Free Printable Algebra 1 Fall Final Exam (Review)

1.

Evaluate the expression below when x = 3 and y = - 5.

a)

- 54

b)

- 51

c)

69

d)

1

2.

Consider the expression below. Which of the following numbers are coefficients? Select all that apply.

a)

9

b)

5

c)

3

d)

8

e)

- 8

3.

Simplify the expression below.

a)

- 17x + 4y - 9

b)

xy - 9

c)

- 3x - 5y

d)

- 3x + 4y - 9

4.

Simplify the expression below.

a)

10x + 15

b)

10x + 30

c)

7x + 15

d)

25x

5.

Solve for x.

a)

x = 1/9

b)

x = - 1/9

c)

x = 3

d)

x = - 3

6.

Solve for x.

a)

x = 2

b)

x = - 2

c)

x = 8

d)

x = - 8

7.

Solve for x. Distribute first.

a)

x = 6

b)

x = 1

c)

x = 0

d)

x = - 2/3

8.

Solve the equation for x. Cross multiply! Use parentheses!!

a)

x = - 3

b)

x = 4

c)

x = 1

d)

x = - 1

9.

Solve the equation for y.

a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

10.

Select all relations that represent a function? Select (3) THREE answers total.

a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

e)

Option 5

11.

Identify the domain.

a)

{x| 1 ≤ x ≤ 9}

b)

{x| - 3 ≤ x ≤ 13}

c)

{1,3,5,7,9}

d)

(- 3, 1, 5, 9, 13}

12.

Which of the following represent LINEAR functions? Select (3) THREE answers total:

a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

e)

Option 5

13.

Consider the function below. Find f(-5):

a)

- 4

b)

4

c)

- 8

d)

5

14.

Find the slope of the line graphed below.

a)

m = - 4

b)

m = 4

c)

m = - 1/4

d)

m = 1/4

15.

Find the slope of the line that passes through points (3, 9) and (2, 5). Use the formula below:

a)

m = 1/4

b)

m = - 1/4

c)

m = 4

d)

m = - 4

16.

Write an equation for the line graphed below.

a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

17.

Choose the graph that matches the equation below.

a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

18.

"Rogelio is saving for a new bike. He already has $75 in his savings account and plans to save $20 each week until he can afford the bike." Write a linear function that models the situation.

a)

y = 20x + 75

b)

y = 75x + 20

c)

75 = 20x

d)

20 = 75x

19.

Solve the linear system.

Remember: you can use a matrix! But I would choose elimination on this one.

a)

(1, 5)

b)

(5, 1)

c)

(- 1, 5)

d)

(5, - 1)

20.

Solve the linear system below. Use matrix operations on your calculator.

a)

(- 9, 1)

b)

(1, - 9)

c)

(- 9, 4)

d)

(4, - 9)

21.

Solve the linear system.

a)

(- 3, 5)

b)

(5, - 3)

c)

(3, - 5)

d)

(- 5, 3)

22.

Solve the linear system.

a)

(4, - 1)

b)

(- 4, 1)

c)

(1, - 4)

d)

(- 1, 4)

23.

At the movie theatre, Delaney bought 2 bags of popcorn and 3 drinks and paid $24.25. Zury paid $14 for 1 bag of popcorn and 2 drinks. If I wanted to find out how much a drink costs, which of the following linear systems could be used to solve this problem ? (***Please note: x = Popcorn and y = Drinks)

a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

24.

At the movie theatre, Devin bought 2 bags of popcorn and 3 drinks and paid $24.25. Michael paid $14 for 1 bag of popcorn and 2 drinks. Find the cost of one (1) drink. (***Please note: x = Popcorn and y = Drinks)

a)

$2.75

b)

$3.50

c)

$3.75

d)

$6.50

25.

Write the expression below in equation form:

a)

24x+4y=24

b)

x+4y=24

c)

4y+24=x

d)

x=24x+4

e)

I have no idea...I need a break! :(

26.

SOLVE the equation.

a)

x=8

b)

x=10

c)

x=12

d)

x=14

e)

I have no idea...I need a sandwich!

27.

Identify the equation of the linear inequality shown in the graph below:

a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

28.

Identify the equation of the linear inequality shown in the graph below:

a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

29.

Solve the linear system below.

a)

(8, 3)

b)

(3, 8)

c)

(- 2, 3)

d)

(3, - 2)

30.

Solve the equation: 8x-15+4x=-7+12x-8

a)

All real numbers

$\infty$

b)

No solution

c)

x=-15

d)

x=0

31.

Write the equation of the graphed line.

a)

y=3x+5

b)

y=-3x+5

c)

y=3x-5

d)

y=-3x-5

32.

Find the slope between the points (5,3) and (2,7)

(a)

33.

Problem 2: What is the slope and the y-intercept?

y = x + 2

a)

slope = 0

y-int = 2

b)

slope = 1

y-int = 2

c)

slope = x

y-int = 2

d)

slope = 2

y-int = x

34.

When reading the keyword Equivalent or Simplify which calculator strategy do you use?

a)

b)

c)

d)

35.

How do we input a fraction in the calculator?

a)

b)

c)

d)

36.

How do you reset the calculator?

a)

b)

c)

d)

37.

The graph of a function is shown on the grid. Which ordered pair best represents the location of the y-intercept?

a)

$(-\frac{1}{2},0)$

b)

$(-4,0)$

c)

$(0,-\frac{1}{2})$

d)

$(0,-4)$

38.

3 + 2³ - 8

a)

8

b)

1

c)

3

d)

-3

39.

6x - 2 - 7x + 4 - x

a)

-2x + 2

b)

-2x - 2

c)

2x - 6

d)

x + 2

40.

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

a)

3x + 6

b)

3x + 4

c)

-3x + 16

d)

3x + 15

41.

4a + 8 = -20

a)

-6

b)

-7

c)

3

d)

-3

42.

-5x - 10 < -30

a)

x < 4

b)

x > 4

c)

x < 8

d)

x < -4

43.

a)

0 < x < 3

b)

0 < x < 3

c)

x > 0 or x > 3

d)

x < 0 or x > 3

44.

What is the slope of a line containing points (2, -1) and (3, 5)

a)

1/6

b)

6

c)

-1/6

d)

-6

45.

Give an equation of a line that is parallel to the line y = -3x

a)

y = 2/3x - 2

b)

y = 3x + 2

c)

y = -3x - 1

d)

y = -2/3x + 3

46.

What correlation is there between time spent driving and gas left in your tank?

a)

No Correlation

b)

Negative Correlation

c)

Positive Correlation

47.

(4x⁹)(5x^-5)

a)

20x^-45

b)

9x⁴

c)

9x^-4

d)

20x⁴

48.

3b³(4b² + 5b - 3c)

a)

12b⁵ + 15b³ - 9b³c

b)

12b⁶ + 15b⁴ - 9b³c

c)

12b⁵ + 15b⁴ - 9b³c

d)

12b⁵ + 15b⁴ + 9b³c

49.

(3x² - 5x + 7) - (2x² + 9x - 1)

a)

x² - 4x + 6

b)

5x² - 4x + 8

c)

x² - 14x + 8

d)

x² + 4x + 6

50.

What is the slope of a vertical line?

a)

Zero

b)

Undefined

c)

1

d)

-1

51.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

52.

Simplify y⁰

a)

y

b)

0

c)

1

d)

1y

53.

What is the value of 2⁵?

a)

32

b)

16

c)

10

d)

8

54.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

55.

What is the slope?

a)

1/4

b)

4

c)

-3

d)

-2

56.

What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

57.

What is the range of the graph?

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

58.

Identify all monomials.

a)

a⁷- 3a + 1

b)

15a⁸

c)

5 - a⁸

d)

7a + 5a¹²

e)

$\frac{3}{4}a^2$

59.

Simplify: $\left(-2\right)^3\ \cdot\ \left(-2\right)^6$

a)

$\left(-2\right)^9$

b)

$\left(-2\right)^{18}$

c)

$\left(-4\right)^{18}$

d)

$\left(4\right)^9$

60.

$\left(-7y^3\right)\left(5y^2\right)$

a)

-35y⁶

b)

-35y⁵

c)

-2y⁶

d)

-2y⁵

61.

$\left(-x^5\right)\left(y^3\right)$

a)

-x^8y

b)

-xy⁸

c)

-x⁵y³

d)

-(xy)⁸

62.

$9xy^2\cdot9x^5y^2$

a)

81x⁶y⁴

b)

18x⁶y⁶

c)

9x⁶y⁴

d)

none of the above

63.

$7e^3\cdot10e^3f^5$

a)

70e³f⁶

b)

17e³f⁸

c)

70e⁶f⁵

d)

none of the above

64.

$\left(-4a\right)\left(3abc\right)$

a)

-12abc

b)

-12bc

c)

-4a²bc

d)

-12a²bc

65.

What is the greatest common factor of 20a²b² and 50b³?

a)

100a²b²

b)

10b³

c)

10ab²

d)

10b²

66.

What is the DOMAIN?

a)

{10,20,30,40}

b)

{15,25,25,45}

c)

{10,15,20,25,30,35,40,45}

d)

{10,25,30,45}

67.

What is the RANGE?

a)

{10,20,30,40}

b)

{15,25,35,45}

c)

{10,15,20,25,30,35,40,45}

d)

{10,25,30,45}

68.

What is the RANGE?

a)

{2,3,4,5}

b)

{2,3,4,5,6,7,8,9,10}

c)

{4,9,16,25}

d)

none of these

69.

What is the DOMAIN?

a)

{2,-2,3,-2}

b)

{-2,2,3}

c)

{-4,4,4,9}

d)

{-4,4,9}

70.

Which of the following statements is true?

a)

The graph of the equation does not represent a function

b)

The graph of the equation represents a function

c)

The domain of the graph is all non-negative real numbers

d)

The range of the graph is all non-negative real numbers

71.

What is the Range?

a)

y ≥ 6

b)

y ≤ 6

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

72.

What is the Domain?

a)

-3 ≤ x < 5

b)

-3 ≤ y < 5

c)

-8 ≤ x < 5

d)

-8 ≤ y < 5

73.

What is the domain of the function graphed on the grid?

a)

-4 ≤ x < 5

b)

-4 ≤ x ≤ 5

c)

-3 ≤ x < 3

d)

-3 < x ≤ 3

74.

What is the range of the function graphed?

a)

x = 2

b)

All real numbers

c)

y = 2

d)

-6 < x < 6

75.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

76.

Who Stole Christmas?

a)

Santa Claus

b)

Your Math Teacher

c)

The Grinch

d)

Jack Frost

e)

Samuel L. Jackson

Algebra 1 Fall Final Exam (Review)

Total questions: 76

Worksheet time: 2hrs 14mins

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