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WorksheetsExtra Credit Math 1
Total questions: 150
Worksheet time: 9hrs 59mins
3(x+2) = 15
13
7
4.33333
3
What is the solution to the equation -4x-14=6?
5
2
-5
24
Solve for a:
5a−4=3
a=19
a=11
a= 53
a= 523
Solve:
7+3a=5
a=−2
a=−6
a=3
a=15
−2v + v = 3
4
−5
−3
5
x+2+6=8
0
14
8
4
What value of k makes the equation 10k−7=7k−15 true?
k=38
k=−38
k=322
k=−322
If 7p+9−p=4p−2 , what is the value of p?
−211
−27
211
27
Solve the inequality.
−5x − 7 < 28
x > -7
x < -7
x > 521
x < 5−21
Solve the inequality.
2(b − 8) > 12
b > 20
b > 6
b > 14
b > 20
Solve the inequality.
−4d − 9 ≤ 3
d ≥ 136
d ≥ 133
d ≥ −121
d ≥ −3
-3x ≥ 12
3x ≥ 12
6 + 2h > 30
h < 24
18 > h
h > 12
h < -12
7k – 2 ≥ -9
2k - 9≤ -19
5 ≥ x
which equation best represents this graph?
y < 1/2x + 1
y < 1/2x + 2
y >1/2x + 2
y > 2x
Identify the inequality.
y > x+1
y ≤ 1x+1
y ≥ x+1
y ≤ x-1
Which inequality is graphed on the given coordinate plane?
y ≤ -x + 1
y < x + 1
y ≥ -x + 1
Which inequality represents the graph?
x ≤ -2
x + 2y ≤ 6
y ≤ -2x
y < -2
When graphing y≥32x−1 , the boundary line is
solid
dotted
How many solutions?
3x + 2y = 16
7x + y = 19
x - 2y = 8
x + 2y = -2
-x + y = -13
-8x - 4y = -8
Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?
4x + 6y = 3
13.5x - 13y = 6
x + y = 4
x - y = 6
4x + 6y = 13
3x + 7y = 13.5
4x - 6y = 13
3x - 7y = 13.5
y < x + 4
y ≥ x + 4
y ≥ x + 4
y ≥ x + 3
what is the resulting combined equation for the system below?
9x + y = 12
-9x + y = 6
-18x = 18
y = 18
2y= 18
18x + 2y = 18
what does the top equation need to be multiplied by to create a zero pair?
2x - 6y = 20
2x + 5y = -11
-1
1
-2
2
A boy has seven more nickels than quarters. The total value of the coins is $4.90. Which system could be used to find out how many nickels and quarters he has?
What is the y-coordinate to the system of equations below?
-4x + y = 4
4x - 3y = 12
y=3
y=8
y=-3
y=-8
A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.
Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?
4y = 3x + 64
8y = x + 68
4y = 3x + 64
8y = x + 60
3x + 4y = 64
x + 8y = 68
3x + 4y = 64
x + 8y = 60
2x + 4y = 450
2x + 4y = 315
3x + 4y = 450
5c + 10d = 16.50
5c + 10d = 14.25
5c + 10d = 16.50
5c + 10d = 16.50
.10d + .05n = 80
d + n = 6.60
.10d + .05n = 6.60
.05d + .10n = 6.60
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
x + y = 1550
y = 4x
x + y = 1550
y = x + 4
y - x = 1550
y = 4x
y = 1550 + x
y = x + 4
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?
1s + 3c = 38
2s + 3c = 52
3s + 1c = 38
3s + 2c = 52
s + c = 38
s + c = 52
3s + 3c = 38
1s + 2c = 52
m: # of glasses of milk
m: Cost of each glass of milk
m: # of food items
m: Cost of each taco
20x + 50y = 49
10x + 5y = 1430
20x + 50y = 1430
x + y = 1430
14.80x + 17y = 91
14.80x + 17y = 6
14.80y + 17x = 91
14.80x+ 17y = 6
3S + 4A = 1740
4S + 3A = 1740
3S + 4A = 530
4S + 3A = 530
13.5x - 13y = 6
x - y = 6
3x + 7y = 13.5
3x - 7y = 13.5
Oatmeal Cookies $3
Oatmeal Cookies $8
Oatmeal Cookies $6
Oatmeal Cookies $6
t = 3n + 8
n = 3t + 8
t = 3n - 8
t = 3n + 54
x2 + 5x - 24
Factor:
x2 + 11x + 24
(x + 6)(x + 4)
(x + 12)(x + 2)
(x - 8)(x - 3)
(x + 8)(x + 3)
3v2 - 8v + 5
(3v + 5)(v - 1)
(3v - 5)(v + 1)
(3v - 5)(v - 1)
(3v + 5)(v + 1)
x2 - 25
25x2 - 100y2
Factor 4x2 - 81
(4x - 9)(x + 9)
(2x - 9)(2x + 9)
(2x - 9)(2x - 9)
(4x - 1)(x + 81)
Factor
k2+7k+10 .(k+2)(k−5)
(k+2)(k+5)
(k+10)(k+4)
(k−2)(k−5)
Factor k2−2k−24
(k−4)(k+6)
(k+4)(k+6)
(k+6)(k−1)
(k+4)(k−6)
Factor the quadratic expression:
2b2 + 17b + 21
(b + 1)(b + 2)
(b + 3)(b + 7)
(2b + 3)(b + 7)
(7b + 3)(2b + 1)
What is the domain of the function shown?
All real numbers
y>0
All real numbers greater than 1
y<0
What is the range of the function shown?
All real numbers
y>0
All real numbers greater than 1
y<0
Is the following function and example of decay or growth?
f(x)=2(0.85)x
Exponential Decay
Exponential Growth
What type of function is f(x)=3 • 5−x ?
Which represents exponential decay?
A
B
C
D
Is the population of elephants increasing or decreasing?
Is the pictured graph increasing, decreasing, or neither?
Increasing
Decreasing
Neither
True or False: This is an exponential function.
True
False
True or False: This is an exponential function.
True
False
What is the initial value of the situation represented by f(x)=0.05(2)x?
0.05
2
0.1
1
Which variable represents time passed in the function y=abx?
y
a
b
x
This is the horizontal line which the values of the function cannot fall below :
Asymptote
Growth Factor
Axis of symmetry
Curve
Bacteria growing can be represented by which of the following?
Exponential Growth
Exponential Decay
Is the following function an example of decay or growth?
f(x) = 2(1.25)x
Exponential Growth
Exponential Decay
Which function will show exponential behavior?
F(x) = (4.3)x
or
G(x) = 4.3x + 9
Jack wants to know how high the soccer ball will get if he kicks it straight up in the air.
Which one are we looking for?
a. x at vertex
b. y at vertex
c. positive zero
x at vertex
y at vertex
positive zero
Lily wants to know how long her toy rocket will be in the air after she lights the fuse to launch it from a 1.5-foot launch pad.
Which one are we looking for?
a. x at vertex
b. y at vertex
c. positive zero
x at vertex
y at vertex
positive zero
Nancy is trying to find how many seconds it will take a golf ball to get to its highest point after being hit on the golf course.
Which one are we looking for?
a. x at vertex
b. y at vertex
c. positive zero
x at vertex
y at vertex
positive zero
Bill is wondering how long it will take a football to hit the ground after Tom Brady throws it during practice.
Which one are we looking for?
a. x at vertex
b. y at vertex
c. positive zero
x at vertex
y at vertex
positive zero
Sally threw a ball in the air. Sally’s friend wanted to find out how high the ball got given that it took 1 second to get to its highest point.
Which one are we looking for?
a. x at vertex
b. y at vertex
c. positive zero
x at vertex
y at vertex
positive zero
Ray found the maximum height of a basketball thrown from half court to be 21 feet and wants to know how long it took to get there.
Which one are we looking for?
a. x at vertex
b. y at vertex
c. positive zero
x at vertex
y at vertex
positive zero
The height of a water balloon that is launched into the air is given by h(t) = -5t2 + 40t + 2. From what height was the balloon released?
2 meters
5 meters
40 meters
20 meters
The height of a water balloon that is launched into the air is given by h(t) = -5x2+20x+25. When will the balloon explode on the ground?
5 seconds
1 second
2 seconds
3 seconds
Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.
h = -5t2 + 45
When is the ball at ground level?
only at t = 0 seconds
only at t = 3 seconds
only at t = 9 seconds
at both t = 0 seconds and t = 3 seconds
A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :
h(t) = -16t2 + 40t + 10
How many seconds does it take the ball to reach its maximum height?
1.25 seconds
1.4 seconds
2.5 seconds
2 seconds
Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:
h = -16t2 + 80
About how long did it take for the balloon to hit the ground?
1.73 seconds
2.24 seconds
2.45 seconds
2.83 seconds
The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function:
p= -15x2 +600x +60
What is the maximum profit you can make from selling tickets?
$6060
$20
$600
$10,250
You jump off a 24 foot high cliff and your fall is modeled by the function:
h(t) = -16t2 + 8t + 24
When would you reach 16 feet above the water?
8 seconds
1 second
1/2 second
1/4 second
A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t2 + 8t + 24
How high is the platform?
.25 ft
24 ft
25 ft
8 ft
12,10,10,10,13,12,11,13,10
2, 57, 38, 42, 6
12, 5, 9, 18, 22, 25, 5
8, 14, 32, 6, 15
1,0,1,5,6,3,4
5, 0, 9, 9, 3, 0, 5, 5, 4
28, 18, 19, 18, 17
Find the mode of this data set:
67, 74, 95, 98, 98, 99, 102
90.4
35
92
98
The temperature in Michigan City on this date in the last ten years were: 68, 68, 69, 70, 72, 70, 68, 75, 55, 67. What is the mean temperature on this date over the last ten years? (Round to nearest whole number.)
60
61
68
69
What does point C on the box plot represent?
First Quartile
Median
Third Quartile
Mean
What do points B and D represent on the box plot?
Mean and Mode
Mean and Median
Least and Greatest Value
First and Third Quartiles
What do points A and E represent on the box plot?
Mean and Mode
Mean and Median
Least and Greatest Value
First and Third Quartiles
What is the median of this data set?
8
12
15
19
What is the least and greatest value of this data set?
6 and 8
6 and 19
8 and 15
15 and 19
What is the range of this data set?
6
12
13
19
What is the upper quartile of the set of data; 2, 4, 6, 6, 7, 8, 10
4
6
8
2
What is the median of this set of data?
8
4
5.5
15
Which statement is true?
Airplane A has a lesser median
Airplane B has a greater range
Airplane A has a less predictable flight length
Airplane B a lesser IQR
Find First quartile Q1
20
30
35
45
Find the equation of the line of best fit for the given data
y = 163.41x+1.49
y =- 163.41x+ 4.19
y =- 4.19x+163.41
y = 4.19x -163.41
Which sentence describes the relationship shown on this scatter plot?
As the temperature decreases, the visitors increase.
As the temperature increases, the number of visitors increases.
As the visitors increase, the temperature decreases.
No correlation
y = 23 x + 12
y = 12x + 23
y = 32 x - 8
y = -8x + 32
The linear model to represent the distance (in miles) traveled given the time (in hours) driving is
m=−1.79+61.93h . Predict how far a person will travel driving 10 hours.617.51 miles
621.09 miles
100 miles
0.19 miles
Write the linear regression equation for the following data points. Round to the nearest hundredth.
y=−0.83x+0.61
y=−0.83x+0.63
y=0.83x+−0.8
a2+b2=c2
