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WorksheetsEOC Practice
Total questions: 202
Worksheet time: 16hrs 24mins
What function is equivalent to
y=3(x+2)2+7?y=3x2+122x+33
y=3x2+12x+19
y=3x2+19
y=3x2+33
Which table shows y as a function of x?
F
G
H
J
What is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by y = 1.2x + 3.8?
y=1.2x−6
y=−1.2x+6
y=1.2x+5
y=−1.2x−5
Which value of x is a solution to this equation?
x=−6
x=4
x=−1.8
x=1.2
Which graph best represents
y=10(0.85)x ?F
G
H
J
Which expression is equivalent to
210d2−63d ?21d(10d−3)
21d(10d+3)
21(10d+3)
21(10d−3)
What is the value of x in the solution to this system of equations?
3x−5y=22 and y=−5x+32
−6.5
0.5
6.5
−0.5
The graph of a quadratic function is shown on the grid.
Which function is best represented by the graph?
f(x)=x2−3x−9
f(x)=x2+3x−9
f(x)=x2−6x
f(x)=x2+6x
24x2−22x+5
Which expression is equivalent to the expression above?
(12x+5)(2x+1)
(8x−5)(3x−1)
(12x−5)(2x−1)
(8x+5)(3x+1)
Which graph best represents
y=−x2+6x−1 ?
A
B
C
D
What function is equivalent to
y=3(x+2)2+7?y=3x2+122x+33
y=3x2+12x+19
y=3x2+19
y=3x2+33
Which table shows y as a function of x?
F
G
H
J
What is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by y = 1.2x + 3.8?
y=1.2x−6
y=−1.2x+6
y=1.2x+5
y=−1.2x−5
Which value of x is a solution to this equation?
x=−6
x=4
x=−1.8
x=1.2
Which graph best represents
y=10(0.85)x ?F
G
H
J
Which expression is equivalent to
210d2−63d ?21d(10d−3)
21d(10d+3)
21(10d+3)
21(10d−3)
What is the value of x in the solution to this system of equations?
3x−5y=22 and y=−5x+32
−6.5
0.5
6.5
−0.5
The graph of a quadratic function is shown on the grid.
Which function is best represented by the graph?
f(x)=x2−3x−9
f(x)=x2+3x−9
f(x)=x2−6x
f(x)=x2+6x
24x2−22x+5
Which expression is equivalent to the expression above?
(12x+5)(2x+1)
(8x−5)(3x−1)
(12x−5)(2x−1)
(8x+5)(3x+1)
Which graph best represents
y=−x2+6x−1 ?
A
B
C
D
m - 5 > 10
m is less than 15
m is greater than 5
m is greater than 15
m is less than 5
s + 9 ≥ -25
s ≥ -18
s ≥ -34
s ≤ 18
s ≥ 34
4x - 2 ≤ -22
x ≥ -5
x ≥ -6
x ≤ -6
x ≤ -5
7b - 3 < 11
b < 2
84 > b
b > 2
b < 84
6 - 2h > 30
h < 24
18 > h
h > 12
h < -12
1 + 3r > 10
r < 11
r > 3
27 > r
r > 27
To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.
X < 5
X > 5
X ≥ 5
X ≤ 5
A student must be at least 15 years old to obtain a driver’s permit.
x > 15
x < 15
x ≤ 15
x ≥ 15
To order from the kids menu a person must be no more than 12 years old.
x > 12
x < 12
x ≥ 12
x ≤ 12
Which of the following inequalities would require you to flip the sign when solving?
2x < 3
3x > - 9
-4x ≥ 10
5x ≤ 15
Match the graph with the given solution.
A
B
C
D
Solve and then match the correct solution & graph.
A
B
C
D
A parking garage charges a $2.50 base fee plus an hourly rate of $4.00. If you have at most $12.50 to pay for parking, how long can you park?
$3.40
$2.50
2.5 hours
3.4 hours
When do you "flip the inequalities sign"?
When you add or subtract a negative
When it's a 1-step problem
When you multiply or divide a negative
When it's a 2-step problem
-3x ≤ 18
x ≤ -6
x ≤ 6
x ≥ 6
x ≥ -6
-4x + 14 ≤ 54
x ≥ -10
x ≤ -10
x ≥ 10
x ≤ 10
Match the graph with its inequality. hint: don't be tricked by the variable on the right.
11 < a
11 > a
11 ≤ a
11 ≥ a
x is less than 9
x < 9
x > 9
x ≥ 9
x ≤ 9
3+2c-4c-9+11c
-9c+6
12+3c
9c-6
-12-3c
Solve:
3(x - 2) = 18
6.7
4
8
-4
7x + 19 = -2x + 55
2(2x + 3) = -6(x + 9)
(1, -19) and (-2, -7)
2x2 + 7x - 15 = 0
Simplify:
√48
4√2
6√3
4√3
4√2
Simplify:
4√75
4√5
12√5
20√3
7√3
1) 5 + x = 25
12 is 18 less than nine times a number
3x -9 = 36
-9 -9
___________
3x = 27
divide divide
3 3
x = 9
4(x-9)
3x = 27.
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20
What do you call the math steps you follow (i.e., X, /, +, and - ) when solving a math problem?
expressions
variables
order of operations
Given the function f(x) = 3x−x2 , find f(-2)
10
-10
2
-2
The number of bacteria present in a colony is 180 at noon, and it increases at a rate of 22% per hour. How many bacteria will be present 4 hours later? Use the exponential y=abx
399
450
553
220
Solve the inequality. −2(x−3)>36
x=15
x>−15
x>15
x<−15
No solution
Solve the system of equations:
3x − y = 17
−x + y = −7
4,-2
-7,6
2,5
5,-2
No solution
Consider the sequence 4, 1, -2, -5. What is the 65th term of this sequence?
-188
-110
-55
-204
Simplify: (2w−2)4
2w6
2/w-8
16/w8
2w2
6431 Simplify
262144
8
4
105
What is the equation for the line?
y=-2x-2
y=x+2
y=3x-1
y=2x+3
What is the equation of the line that passes through the points: (2, 9) and (22,-1)
y= -8x
y= -2/3x + 3
y= -1/2x +10
y= -5x + 12
No solution
What is the inequality of the line shown?
y≤−3x−1
y<−31x−1
y<−3x−1
y>−31x −1
Rewrite the following as a sum:
(x+3)2
x2 + 9
x2 -6x -9
x2 + 6
x2 + 6x + 9
Find the vertex of the following quadratic function:
y=x2+6x+5
(-5, 2)
(-3,-4)
(-1,-5)
(3, 1/2)
Find the zeros of the function using the quadratic formula:
y=4x2+14x+6
-3, -1/2
3, 2/3
-4, 2
-5, -2/3
Write the following quadratic in vertex form by completing the square: x2+12x−4
(x+3)2+4
(x−6)2+4
(x−5)2+4
(x+6)2−40
Which point is a solution to the system of inequalities?
y ≤ − x + 4 ,
y > x – 2
0,0
6,2
1,8
-5,-10
Given this function. If the output was 21 what was the input?
-4
8
12
-6
2x4y14x3y2 Simplify:
14yx2y2
14x7y9
x7y
Cannot be simplified
Find the length of x.
9.22
8.35
10.24
8.01
Find the exponential function in the form y=abx where it has a y intercept of (0,2) and a multiplier of .8.
y = 3x(.8)x
y = .8(2)x
y = 2(.8)x
y=1.08(2)x
Shirley starts with $85 in the bank and saves $15 every 2 months. What is the equation for the balance of the account?
y=85x+15
y=15x+7.5
y=15x−85
y=7.5x+85
5x + 1 = x + 9
6(2x + 1) = 18
3(x - 2) = 18
What does "b" represent in y=mx+b?
x-intercept
y - axis
x-intercept
y - axis
Write the equation of the line in slope-intercept form with slope m = 4 through the point (-2, 5).
y = 4x - 13
y = 4x + 13
y = 4x - 3
y = 4x + 3
Given the two points: (0, 6) and (6,18), write the equation of the line.
y = 2x + 6
y = 1/2x + 6
y = 1/3x + 6
y = 3x + 6
2x + 3x
5x
6x
cannot be simplified
5 + x
2xy - 10xy
-12xy2
8xy
-8xy
-12xy
2x² + 3x² + 5x
10x
10x2
5x2 + 5x
10x3
Is the following relation a function: (2, 3) (4, 5) (5, 3)
yes because one output for each input
no because 3 appears twice as an output
not enough information
it depends
Is the following relation a function: (2, 3) (2, 4) (5, 10)
yes because one input for each output
no because 2 appears twice as an input with different outputs
not enough information
it depends
Is the following relation a function: (2, 3) (5, 10) (2, 3)
yes because there is one output for each input
no because 2 appears twice as an input
not enough information
it depends
how do we read "f(x)"
"f of x" ("f de x")
"f times x" ("f por x")
"f multiplied with x" ("f multiplicado por x")
none of the above (Ninguna de las anteriores)
What does the f in "f(x)" usually stand for?
function
fraction
factor
****
What always goes inside the parentheses in "f(x)"?
the output
the input
the y-value
the answer
Evaluate f(2) when f(x) = x+3
f(2) = 2
f(2) = 3
f(2) = 5
f(2) = 6
Evaluate g(5) when g(x)=2x
g(5) = 2
g(5) = 5
g(5) = 7
g(5) = 10
Evaluate f(10) when f(x)=2x+1
f(10) = 3
f(10) = 10
f(10) = 21
f(10) = 30
Is this a function?
Yes, one output for each input
No, look at the 2's
It depends
Not enough information
Is this a function?
Yes, one output for each input
No, look at the -3's
It depends
Not enough information
Is this a function?
Yes, one output for each input
No, multiple y-values for an x-value
It depends
Not enough information
Is this a function?
Yes, one output for each input
No, multiple y-values for an x-value
It depends
Not enough information
The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?
h(x)=x2−3x−9
h(x)=x2+3x−9
h(x)=x2−6x
h(x)=x2+6x
(x³-2x²+3)+(2x³+3x²-1)
(3x²-3x+2)-(x²-2x+1)
A
B
C
D
a
b
c
d
a
b
c
d
a
b
c
d
Solve the system of inequalities by graphing.
A=1200(.85)6
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
What type of correlation does this graph have?
Negative
no association
positive
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
Correlation or Causation?
When it rains several inches, the water level of a lake increases
Correlation
Causation
(7r3−8p10)2
-64p20/ 49r6
64p20/ 49r6
-8p20/ 14r6
-64p12/ 49r5
Rewrite using positive exponents
24
1/24
42
1/42
Rewrite using a positive exponent.
2w-13
1/2w13
2/w13
2/w-13
2w13
s-5 ⋅ s-2
Simplify: 8(x4)21
4x2
8x2
4x4
8x4
Simplify: (s2r−4)(s6r−2)
r6s8
r8s15
r6s8
r7s13
2x-5y7⋅3x-4y-2
x4y-2 ⋅ x-2y2
Select the exponent that makes the equation true.
3
5
10
15
1
Simplify the following expression:
(3x4y5)2
9x8y10
6x8y10
3x8y10
x8y10
Simplify the following expression:
(7a2)(5a6b)2
35a14b2
175a12b2
175a14b2
35a14b
What is the area of a square with a side length of (-2xy2)3? AREA!!!!
-6x3y6
-8x3y6
64x9y36
64x6y12
The graph of f(x)= x2 was transformed to create the graph of g(x) = (x - 7.5)2. Which of these describes the transformation?
A horizontal shift to the right 7.5 units
A horizontal shift to the left 7.5 units
A vertical shift down 56.25 units
A vertical shift up 56.25 units
A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells?
n= 4(1/2)h
n= 4(2)h
n= 4+ (2)h
n= 4 + (1/2)h
A projectile is launched into the air from the ground. The table shows the height of the projectile, h(t), at different times. Based on the table, which function can best be used to model this situation?
h(t)= 99t2 + 858
h(t)= -4.9t2 + 295t + 0.6
h(t)= -4.9t2 +295t + 2
h(t)= 99t2 + 1,470.3
The graph of part of linear function is g shown on the grid. Which inequality best represents the domain of the part shown?
-9 < x ≤ 2
-9 ≤ x < 2
-6 < g(x) ≤ 3
-6 ≤ g(x) < 3
The graph of a quadratic function is shown on the grid. Which equations best represents the axis of symmetry?
y = 6
x = 2
y = 4
x = 0
If p(x) = 5(x2 + 1) + 16, what is the value of p(11)?
690
736
622
626
Which expression is equivalent to (7x3)2 (x8)1/2?
14x10
49x10
14x7
49x7
Which expression is equivalent to √147?
3√7
7√3
21√7
49√3
Which graph best represents the solution set of y ≤ -4x?
Which dashed line is an asymptote for the graph?
line q
line r
line s
line t
The set of all x-values of a function.
Domain
Range
x-axis
y-axis
When the vertex of a parabola is at its highest point it is called _________.
Minimum
Maximum
Intersection
y-intercept
y=mx+b is called ____________ .
Slope Intercept Form
Point Slope Form
Standard Form
Quadratic Function
Rate of change also means
Slope
y-intercept
Zerox-s
Direct Variation
What type of function is this: y = a(b)x
Linear
Quadratic
Exponential
Rational
State whether the equation represents exponential growth, exponential decay,
or neither.
f (x) = 5 • 0.3x
Exponential growth since b > 1
neither
Exponential Decay since 0< b<1.
Why didn't the skeleton go to the party?
He didn't have no body to go with
He got lost
He wasn't invited
What is the safest room to be in during a zombie apocalypse?
Bathroom
Living Room
Closet
Kitchen
Which kind of nuts are the softest nuts?
Almonds
Peanuts
Donuts
Cashews
A guy has 367 apples. You take away 34. How many apples do you have?
0
333
34
Factor this trinomial: 2x2 + 11x + 12
(x + 3)(2x + 4)
(2x + 2)(x + 6)
(x + 2)(2x + 6)
(2x + 3)(x + 4)
Simplify.
3x3
3x5
3x-3
3x-5
The population of jawas on Tatooine is 12,000, but has been decreasing at a rate of 7% every year. How many jawas will there be in 10 years?
6,201
8,972
5,808
1,973
The graph of f(x) = x2 has been transformed so that the vertex is now (-2, 8), it opens upward, and is now 3 times as steep. What is the new equation?
f(x) = (x - 2)2 - 8
f(x) = 3(x + 2)2 + 8
f(x) = -3(x + 2)2 + 8
f(x) = 3(x + 2)2 - 8
When using the method of completing the square to
solve the following quadratic equation, which number
completes the square?
x2 - 8x + 2 = 0
16
-16
-4
6
Bosco had 7x3 + 7x2 − 3x dollars. He spent 3x3 + 5x
on a new shirt. How much money does he have
left?
10x3 + 7x2 + 2x
4x3 + 7x2 - 8x
4x3 + 7x2 + 2x
10x3 + 7x2 - 8x
Factor: 24x3 + 42x2 + 9x
3x(4x + 3)(2x + 1)
x(12x + 3)(2x + 1)
x(2x + 3)(12x + 1)
3x(2x + 3)(4x + 1)
What percent of those that prefer Instagram are
girls?
45%
59%
22%
52%
Name the polynomial based on degree and term:
3x2 + 4x - 5
cubic trinomial
quadratic binomial
quartic trinomial
quadratic trinomial
Simplify
16
64
256
216
What is the simplest form of this radical?
Cannot be simplified
Solve the equation (hint: use the quadratic formula):
3x2 - 2x - 6
2.2 or -1.8
1.8 or -1.1
1.2 or -2.2
2.8 or -2.8
How long is side x?
14.1
13.8
15.2
14.7
Choose all true statements about the function.
f(x) = 2x2 + 4x - 6
I. The vertex is (-1, -8)
II. The graph opens downward
III. The discriminant is 64
IV. The function is a cubic trinomial
V. The function has a degree of 2
I, III, and IV
I and III
III and V
I, III, and V
Solve the system using any method.
y = -2x - 1
y = x + 5
(-2, 3)
(2, 3)
(-2, -3)
(2, -3)
