How much would you have saved by buying the
coat at the 2nd store? (Remember that every store must
charge sales tax. It is the same rate if you are in the same city)
11. THE COST OF RENTING A 26-FOOT U-HAUL TRUCK IS $39.95
PER DAY AND $0.59 PER MILE. LET F(X) REPRESENT THE COST OF
RENTING A TRUCK FOR A DAY AND DRIVING IT “X” MILES..
• a) Write the equation for this function..
• b) How much will it cost to rent a truck for a day if
the driver goes a total of 32 miles?
• c) How far did you drive if you spent $93.05?
• D) What is dependent in the situation?
• E)What is independent in this situation?
12. A CERTAIN LONG DISTANCE COMPANY CHARGES $5 A MONTH FOR THEIR SERVICE
PLUS AN ADDITIONAL $0.05 PER MINUTE ON
CALLS. IF “X” REPRESENTS THE TOTAL NUMBER OF MINUTES OF LONG DISTANCE USED
DURING ANY GIVEN MONTH AND “F(X)”
REPRESENTS THE COST OF THE BILL FOR THAT MONTH, FIND THE FOLLOWING:
• a) Find the equation of the line.
• b) How long did you talk if your bill was $10.15?
• c) If no long distance calls were made during a
particular month, how much is the bill?
• d) Find the cost of a bill during a month where 250
minutes of long distance were used.
• e) What does f(50) represent?
13. AFTER 8 MINUTES, THE ALTITUDE OF AN AIRPLANE ABOVE
THE RUNWAY IS 6 THOUSAND FEET. AFTER 12 MINUTES, THE
ALTITUDE
OF THE SAME AIRPLANE IS 9 THOUSAND FEET.
• a) What is the rate of change of the
altitude per minute?
• b) What is the altitude of the airplane
after 15 minutes?
14. ACCORDING TO THE CENSUS, THE POPULATION OF THE METROAUGUSTA AREA IN 1990 WAS 415,184 AND IN 2000 WAS
477,441. LET “X” REPRESENT THE YEAR AFTER 1990 AND “F(X)”
REPRESENT THE NUMBER OF PEOPLE IN AUGUSTA “X” YEARS
AFTER 1990.
• a) What is the rate of change of
the population per year?
• b) If the rate of change remains
the same, what is the expected
population in 2010?
15. IF K(X) = 5 X + 3, THEN K(2 A – 1) =
• a. 2 ak – k
• b. 10 a – 2
• c. 10 a + 2
16. A SQUARE HAS SIDE LENGTHS OF
(2 – 11 + 13X) AND (11 – X + 4X).
•What is the perimeter of the
square?
17.
You are running a concession stand at the
basketball game. You sell hot dogs for $1 and
sodas for $.50. At the end of the night, you
made $200. Let x represent the number of hot
dogs sold and y represent the number of sodas
sold.
A)Write an equation that represents this
situtation.
18.
John is an insurance salesman who works on
commission. Each time he gets a new client who
purchases car insurance, he earns $100 in
commission. Each time he gets a client who
purchases homeowners insurance, he earns $50
in commission. Let x represent the number of
clients who purchase car insurance and let y
represent the number of clients who purchase
homeowners insurance. Write an equation that
you could use to find out how many clients, for
each type of insurance, John would need to
earn $3000 in commission.
A)Write an equation that represents this
situtation.
19. SOLVE
5
x 1

12
4
20. ASSUME THAT THE SALES OF A CERTAIN APPLIANCE DEALER ARE
APPROXIMATED BY A LINEAR FUNCTION. SUPPOSE THAT SALES
WERE $13,500 IN 1982 AND $65,500 IN 1987. LET X = 0 REPRESENT 1982
• a) What x-value represents 1987?
• b) Find the equation giving yearly
sales.
21.GREEN GLASS RECYCLING USES THE FUNCTION GIVEN BY
F(T) = -5000T + 90,000 TO DETERMINE THE SALVAGE VALUE IN
DOLLARS OF A WASTE REMOVAL TRUCK T YEARS AFTER IT HAS
BEEN PUT INTO USE.
• a) What does F(T) mean?
• b) What does t mean?
• c) What does 90,000 mean?
• d) What does -5000 mean?
• e) What is the salvage value of the truck after it has been in operation for
6 years?
• f) How many years can the truck be used before the salvage value of the
truck is $25,000?
• g) When is the value of the truck $0?
• h) What is the value of the truck at time of purchase?
22. THE MATHEMATICAL MODEL C(X) = 450X + 25,000
REPRESENTS THE COST IN DOLLARS A COMPANY HAS IN
MANUFACTURING
“X” COMPUTERS DURING A MONTH. BASED ON THIS:
• a) How much does it cost the company if no computers are
made a certain month?
• b) How many computers can be made for $115,000 in a
certain month?
• c) How much will it cost the company during a month where
350 computers are made?
• d) What does the 25,000 represent?
• e) What does the 450 represent?
• f) What does x and C(x) represent?
23. IT IS ESTIMATED THAT THERE WERE C(X) = 2.4X + 24
MILLION HOMES IN THE U.S. WITH COMPUTERS FROM 1991 TO
2005.
IF “X” REPRESENTS THE YEARS AFTER 1991, FIND THE
FOLLOWING:
• a) What value of “x” represents 2000?
• b) Find the estimated number of
computers in U.S. homes in the year
2000.
• c) In what year is it estimated that
there are 50 million computers in U.S.
homes?
24. DETERMINE THE DOMAIN AND RANGE FOR
THE FOLLOWING EQUATION. 2 X+ 3 Y = 6
• a. domain = {2} and range = {3}
• b. domain = {all real numbers} and range = {all real
numbers}
• c. domain and rage cannot be determined
25. SOLVE
7 x  (2 x  1)  7  ( x  4)
26. IF F = {(1, 3),(2, 1),(3, 2),(4, 0)}, THEN WHICH OF
THE FOLLOWING STATEMENTS IS FALSE?
• a. f(1) = 3
• b. domain of f = {1, 2, 3, 4}
• c. f(1) = 2
28.Which is true?
a. domain = { x: x ≤ 5} and range = { y: y ≥ –5}
b. range = { y: y ≤ 5} and domain = { x: x ≥ –5}
c. domain = {all real numbers} and range = {all real
numbers}
29. SLOPE AND RATE OF CHANGE (M), …
• Special Cases
• Vertical lines like x = 4
A. What is the SLOPE?
• Horizontal lines line y = 4
B. What is the SLOPE?
3, Ac2A
30.M AND B IN A LINEAR FUNCTIONFILL IN THE BLANK (THEN….TAKS_TUTORIAL - A VERY GOOD
TEACHER\9TH GRADE\9TH GRADE\OBJECTIVE 3\OBJECTIVE 3
POWERPOINT.PPT
• Changes to m, the slope of a
line, effect its_________
• Changes to b, the y
intercept of a line,
effect its__________
y=1-4
3, Ac2C
31. WHAT IS X?
•The quotient of x and a
number 12 is negative
sixty.
32. HOW BIG IS THE SHADOW OF THE
TREE?
• A tree is 6 feet tall and casts a shadow
that is x feet long. A light pole is 14
feet tall casts a shadow that is x+20
feet long.
33. TRANSLATE THE STATEMENT
• Four less than the quotient of ten
and x is twenty.
34. FIND THE LENGTH.
•The perimeter of a rectangle
is 120 cm and the width is 28
cm.
35. FIND THE DIMENSIONS.
•The length of a rectangle is 5
cm more than its width. The
perimeter of the rectangle is
26.
36. HOW FAST DID JACK DRIVE?
•Jack drove 62 miles per
hour for 8 hours.
37. HOW FAR DID RACHEL GO?
•Rachel drove 378 miles
for 7 hours.
38. SOLVE FOR Y
•2𝑥 − 𝑦 = 8.
39. SOLVE FOR X
•2𝑥 − 𝑦 = 8.
40. SOLVE FOR L
•𝑃 = 2𝑙 + 2𝑤.
41. SOLVE FOR W
•𝐴 = 𝑙𝑤.
42. In the equation
𝑎
+ 5 = 12, what is
𝑏
the value of
𝑎
𝑏
?
43. WHAT IS THE X AND Y INTERCEPTS?
44. VERTICAL LINES
• Draw it.
• Identify the slope.
• What does the equation look
like?
• Is it a function
45. HORIZONTAL LINES
• Draw it.
• Identify the slope.
• What does the equation look
like?
• Is it a function
46. WHAT WILL
HAPPEN IF THE
SLOPE IS
DOUBLED?
a.
It will move up 2 units.
b.
It will move down 2
units.
c.
It will become
steeper.
d.
It will become less
steep.
47. WHAT WILL
HAPPEN IF THE
SLOPE IS
HALVED?
a.
It will move up 2 units.
b.
It will move down 2
units.
c.
It will become
steeper.
d.
It will become less
steep.
48. WHAT WILL
HAPPEN IF THE
YINTERCEPT IS
CHANGED -1?
a.
It will move up 2 units.
b.
It will move down 2
units.
c.
It will become
steeper.
d.
It will become less
steep.
49. WHAT WILL
HAPPEN IF THE
YINTERCEPT IS
CHANGED -5?
a.
It will move up 2 units.
b.
It will move down 2
units.
c.
It will become
steeper.
d.
It will become less
steep.
50.
WHAT IS
THE VALUE
OF Y WHEN
𝑥 = 2?
50.
WHAT IS
THE VALUE
OF X WHEN
𝑦 = 1?
51. SOLVE
•5 − 𝑥 = 12
52.ARE THE FOLLOWING SETS OF EXPRESSIONS
EQUIVALENT OR NOT EQUIVALENT AND EXPLAIN
YOUR REASONING.
A πr2 and 2πr
B. 2(l + w) and 2l + 2w
C. lwh and hwl
1
2
D. 𝑏ℎ 𝑎𝑛𝑑
𝑏ℎ
2
E. d = rt and 𝑟 =
𝑡
𝑑
53. CIRCLE ALL STATEMENTS THAT CAN BE
REPRESENTED BY THE EXPRESSION A + B.
A.
the difference of a and b
B. b more than a
C. sum of a and b
D. a is more than b
E. a more than b
F.
the product of a and b
G. b is more than a
H. a plus b
•
54. WHO DID IT CORRECTLY? .
•
Carl solved it this way…
Billy solved it this way…
2 3𝑥 + 8 − 𝑥 = 7𝑥 + 4
Step 1
2 3𝑥 + 8 − 𝑥 = 7𝑥 + 4
Step 1
2 3𝑥 + 8 = 8𝑥 + 4
Step 2
6𝑥 + 16 − 𝑥 = 7𝑥 + 4
Step 2
3𝑥 + 8 = 4𝑥 + 2
Step 3
5𝑥 + 16 = 7𝑥 + 4
Step 3
8=𝑥+2
Step 4
−2𝑥 + 16 = 4
Step 4
6=𝑥
−2𝑥 = −12
Step 5
𝑥=6
55.
56.
57.
58. GIVEN THE SLOPE ABOVE, WHICH OF THE FOLLOWING
VALUES FOR X WOULD RESULT IN AN UNDEFINED SLOPE?
1
𝑚=
𝑥+2
•
•
•
•
•
(A) -2
(B) -1
(C) 0
(D) 1
(E) 2
59. JOSEPH BEGAN WITH $250 IN HIS ACCOUNT. HE IS SPENDING AN AVERAGE
OF $2 PER WEEK. WHICH OF THE FOLLOWING EQUATIONS DESCRIBES THE
REALTIONSHIP BETWEEN THE AMOUNT OF MONEY IN HIS ACCOUNT, M , AND
THE NUMBER OF MONTHS, N, SHE HAS BEEN SPENDING?
• (A) 𝑚 = 2𝑛 − 250
• (B) 𝑛 = 250 − 2
• (C) 𝑛 = 250 − 2𝑚
• (D) 𝑚 = 250 − 2𝑛
• (E) m= 2𝑛 + 250
•
60. WHICH OF THE FOLLOWING EQUATIONS HAS
Y-INTERCEPT OF 4 AND X-INTERCEPT OF 4?
• (A) 4𝑥 − 4𝑦 = 4
• (B) 4𝑥 + 4𝑦 = −4
• (C) −𝑥 + 𝑦 = 4
• (D) 𝑥 − 𝑦 = 4
• (E) 𝑥 + 𝑦 = 4
61. IF −16, 𝑦 IS THE SOLUTION TO THE EQUATION
3𝑥 − 8𝑦 − 24 = 0,WHAT IS THE VALUE OF Y?
• (A) 9
• (B) 16
• (C) −16
• (D) −9
• (E)
3
8
3
62. THE ORIGINAL FUNCTION 𝑦 = − 𝑥 + 8 IS GRAPHED
5
2
ON THE SAME GRID AS THE NEW FUNCTION 𝑦 = 5 𝑥 + 8. WHICH OF
THE FOLLOWING STATEMENTS ABOUT THESE GRAPHS IS TRUE?
• (A)𝐓𝐡𝐞 𝐠𝐫𝐚𝐩𝐡 𝐨𝐟 𝐭𝐡𝐞 𝐨𝐫𝐢𝐠𝐢𝐧𝐚𝐥 𝐟𝐮𝐜𝐧𝐧𝐢𝐨𝐧 𝐢𝐬 𝐥𝐞𝐬𝐬 𝐬𝐭𝐞𝐞𝐩 𝐭𝐡𝐚𝐧
• 𝐭𝐡𝐞 𝐭𝐡𝐞 𝐠𝐫𝐚𝐩𝐡 𝐨𝐟 𝐭𝐡𝐞 𝐧𝐞𝐰 𝐟𝐮𝐧𝐜𝐭𝐢𝐨𝐧
• (B) 𝐓𝐡𝐞 𝐠𝐫𝐚𝐩𝐡 𝐨𝐟 𝐭𝐡𝐞 𝐨𝐫𝐢𝐠𝐢𝐧𝐚𝐥 𝐟𝐮𝐜𝐧𝐧𝐢𝐨𝐧 𝐢𝐬 𝐩𝐚𝐫𝐚𝐥𝐥𝐞𝐥
• 𝐭𝐡𝐚𝐧 𝐭𝐡𝐞 𝐭𝐡𝐞 𝐠𝐫𝐚𝐩𝐡 𝐨𝐟 𝐭𝐡𝐞 𝐧𝐞𝐰 𝐟𝐮𝐧𝐜𝐭𝐢𝐨𝐧
• (C)The graphs intersect at (𝟖, 𝟎)
• (D)The graphs intersect at (𝟎, 𝟖)
63.. WHEN THE DEPENDENT VARIABLE INCREASES WHEN
THE INDEPENDENT VARIABLE INCREASES, THE RATE OF
CHANGE IS
• A) Positive
• B) Negative
• C) 0
• D) Undefined
64.WHEN THE DEPENDENT VARIABLE STAYS THE
SAME AS THE INDEPENDENT VARIABLE INCREASES,
THE RATE OF CHANGE IS
• A) Positive
• B) Negative
• C) 0
• D) Undefined
65.WHEN THE DEPENDENT VARIABLE DECREASES AS
THE INDEPENDENT VARIABLE INCREASE, THE RATE
OF CHANGE IS
• A) Positive
• B) Negative
• C) 0
• D) Undefined
66.WHEN THE DEPENDENT VARIABLE INCREASE AS
THE INDEPENDENT VARIABLE STAYS THE SAME, THE
RATE OF CHANGE IS
• A) Positive
• B) Negative
• C) 0
• D) Undefined
67.WHEN THE DEPENDENT VARIABLE INCREASE AS
THE INDEPENDENT VARIABLE STAYS THE SAME, THE
RATE OF CHANGE IS
• A) Positive
• B) Negative
• C) 0
• D) Undefined
68. WHO IS
DRIVING THE
SLOWEST?
a. Purple
b. Red
c. Orange
69. WHO IS
DRIVING THE
FASTEST?
a. Purple
b. Red
c. Orange
70. IF 𝑥, −5 IS THE SOLUTION TO THE EQUATION
𝑥 − 𝑦 = 12,WHAT IS THE VALUE OF X?
• (A) 12
• (B) 17
• (C) −17
• (D) −7
• (E) 7
• (F) 1
• (G) −1
71. SOLVE
Rebecca bought some apples for $0.50 per pound
and some oranges for $0.75 per pound. She bought
a total of 10 pounds of fruit and spent a total of $5.25.
How many pounds of apples and oranges did she
buy?
72. ALEXIS PURCHASED TWO COLORS OF WILD FLOWERS. THE BLUE FLOWERS COST $1 FOR EACH
PACKAGE AND THE PINK FLOWERS COST $2 FOR EACH PACKAGE. HOW MANY PACKAGES OF
EACH FLOWER DID ALEXIS BUY IF SHE PAID $14 FOR A TOTAL OF 9 PACKAGES OF WILDFLOWERS.
WHICH SYSTEM OF LINEAR EQUATIONS CAN BE USED TO FIND B, THE NUMBER OF BLUE FLOWERS
SOLD AND P, THE NUMBER OF PINK FLOWERS SOLD?
A)
C)
𝑏+𝑝=9
2𝑏 + 1𝑝 = 14
𝑏 + 𝑝 = 14
𝑏 + 2𝑝 = 9
B) 𝑏 + 𝑝 = 14
D)
2𝑏 + 1𝑝 = 9
𝑏+𝑝=9
𝑏 + 2𝑝 = 14
73. SOLVE
You are in charge of buying the hamburger and
chicken for a party. You have $60 to spend. The
hamburger costs $2 per pound and chicken is $3 per
pound. If you buy 15 pounds of hamburger, how
many pounds of chicken can you buy?
74. WHAT IS
THE DOMAIN?
a.
b.
c.
d.
𝑦≥2
𝑥≥2
𝑦≥0
𝑥≥0
75. WHAT IS
THE RANGE?
a.
b.
c.
d.
𝑦≥2
𝑥≥2
𝑦≥0
𝑥≥0
76. WHAT IS
THE RANGE?
a.
b.
c.
d.
e.
𝑦≥2
𝑥≥2
𝑦≥0
𝑥≥0
All reals
77. What is the Range?
a.
b.
c.
d.
e.
f.
g.
h.
i.
4≥ 𝑥 ≥ 0
4≥𝑦≥0
−1 ≤ 𝑥 ≤ 6
-1 ≤ 𝑦 ≤ 6
4≤𝑥≤0
4≤𝑦≤0
−1 ≥ 𝑥 ≥ 6
−1 ≥ 𝑦 ≥ 6
All reals
78. What is the Domain?
a.
b.
c.
d.
e.
f.
g.
h.
i.
4≥ 𝑥 ≥ 0
4≥𝑦≥0
−1 ≤ 𝑥 ≤ 6
-1 ≤ 𝑦 ≤ 6
4≤𝑥≤0
4≤𝑦≤0
−1 ≥ 𝑥 ≥ 6
−1 ≥ 𝑦 ≥ 6
All reals
79. What is the Domain?
a.
b.
c.
d.
e.
f.
g.
h.
i.
4≥ 𝑥 ≥ 0
4≥𝑦≥0
−1 ≤ 𝑥 ≤ 6
-1 ≤ 𝑦 ≤ 6
4≤𝑥≤0
4≤𝑦≤0
−1 ≥ 𝑥 ≥ 6
−1 ≥ 𝑦 ≥ 6
All reals
80.
•If 𝟓𝒌, 𝟔𝒌 𝒂𝒏𝒅 (𝟗𝒌, 𝟐𝒌)are
two points on the graph of
a line and k is not equal
to 0, what is the slope of
the line?
81THE SALES TAX RATE AT A GAS STORE IS 9.25 %. SALES TAX ON
AN ITEM IS A FUNCTION OF ITS PRICE. WHICH OF THE FOLLOWING
IS THE INDEPENDENT AND DEPENDENT QUANTITY IN THIS
FUNCTION
.
• A. Dependent: The sales tax rate on the item
Independent: The items price
•
• B. Not here
•
• C. Dependent: The items price
Independent:
The sales tax rate on the item
•
• D. Dependent: The amount of sales tax on the item
Independent: The items price
•
• E. Dependent: The items price Independent: The
amount of sales tax on the item
82WHICH OF THE FOLLOWING ARE
FUNCTIONS?.
{(-2,7), (-1,7), (0,3), (1,1), (2,1)}
{(-3,7), (-5,7), (-3,3), (6,1),
(8,1)}
D 2
o
m
a
i
n
R 5
a
n
g
e
3
6
2
7
9
11
83.
If −𝒌, 𝒌 𝒂𝒏𝒅 (−𝟔𝒌, 𝟒𝒌 )
are two points on the
graph of a line and k is not
equal to 0, what is the
slope of the line?
𝟐
𝟐
84.
In the quadratic equation 𝒙 −
𝒙 + 𝒄 = 𝟎, c represents an
unknown constant. If 𝒙 = −𝟒 is
one of the solutions to this
equation, what is the value of
c?
𝟐
85. A PHONE COMPANY IS PROMOTING A NEW CELL PHONE SERVICE PLAN: A
CUSTOMER CAN MAKE UP TO 600 MINUTE OF CALLS EACH MONTH FOR 49.99. IF
THE NUMBER OF MINUTES USED IN A MONTH EXCEEDS 600, THEN THE FUNCTION
𝒄 = 𝟎. 𝟑𝟎 𝒎 − 𝟔𝟎𝟎 + 𝟒𝟗. 𝟗𝟗.
• a. If the total number of minutes used is more
than 600, then every minute used costs 30cents.
• b. The first 600 minutes used cost 40 cents
each, after which there is an additional charge
of $49.99.
• c. Not here
• d. If the total number of minutes used is more
than 600, then every minute beyond 600 costs
30 cents.
• e. Every minute used costs 30 cents each,
regardless of the total number of minutes used.
86.
If −𝒌, 𝟒𝒌 𝒂𝒏𝒅 (−𝟔𝒌, 𝟒𝒌)
are two points on the
graph of a line and k is not
equal to 0, what is the
slope of the line
87.WHICH OF THE FOLLOWING IS NOT A CORRECT
DESCRIPTION OF THE GRAPH OF THE FUNCTION 𝒚 =
− 𝟓𝒙 − 𝟐.
• a. The graph of the function contains the point −1,3 and when
the value of x increases by 1 unit, the value of y decreases by 5
units.
• b. The graph of the function contains the points
−5,23 , 2, −12 𝑎𝑛𝑑 5, −27 .
• c. The graph of the function is a line that passes through the
point 0, −2 with a slope of −5.
• d. The graph of the function contains the point (2, −12) and
when the value of x decreases by 5 units, y decreases by 25.
• e. The graph of the function contains the point (2, −12) and
when the value of x decreases by 5 units, y increases by 25.
88. THE SUM OF THE PERIMETERS OF TWO DIFFERENT SQUARES IS 52 CENTIMETERS,
AND THE DIFFERENCE BETWEEN THEIR PERIMETERS IS 18 CENTIMETERS. IF X
REPRESENTS THE SIDE LENGTH OF THE LARGER SQUARE AND Y REPRESENTS THE SIDE
LENGTH OF THE SMALLER SQUARE, WHICH OF THE FOLLOWING SYSTEMS OF
EQUATIONS COULD BE USED TO FIND THE DIMENSIONS OF THE SQUARES.
a.
𝑥 + 𝑦 = 52
𝑥 − 𝑦 = 18
b. 4𝑥 + 4𝑦 = 52
4𝑥 − 4𝑦 = 18
c.
2𝑥 + 2𝑦 = 52
2𝑦 − 2𝑥 = 18
d. 4𝑥 + 4𝑦 = 18
4𝑥 − 4𝑦 = 52
Some values of two linear equations are shown below. What is
the solution to the system of equations represented by the
tables?
x
a)
2,19
b) (5,25)
c)
0,15
d) 𝑛𝑜 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛
e) Infinitely many
solutions
y
-2 11
2
19
5
25
8
31
x
y
-4 27
-1 18
1 12
2
9
90 THE GRAPH OF A QUADRATIC FUNCTION IS
SHOWN BELOW.
.
Which statement about this graph is not true?
•
a)
b)
c)
d)
The quadratic has two solutions and two zeros
The vertex is at ( 0, -6 ) and is the shape of a parabola
The y-axis is the line of symmetry
The quadratic has one root and has a y-intercept at ( 0, 5 )
91. WHAT IS THE BEST ESTIMATE OF THE POSITIVE
VALUE OF X FOR WHICH THIS FUNCTION EQUAL
2?
a)
b)
c)
d)
0
3
-2
2
92.
In the quadratic equation 𝒙 −
𝒙 + 𝒄 = 𝟎, c represents an
unknown constant. If 𝒙 = −𝟓 is
one of the solutions to this
equation, what is the value of
c?
𝟐
93. A POPULATION OF 1400 DEER DECREASES BY 2.5 % PER YEAR. AT THE
END OF 15 YEARS, THERE WILL BE APPROXIMATELY 958 DEER IN THE
POPULATION. WHICH FUNCTION CAN BE USED TO DETERMINE THE
NUMBER OF DEER, Y, IN THIS POPULATION AT THE END OF T YEARS?.
𝑥
•A. 𝑦 = 1400(1 + .025)
𝑥
•B. 𝑦 = 1400(1 − 2.5)
𝑥
•C. 𝑦 = 1400(.025)
𝑥
•D. 𝑦 = 1400(1 − .025)
Some values of two linear equations are shown below. What is
the solution to the system of equations represented by the
tables?
x
a)
2,19
b) (5,25)
c)
0,15
d) 𝑛𝑜 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛
e) Infinitely many
solutions
y
-2 - 1
2
11
5
20
8
29
x
y
-4 -20
0 -8
1 -5
2
-2
Some values of two linear equations are shown below. What is
the solution to the system of equations represented by the
tables?
x
a)
2,19
b) (5,25)
c)
0,15
d) 𝑛𝑜 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛
e) Infinitely many
solutions
y
-2 - 1
2
11
5
20
8
29
x
y
-4 -7
0 5
1 8
2
11
96.
In the quadratic equation 𝒙 −
𝒙 + 𝒄 = 𝟎, c represents an
unknown constant. If 𝒙 = 𝟐 is
one of the solutions to this
equation, what is the value of
c?
𝟐