Algebra I Final Exam

Last updated about 3 hours ago

41 questions

Honor Code

Required

0

The Algebra I Final Exam

2.5

A303

2.5

A303

2.5

AF401

2.5

G403

2.5

AF302

2.5

AF302

2.5

AF401

2.5

A602

2.5

A602

2.5

F401

2.5

F604

2.5

Library

Algebra I Final Exam

Last updated about 3 hours ago

41 questions

Honor Code

Required

0

I acknowledge that as a student, I am terrible at cheating and will get caught because Mr. D is faster than me. I further acknowledge that if I touch my phone or speak with other students at any point while this exam is being given, it will constitute academic dishonesty, and I will be failed.

If I finish the exam before the end of the allotted time, I will either:
1. Go back through the exam and check my answers.
2. Close my Chromebook, put my head down, and nap like it's kindergarten.

By signing my name below, I attest that I have read and understood the conditions of this exam.

The Algebra I Final Exam

2.5

A303

2.5

A303

2.5

AF401

2.5

G403

2.5

AF302

2.5

AF302

2.5

AF401

2.5

A602

2.5

A602

2.5

F401

2.5

F604

2.5

I acknowledge that as a student, I am terrible at cheating and will get caught because Mr. D is faster than me. I further acknowledge that if I touch my phone or speak with other students at any point while this exam is being given, it will constitute academic dishonesty, and I will be failed.

If I finish the exam before the end of the allotted time, I will either:
1. Go back through the exam and check my answers.
2. Close my Chromebook, put my head down, and nap like it's kindergarten.

By signing my name below, I attest that I have read and understood the conditions of this exam.

Simplify the following: 9b + 4b – 3b

13b

7b

10b

-9b

Simplify: -9(x -8)-3x(6+10x)

22x – 7 

-62x – 46 

-30x² – 27x + 72 

-30x² – 37x + 72 

What is the price of a jacket that originally cost $100 and was sold for a discount of 35%?

$85

$65

$110

$135

Simplify the following expression:
4x + 24 / 8

\frac{1}{2}x+3

\frac{1}{2}x+24 

\frac{4}{8}x+24 

\frac{1}{2}x+12 

A rectangle has length 2x + 5 and width 3x – 2. What is the expression that represents the perimeter of the rectangle?

5x + 3 

5x + 6 

10x + 3 

10x + 6 

Solve the following: 11 = 6 +\frac {k}{2}

17

10

-15

12

Solve the following: -9 = -3n - 6n

Infinite Solutions

1

11

No Solution

Solve the following for k: 96 = 8(k+5)

7

-9

0

9

Solve the following: 6(2 + 8r) - 4 = 8 - 7r

All real numbers

5

0

No Solution

Currently, airlines charge you for the ticket for the flight plus an extra fee for checked baggage. If you are returning home to Chicago and the ticket cost $250 plus $0.25 per pound to check the bag. If you paid $275 total, how heavy was the bag?

1

6.25

25

100

Solve the following inequality: -3(6n+1) < 141

n < -40 

n < 8 

n < -8 

n > -8 

Solve the following: 92 < 2(6 - 5p)

p < 8 

p < 0 

No Solution 

p < -8 

Solve the following : \frac {3}{x}=\frac{4}{6}

4.5

5

5.3

8.7

Find the value of x when \frac{4}{10} = \frac{x}{x + 6}

-10

-8.3

5

4

Find the value of x when \frac{8}{x - 10} = \frac{2}{x - 2}

2

6\frac{2}{3} 

-\frac{2}{3} 

3\frac{2}{10} 

If f(x) = {x^2} - 5, what is the value of f(-5)?

20

-1

44

76

If f(x) = x² - 5 and
g(x) = 2x + 3,
what is the value of g(f(2))?

7

-1

1

42

Identify if the table below represents a linear or non linear function:

Linear Function

Nonlinear function

Identify if the table below represents a linear or non-linear function:

Linear Function

Nonlinear function

Find the slope of the line.

6

\frac{1}{6}

-\frac{1}{6}

-6

Find the slope of the line that passes through the coordinate points (10,12) and (15,-7).

-\frac{19}{5}

\frac{19}{5}

-\frac{5}{19}

\frac{5}{19}

Which of the following graphs represents the line: y = \frac{3}{2}x - 3

Which of the following graphs represents the line: 5x+3y =-9

What is the slope of the following line?

\frac{3}{2}

-\frac{3}{2}

\frac{2}{3}

-\frac{2}{3}

Steve decided to start a business. He is selling new hover boards that don’t require gasoline. Each hover board that he makes costs a certain amount of money to build. These things are not cheap! Before Steve can make any of the hover boards he must purchase a machine to build them. The graph below is the function that represents Steve’s cost function.

How much did the machine cost that Steve had to purchase in order to start building his hoverboards?

$29,000

$24,000

$16,000

$7,900

Use the table to answer: What is the price per snack?

1.50

3

9

18

Solve the following system of equation:
y = x − 2 3x − 3y = 6

(3,-8)

(8,-8)

Infinite number of solutions

(4,-8)

Solve the following system of equation:
-10x − 4y = -8 -6x + 4y = 8

(-2,0)

(0,-2)

(2,0)

(0,2)

On Tuesday the cafeteria sold pizza slices and burritos. The number of pizza slices sold was 20 less than twice the number of burritos sold. Pizza sold for $2.50 a slice and burritos for $3.00 each. The cafeteria collected a total of $358 for selling these two items.

Which system of equations represents the situation described above?

p = 2b − 20
2.50p + 3.00b = 358 

b = 2p − 20
2.50b + 3.00p = 358 

p = 2b + 20
2.50p + 3.00b = 358 

b = 2p + 20
2.50b + 3.00p = 358 

Simplify: (6x^{4} − 3x^{3} − 2x^{2}) − (5x^{3} − 8x − 3x^{4})

14x^{4} − 8x^{3} − 2x^{2} + 9x 

9x^{4} − 8x^{3} − 2x^{2} + 9x 

14x^{4} − 8x^{3} − 2x^{2} + 8x 

9x^{4 }− 8x^{3} − 2x^{2} + 8x 

Simplify: (7y^{6})^2(2y)^4

784y^{44}

112y^{14}

784y^{14}

14y^{14}

Simplify: \left(\frac{2x^8y^8}{x^6y^7}\right)^{3}

8x^{6}y^3

2x^{18}y^{17}

8x^{2}y

2x^{6}y^3

Simplify: \frac{x^2}{x^7}

x^5

\frac{1}{x^5}

x^{29}

-x^{51}

Factor the following: x^{2}+2x-48

(x + 8)(x + 6)

(x - 5)(x - 1)

6x(x - 6)

(x + 8)(x - 6)

Factor the following:
4v^{2}-16v+7

(4v + 3)(v + 4)

(4v + 4)(v + 7)

(2v - 1)(2v - 7)

(2v + 1)(2v - 7)

A rectangular campground has length 4x+7 and width 3x-2. What is the area of the campground?

14x + 10 

7x + 5 

12x{^2}+7x-14 

12x{^2}+13x-14 

Solve the quadratic equation: r² - 18 = -3r

{−3, −7}

{3, −6}

{2, −6}

{8, −5}

Solve the quadratic equation: x² − 4x − 5 = 0

{1, −5}

{−1, 5}

{−1, −4}

{6, 1}

Solve the quadratic equation: x² = 5x + 14

{5, −7}

{−2, 7}

{−6, 8}

{−5, 4}

Luka throws a basketball from an initial height of 6 feet with a vertical velocity of 46 feet per second. The equation that represents the height of the ball in terms of time in seconds can be represented by the function: h(t) = -16x²+46x+6. After how many seconds does the ball hit the ground?

1

2

3

4

Simplify the following: 9b + 4b – 3b

13b

7b

10b

-9b

Simplify: -9(x -8)-3x(6+10x) 

22x – 7 

-62x – 46 

-30x² – 27x + 72 

-30x² – 37x + 72 

What is the price of a jacket that originally cost $100 and was sold for a discount of 35%?

$85

$65

$110

$135

Simplify the following expression:
4x + 24 / 8 

\frac{1}{2}x+3

\frac{1}{2}x+24 

\frac{4}{8}x+24 

\frac{1}{2}x+12 

A rectangle has length 2x + 5 and width 3x – 2. What is the expression that represents the perimeter of the rectangle?

5x + 3 

5x + 6 

10x + 3 

10x + 6 

Solve the following: 11 = 6 +\frac {k}{2}

17

10

-15

12

Solve the following: -9 = -3n - 6n

Infinite Solutions

1

11

No Solution

Solve the following for k: 96 = 8(k+5)

7

-9

0

9

Solve the following: 6(2 + 8r) - 4 = 8 - 7r

All real numbers

5

0

No Solution

Currently, airlines charge you for the ticket for the flight plus an extra fee for checked baggage. If you are returning home to Chicago and the ticket cost $250 plus $0.25 per pound to check the bag. If you paid $275 total, how heavy was the bag?

1

6.25

25

100

Solve the following inequality: -3(6n+1) < 141

n < -40 

n < 8 

n < -8 

n > -8 

Solve the following: 92 < 2(6 - 5p)

p < 8 

p < 0 

No Solution 

p < -8 

Solve the following : \frac {3}{x}=\frac{4}{6}

4.5

5

5.3

8.7

Find the value of x when \frac{4}{10} = \frac{x}{x + 6}

-10

-8.3

5

4

Find the value of x when \frac{8}{x - 10} = \frac{2}{x - 2}

2

6\frac{2}{3} 

-\frac{2}{3} 

3\frac{2}{10} 

If f(x) = {x^2} - 5, what is the value of f(-5)?

20

-1

44

76

If f(x) = x² - 5 and
g(x) = 2x + 3,
what is the value of g(f(2))?

7

-1

1

42

Identify if the table below represents a linear or non linear function:

Linear Function

Nonlinear function

Identify if the table below represents a linear or non-linear function:

Linear Function

Nonlinear function

Find the slope of the line.

6

\frac{1}{6}

-\frac{1}{6}

-6

Find the slope of the line that passes through the coordinate points (10,12) and (15,-7).

-\frac{19}{5}

\frac{19}{5}

-\frac{5}{19}

\frac{5}{19}

Which of the following graphs represents the line: y = \frac{3}{2}x - 3

Which of the following graphs represents the line: 5x+3y =-9

What is the slope of the following line?

\frac{3}{2}

-\frac{3}{2}

\frac{2}{3}

-\frac{2}{3}

Steve decided to start a business. He is selling new hover boards that don’t require gasoline. Each hover board that he makes costs a certain amount of money to build. These things are not cheap! Before Steve can make any of the hover boards he must purchase a machine to build them. The graph below is the function that represents Steve’s cost function.

How much did the machine cost that Steve had to purchase in order to start building his hoverboards?

$29,000

$24,000

$16,000

$7,900

Use the table to answer: What is the price per snack?

1.50

3

9

18

Solve the following system of equation:
y = x − 2
3x − 3y = 6

(3,-8)

(8,-8)

Infinite number of solutions

(4,-8)

Solve the following system of equation:
-10x − 4y = -8
-6x + 4y = 8 

(-2,0)

(0,-2)

(2,0)

(0,2)

On Tuesday the cafeteria sold pizza slices and burritos. The number of pizza slices sold was 20 less than twice the number of burritos sold. Pizza sold for $2.50 a slice and burritos for $3.00 each. The cafeteria collected a total of $358 for selling these two items.

Which system of equations represents the situation described above?

p = 2b − 20
2.50p + 3.00b = 358 

b = 2p − 20
2.50b + 3.00p = 358 

p = 2b + 20
2.50p + 3.00b = 358 

b = 2p + 20
2.50b + 3.00p = 358 

Simplify: (6x^{4} − 3x^{3} − 2x^{2}) − (5x^{3} − 8x − 3x^{4}) 

14x^{4} − 8x^{3} − 2x^{2} + 9x 

9x^{4} − 8x^{3} − 2x^{2} + 9x 

14x^{4} − 8x^{3} − 2x^{2} + 8x 

9x^{4 }− 8x^{3} − 2x^{2} + 8x 

Simplify: (7y^{6})^2(2y)^4

784y^{44}

112y^{14}

784y^{14}

14y^{14}

Simplify: \left(\frac{2x^8y^8}{x^6y^7}\right)^{3}

8x^{6}y^3

2x^{18}y^{17}

8x^{2}y

2x^{6}y^3

Simplify: \frac{x^2}{x^7}

x^5

\frac{1}{x^5}

x^{29}

-x^{51}

Factor the following: x^{2}+2x-48 

(x + 8)(x + 6)

(x - 5)(x - 1)

6x(x - 6)

(x + 8)(x - 6)

Factor the following:
4v^{2}-16v+7

(4v + 3)(v + 4)

(4v + 4)(v + 7)

(2v - 1)(2v - 7)

(2v + 1)(2v - 7)

A rectangular campground has length 4x+7 and width 3x-2. What is the area of the campground?

14x + 10 

7x + 5 

12x{^2}+7x-14 

12x{^2}+13x-14 

Solve the quadratic equation: r² - 18 = -3r

{−3, −7}

{3, −6}

{2, −6}

{8, −5}

Solve the quadratic equation: x² − 4x − 5 = 0

{1, −5}

{−1, 5}

{−1, −4}

{6, 1}

Solve the quadratic equation: x² = 5x + 14

{5, −7}

{−2, 7}

{−6, 8}

{−5, 4}

Luka throws a basketball from an initial height of 6 feet with a vertical velocity of 46 feet per second. The equation that represents the height of the ball in terms of time in seconds can be represented by the function: h(t) = -16x²+46x+6. After how many seconds does the ball hit the ground?

1

2

3

4

Algebra I Final Exam

Algebra I Final Exam

Simplify the following: 9b + 4b – 3b

Simplify: -9(x -8)-3x(6+10x)

What is the price of a jacket that originally cost $100 and was sold for a discount of 35%?

Simplify the following expression:4x + 24 / 8

A rectangle has length 2x + 5 and width 3x – 2. What is the expression that represents the perimeter of the rectangle?

Solve the following: 11 = 6 +\frac {k}{2}

Solve the following: -9 = -3n - 6n

Solve the following for k: 96 = 8(k+5)

Solve the following: 6(2 + 8r) - 4 = 8 - 7r

Currently, airlines charge you for the ticket for the flight plus an extra fee for checked baggage. If you are returning home to Chicago and the ticket cost $250 plus $0.25 per pound to check the bag. If you paid $275 total, how heavy was the bag?

Solve the following inequality: -3(6n+1) < 141

Solve the following: 92 < 2(6 - 5p)

Solve the following : \frac {3}{x}=\frac{4}{6}

Find the value of x when \frac{4}{10} = \frac{x}{x + 6}

Find the value of x when \frac{8}{x - 10} = \frac{2}{x - 2}

If f(x) = {x^2} - 5, what is the value of f(-5)?

If f(x) = x² - 5 andg(x) = 2x + 3,what is the value of g(f(2))?

Identify if the table below represents a linear or non linear function:

Identify if the table below represents a linear or non-linear function:

Find the slope of the line.

Find the slope of the line that passes through the coordinate points (10,12) and (15,-7).

Which of the following graphs represents the line: y = \frac{3}{2}x - 3

Which of the following graphs represents the line: 5x+3y =-9

What is the slope of the following line?

Use the table to answer: What is the price per snack?

Solve the following system of equation:y = x − 2 3x − 3y = 6

Solve the following system of equation:-10x − 4y = -8 -6x + 4y = 8

Simplify: (6x^{4} − 3x^{3} − 2x^{2}) − (5x^{3} − 8x − 3x^{4})

Simplify: (7y^{6})^2(2y)^4

Simplify: \left(\frac{2x^8y^8}{x^6y^7}\right)^{3}

Simplify: \frac{x^2}{x^7}

Factor the following: x^{2}+2x-48

Factor the following:4v^{2}-16v+7

A rectangular campground has length 4x+7 and width 3x-2. What is the area of the campground?

Solve the quadratic equation: r² - 18 = -3r

Solve the quadratic equation: x² − 4x − 5 = 0

Solve the quadratic equation: x² = 5x + 14

Luka throws a basketball from an initial height of 6 feet with a vertical velocity of 46 feet per second. The equation that represents the height of the ball in terms of time in seconds can be represented by the function: h(t) = -16x²+46x+6. After how many seconds does the ball hit the ground?

Simplify the following expression:
4x + 24 / 8

If f(x) = x² - 5 and
g(x) = 2x + 3,
what is the value of g(f(2))?

Solve the following system of equation:
y = x − 2 3x − 3y = 6

Solve the following system of equation:
-10x − 4y = -8 -6x + 4y = 8

Factor the following:
4v^{2}-16v+7