Free Printable Algebra I EOC

1.

a)

A

b)

B

c)

C

d)

D

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

35 cm

b)

43

c)

75

d)

19

4.

a)

3√7⋅100

b)

30√10

c)

30√7

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

A

b)

B

c)

C

d)

D

16.

What is the range of the graph?
Remember: Range is y!

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

17.

What is the domain of the graph?
Remember: Domain is x

a)

1≤ x ≤ 4

b)

1 < x < 4

c)

1≤ y ≤ 4

d)

1 < y < 4

18.

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

b)

f + h = 11
4h + 3f = 40

c)

f + h = 40
4f + 3h = 11

d)

f + h = 11
4f + 3h = 40

19.

a)

a

b)

b

c)

c

d)

d

20.

Find the 8th term in the sequence

3, 5, 7, 9, 11, ...

a)

12

b)

15

c)

17

d)

18

21.

a)

a

b)

b

c)

c

d)

d

22.

a)

a

b)

b

c)

c

d)

d

23.

a)

a

b)

b

c)

c

d)

d

24.

Megan painted 1/8 of a room. Jane painted 1/5 of the same room. What part of the room has been painted?

a)

1/40

b)

13/40

c)

2/40

d)

2/13

25.

Ben is 6 5/6 feet tall. Suzie is 5 1/4 feet tall. How much taller is Ben?

a)

1 1/3 ft

b)

1 7/12 ft

c)

1 3/4 ft

d)

1 1/9 ft

26.

Suppose a 12 acre plot of land is being divided into 1/4 acre lots for a hosing development. How many lots will there be in the development.

a)

3 lots

b)

4 lots

c)

36 lots

d)

48 lots

27.

What number is next in the pattern?

1215,-405, 135, -45, ...

a)

5

b)

15

c)

-15

d)

90

28.

Which property is illustrated by the equation

a)

Distributive

b)

Additive Inverse

c)

Associative

d)

Multiplicative Inverse

29.

Which expression is equivalent to -3(4x-2)

a)

1x-2

b)

1x-5

c)

-12x-2

d)

-12x+6

e)

-12x-6

30.

What is the simplified form of the expression

7c+2d+3+c-d-5

a)

7c+2d+8

b)

8c+3d+2

c)

8c+3c-2

d)

8c+d-2

31.

Which of the following represents the expression simplified?

(2x-1)+ (-6x+3)

a)

8x-2

b)

4x+2

c)

-4x-2

d)

-4x+2

32.

What is the result when (5x-2) is subtracted from (-2x+3)

a)

3x+1

b)

-7x+5

c)

7x-5

d)

-3x-1

33.

Which of the following linear expressions cannot be factored?

a)

15x-20

b)

2x+8

c)

3x-6

d)

7x+3

34.

Suppose each length of a square is increased by 3 feet. If the perimeter of the square is now 48 feet. what were the original side lengths of the square?

a)

9 ft

b)

12 ft

c)

15 ft

d)

18 ft

35.

Which operation should be performed first to solve the inequality -2x-3<9

a)

Add 3 to each side

b)

Subtract 3 from each side

c)

add 2 to each side

d)

Divide each side by -2

e)

Reverse the inequality symbol

36.

Marla and Candy are solving the inequality -3x<12. Marla says the solution is x<-4, while Candy says the solution is x>-4. Which student is correct?

a)

Marla

b)

Candy

c)

Neither

d)

Both

37.

What is the domain of the function shown?

a)

-5≤x≤7

b)

-2≤x≤4

c)

-4≤x≤5

d)

-6≤y<8

38.

What is the interval of increase and decrease for the function graphed?

a)

The function increases from -∞ to 5 and decrease from 5 to -∞

b)

The function increases from -∞ to 5 and decrease from 5 to ∞

c)

The function increases from -∞ to -4 and decrease from -4 to -∞

d)

The function increases from -∞ to -4 and decrease from -4 to ∞

39.

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=1.09^x

40.

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)

1.04%

c)

I don't know

d)

400%

41.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

42.

Find the vertex of
f(x) = -x²- 4x + 12

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

43.

What is the solution to this system?
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

44.

What are the factors of the expression?
x²-12x+35

a)

(x-5)(x-7)

b)

(x+5)(x+7)

c)

(x-5)(x+7)

d)

(x+5)(x-7)

45.

What are the x-intercepts of the equation?
y=x²+11x+10

a)

10, 11

b)

10,1

c)

-10,-1

d)

2,5

46.

What is the product of the following expression?
4x(x²+2x-3)

a)

4x³+8x²-12x

b)

4x²-8x

c)

4x³+4x-12

d)

0

47.

Write an expression for the following. Jerry has $20 and makes $7 per hour.

a)

7x + 20

b)

7 + 20x

c)

20 + 7

d)

20x+7y

48.

The length of a rectangle is 6 meters more than the width. The area is 72 square meters. Find the length and width.

a)

Length = 6, Width = 12

b)

Length = 18, Width = 4

c)

Length = 12, Width = 6

d)

Length = 4, Width = 6

49.

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

50.

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. When does the maximum height occur?

a)

6 seconds

b)

3 seconds

c)

145 seconds

d)

160 seconds

51.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

perpendicular line

d)

coinciding lines

52.

3(1-3x)=2(-4x+7)

a)

11

b)

-11

c)

-20

d)

20

53.

-31-4x=-5-5(1+5x)

a)

2

b)

1

c)

-1

d)

4

54.

What is the first step to solve this equation:
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.

55.

How many terms are in the expression below:
5a + 7b - 8

a)

one

b)

two

c)

three

d)

five

56.

Which one is the coefficient?
6f²- 9

a)

6

b)

f

c)

2

d)

-9

57.

The graph shows the relationship between the number of gallons of fuel remaining in a truck and the number of hours driven, h.
What does the x-intercept represent?

a)

The number of gallons of fuel in the truck before the driving occurred.

b)

The number of hours the truck was driven before running out of fuel.

c)

The number of gallons of fuel the truck can hold.

d)

The number of hours required to use one gallon of fuel.

58.

What percentage of males drive sports cars?

a)

35%

b)

16.25%

c)

65%

d)

25%

59.

Find the difference.
(7p + 4p³ - 8) - (-3p²+ 2 - 9p)

a)

-3p²+ 4p³ -15 + 9

b)

3p³ + 4p² - p + 3

c)

4p³ -3p² +16p + 10

d)

4p³ +3p² + 16p - 10

60.

Which system of inequality is shown?

a)

y > x - 2
y ≤ 2x + 2

b)

y > x + 2
y ≤ 2x + 2

c)

y ≥ x - 2
y ≤ 2x + 2

d)

none of these are the system

61.

Which equation generates a graph containing
the set of ordered pairs shown below?
{(−15, 12), (−5, 8), (5, 4), (10, 2)}

a)

y = -3/5 x + 3

b)

y = -2/5 x + 6

c)

y = -1/5 x + 9

d)

y = -4/5 x

62.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

63.

Create the explicit(closed) formula for the sequence:
2, 8, 14, ...

a)

a_n=2+6n

b)

a_n=-6+6n

c)

a_n=6n-4

d)

a_n=4-6n

64.

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

a)

a_n = -2n + 8

b)

a₁=6, a_n = a_n - 1 - 2

c)

a₁ = 6, a_n = a_n-1 + 2

d)

a₁ = 6, a_n = a_n-1 - 2

65.

If f(x) = 2x-9, what is f(3)?

a)

6

b)

-3

c)

3

d)

-6

66.

Describe the histogram:

a)

Left Skewed

b)

Aproximately Normal/Symmetric

c)

Right Skewed

d)

Aproximately Uniform

67.

What percentage of the data is between 90 and 140?

a)

25 %

b)

50%

c)

75%

d)

100%

68.

Which city has a higher median?

a)

Millersburg

b)

Arcadia

69.

Find the median.
12, 5, 9, 18, 22, 25, 5

a)

9

b)

8

c)

12

d)

18

70.

Find the mode.
12, 5, 9, 18, 22, 25, 5

a)

22

b)

18

c)

9

d)

5

71.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

72.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

73.

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

74.

Solve for y:
-5 - 7y = -20y + 34

a)

y = 3

b)

y = 1

c)

y = 0.67

d)

y = 46

75.

What operation would you perform first and then second when solving for m in the following equation?
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

76.

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

77.

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

78.

What is the solution to the system of equations?
y = 3x - 8
y = 4 - x

a)

(3,1)

b)

(1,3)

c)

(-3,1)

d)

(3,-1)

79.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

80.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

81.

What is the solution to this system?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

82.

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.

83.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

84.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

85.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

86.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

87.

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

88.

Rewrite
4y = 3 - 4/5x
in standard form.

a)

4x - 20y = 15

b)

4x + 4y = 15

c)

4x + 20y = 15

d)

4x + 4y = 3

89.

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

90.

Write the equation of the horizontal line that goes through (4, 8)

a)

undefined

b)

x = 4

c)

y = 8

d)

y = 2x

91.

Find the slope

a)

0

b)

undefined

c)

-3

d)

6

92.

Find the slope from the graph

a)

0

b)

undefined

c)

5

d)

-5

93.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

94.

Determine the x and y intercepts
4x - 5y = 40

a)

x intercept is 10
y intercept is 8

b)

x intercept is 10
y intercept is 20

c)

x intercept is 8
y intercept is 10

d)

x intercept is 10
y intercept is -8

95.

Select the correct graph for each inequality. y≤ -¾x -1

a)

A

b)

B

c)

C

d)

D

96.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

97.

a)

f(x) = 3x - 5

b)

f(x) = 2x - 4

c)

f(x) = x + 3

d)

f(x) = x + 1

98.

Simplify: 2x⁴(3x³ - x² + 5x)

a)

6x⁷ - x² + 5x

b)

6x¹² - x² + 5x

c)

6x⁷ - 2x⁶ + 10x⁵

d)

6x¹² - 2x⁸ + 10x⁴

99.

a)

b)

c)

d)

100.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

101.

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

102.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

103.

Which of the following is a difference of perfect squares?

a)

x² - 18

b)

4x² + 36

c)

9x² - 100

d)

x² + 4

104.

Factor 4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

105.

Factor completely.
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

106.

Factor completely:
3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

107.

Factor by grouping:
3x³-x²+6x-2

a)

(x²+2)(3x+1)

b)

(x²+2)(3x-1)

c)

(3x³+6x)(x²-2)

d)

none of the aboe

108.

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

109.

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

110.

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

111.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

112.

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

b)

f + h = 11
4h + 3f = 40

c)

f + h = 40
4f + 3h = 11

d)

f + h = 11
4f + 3h = 40

113.

What are the solutions?

a)

0 and 8

b)

-2 and -4

c)

3 and -1

d)

2 and 4

Algebra I EOC

Total questions: 113

Worksheet time: 6hrs 45mins

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