WorksheetsAlgebra 1 EOC Review (Almost Everything!)
Total questions: 156
Worksheet time: 10hrs 54mins
Given g(x)=x2−6x−16 , which statement is true?
The zeros are -8 and 2, because the factors of g are
(x + 8) and (x - 2).
The zeros are -8 and -2, because the factors of g are
(x + 8) and (x + 2).
The zeros are -2 and 8, because the factors of g are
(x + 2) and (x - 8).
The zeros are 2 and 8, because the factors of g are
(x - 2) and (x - 8).
Which ordered pair is in the solution set of
8x + 16y > 32?
(0, 2)
(−3, 5)
(−1, 1)
(4, 0)
What is the equation is slope-intercept form of the line that passes through
the points (-26, -11) and (39, 34)?
y=−139x+7
y=−139x−7
y=139x+7
y=139x−7
Two characteristics of quadratic function p are given.
The axis of symmetry of the graph of p is x = -3.
Function p has exactly one zero.
Based on this information,
which graph could represent p?
A
B
C
D
What is the solution to:
4(y−3)+19=8(2y+3)+7 ?
Which line appears to have an
x-intercept of -5 and a y-intercept
of 3?
F
G
What are the solutions to
(x + 7)2 = 121?
4 and - 18
-2 and 20
-16 and 6
18 and -4
What are the equation and slope of
the line shown on the grid?
y = 6; slope is −61
y=6; slope is 6.
x = 6; slope is zero
x = 6; slope is undefined
Which equation best represents this graph?
y < 21x + 2
y ≥ 21x + 2
y < 21x + 1
y > 21x + 2
Which graph best represents the solution set of:
y≤−21x−3?
(a)
A system of equations is shown below:
2x - y = 3
x - 3y = 4
What is the value of y for the solution to the system?
(a)
Which graph best represents the equation y = 4x - 3?
D
C
B
A
The line - 6x - 4y = - 5 is plotted on a graph. What is the slope of this line?
−6
−23
45
−4
The table of values above represent a linear function.
Which of the following equations represents the equation?
8x+y=23
−8x+y=23
8x+y=184
−8x+y=184
What is the x-intercept of the graph shown?
(a)
(3, 0)
What is the value of y in the solution
to this system of equations?
6y+x=−59
x=−2y+9
Which inequality best represents the domain the graph shown?
-9 < x ≤ 2
-9 ≤ x < 2
-6 < y ≤ 3
-6 ≤ y < 3
5d = 2d - 18
-2d -2d
3d = -18
d = 6
(x³-2x²+3)+(2x³+3x²-1)
(3x²-3x+2)-(x²-2x+1)
Solve: 97=−3(6n−5)−8
−10
16
−5
−2
Does the following equation have one solution, no solutions, or infinitely many solutions?
2x + 4 = 2x + 4
One
None
Infinite
This cannot be determined
Does the following equation have one solution, no solutions, or infinitely many solutions?
5x + 4 = 2x + 4
One
None
Infinite
This cannot be determined
Find the solution
8x + 4y = 12
y = -2x + 3
No solution
Select the correct graph for the inequality.
Write an expression which represents the area of a rectangle with sides measuring 2x2y4z units and
5xy4z3 units.
7x2y16z3
7x3y8z4
10x2y16z3
10x3y8z4
Which inequality best describes the graph shown below?
y>−43x+5
y<−43x+5
y<−34x+5
y>−34x+5
Simplify: 5w235w6+20w4
7w8+4w6
7w4+4w2
3ow4+15w2
7w+4w3
Which inequality best represents the range of the linear function above?
−9 ≤ x < 2
−6 < y ≤ 3
−6 ≤ y < 3
−9 < x ≤ 2
The perimeter of a rectangular wooden deck is 90 feet. The deck’s length, l, is 5 feet less than 4 times its width, w. Which system of linear equations can be used to determine the dimensions, in feet, of the wooden deck?
2l + 2w = 90
l = 5 - 4w
2l + 2w = 90
l = 4w - 5
2l + 2w = 90
l = 5w - 4
2l + 2w = 90
l = 4 - 5w
The graph of the function y = 21x−3 is shown in the picture. If the line is translated 2 units up, which equation will best describe the new line?
y=21x−5
y=21x + 5
y=21x+3
y=21x−1
f(x) = x2 + 2x - 15?
Evaluate the function rule:
32
80
- 88
72
What is the domain of the given graph?
1≤x≤4
1<y<4
1<x<4
1≤y≤4
Which expression is equivalent to 3x2 - 20x + 12?
(3x + 2)(x + 6)
(3x + 2)(x - 6)
(3x - 2)(x - 6)
None of the above
The table represents some points on the graph of a linear function.
What is the function that represents the same relationship?
h(x) = -x + 8
h(x) = x + 8
h(x) = -1.5x + 12
h(x) = 1.5x + 12
The sum of the first consecutive even numbers can be found using S = n2+n , where n≥2 . What is the value of n when the sum is 90?
9
26
39
90
Given f(x)=3(7−x) , what is the value of f(-3)?
(a)
The table below contains some points on the graph of an exponential function.
Based on the table, which function represents the same relationship?
t(x) = (3)x
t(x) = 375(3)x
t(x) = .6(5)x
t(x)=5(.6)x
Which function would give the sequence 95, 99, 103, 107... ?
tn=4×1(n−1)
tn=1×4(n−1)
tn=95−6(n−1)
tn=91+4n
A = P0(2.71828)0.04t , where P0 is the original population and t is the time in hours. If you begin with 400 bacteria, approximately how many of the bacteria can you expect after 100 hours?
Jim owns a business that produces bicycles. He must bring in more in revenue
than he pays out in costs in order to turn a profit.
• It costs $5 in labor and materials to make each of his bicycles.
• His rent each month for his factory is $3500.
• He sells each bicycle for $10.
How many bicycles does Jim need to sell each month to make the minimum profit?
y = 0.07(250) + 250. Which part of the expression represents the taxes paid on the shoes?
(4, -7); m = -1/4
7.6
0.17
11.6
9
19
9
2.5
5.96
1.3
14
4.8
3.6
-4.9
4.2
7.3
-3.5
a
b
c
d
a
b
c
d
Use Narrower, Wider, or Same to compare the width of this graph to its parent function.
y= 1/3 |x| + 3
Narrower
Wider
Same
Use Narrower, Wider, or Same to compare the width of this graph to its parent function.
y = 5/2 |x - 1|+ 2
Narrower
Wider
Same
Use Narrower, Wider, or Same to compare the width of this graph to its parent function.
y = -|x| + 9
Narrower
Wider
Same
On what intervals of x is f(x) negative? (select two answers)
−9≤x≤−3
3≤x≤9
x≤−6
0≤x≤6
On what intervals of x is f(x) have a negative slope?
Select two answers.
−9≤x≤−3
3≤x≤9
x≤−6
0≤x≤6
What is the average speed for the interval t=1 hour to t=3 hours?
10 miles per hour
15 miles per hour
7.5 miles per hour
30 miles per hour
During which interval is the bicyclist moving the fastest?
0≤t≤2
2≤t≤4
4≤t≤7
1≤t≤3
What is the vertex of f(x)=−∣x−3∣ ?
(-1,-3)
(-1,0)
(-3,0)
(3,0)
What is the vertex of f(x)=6∣x−1∣−2 ?
(6,-1)
(-1,-2)
(1,-2)
(1,2)
What are the solutions of -4 ≤ r - 5 < -1
r > 4 or r < 1
1 ≤ r < 4
4 ≤ r < 1
r ≥ -4 and -5 < -1
Which is the graph of the solution set of the inequality?
Which compound inequality represents the picture?
x < -2 or x ≥ 1
x > -2 or x < 1
x ≤ -2 or x > 1
x ≥ -2 or x < 1
What does the 13 represent?
total salary
the dependent variable
part of the domain
the output
What does 190.4 represent?
temperature in Celsius
the output
part of the domain
C
Identify the domain and range of the function.
Domain: -6 ≤ x ≤ 2
Range: -3 ≤ y ≤ 5
Domain: All real number
Range: -3 ≤ y ≤ 5
Domain: All real numbers
Range: -∞ < y ≤ 3
Domain: All real numbers
Range: -3 ≤ y < ∞
Which of the following would result in NO SOLUTION?
x < 1 or x > 5
x > 1 or x < 5
x < 1 and x > 5
x > 1 and x < 5
Solve the following quadratic equation: 5x2=10x
x=−2
x=2
x=2 & x=0
x=−2 & x=0
Solve the following quadratic equation: 4x2−9=0
x=23 & x=−23
x=32 & x=3−2
x=49
x=94
x2−7x=0
Solve by the method of your choice.
x = 7 only
x = 0 only
x = 0 and 7
There is no real answer for this equation.
What is the correlation for the following Scatter Plot.
Weak Positive
No Correlation
Strong Negative
Weak Negative
Strong Positive
Given the following Scatter Plot, select the option that is most likely the r value.
r=.27
r=−.862
r=.934
r=.54
Given the following Scatter Plot, select the option that is most likely the r value.
r=−.45
r=−.981
r=.728
r=.12
Given the following Scatter Plot, select the option that is most likely the r value.
r=−.1
r=−.981
r=.92
r=.765
If r=0, there is a strong correlation.
True
False
r = -0.3 is considered to have...
moderate negative correlation
weak negative correlation
no correlation
strong negative correlation
Estimate the correlation coefficient for this scatterplot.
A) r = -0.9
B) r = 1
C) r = 0.9
D) r = -1
What is a formula for the nth term in the sequence 12, 20, 28, ...?
an=12+8(n−1)
an=−4+8(n+1)
an=12+8(n+1)
an=12(8)n
What is a formula for the nth term in the sequence -4, -9, -14, ...?
an=−4−5(n−1)
an=an−1+5
an=−5−4(n−1)
an=−4+5(n−1)
60, 55, 50, 45, ...
3, 7, 11, 15, ...
12, 10, 8, 6, ...
What is the common ratio of this sequence ? 5, 25, 125, ...
4
2
5
6
Solving for the nth term of geometric sequence, given that a1 = 1 and r= 2, what is the value of the 4th term?
2
8
4
16
Find the 9th term in the following geometric sequence:
4, 8, 16, 32, ...
384
512
768
1,024
Given the recursive formula, write the explicit formula for the geometric sequence.
a1=6an=5⋅an−1
an=5⋅6n−1
an=6⋅5n−1
an=6+5(n−1)
an=5+6(n−1)
Given the sequence:
125, 25, 5, ....
Write the rule an using the geometric sequence formula:
an = (125)(1/5)(n-1)
an = 625(1/5)(n-1)
an = 625(5)(n-1)
an = 125 + 5n
What are the next 3 terms in the following geometric sequence:
512, 256, 128, ___, ___, ___, ...
1024, 2048, 4096
32, 8, 2
64, 32, 16
92, 66, 38
an = 4(5)n-1
A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every machine he sells. Which best describes this function?
Linear
Quadratic
Exponential
None of the above
Which function increases faster: f(x) = 4x or g(x) = 3x ?
f(x)
g(x)
Neither - they increase at the same rate
Cannot be determined with the infromation given
Identify the type of function from the table.
linear
quadratic
exponential
absolute value
The graph
g(x)=2(x−3) is shown, which statement best describes the transformation from the parent graph f(x)=2x .
Vertically shift up 3
Vertically shift down 3
Horizontally shift right 3
Horizontally shift left 3
What is the starting amount in the problem below?
f(t) = 300(1.05)t
300
1.05
t
y
What is the transformation from the parent function y = 3x?
What is the transformation from the parent function y=2x?
Jamere deposits $2350 in an account that earns interest at a rate of 3.1%, compounded monthly. What is his ending balance after five years?
$2743.98
$2,743.45
$2,362.01
$10,856.16
A college receives a donation of $955,000 that earns 5.33% interest compounded daily. How much interest would the college earn in one year?
$52,278.53
$50,901.50
$1,005,901.50
$1,007,278.53
What type of function is this and why?
Linear Function ; common 1st difference
Quadratic Function ; common 2nd difference
Exponential Function; common ratio
Not a Function
What type of function is this?
Linear Function
Exponential Function
Quadratic Function
Not a Function
All Exponential Functions have a ________________.
Common Ratio
Common 1st Difference
Common 2nd Difference
None of these
All Quadratic Functions have a ________________
Common Ratio
Common 1st Difference
Common 2nd Difference
None of these
All Linear Functions have a __________________.
Common 1st Difference
Common Ratio
Common 2nd Difference
There's no way to tell
What type of function does this table represent?
Linear Function
Exponential Function
Quadratic Function
Not a Function
What type of function describes the story below?
Amy had $10 in her piggy bank. She added $5 each week.
Linear because this has a constant rate of change.
Exponential because this grows at a constant percent rate
Quadratic because this is an area model.
None of these - it's not a function
Consider the functions f(x)=3+10x , g(x)=2x and h(x)=5x2 .
Which function will have the greatest output when x = 0 ?
f(x)
g(x)
h(x)
They all have the same output when x = 0
What type of function can model the story below?
Jack dropped a water balloon from the roof of his house to the ground.
Linear because this has a constant rate of change.
Exponential because this decays at a constant percent rate
Quadratic because this is a projectile motion model
None - this would not be a function model
What type of function can model the story below?
The value of a rare collectable item is appreciating at 15% per year.
Linear because this has a constant rate of change.
Exponential because this grows at a constant percent rate
Quadratic because this is a projectile motion model
None - this is not a function model
What type of function can model the story below?
A Instagram influencer makes a post on her social media. The number of likes on her post increases around 30% each day.
Linear because this has a constant rate of change.
Exponential because this grows at a constant percent rate
Quadratic because this is a projectile motion model
None - this is not a function model
What type of function can model the story below?
Mary is building a rectangular patio that is twice as long as it is wide.
Linear because this has a constant rate of change.
Exponential because this grows at a constant percent rate
Quadratic because this is an area model
None - this is not a function model
Eli bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Eli's scores?
193
127
60
66
The shape of the data displayed in the histogram is _______ left.
The shape of the data displayed in the histogram is ________ , so the data are evenly distributed about the center.
Which inference that can be made fro the histogram?
The mean is less than the median
The median is less than the mean
The data is skewed left
The median is 15
88, 92, 88, 55, 94, 90, and 89.
If the outliers were omitted,
what would be the effect
on Shelby’s mean score?
not change.
become greater
than the median
increase by about 2
increase by about 5
