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WorksheetsMath 1 EOC Review
Total questions: 114
Worksheet time: 9hrs 39mins
Name
Class
Date
1.
Solve for x:
2x + 5 = 12
2x + 5 = 12
a)
7
b)
3
c)
3.5
d)
8.5
2.
Solve for x:
4x + 1 = 7x - 5
4x + 1 = 7x - 5
a)
-1
b)
2
c)
6/11
d)
8
3.
Solve for x:
2(3x + 4) + 2 = 4 + 3x
2(3x + 4) + 2 = 4 + 3x
a)
2
b)
-2/3
c)
10
d)
-2
4.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
5.
Which graph matches the inequality
r ≥ -6?
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
6.
Which graph matches the inequality
b ≥ -3/2?
b ≥ -3/2?
a)
A
b)
B
c)
C
d)
D
7.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
8.
a)
b = 3A - a - c
b)
b = -3A + a - c
c)
b = -3A - a - c
d)
b = 2A - c
9.
Solve:
8x + 4y = 16 , for y
8x + 4y = 16 , for y
a)
y = -2x + 4
b)
y = 2x - 4
c)
y = 2x + 4
d)
y = -2x - 4
10.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
11.
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.
12.
Is this table a function or not a function?
a)
Function
b)
Not a Function
13.
a)
F
b)
G
c)
H
d)
J
14.
What is the RANGE of this graph?
a)
-7<x<5
b)
-7≤x<5
c)
-3<x<1
d)
-3≤x<1
15.
a)
A
b)
B
c)
C
d)
D
16.
Which of the graphs shows that one of runners started 10 yards further ahead of the other?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
17.
Between which seconds is the line INCREASING?
a)
Between 7 and 12 seconds
b)
Between 0 and 1 seconds
c)
Between 1 and 5 seconds
d)
Between 12 and 13.5 seconds
18.
a)
F
b)
G
c)
H
d)
J
19.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
20.
What is the y-intercept of the following equation? Y=-2/3x-1
a)
2/3
b)
2
c)
3
d)
-1
21.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
22.
Evaluate f(-2) if f(x) = x+3
a)
-1
b)
1
c)
5
d)
-5
23.
Given
f(x)= 2x2 + 5x - 17, find f(-1).
f(x)= 2x2 + 5x - 17, find f(-1).
a)
f(-1) = -20
b)
f(-1) = -24
24.
For what value of x does f(x) = -2?
a)
0
b)
-5
c)
3
d)
-3
25.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
26.
Graph. y = -4
a)
a
b)
b
c)
c
d)
d
27.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
28.
The equation y = 3x + 8 models the amount of snow in inches(y) after x hours.
Interpret the y-intercept
a)
8 inches of snow falls in 3 hours.
b)
3 inches of snow falls in 8 hours.
c)
When we started measuring, there were already 8 inches of snow on the ground.
d)
Every hour, 3 new inches of snow accumulates.
29.
Janice is saving money for retirement. The equation y = 500x + 12,000 models her retirement savings where y is the total she has saved in dollars, and x is the number of months.
Interpret the y-intercept.
a)
Janice started with $500 in her account
b)
Janice started with $12,000 in her account
c)
Each month, Janice saves an additional $500
d)
Each month, Janice saves an additional $12,000
30.
The graph represents gasoline consumption when driving a certain distance in km. What is the meaning of the slope?
a)
The tank started with 50 L of gasoline
b)
the amount of gasoline consumed per km driven
c)
the distance it takes to lose a Liter of gas
d)
the gasoline is leaking because the slope is negative.
31.
What is the equation of the line that has a slope of 5 and goes through the point (2,7)?
a)
y = 5x + 3
b)
y = 1/5x - 3
c)
y = 1/5x + 3
d)
y = 5x - 3
32.
Find the equation of the line that goes through the points (3,8) and (9,16).
a)
y = 4/3x - 12
b)
y = 4/3
c)
y = 4/3x + 4
d)
4/3
33.
Write the an equation for the graph shown.
a)
-2y = x + 4
b)
2y = x +2
c)
y = 1/2x + 2
d)
2y = -x - 4
34.
Write an equation for a line that is perpendicular to the graph shown and passes through the point (4,-1)
a)
y = 2x + 3
b)
y = 1/2x - 3
c)
y = 1/2x - 1
d)
y = -2x + 1
35.
Write an equation for the line that passes through the point (5, -4) and is parallel to the line y = 2x + 3.
a)
y = -2x + 14
b)
y = 2x - 14
c)
y = 2x - 6
d)
y = -1/2x + 6
36.
Given the three equations, decide which answer describes them.
A) y = 4x + 2
B) x + 4y = 3
C) -8y - 2x = 16
A) y = 4x + 2
B) x + 4y = 3
C) -8y - 2x = 16
a)
A is parallel to C
b)
B is parallel to A
c)
C is perpendicular to A
d)
B is perpendicular to C
37.
The linear regression equation is y = 61.93x - 1.79. Use the equation to predict how far this person will travel after 10 hours of driving.
a)
10 miles
b)
617.5 miles
c)
0.19 miles
d)
500 miles
38.
A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.
a)
y = 1.5x + 12
b)
y = 12x + 1.5
c)
y = 0.67x - 8
d)
y = -8x + 0.67
39.
A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.
a)
y = 61.93x - 1.79
b)
y = -1.79x + 61.93
c)
y = 0.016x + 0.03
d)
y = 0.03x + 0.016
40.
The drama club sold tickets to a play for $5 each. They also made $55 in soda and popcorn sales. If the drama club made a total of $290, how many tickets were sold?
a)
47
b)
58
c)
69
d)
113
41.
Andrea earns a flat fee of $20 per day plus an additional x dollars for each sale she makes. Andrea made 10 sales last Saturday and earned a total of $80. How much does Andrea earn for each sale she makes?
a)
$6
b)
$8
c)
$10
d)
$12
42.
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
43.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service. Which service is cheaper for 8 movies in one month?
a)
Beth's service ($38 vs. $40) is cheaper
b)
Nate’s service ($42 vs. $44) is cheaper
c)
Nate’s service ($38 vs. $40) is cheaper
d)
Beth's service ($42 vs. $44) is cheaper
44.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
45.
Who weighed more at the beginning of the show?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They weighed the same
46.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
47.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
48.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
49.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
50.
Solve the system of equations.
x + 2y = -3
x - y = -12
x + 2y = -3
x - y = -12
a)
(-9, 3)
b)
(-7 ,5)
c)
(3, 15)
d)
(9, 6)
51.
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)
∅
52.
Solve for x and y
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
53.
What is the solution to this system?
a)
(-2, -2)
b)
(2, -2)
c)
(-2,2)
d)
(2, 2)
54.
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
55.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
56.
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)
57.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
58.
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?
a)
1s + 3c = 38
2s + 3c = 52
2s + 3c = 52
b)
3s + 1c = 38
3s + 2c = 52
3s + 2c = 52
c)
s + c = 38
s + c = 52
s + c = 52
d)
3s + 3c = 38
1s + 2c = 52
1s + 2c = 52
59.
Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many nickels and dimes did Dennis earn?
a)
40 nickels, 40 dimes
b)
52 nickels, 28 dimes
c)
28 nickels, 52 dimes
d)
30 nickels, 50 dimes
60.
Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?
a)
$5
b)
$10
c)
$15
d)
$20
61.
(4x3)2
a)
8x5
b)
8x6
c)
16x5
d)
16x6
62.
(3x4)(4x2)
a)
7x6
b)
12x6
c)
7x8
d)
12x8
63.
7x3y2/2xy
a)
7x2y/2
b)
7x3y2/2
c)
14x2y
d)
14x4y3
64.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
65.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
66.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
67.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
68.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
69.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
A=10(1.01)3
a)
Growth
b)
Decay
70.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
71.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 7y2 - 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
72.
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
73.
Find the product:
(5n-8)(5n+8)
(5n-8)(5n+8)
a)
25n2-64
b)
10n2
c)
5n2+16
d)
16
74.
Find the product:
(3r-4)(7r-5)
(3r-4)(7r-5)
a)
21r2-43r+20
b)
21r+43r2+9
c)
7r+12r
d)
r+2r
75.
What is the factored form of x2+16x+15
a)
(x+1)(x+15)
b)
(x+3)(x+5)
c)
(x-3)(x-5)
d)
(x-1)(x+15)
76.
Find the factors of 4x2-16x-9
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)
77.
What are the factors of 3x2-17x+10
a)
(x-5)(3x-2)
b)
(x+5)(3x+2)
c)
(3x-5)(x-2)
d)
(x+5)(3x-2)
78.
What is the factored form of 25x2-9
a)
(5x+3)(5x-3)
b)
(x+5)(x-3)
c)
(x-3)(x+5)
d)
(5x+3)(3x+5)
79.
Name the x-intercept(s)?
a)
(0, 0)
b)
(2, 4)
c)
(0, 0) and (0, 4)
d)
(0, 0) and (4, 0)
80.
What is the vertex of the graph?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
81.
What's the y-intercept of y = 3x2- 6x + 4
a)
(4,0)
b)
(-4,0)
c)
(0,-4)
d)
(0,4)
82.
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
83.
What is the axis of symmetry of y=2x2-4x+9?
a)
x = 1
b)
x = -1
c)
x = -2
d)
x = 4
84.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
all real numbers
85.
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation
s(t) = –16t2 + 64t + 80
What will be the object's maximum height?
a)
2 ft
b)
80 ft
c)
144 ft
d)
64 ft
86.
You jump off a 24 foot high cliff and your fall is modeled by the function:
h(t) = -16t2 + 8t + 24
How long would it take you to hit the water?
a)
8 seconds
b)
1 second
c)
1.5 seconds
d)
1/4 second
87.
You jump off a 24 foot high cliff and your fall is modeled by the function:
h(t) = -16t2 + 8t + 24
When would you reach 16 feet above the water?
a)
8 seconds
b)
1 second
c)
1/2 second
d)
1/4 second
88.
The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function:
p= -15x2 +600x +60
What is the maximum profit you can make from selling tickets?
a)
$6060
b)
$20
c)
$600
d)
$10,250
89.
Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:
h = -16t2 + 80
About how long did it take for the balloon to hit the ground?
a)
1.73 seconds
b)
2.24 seconds
c)
2.45 seconds
d)
2.83 seconds
90.
If each mark on the x-axis represents one second, when did the object reach the ground?
a)
2.5 seconds
b)
6 seconds
c)
5.5 seconds
d)
5 seconds
91.
Given the table, determine the equation of the function.
a)
y = 4(4)x
b)
y = 4(¼)x
c)
y = 4(x-0)2 + 4
d)
y = 2(x-1)2 + 16
92.
Given the table, determine the equation of the function.
a)
y = 4x + 1
b)
y = 1x + 4
c)
y = -4x + 1
d)
y = -1x + 4
93.
Given the table, determine the equation of the function.
a)
y = 2(½)x
b)
y = 2x + 3
c)
y = -3x + 2
d)
y = 3(2)x
94.
What is the positive difference in the y-intercepts of the following equations?
a)
7
b)
11
c)
13
d)
19
95.
Which of the following has the largest y-intercept?
a)
y = 5(8)x
b)
x2 – 5x + 4 = -3
c)
-4x + 8y = 16
d)
y = 5x2 -11x + 4
96.
Two functions are shown below.
For what positive minimum value of x will f(x) exceed g(x)?
f(x) = x² - 5x + 6
g(x) = 2x + 8
a)
x = 3
b)
x = 5
c)
x = 7
d)
x = 8
97.
Find the distance between the points (4, 3) and (0, 6).
a)
3
b)
4
c)
5
d)
7
98.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
99.
What is the midpoint between (3, -1) and (8, -6)
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
100.
Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
101.
Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How far is Becky from the school?
a)
14 blocks
b)
12 blocks
c)
10 blocks
d)
8.5 blocks
102.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
103.
Find the interquartile range of the data set
a)
76
b)
43
c)
16
d)
92
104.
True of false, 75% of the data values are greater than 18?
a)
True
b)
False, 75% of the values are greater than 16
c)
False, 50 % of the values are greater than 18
d)
False, 25% of the values are greater than 18
105.
What is the difference in the upper extremes of the two plots?
a)
18
b)
40
c)
22
d)
16
106.
How many people watched more than 6 hours of TV?
a)
10
b)
5
c)
20
d)
17
107.
Which interval has 400 employees?
a)
33-43
b)
0-10
c)
77-87
d)
66-76
108.
How many students scored between a 86 and a 90?
a)
1
b)
3
c)
6
d)
10
109.
a)
symmetric, with outliers
b)
symmetric, with no outliers
c)
skewed to the left
d)
skewed to the right
110.
a)
the data is skewed to the left
b)
the data is skewed to the right
c)
the shape is symmetric with an outlier
d)
the shape is symmetric without an outlier
111.
a)
the spread for Sophie's Cafe is greater than Red Brick Grill
b)
the spread for Red Brick Grill is greater than Sophie's Cafe
c)
both are symmetric
d)
the median prices are the same for both
112.
The prices at several different stores for a pair of shoes are shown below.
$78, $79, $81, $82, $83
Two days later, another store has the same shoes on sale for $65. How does the new price affect the data?
$78, $79, $81, $82, $83
Two days later, another store has the same shoes on sale for $65. How does the new price affect the data?
a)
Only the range was affected.
b)
The median increased, and the range increased.
c)
The mean increased, and the range increased.
d)
The mean decreased and the range increased.
113.
The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?
a)
The mean will decrease
b)
The median will decrease
c)
The mean will increase
d)
The median will increase
114.
Gabriella’s quiz grades are shown below.
88, 92, 92, 96, 98
Gabriella scored a 20 on her sixth quiz. What effect does this score have?
88, 92, 92, 96, 98
Gabriella scored a 20 on her sixth quiz. What effect does this score have?
a)
The low score causes the median to increase.
b)
The low score causes the median to decrease.
c)
The low score causes the mean to increase.
d)
The low score causes the mean to decrease.
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