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WorksheetsAlgebra 1 EOC FINAL Review
Total questions: 92
Worksheet time: 5hrs 19mins
Name
Class
Date
1.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
2.
What is the slope of the table?
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
3.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
4.
Find the slope of the line that passes through:
(6,7) and (4,2)
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
5.
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
(-4, 7) and (-6, -4)
a)
2/11
b)
13/2
c)
3/10
d)
11/2
6.
Find the slope of the line from the graph
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
7.
A line that is parallel to this line would have what slope?
3x-y=7
3x-y=7
a)
-1/3
b)
1/3
c)
3
d)
-7
8.
What is the slope?
a)
-1/3
b)
-3
c)
-4
d)
5
9.
What is the slope of the line:
8x - 24y = 32
a)
m = 3
b)
m = 8
c)
m = 1/3
d)
m = -24
10.
Factor:
x2 + 7x - 30
x2 + 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
11.
If a trinomial cannot be factored, it has no solutions
a)
True, it is prime and has no solutions
b)
False, it is prime but could still have solutions.
12.
What is a method of checking your work when factoring?
a)
FOIL
b)
asking the teacher every time
c)
assume you're correct
d)
division
13.
Factor completely:
3x2 + 18x +15
Hint: Factor GCF first.
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
14.
Factor Completely: 6x² + 5x - 6
a)
6(x + 1)(x - 6)
b)
(6x + 6)(x - 1)
c)
(2x - 3)(3x + 2)
d)
(3x - 2)(2x + 3)
15.
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)
16.
Factor
8x2-10x-3
8x2-10x-3
a)
(8x-12)(8x+2)
b)
(2x-1)(4x+3)
c)
(2x-3)(4x+1)
d)
(2x+3)(4x-1)
17.
Simplify the expression:
6 + 2(7x - 3)
6 + 2(7x - 3)
a)
14x + 12
b)
14x
c)
14x - 12
d)
56x - 24
18.
Simplify:
2x - 5x + 6x + 7 + 14
2x - 5x + 6x + 7 + 14
a)
3x + 21
b)
3x + 22
c)
-3x + 21
d)
-3y + 22
19.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
20.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
21.
Simplify (7a2)(5a6b)2
a)
35a14b2
b)
175a12b2
c)
175a14b2
d)
35a14b
22.
Which expression is equivalent to the following quotient?
a)
z(a - b - c)
b)
z(a + b - c)
c)
z(a - b + c)
d)
z(a + b + c)
23.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
24.
Simplify
(-3x3y2)2 (-2x2)3 (5xy2)0
(-3x3y2)2 (-2x2)3 (5xy2)0
a)
360x13y6
b)
-72x12y4
c)
-17x12y4
d)
x12y4
25.
Name the x-intercept(s)?
a)
0
b)
4
c)
2
d)
0 and 4
26.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
27.
Identify the y-intercept
a)
(0, -3)
b)
(0, 1)
c)
(0, 3)
d)
(2, 1)
28.
What do we call the highest or lowest point of a quadratic?
a)
parabola
b)
vertex
c)
graph
d)
point
29.
Find the roots.
a)
0 and 4
b)
0 and -4
c)
0
d)
-4
30.
In a quadratic function which of the following does not have the same meaning?
a)
Root
b)
Solution
c)
Vertex
d)
x-intercept
31.
What is the axis of symmetry?
f(x)= x2 -8x +3
f(x)= x2 -8x +3
a)
x = 4
b)
x = 3
c)
x = -8
d)
x = -13
32.
What is the vertex?
f(x) = -3(x+1)2-5
f(x) = -3(x+1)2-5
a)
(1, -5)
b)
(-1, 5)
c)
(1, 5)
d)
(-1, -5)
33.
If given the equation
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
34.
Identify the vertex and whether the graph opens up or down.
a)
(5, 2); opens up
b)
(5, 2); opens down
c)
(-5, 2); opens up
d)
(-5, 2); opens down
35.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
36.
What is the vertex of the following equation?
y=5(x-3)2+5
y=5(x-3)2+5
a)
(3,5)
b)
(-3,5)
c)
(3, -5)
d)
(-3,-5)
37.
Are the points on the boundary line part of the solution set or not?
a)
Yes, they are part of the solution set
b)
No, they are NOT part of the solution set
38.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
39.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
40.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
41.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
42.
What is the range?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
43.
What is the domain?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
44.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D:{-4, 0, 1, 2}
R:{-4, -3, 1}
R:{-4, -3, 1}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
45.
What is the range of the following graph?
a)
all real numbers
b)
all integers
c)
any real number greater than zero
d)
it can not be determined
46.
What is the range of the function?
a)
y ≤ 2.5
b)
y > 2.5
c)
all real numbers
47.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
48.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
49.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
50.
A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the dandle in inches, and x, the number of hours the candle burns?
a)
y=2x+7
b)
y=7-2x
c)
y=2-7x
d)
y=7x+2
51.
Which of the following situations could be descried by the equation y=120-25x?
a)
There are 120 people in the football stadium, and 25 more are entering each hour.
b)
A plumber charges $25 for a house call and $120 per hour.
c)
A teacher has 120 students. Her third period has 25 students
d)
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute
52.
Which of the following situations can be represented by y=10+0.55n
a)
The total cost at a store for one book that costs $10 and n bookmarks that cost $0.55 each.
b)
The total cost of 10 bags of chips that cost $0.55 each.
c)
The height of a tree after n day that was 10feet tall and it grew 55 feet a day.
d)
Not here
53.
An electrician charges $25 to make a house call, plus $40 for every hour of work. Which equation shows how to find C, the total cost for having the electrician work for h hours?
a)
C = 25+40h
b)
C = 65+h
c)
C = 65h
d)
C = 25h +40
54.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
55.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
56.
The equations of two lines are:
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?
a)
x=8
b)
x=3
c)
x=11
d)
x=5
57.
Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?
a)
x+y=134
x+y=120
x+y=120
b)
3x+3y=134
4x+3y=120
4x+3y=120
c)
4x+3y=134
3x+3y=120
3x+3y=120
d)
7xy=134
6xy=120
6xy=120
58.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
59.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
60.
Solve for x and y
2x − 3y = −1
y = x − 1
2x − 3y = −1
y = x − 1
a)
(-2,-3)
b)
(0,-1)
c)
(3,4)
d)
(4,3)
61.
While in 6th grade, Heather invested $20 in a bank account that paid 6% in annual interest. Which equation could be used to find the balance of her account in x years?
a)
A = 20(1.06)x
b)
A = 20(0.06)x
c)
A = 20(6)x
d)
A = 20(0.16)x
62.
The following function represents a bank account.
g(x) = 200(1.25)x
What was the initial dollar amount put in the bank?
g(x) = 200(1.25)x
What was the initial dollar amount put in the bank?
a)
$200
b)
$1.25
c)
$0.25
d)
$2.00
63.
Ty's house is worth $100,000 right now. It will lose value at a rate of 2% per year.
Which function models this situation?
a)
f(x) = 100,000(2)x
b)
f(x) = 100,000(1.02)x
c)
f(x) = 100,000(0.98)x
d)
f(x)=100,000(98)x
64.
Is this exponential growth or decay?
a)
Growth
b)
Decay
65.
Is this exponential growth or decay?
a)
Growth
b)
Decay
66.
What is the range of this graph?
a)
y = 6
b)
(0, -4)
c)
y > -6
d)
y < -6
67.
What is the y-intercept?
a)
5
b)
1/3
c)
x
68.
What is the common ratio?
a)
5
b)
1/3
c)
x
d)
y
69.
The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.
a)
f(x) = 25.05x + 5.57
b)
f(x) = 5.57x + 25.05
c)
f(x) = -5.57x + 25.05
d)
f(x) = 5.57x - 25.05
70.
r=0.3
a)
Strong positive
b)
Weak positive
c)
Strong negative
d)
Weak negative
71.
r=-0.89
a)
Strong positive
b)
Weak positive
c)
Strong negative
d)
Weak negative
72.
Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.
a)
0.07 weak
b)
-0.26 weak
c)
-0.26 moderate
d)
0.07 strong
73.
Which transformation transforms the graph of
f(x) = x2 to the graph of
g(x) = (x + 4)2?
f(x) = x2 to the graph of
g(x) = (x + 4)2?
a)
a vertical translation 4 units up
b)
a vertical translation 4 units down
c)
a horizontal translation 4 units to the left
d)
a horizontal translation 4 units to the right
74.
How did we transform from f(x) =x2
to
g(x) = -3x2
to
g(x) = -3x2
a)
reflection in x-axis and vertical shift down
b)
reflection x-axis and vertical stretch
c)
horizontal stretch
d)
reflection x-axis and vertical compression
75.
What is the vertical shift of this equation?
f(x) = -(x + 3)2 - 5
f(x) = -(x + 3)2 - 5
a)
left 5
b)
right 5
c)
up 5
d)
down 5
76.
Does the graph of this equation widen or narrow from the parent function?
g(x) = 3/4 (x - 5)2 + 12
g(x) = 3/4 (x - 5)2 + 12
a)
widen
b)
neither
c)
narrow
77.
If the blue graph is
f(x) = x2
then the red must be...
f(x) = x2
then the red must be...
a)
g(x) = x2 - 5
b)
g(x) = x2 + 5
c)
g(x) = (x - 5)2
d)
g(x) = (x + 5)2
78.
What transformations have occurred?
a)
Right 2 and up 2
b)
Left 2 and up 2
c)
Right 2 and down 2
d)
Left 2 and down 2
79.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
80.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
81.
y = 6x + 2
y = -6x + 2
These lines are...
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
82.
y = 5/7x +2
y = 5/7x - 30
These lines are...
y = 5/7x - 30
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
83.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
84.
In a direct variation, y=39 when x=3. Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
85.
If x and y vary directly, what is the missing value in the points (x, 4) and (-14, -8)?
a)
x = -7
b)
x = -2.3
c)
x = 2.3
d)
x = 7
86.
Which of the following would be graphed as a horizontal line?
a)
y = -4
b)
x = 7
c)
y = 3x-4
d)
None of the above
87.
Which of the following would represent a vertical line?
a)
y = -5
b)
x = 3
c)
y = 4x +3
d)
None of the above
88.
What is the equation of the line that passes through the point (-5, -6) and is Perpendicular to the y-axis?
a)
y= -6
b)
x= -6
c)
y= -5
d)
x= -5
89.
What is the slope of a line that is parallel to y=2?
a)
0
b)
Undefined
c)
2
d)
21
90.
What is the slope of a line that is perpendicular to y=2?
a)
0
b)
Undefined
c)
2
d)
21
91.
Which of the following equations represents the graph of a line parallel to the x-axis and passing through the point (-2, 3)?
a)
y=3x
b)
y=3
c)
x=3y
d)
x=3
92.
Which of the following equations represents the graph of a line perpendicular to the y-axis and passing through the point (1, 5)?
a)
y=1
b)
y=1x+5
c)
x=1
d)
y=5
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