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WorksheetsEOC Review (Algebra 1)
Total questions: 118
Worksheet time: 12hrs 8mins
Name
Class
Date
1.
Sonia has $40 in her lunch account and pays $2 each day to eat lunch.
How long till her account has no money left?
How long till her account has no money left?
a)
40 + 2x, 20 days
b)
40 - 2x, 20 days
c)
2 + 40x, 10 days
d)
2 - 40x, 15 days
2.
Write an expression for the following. Jerry has $20 and makes $7 per hour.
a)
7x + 20
b)
7 + 20x
c)
20 + 7
3.
Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.
a)
15x + 3x = 99 and 6 movies
b)
15x + 3 = 99 and 6 movies
c)
3x + 15 = 99 and 28 movies
d)
3x + 99 = 15 and 28 movies
4.
Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? Let "c" represent the # of people who ordered chicken and "s" represent those who ordered steak.
a)
c + s = 6
14.80c + 17s = 91
14.80c + 17s = 91
b)
c + s = 91
14.80c + 17s = 6
14.80c + 17s = 6
c)
c + s = 6
14.80s + 17c = 91
14.80s + 17c = 91
d)
c + s = 91
14.80s+ 17c = 6
14.80s+ 17c = 6
5.
#7) A beach ball has a surface area of 2,827 square inches. What is the radius of the beach ball? Use the formula A=4πr2, where A is the surface area, and r is the radius of the sphere.
a)
10 in
b)
15 in
c)
20 in
d)
25 in
6.
#10) The area of a floor is represented by the expression 2x2 + 2x – 24. If the length of the floor is (2x – 6), what is the width?
a)
(x + 4)
b)
(x - 4)
c)
(2x + 4)
d)
(2x - 4)
7.
#9) A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t2 + 256. How many seconds did it take the raft to hit the water?
a)
-4
b)
2
c)
4
d)
8
8.
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)
9.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
10.
The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.
a)
y=1400(1.09)x
b)
y=1.09(1400)x
c)
y=1400(.91)x
d)
y=1.09x
11.
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What percent did the population increase each year?
a)
4%
b)
It doesn't say
c)
I don't know
d)
400%
12.
What are the roots of the function
f(x)= (x - 2)(x + 3)?
f(x)= (x - 2)(x + 3)?
a)
x = - 2 or x = 3
b)
x = 2 or x = -3
c)
The are no real roots
d)
x = 2 or x = 3
13.
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)
14.
Factor
k2+7x+10
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
15.
Which one is the constant?
5g3 + 2
5g3 + 2
a)
5
b)
g
c)
3
d)
2
16.
Which one is the coefficient?
6f2 - 9
6f2 - 9
a)
6
b)
f
c)
2
d)
9
17.
How many terms are in the expression below:
5a + 7a - 8
5a + 7a - 8
a)
one
b)
two
c)
three
18.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
19.
What does "a" control in a graph of f(x) = ax2+ bx+ c?
a)
Opens up or down
b)
Where the graph crosses at X-intercept
c)
Where the graph crosses at Y-intercept
20.
What is the product of the following expression?
4x(x2+2x-3)
4x(x2+2x-3)
a)
4x3+8x2-12x
b)
4x2-8x
c)
4x3+4x-12
d)
0
21.
What is the product of the following expression?
(5x+3)2
(5x+3)2
a)
5x2+30x+9
b)
25x2+30x+9
c)
25x2+15x+9
d)
5x2+15x+9
22.
What is the relation of the graph y=x2+3 to the graph y=x2+1?
a)
shifts up 2
b)
shifts down 2
c)
shifts right 2
d)
shifts left 2
23.
What are the x-intercept(s) for the graph of the function: y = (x - 2)(x + 4)
a)
-2, -4
b)
-2, 4
c)
2, -4
d)
2, 4
24.
Solve using substitution.
2x - 2y = 2
y = -5x + 14
2x - 2y = 2
y = -5x + 14
a)
(4, 5)
b)
(2.5, 1.5)
c)
(1.5, 5)
d)
(1, 2.25)
25.
Write the equation 4x-2y=10 in slope-intercept form.
a)
y=2x+5
b)
y=-4x-5
c)
y=2x-5
d)
y=4x-5
26.
Give the slope and y-intercept
6x - 3y = -9
6x - 3y = -9
a)
slope is 6
y-intercept is 9
y-intercept is 9
b)
m=2
b=3
b=3
c)
slope is 2
y-intercept is -3
y-intercept is -3
d)
m = 3
b = 2
b = 2
27.
#5 Which graph is correct for y = ⅔x - 1?
a)
A
b)
B
28.
Numbers that follow each other in order
a)
absolute value
b)
consecutive integers
c)
Relation
d)
function
29.
An equation that uses greater than or less than symbols
a)
Equation
b)
Inequality
c)
Absolute Value
30.
The steepness of a line. The change in the y and x values
a)
Slope
b)
y-intercept
c)
Standard From
d)
Function
31.
A relation where every input has exactly one output
a)
Function
b)
Relation
c)
Consecutive Integer
d)
Origin
32.
m
a)
rate of change
b)
y-intercept
c)
x-intercept
d)
roots
33.
domain
a)
range
b)
x values
c)
y values
d)
both x & y values
34.
Which of the following does NOT represent the y value in a function?
a)
Range
b)
Dependent variable
c)
Output
d)
Domain
35.
which of the following is the definition of a function?
a)
every y has only one x
b)
every x has many y
c)
every x has only one y
d)
every y has many x
36.
Which of the following does NOT represent a x-value of a function?
a)
Range
b)
Domain
c)
Independent Variable
d)
Input
37.
Function yes or no?
(2,5), (-9,5), (1,8), (3,2), (-2,1)
(2,5), (-9,5), (1,8), (3,2), (-2,1)
a)
yes
b)
no
38.
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)
39.
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
40.
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
41.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
42.
Which value is an irrational number?
a)
4 + √7
b)
√2√8
c)
√3√12 ÷ 5
d)
√3 - √3
43.
The total area of two rectangles can be represented by the expression (x)(3x+1) + (2x)(x+3). Which expression represents the total area of the two rectangles combined?
a)
7x2
b)
6x3 + 6x2
c)
6x2 + 7x
d)
5x2 + 7x
44.
Which expression has the same value as the expression
(8x2 + 2x - 6) - (5x2 -3x + 2)?
(8x2 + 2x - 6) - (5x2 -3x + 2)?
a)
3x2 - x - 4
b)
3x2 + 5x - 8
c)
13x2 - x - 8
d)
13x2 -5x - 4
45.
What is the product of 7x - 4 and 8x + 5?
a)
15x + 1
b)
30x + 2
c)
56x2 + 3x - 20
d)
56x2 -3x + 20
46.
In which expression is the coefficient of term "n" -1?
a)
3n2 + 4n - 1
b)
-n2 + 5n + 4
c)
-2n2 - n + 5
d)
4n2 + n - 5
47.
Which sum is rational?
a)
π + 18
b)
√25 + 1.75
c)
√3 + 5.5
d)
π + √2
48.
What is a value called when it is much greater or lesser than most of the other values in the data set?
a)
Cluster
b)
Gap
c)
Outlier
d)
Point
49.
What is the Q3 of this data set?
6, 7, 2, 1, 5, 2, 1, 6
6, 7, 2, 1, 5, 2, 1, 6
a)
5
b)
6
c)
5.5
d)
6.5
50.
What is the IQR of this data set?
6, 7, 2, 1, 5, 2, 1, 6
6, 7, 2, 1, 5, 2, 1, 6
a)
3
b)
4
c)
4.5
d)
5.5
51.
The number of miles that Kiki cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Kiki cycled?
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Kiki cycled?
a)
24
b)
36
c)
39
d)
52
52.
To find the mean of a set of numbers, add up all the items and divide by...
a)
2
b)
The minimum
c)
The maximum
d)
The number of items
53.
Latisha is 5 years older than Wanda. Three years ago Wanda was 8a years. How old is Latisha now?
a)
8a + 5
b)
8a - 3
c)
8a + 8
d)
8a + 3
54.
Michelle spends t +4 hours per day watching television. Carmen spends t hours and Henry watches television t -2 hours per day. Find the average number of hours of TV time for the three students
a)
(3t +2) / 3
b)
(4t/3) + 2
c)
2t + 4
d)
(4t - 2) /3
55.
Which one is the coefficient?
6f2 - 9
6f2 - 9
a)
6
b)
f
c)
2
d)
9
56.
Which one is the constant?
5g3 + 2
5g3 + 2
a)
5
b)
g
c)
3
d)
2
57.
How many terms are in the expression below:
5a + 7a - 8
5a + 7a - 8
a)
one
b)
two
c)
three
58.
write the equation
a)
15 + 6p = 75
b)
15- 6p = 75
c)
15 + 75 = 6p
d)
15 -75 = 6p
59.
Find the Slope from the Pair of Points
(-4,-5) (4,5) slope = _____
(-4,-5) (4,5) slope = _____
a)
4/5
b)
-5/4
c)
5/4
d)
-4/5
60.
What is the first step to solve this equation:
11 - 3x = 44
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
61.
-31-4x=-5-5(1+5x)
a)
2
b)
1
c)
-1
d)
4
62.
3(1-3x)=2(-4x+7)
a)
11
b)
-11
c)
-20
d)
20
63.
Write a rule for the following table:
x: -2 -1 0 1 2 3
-------------------------------
y: -3 0 3 6 9 12
x: -2 -1 0 1 2 3
-------------------------------
y: -3 0 3 6 9 12
a)
y = 3x -1
b)
y = 3 + 3x
c)
y = -3x -2
d)
y = x + 3
64.
What are the roots of the function
f(x)= (x - 2)(x + 3)?
f(x)= (x - 2)(x + 3)?
a)
x = - 2 or x = 3
b)
x = 2 or x = -3
c)
The are no real roots
d)
x = 2 or x = 3
65.
A party charges $5 admission for each person.
a)
Linear
b)
Exponential
c)
Neither
66.
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)
67.
Factor
k2+7x+10
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
68.
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)
69.
In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?
a)
10 horses, 18 chickens
b)
16 horses, 12 chickens
c)
12 horses, 16 chickens
d)
18 horses, 10 chickens
70.
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
71.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
72.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
73.
Solve the equation using the quadratic formula.
a)
A
b)
B
c)
C
d)
D
74.
What does "a" control in a graph of f(x) = ax2+ bx+ c?
a)
Opens up or down
b)
Where the graph crosses at X-intercept
c)
Where the graph crosses at Y-intercept
75.
Solve
4m2 - 100 = 0
4m2 - 100 = 0
a)
m=25, -25
b)
m=96
c)
m=5, -5
d)
m=-96
76.
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)
77.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
78.
True or False:
The domain of a quadratic is all real numbers.
The domain of a quadratic is all real numbers.
a)
False
b)
True
79.
Solve for y:
-5 - 7y = -20y + 34
-5 - 7y = -20y + 34
a)
y = 3
b)
y = 1
c)
y = 0.67
d)
y = 46
80.
What operation would you perform first and then second when solving for m in the following equation?
10 + 7m = 17
10 + 7m = 17
a)
subtract 10, divide by 7
b)
divide by 7, subtract 10
c)
multiply by 7, add 10
d)
add 10, multiply by 7
81.
Each month Kaden's phone company charges a flat fee of $12 plus $0.05 per minute. His bill for last month was $18. How many minutes did Luca talk on the phone last month?
a)
120
b)
100
c)
350
d)
600
82.
Sophie has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket. How many weeks will it take Sophie to save money for a new jacket?
a)
11 weeks
b)
10 weeks
c)
12 weeks
d)
13 weeks
83.
What is the solution to the system of equations?
y = 3x - 8
y = 4 - x
y = 3x - 8
y = 4 - x
a)
(3,1)
b)
(1,3)
c)
(-3,1)
d)
(3,-1)
84.
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)
85.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
86.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
87.
When you graph the exact same equation twice,
a)
you will have no solution.
b)
you will have one solution.
c)
you will have infinite solutions.
d)
you will graph a giraffe.
88.
How many solutions will this system have?
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
89.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution
d)
(6, -2)
90.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
91.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
92.
Which line(s) are parallel to y=3x+1
a)
y= -3x -1
b)
y=-1/3+3
c)
y=3x
d)
None of them
93.
Rewrite
4y = 3 - 4/5x
in standard form.
4y = 3 - 4/5x
in standard form.
a)
4x - 20y = 15
b)
4x + 4y = 15
c)
4x + 20y = 15
d)
4x + 4y = 3
94.
Write the equation of the line that goes through (-4, 1) and ( 2, 13) in slope-intercept form.
a)
y - 13 = 2(x - 2)
b)
y = 2x + 9
c)
y - 1 = -2(x + 4)
d)
y = -1/2x - 1
95.
Write the equation of the horizontal line that goes through (4, 8)
a)
undefined
b)
x = 4
c)
y = 8
d)
y = 2x
96.
Find the slope
a)
0
b)
undefined
c)
-3
d)
6
97.
Find the slope from the graph
a)
0
b)
undefined
c)
5
d)
-5
98.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
99.
Determine the x and y intercepts
4x - 5y = 40
4x - 5y = 40
a)
x intercept is 10
y intercept is 8
y intercept is 8
b)
x intercept is 10
y intercept is 20
y intercept is 20
c)
x intercept is 8
y intercept is 10
y intercept is 10
d)
x intercept is 10
y intercept is -8
y intercept is -8
100.
Select the correct graph for each inequality. y≤ -¾x -1
a)
A
b)
B
c)
C
d)
D
101.
Select the graph for y ≥ -3.
a)
A
b)
B
c)
C
d)
D
102.
a)
f(x) = 3x - 5
b)
f(x) = 2x - 4
c)
f(x) = x + 3
d)
f(x) = x + 1
103.
Simplify: 2x4(3x3 - x2 + 5x)
a)
6x7 - x2 + 5x
b)
6x12 - x2 + 5x
c)
6x7 - 2x6 + 10x5
d)
6x12 - 2x8 + 10x4
104.
a)
b)
c)
d)
105.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
106.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x and y ≤ -2x + 4
b)
y > 3x and y > -2x + 4
c)
y < 3x and y > -2x + 3
d)
y > 3x and y < -2x + 4
107.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
y < 2
b)
y < 2x - 4
y < 2
y < 2
c)
y > 2x - 4
y < 2
y < 2
d)
y < 2x - 4
y < -2
y < -2
108.
Which of the following is a difference of perfect squares?
a)
x2 - 18
b)
4x2 + 36
c)
9x2 - 100
d)
x2 + 4
109.
Factor 4b5+4b3+16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
110.
Factor completely.
k2 -2k - 24
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
111.
Factor completely:
3x² + 5x - 12
3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
112.
Factor by grouping:
3x3-x2+6x-2
3x3-x2+6x-2
a)
(x2+2)(3x+1)
b)
(x2+2)(3x-1)
c)
(3x3+6x)(x2-2)
d)
none of the aboe
113.
Jeremy bought a new truck for $32,000. The value of the truck after t years can be represented by the formula V = 32,000(.8)t. When will the truck be worth approximately $6700?
a)
In 5 years
b)
In 7 years
c)
In 8 years
d)
In 9 years
114.
Monica was taking a bus trip to see her aunt. For her to ride 50 miles it cost her $40. For her to ride 250 miles the bus trip would cost her $100. Find the rate of change in dollars per mile. Write an equation in slope-intercept form to model this situation.
a)
y = 3/10x + 40
b)
y = 2.5x + 25
c)
y = 3/10x + 30
d)
y = 3/10x + 25
115.
Which of the following best represents the range represented in the graph?
a)
0 ≤ y ≤ 9
b)
0 < y < 9
c)
0 ≤ y ≤ 6
d)
0 < y < 6
116.
What is the equation of this line?
a)
0
b)
undefined
c)
y = -2
d)
x = -2
117.
A college student needs 11 classes that are worth a total of 40 credits in order to complete her degree. The college offers both 4-credit classes and 3-credit classes. Which system of equations can be used to determine f, the number of 4-credit classes the student can take to complete her degree, and h, the number of 3-credit classes?
a)
f + h = 40
4h + 3f = 11
4h + 3f = 11
b)
f + h = 11
4h + 3f = 40
4h + 3f = 40
c)
f + h = 40
4f + 3h = 11
4f + 3h = 11
d)
f + h = 11
4f + 3h = 40
4f + 3h = 40
118.
What are the solutions?
a)
0 and 8
b)
-2 and -4
c)
3 and -1
d)
2 and 4
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