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WorksheetsEOC Review
Total questions: 52
Worksheet time: 2hrs 45mins
Name
Class
Date
1.
Is the solution below correct?
5d = 2d - 18
-2d -2d
3d = -18
d = 6
5d = 2d - 18
-2d -2d
3d = -18
d = 6
a)
Yes
b)
No
2.
Solve for the indicated variable.
a)
A = l/w
b)
w = l/A
c)
w = A
d)
w = A/l
3.
What is the slope a horizontal line?
a)
-1
b)
undefined
c)
1
d)
0
4.
Give the solution to the system
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
a hoppy hippo
5.
Which equation matches the graph?
a)
y = 2x + 3
b)
y = -3
c)
y = 2x - 3
d)
y = -3x + 2
6.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
7.
Find the product.
(m-8)(m-9)
(m-8)(m-9)
a)
m2-17m+72
b)
m2-17m-72
8.
A cup is filled with 100 ml of water. Every second, 2 ml of water are poured out of the cup. Which function shows the amount of water in the cup after t seconds?
a)
w(t) = 100 + 2t
b)
w(t) = 100 - 2t
9.
Factor the following polynomial:
x2+5x+6
x2+5x+6
a)
(x+6)(x+1)
b)
(x+3)(x+2)
10.
What is the shape of this data?
a)
Negatively Skewed
b)
Positively Skewed
c)
Normal Distribution
d)
Paranormal Distribution
11.
Carlos is working at the grocery store at $10.50 an hour to earn money for tuition. So far he has saved $450. Tuition is due soon and will cost at least $980. Let x be the number of hours that Carlos spends working. Write an inequality that could be used to find x.
a)
10.5x-980<450
b)
10.5x+980>450
c)
10.5x+450>980
d)
10.5x-450>980
12.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
13.
What is another name for the x-intercepts of a quadratic?
a)
y-intercept
b)
Zeros
c)
x-axis
d)
They don't have another name
14.
Which is a zero of the graph?
a)
0
b)
-1
c)
1.5
d)
-3
15.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
16.
What is the balance of $6000 compounded annually at a rate of 4% for 10 years?
a)
$8,881.47
b)
$7,432.93
c)
$8,400
d)
$6,500
17.
What is the explicit rule for the sequence:
11, 22, 44, 88...
11, 22, 44, 88...
a)
gn = 2(11)n-1
b)
gn = 11x2
c)
gn = 11(2)n-1
d)
gn = 11+(2)n-1
18.
What is the explicit rule for the sequence:
11, 22, 44, 88...
11, 22, 44, 88...
a)
gn = 2(11)n-1
b)
gn = 11x2
c)
gn = 11(2)n-1
d)
gn = 11+(2)n-1
19.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
20.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
21.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
22.
Write the recursive formula for 4, 8, 12...
a)
an=an-1-7
b)
an=an-1-4
c)
an=an-1+3
d)
an=an-1+4
23.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
24.
Is the pictured graph growth, decay, or linear or none?
a)
Growth
b)
Decay
c)
Linear
d)
None
25.
A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?
a)
-5
b)
-.05
c)
.95
d)
.05
26.
Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t2 + 96t. When does the rocket hit the ground?
a)
7 seconds
b)
6 seconds
c)
3 seconds
d)
8 seconds
27.
Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t2 + 96t. When does the maximum height occur?
a)
6 seconds
b)
3 seconds
c)
145 seconds
d)
160 seconds
28.
A ball is thrown vertically into the air. Its height in feet after t seconds is given by the equation h(t) = –5t2 + 20t, and is graphed below. How high will the balloon be after 3 seconds?
a)
20 ft
b)
15 ft
c)
5 ft
d)
10 ft
29.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
30.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
31.
Does this parabola have a maximum or minimum?
a)
maximum
b)
minimum
32.
What is the range of this function?
a)
all real numbers
b)
x > 0
c)
y > -2
d)
x < 6
33.
What is the range of this quadratic function?
a)
x > 0
b)
all real numbers
c)
x < 5
d)
y < 4
34.
What is the vertex of the graph?
a)
(2,4)
b)
(-2,-4)
c)
(4,2)
d)
(-4,-2)
35.
Find the difference.
(3 - 2x + 2x2) - (4x - 5 + 3x2)
(3 - 2x + 2x2) - (4x - 5 + 3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
36.
Simplify the expression.
-3x2( 7x2 - x + 4)
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
37.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
38.
Find the vertex of
f(x) = -x2 - 4x + 12.
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
39.
You and a friend went to Los Tios for lunch. You order 2 tacos and 2 enchiladas. Your friend ordered 3 tacos and 1 enchilada. Your friend's bill was $4.00. You paid $4.80. Let "t" represent the price per taco and "e" represent the price per enchilada.
a)
2t + 2e = 4.80
3t + e = 4.00
3t + e = 4.00
b)
2t + 2e = 4.00
3t + e = 4.80
3t + e = 4.80
c)
2e + 2t = 4.80
3e + t = 4.00
3e + t = 4.00
d)
2e + 2t = 4.00
3e + t = 4.80
3e + t = 4.80
40.
#1) The length of a rectangle is 6 meters more than the width. The area is 72 square meters. Find the length and width.
a)
Length = 6, Width = 12
b)
Length = 18, Width = 4
c)
Length = 12, Width = 6
d)
Length = 4, Width = 6
41.
Factor:
80x5-70x2-60x7
80x5-70x2-60x7
a)
2x2(80x3-70-60x6)
b)
10x2(80x4-70x-60x6)
c)
10x2(8x3-7-6x6)
d)
3x2(80x3-40-60x5)
42.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
43.
Factor
x2 - 5x - 36
x2 - 5x - 36
a)
(x - 4)(x + 9)
b)
(x - 6)(x + 6)
c)
(x + 4)(x - 9)
d)
(x -12)(x + 3)
44.
Factor:
4h² - 17h + 4
4h² - 17h + 4
a)
(2h - 2)²
b)
4(h + 4)(h + 1)
c)
(2h - 2)(2h + 2)
d)
(h - 4)(4h - 1)
45.
The area of a rectangle is (x2 + 17x+42) ft2. If its width is (x + 3) ft. What is its length?
a)
(x + 17) ft
b)
(x + 14) ft
c)
(x - 14) ft
d)
(x - 17) ft
46.
4x2 - 64y2
a)
Prime
b)
( 2x - 32y) (2 x + 32y)
c)
( 2x - 8y) (2 x - 8y)
d)
( 2x - 8y) (2 x + 8y)
47.
What is the range of this function?
a)
(-∞,0)
b)
(0,∞)
c)
(-∞,4)
d)
(4,∞)
48.
Compare f(x) = 3x- 4 with the basic function g(x) = 3x
a)
4 units up
b)
4 units to the left
c)
4 units to the right
d)
4 units down
49.
What kind of transformation is represented?
a)
up 1 unit
b)
left 1 unit
c)
right 1 unit
d)
down 1 unit
50.
Given y=4(x+1) determine the y-intercept
a)
(0,1)
b)
(0,4)
51.
y = 0.25(1.072)x
Select the option that expresses all TRUE statements about this equation.
Select the option that expresses all TRUE statements about this equation.
a)
The equation represents exponential decay and has a percent rate of change of 72% with a starting value of 25 cents
b)
The equation represents exponential growth and has a percent rate of change of 7.2% with a starting value of 0.25
c)
The equation represents exponential growth and has a percent rate of change of 7.2% with a starting value of 25
d)
The equation represents exponential decay and has a percent rate of change of 7.2% with a starting value of 0.25
52.
What is the range of this graph?
a)
y = 6
b)
(0, -4)
c)
y > -6
d)
y < -6
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