Free Printable EOC Review #1

1.

Find the vertex of the quadratic function: y = 4x²+ 24x + 5

a)

(−3, −31)

b)

(3, 113)

c)

(−3, −76)

d)

(3, 5)

2.

What is the vertex of x²+10x+24?

a)

(-5,-1)

b)

(5,1)

c)

(6, 4)

d)

(-6,-4)

3.

What is the vertex of this parabola?

a)

(0, 5)

b)

(2, 1)

c)

(-1, 2)

d)

(-2, 1)

4.

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

5.

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

6.

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

7.

Given the system, determine a solution.

a)

No solution

b)

Infinite solutions

c)

(-5, 5)

d)

(5, -5)

8.

Given the graph, determine which is NOT a solution.

a)

(0, 0)

b)

(2, -1)

c)

(-2, -2)

d)

(-5, 1)

9.

Determine the ordered pair that IS a solution.

a)

(2, 2)

b)

(2, 4)

c)

(3, 2)

d)

(-3, 2)

10.

Which expression is equivalent to (10 + 7r - r²) + (-6r²- 18 + 5r)?

a)

-7r²+ 2r + 8

b)

7r²+ 12r + 8

c)

-7r²+ 12r - 8

d)

7r²+ 2r - 8

11.

a)

A

b)

B

c)

C

d)

D

12.

If f(x)=3x-9, find f(5).

a)

f(5) = 6

b)

f(5) = 16

c)

f(5) = -4

d)

f(5) = 24

13.

Solve for n:
6 - (8 - 4n) = 2(2n - 1)

a)

No solution

b)

n = 0

c)

All real solutions

d)

n = -2

14.

Write the equation of the line with slope = 5 and that goes through point (3, -5)

a)

y = 5x - 5

b)

y = 5x - 20

c)

y = 5x + 20

d)

y = 5x + 15

15.

Solve for x:
4 - 5x < 22 - 2x

a)

x > -6

b)

x < -6

c)

x > 6

d)

x < 6

16.

Write the equation of the line that goes through the points (4, 7) and (0, -5)

a)

y = 1/3x + 7

b)

y = 3x + 7

c)

y = 1/3x - 5

d)

y = 3x - 5

17.

Simplify completely

a)

3x⁵y⁷

b)

(1/3)x⁻⁷y⁵

c)

y⁵/3x⁷

d)

1/3x²

18.

a)

b)

c)

d)

19.

Solve the System of Equations
y = 6x − 11
−2x − 3y = −7

a)

(1, 2)

b)

(3, 4)

c)

(2, 1)

d)

(4, 3)

20.

Last week, a candle store received $355.60 for selling 20 candles. Small candles sell for $10.98 and large candles sell for $27.98. How many large candles did the store sell?

a)

6

b)

8

c)

10

d)

12

21.

Which inequality is represented in the graph below?

a)

y ≥ −3x + 4

b)

y ≤ 3x + 4

c)

y ≥ −4x − 3

d)

y ≤ −4x − 3

22.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

23.

Mr. Ciaccia hits a fly ball. You can track the height of the ball using the equation: h(t) = -16t² + 140t + 3
What was the starting height of the ball?

a)

-16 feet

b)

140 feet

c)

3 feet

d)

0 feet

24.

The graph of which equation would translate the parent function up 2 and to the left 4?

a)

y = (x - 4)²+ 2

b)

y = (x + 4)² + 2

c)

y = (x + 4)² - 2

d)

y = (x - 4)²- 2

25.

What is the solution to the inequality?

a)

x ≤ 3

b)

x ≥ 3

c)

x ≤ -3

d)

x ≥ -3

26.

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

a)

y = 8x + 50

b)

C = 50m +8

c)

y = 50x + 8

d)

C = 8m + 50

27.

$\frac{4x\ +\ 16}{12}=\ x\ -\ 4$ What is the value of x in the equation

a)

-8

b)

-4

c)

4

d)

8

28.

Which graph represents the function $f\left(x\right)\ =\ -3x\ +\ 7$

a)

b)

c)

d)

29.

Which two relations represent functions?

a)

b)

c)

d)

e)

{(2,1), (4,1), (6,1), (8,1), (10,1), (12,1)}

30.

What are the most appropriate units for the rate of change in the graph?

a)

$\frac{1}{dollars\ x\ stic\ker s}$

b)

$\frac{dollars}{stic\ker s}$

c)

$\frac{stic\ker s}{dollars}$

d)

$\frac{dollars\ x\ stic\ker s}{1}$

31.

What is the solution to the inequality $4\left(x-1\right)\ \le\ \frac{x+6}{2}$ ?

a)

$x\le\frac{1}{2}$

b)

$x\ge\frac{1}{2}$

c)

$x\le2$

d)

$x\ge2$

32.

Which student describes the function correctly?

a)

Student 1

b)

Student 2

c)

Student 3

d)

Student 4

33.

A tree is currently 2 feet tall and grows 1.3 feet per year. Which inequality represents the time, in x years, when the tree will have a height of at least 20 feet?

a)

$2x\ +\ 1.3\ \le20$

b)

$2x\ +\ 1.3\ \ge20$

c)

$1.3x\ +\ 2\ \le20$

d)

$1.3x\ +\ 2\ \ge20$

34.

Two students solve the equation $4(x-1)+3x=6-x+6$ .
Which statement is true?

a)

Both students solve the equation correctly and each makes no mistakes.

b)

Both students solve the equation incorrectly and each makes mistakes.

c)

Only Student 1 solves the equation correctly, while Student 2 solves the equation incorrectly.

d)

Only Student 2 solves the equation correctly, while Student 1 solves the equation incorrectly.

35.

Which of the following quantity(-ies) is/are necessary to accurately estimate the monthly budget for the cost of dog food for a single dog?

SELECT ALL THAT APPLY

a)

amount of dog food eaten per meal

b)

cost per bag of dog food

c)

dog breed

d)

number of daily meals

36.

Which inequality best represents the domain for the function f(x)?

a)

$0\le f\left(x\right)\le8$

b)

$0\le x\le8$

c)

$3\le f\left(x\right)\le7$

d)

$3\le x\le7$

37.

Which function, f(t), represents the number of boxes of paper that still need to be processed after t hours?

a)

b)

c)

d)

38.

Which statement is true?

a)

The value of f(16) is 110, and it represents only the number of guests seated at 16 small tables.

b)

The value of f(16) is 110, and it represents only the number of guests seated at the venue with 16 small tables set up.

c)

The value of f(16) is 154, and it represents only the number of guests seated at 16 small tables.

d)

The value of f(16) is 154, and it represents only the number of guests seated at the venue with 16 small tables set up.

39.

What is the value of g(14)?

a)

33 guests

b)

49 guests

c)

51 guests

d)

56 guests

40.

Which function best represents the distance remaining, in miles, after x minutes.

a)

b)

c)

d)

41.

Which statement is true for the function represented by the table?

a)

the function has a y-intercept at (0,360)

b)

the function has a y-intercept at (360,0)

c)

the function has an x-intercept at (0,360)

d)

the function has a x-intercept at (360,0)

42.

Which statement is true?

a)

Friend 1 is farther from the restaurant the Friend 2 at the start of the drive.

b)

Friend 2 is farther from the restaurant the Friend 1 at the start of the drive.

c)

It takes Friend 1 ten minutes to drive to the restaurant.

d)

It takes Friend 1 sixteen minutes to drive to the restaurant.

43.

Which equation represents this situation?

a)

15x + 10y = 3,050

b)

15x - 10y = 3,050

c)

10x + 15y = 3,050

d)

10x - 15y = 3,050

44.

Factor each completely.
x⁴ - 16

a)

(x² + 4)(x² - 4)

b)

(x² + 4)(x + 2)(x + 2)

c)

(x² - 4)(x² - 4)

d)

(x² + 4)(x + 2)(x - 2)

45.

Solve the System of Equations
y = 6x − 11
−2x − 3y = −7

a)

(1, 2)

b)

(3, 4)

c)

(2, 1)

d)

(4, 3)

46.

Factor each completely.
16x⁴ - 81

a)

(4x² + 9)(4x² - 9)

b)

(4x² + 9)(2x + 3)(2x - 3)

c)

(4x² + 9)(4x² + 9)

d)

(4x² + 9)(2x + 3)(2x + 3)

47.

Solve the System of Equations
y = -2
5x - 4y = -3

a)

(3, 2)

b)

(-3, 2)

c)

(-3, -2)

d)

(3, -2)

48.

Factor each completely.
2x² + 3x - 9

a)

(2n + 3)(n - 3)

b)

(3n - 2)(n + 2)

c)

(2n - 3)(n + 3)

d)

(3n + 2)(n - 2)

49.

Four expressions are shown below.
I 2(2x² − 2x − 60)
II 4(x² − x − 30)
III 4(x + 6)(x − 5)
IV 4x(x−1)−120
The expression4x² −4x−120 is equivalent to

a)

I and II, only

b)

II and IV, only

c)

I, II, and IV

d)

II, III, and IV

50.

Last week, a candle store received $355.60 for selling 20 candles. Small candles sell for $10.98 and large candles sell for $27.98. How many large candles did the store sell?

a)

6

b)

8

c)

10

d)

12

51.

Which inequality is represented in the graph below?

a)

y ≥ −3x + 4

b)

y ≤ 3x + 4

c)

y ≥ −4x − 3

d)

y ≤ −4x − 3

52.

Factor each completely.
3p² - 2p - 5

a)

(3p - 5)(p + 1)

b)

(3p -1)(p + 5)

c)

(3p + 5)(p - 1)

d)

(3p + 5)(p + 1)

53.

To watch a varsity basketball game, spectators must buy a ticket at the door. The cost of an adult ticket is $3.00 and the cost of a student ticket is $1.50. If the number of adult tickets sold is represented by a and student tickets sold by s, which expression represents the amount of money collected at the door from the ticket sales?

a)

4.50as

b)

4.50(a + s)

c)

(3.00a)(1.50s)

d)

3.00a + 1.50s

54.

A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill?

a)

c = 60 - 0.05d

b)

c = 60.05d

c)

c = 60d - 0.05

d)

c = 60 + 0.05d

55.

The owner of a small computer repair business has one employee, who is paid an hourly rate of $22. The owner estimates his weekly profit using the function P(x) = 8600 − 22x . In this function, x represents the number of

a)

computers repaired per week

b)

hours worked per week

c)

customers served per week

d)

days worked per week

56.

A typical cell phone plan has a fixed base fee that includes a certain amount of data and an overage charge for data use beyond the plan. A cell phone plan charges a base fee of $62 and an overage charge of $30 per gigabyte of data that exceed 2 gigabytes. If C represents the cost and g represents the total number of gigabytes of data, which equation could represent this plan when more than 2 gigabytes are used?

a)

C=30+62(2−g)

b)

C=30+62(g−2)

c)

C=62+30(2−g)

d)

C=62+30(g−2)

57.

Which recursively defined function has a first term equal to 10 and a common difference of 4?

a)

f(1) = 10
f(x)=f(x−1)+4

b)

f(1) = 4 f(x) = f(x −1)+10

c)

f(1) = 10
f(x)=4f(x −1)

d)

f(1) = 4
f(x)=10f(x−1)

58.

Which domain would be the most appropriate set to use for a function that predicts the number of household online-devices in terms of the number of people in the household?

a)

integers

b)

wholes numbers

c)

irrational numbers

d)

rational numbers

59.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

60.

Solve

2\left(4w-1\right)=-10\left(w-3\right)+4

a)

2

b)

-2

c)

0

d)

-1

61.

8 > -7 (-3x + 8) -2 ( 3x - 2)

a)

x < -5

b)

x > -38

c)

x < 4

d)

x > -5

62.

$5x-10>-15\ \ \ \ \ or\ \ \ \ 7x-3\le-59$

a)

$x>0$

b)

$x\ge-1\ \ \ or\ \ \ x\le-8$

c)

$x>0\ \ \ or\ \ \ x\le-8$

d)

$x<1\ \ \ or\ \ \ x\ge8$

63.

$3+7x-2x=23$

a)

No Solution

b)

4

c)

12

d)

-4

64.

Find the average rate of change of Pete's height from 3 years old to 5 years old.

a)

2 inches per year

b)

8 inches per year

c)

2 years

d)

4 inches per year

65.

Select all the graphs that represent functions.

a)

b)

c)

d)

e)

66.

If $f\left(x\right)=-10x-5$ , what is the value of $f\left(1\right)$ ?

a)

$-15$

b)

$-5$

c)

$5$

d)

$15$

67.

$4x-5=-2-4x+7x$

a)

3

b)

8

c)

-4

d)

-5

68.

Which graph represents the inequality?

$-2x-3<y$

a)

b)

c)

d)

69.

Which statements are true? Select THREE that apply.

a)

The point (0, 0) is a solution

b)

Points along the boundary are not included in the solution.

c)

Points along the boundary are included in the solution.

d)

The point (0, 5) is a solution

70.

What is the y-intercept?

a)

15

b)

14.6

c)

0

d)

12

71.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

72.

Which statement could be represented by the expression 5x+4

a)

four more than five plus x

b)

Five plus four

c)

four more than the product of five and a number.

d)

The product of five times a number and 4

73.

Jacob has $10 less than triple the amount Ty has. Which expression represents Jacob's amount if Ty has x dollars?

a)

10-3x

b)

10+3x

c)

3x-10

d)

3x+10

74.

Evaluate the expression(

(7+4×2)÷3

a)

8/3

b)

22/3

c)

60

d)

3

75.

Evaluate the expression∣
$\left|20-5^2\right|+4\times5$

a)

25

b)

45

c)

15

d)

-5

76.

Which statement is an example of reflexive property?

a)

If A = B then B = A

b)

C=C

c)

If A=B then A+C = B+C

d)

If A=B and B= C then A= C

77.

What property is illustrated by the equation A+ 0=A

a)

Multiplicative Property of Zero

b)

Multiplicative Identity Property

c)

Additive Identity Property

d)

Additive Inverse Property

78.

Between which steps does Morgan use distribution property to justify her work?

a)

Between 1 and 2

b)

Between 2 and 3

c)

Between 3 and 4

d)

Between 4 and 5

79.

What is the value of the expression when x = -3 $\frac{x^2-5}{2-x}$

a)

-14/5

b)

14

c)

-14

d)

4/5

80.

What is the value of 2y + 2(xz-y) when x=3, y=4 and z=-1

a)

8

b)

-4

c)

20

d)

5

81.

Solve for x: $5x-12=\frac{3}{2}\left(12x+18\right)$

a)

3

b)

5

c)

-3

d)

10

82.

Solve for x: 4(3x+1)−2(x−2)=13

a)

2

b)

13/10

c)

1/2

d)

10

83.

Solve for x: 5x+6=7x-20

a)

13

b)

52

c)

-7

d)

2

84.

Solve for x: 4(x-3) = -2x + 12 - 6x

a)

0

b)

2

c)

6

d)

-2

85.

Solve for x: $\frac{6}{x-6}=\frac{9}{x-4}$

a)

0

b)

6

c)

10

d)

4

86.

The formula for the perimeter of a rectangle is P= 2W+2L. Which equation solves the formula for W?

a)

$W=\frac{p}{2}+2L$

b)

$W=\ \frac{P-2L}{2}$

c)

$W=\frac{P}{2}-2L$

d)

$W=\frac{P+2W}{2}$

87.

Solve for y: 5x - y =3

a)

y=5x+3

b)

y=5x-3

c)

y=-5x+3

d)

y=-5x-3

88.

What is the solution to h in the following equation: $A=\frac{bh}{2}$

a)

$h=\frac{Ab}{2}$

b)

$h=\frac{2A}{b}$

c)

$h=2Ab$

d)

$h=\frac{A}{2b}$

89.

What is the solution to the following inequality? −8<7−5x

a)

x < 3

b)

x > 3

c)

x < 1/5

d)

x > 1/5

90.

Solve the inequality for y:

4−2y>4y−12+2y

a)

y < 4

b)

y > 4

c)

y < 2

d)

y > 2

91.

Describe the graph of the solution to the inequality

−7(x+9)≥37+3x

a)

Closed circle at 10 with the arrow pointing to the left

b)

Closed circle at -10 with the arrow pointing to the left

c)

Closed circle at 10 with the arrow pointing to the right

d)

Closed circle at -10 with the arrow pointing to the right

92.

Find Domain and Range

a)

F

b)

G

c)

H

d)

J

93.

Find the Equivalent

a)

A

b)

B

c)

C

d)

D

94.

Find the equation that matches the table.

a)

F

b)

G

c)

H

d)

J

95.

Find the Equivalent

a)

F

b)

G

c)

H

d)

J

96.

Find the Equation that matches the graph

a)

F

b)

G

c)

H

d)

J

97.

a)

F

b)

G

c)

H

d)

J

98.

Find the Max

(a)

99.

a)

A

b)

B

c)

C

d)

D

100.

a)

F

b)

G

c)

H

d)

J

101.

a)

A

b)

B

c)

C

d)

D

102.

Find the Slope

a)

A

b)

B

c)

C

d)

D

103.

Factor each completely.
x⁴ - 16

a)

(x² + 4)(x² - 4)

b)

(x² + 4)(x + 2)(x + 2)

c)

(x² - 4)(x² - 4)

d)

(x² + 4)(x + 2)(x - 2)

104.

Solve the System of Equations
y = 6x − 11
−2x − 3y = −7

a)

(1, 2)

b)

(3, 4)

c)

(2, 1)

d)

(4, 3)

105.

Factor each completely.
16x⁴ - 81

a)

(4x² + 9)(4x² - 9)

b)

(4x² + 9)(2x + 3)(2x - 3)

c)

(4x² + 9)(4x² + 9)

d)

(4x² + 9)(2x + 3)(2x + 3)

106.

Solve the System of Equations
y = -2
5x - 4y = -3

a)

(3, 2)

b)

(-3, 2)

c)

(-3, -2)

d)

(3, -2)

107.

Factor each completely.
2x² + 3x - 9

a)

(2n + 3)(n - 3)

b)

(3n - 2)(n + 2)

c)

(2n - 3)(n + 3)

d)

(3n + 2)(n - 2)

108.

Four expressions are shown below.
I 2(2x² − 2x − 60)
II 4(x² − x − 30)
III 4(x + 6)(x − 5)
IV 4x(x−1)−120
The expression4x² −4x−120 is equivalent to

a)

I and II, only

b)

II and IV, only

c)

I, II, and IV

d)

II, III, and IV

109.

Last week, a candle store received $355.60 for selling 20 candles. Small candles sell for $10.98 and large candles sell for $27.98. How many large candles did the store sell?

a)

6

b)

8

c)

10

d)

12

110.

Which inequality is represented in the graph below?

a)

y ≥ −3x + 4

b)

y ≤ 3x + 4

c)

y ≥ −4x − 3

d)

y ≤ −4x − 3

111.

Factor each completely.
3p² - 2p - 5

a)

(3p - 5)(p + 1)

b)

(3p -1)(p + 5)

c)

(3p + 5)(p - 1)

d)

(3p + 5)(p + 1)

112.

To watch a varsity basketball game, spectators must buy a ticket at the door. The cost of an adult ticket is $3.00 and the cost of a student ticket is $1.50. If the number of adult tickets sold is represented by a and student tickets sold by s, which expression represents the amount of money collected at the door from the ticket sales?

a)

4.50as

b)

4.50(a + s)

c)

(3.00a)(1.50s)

d)

3.00a + 1.50s

113.

A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill?

a)

c = 60 - 0.05d

b)

c = 60.05d

c)

c = 60d - 0.05

d)

c = 60 + 0.05d

114.

The owner of a small computer repair business has one employee, who is paid an hourly rate of $22. The owner estimates his weekly profit using the function P(x) = 8600 − 22x . In this function, x represents the number of

a)

computers repaired per week

b)

hours worked per week

c)

customers served per week

d)

days worked per week

115.

A typical cell phone plan has a fixed base fee that includes a certain amount of data and an overage charge for data use beyond the plan. A cell phone plan charges a base fee of $62 and an overage charge of $30 per gigabyte of data that exceed 2 gigabytes. If C represents the cost and g represents the total number of gigabytes of data, which equation could represent this plan when more than 2 gigabytes are used?

a)

C=30+62(2−g)

b)

C=30+62(g−2)

c)

C=62+30(2−g)

d)

C=62+30(g−2)

116.

Which recursively defined function has a first term equal to 10 and a common difference of 4?

a)

f(1) = 10
f(x)=f(x−1)+4

b)

f(1) = 4 f(x) = f(x −1)+10

c)

f(1) = 10
f(x)=4f(x −1)

d)

f(1) = 4
f(x)=10f(x−1)

117.

Which domain would be the most appropriate set to use for a function that predicts the number of household online-devices in terms of the number of people in the household?

a)

integers

b)

wholes numbers

c)

irrational numbers

d)

rational numbers

EOC Review #1

Total questions: 117

Worksheet time: 8hrs 30mins

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