Free Printable ALGEBRA FINAL EXAM REVIEW

1.

In the equation 4y +-9 =-36
y = -4

a)

True

b)

francine

c)

False

2.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

3.

Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

4.

Find the Error
What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2

a)

The student found an incorrect common denominator

b)

The student did not multiply all terms by the common denominator

c)

The student did not use opposite operations appropriately

d)

The student did not correctly eliminate the variable from one side of the equation

5.

How many solutions does the equation below have?
5 + 2(n + 1) = 2n

a)

Identity

b)

One Solution

c)

No Solution

d)

Two Solutions

6.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

7.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

8.

a)

x < -20

b)

x > -20

c)

x > 20

d)

x < 20

9.

The graph of a linear function is shown on the grid. Which equation is best represented by this graph?

a)

$y+8=\frac{2}{3}(x-0)$

b)

$y-3=-\frac{2}{3}(x+3)$

c)

$y-7=-\frac{2}{3}(x-3)$

d)

$y-1=\frac{2}{3}(x+6)$

10.

What are the rate of change and the y-intercept of a line that passes through the points (-3, 1) and (7, -5)?

a)

$m=-\frac{3}{5}\ ,\ \left(\ 0,\ -\frac{4}{5}\right)$

b)

$m=-\frac{5}{3}\ ,\ \left(-4,0\right)$

c)

$m=-\frac{4}{5}\ ,\ \left(-\frac{3}{5}\ ,\ 0\right)$

d)

$m=\ -\frac{3}{5}\ ,\ \left(0,\ -4\right)$

11.

Identify the x-intercept:
$y-3=13(9x-27)$

a)

$\left(\frac{116}{39},0\right)$

b)

$\left(0\ ,\ 2.97\right)$

c)

$\left(0,\ \frac{348}{117}\right)$

d)

$\left(\frac{117}{348},\ 0\right)$

12.

Identify the y-intercept:
$y-3=13(9x-27)$

a)

$\left(348,0\right)$

b)

$\left(0\ ,\ -348\right)$

c)

$\left(0,\ 348\right)$

d)

$\left(-1,-348\right)$

13.

What is the slope of the line $y+6=\frac{4}{5}(x-10)$ ?

a)

4/5

b)

b=(-6,10)

c)

m=-4/5

d)

m=4

14.

Given the point and slope, write the equation of the line in Standard Form

(7, -2), m = -3

a)

$y+2=\ -3x+21$

b)

$y=-3x+19$

c)

$3x+y=19$

d)

$3x+y=23$

15.

Given the point and slope, write the equation of the line in Slope-Intercept Form

(7, -2), m = -3

a)

$y=-3x-2$

b)

$y=-3x+19$

c)

$3x+y=19$

d)

$y-3x=23$

16.

Rewrite the equation in slope-intercept form. Identify the y intercept as well.

y+1=\frac{2}{3}(x-6)

b= -6

a)

$y=\frac{2}{3}x-5$
b= -5

b)

$y=\frac{2}{3}x-3$
b=-3

c)

$y=\frac{2}{3}x\ -3$
b=-5

17.

Rewrite the equation in slope-intercept form and identify the slope and y-intercept.

$3x-6y=18$

a)

$\left(0,-3\right)\$ , $y=\frac{1}{2}x-3$ m=1/2

b)

$\left(-3,0\right)\ ,\ y\ =\ -\frac{1}{2}x\ -6$ m=-1/2

c)

$\left(0,-3\right)\ ,\ y=\frac{1}{2}x\ +3$ m=1/2

d)

$\left(-3,0\right)\ ,\ y=\frac{1}{2}x\ -3$ m = 1/2

18.

a)

y < -3/4x - 2

b)

y > -3/4x - 2

c)

y ≤ -3/4x - 2

d)

y ≥ -3/4x - 2

19.

Shade above or below?
y ≥

a)

Above

b)

Below

20.

Shade above or below?
y <

a)

Above

b)

Below

21.

Solid or dashed line?
Y ≥

a)

Solid

b)

Dashed

22.

Solid or dashed line?
Y <

a)

Solid

b)

Dashed

23.

Choose the correct inequality for this graph.

a)

b)

c)

d)

24.

Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

a)

57x + 72y ≥ 2700

b)

57x + 72y > 2700

c)

57x + 72y < 2700

d)

57x + 72y ≤ 2700

25.

Which point is a solution to the inequality?
4x - 3y ≥ 18

a)

(0, -6)

b)

(0, 0)

c)

(2, 2)

d)

(-4, 6)

26.

Select the graph for 5x+ y ≤ -1 .

a)

A

b)

B

c)

C

d)

D

27.

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

a)

A

b)

B

c)

C

d)

D

28.

Which of the following equations match the given graph?

a)

y < 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y ≤ 2/5x + 1

d)

y ≥ -2/5x - 1

29.

a)

y < -2/5x - 4

b)

y > -2/5x - 4

c)

y ≤ -2/5x - 4

d)

y ≥ -2/5x - 4

30.

a)

x < - 5

b)

x > - 5

c)

x ≤ - 5

d)

x ≥ - 5

31.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

32.

Is this table a function or not a function?

a)

Function

b)

Not a Function

33.

Is this table a function or not a function?

a)

Function

b)

Not a Function

34.

Is this a function?

a)

Yes, it is a function.

b)

No, it is not a function.

35.

Is this a function?

a)

Yes, it is a function.

b)

No, it is not a function.

36.

Which of the following best describes the relation shown in the graph?

a)

The domain is all real numbers greater than or equal to -2 and less than 2

b)

The domain is all real numbers

c)

The domain is all real numbers greater than -2 and less than or equal to 2

d)

The domain is all real numbers greater than or equal to 1 and less than 5

37.

Which of the following best describes the relation shown in the graph?

a)

The domain is all real numbers greater than or equal to 1 and less than 5

b)

The domain is all real numbers

c)

The domain is all real numbers greater than -2 and less than or equal to 2

d)

The domain is all real numbers greater than or equal to -2 and less than 2

38.

Which of the following best describes the relation shown in the graph?

a)

The domain is all real numbers greater than or equal to 1 and less than 5

b)

The domain is all real numbers

c)

The domain is all real numbers greater than -2 and less than or equal to 2

d)

The domain is all real numbers greater than or equal to -2 and less than 2

39.

Rewrite the equation in Standard Form.

y-4\ =\ -2\left(x-6\right)

a)

2x+y-4=12

b)

y=-2x+16

c)

2x+y=16

d)

2x+y=-8

40.

Rewrite the equation in standard form.
$y=\frac{1}{2}x-7$

a)

-1/2x + 7 = -7

b)

1/2 x -y = 7

c)

2x -2y = 14

d)

x-2y=14

41.

Identify the x intercept:

hint: make, y= 0

y-4\ =\ -2\left(x-6\right)

a)

x = -8

b)

x=8

c)

x=8/2

d)

x=16

42.

a)

Infinite number of solutions

b)

(0, 7)

c)

(-5, -7)

d)

(5, 7)

43.

a)

No Solution

b)

(2, 2)

c)

(-1, 2)

d)

(-1, -2)

44.

a)

No Solution

b)

(2, 2)

c)

(-1, 2)

d)

(-1, -2)

45.

a)

(4, -3)

b)

(-1, -3)

c)

(-4, -3)

d)

(-4, 3)

46.

-(5x + 1)

a)

-5x + 1

b)

-5x - 1

c)

5x + 1

d)

5x - 1

47.

-(x + 4)

a)

-x - 4

b)

-x + 4

c)

-x + 5

d)

-x - 5

48.

½(8x + 2)

a)

4x + 2

b)

4x + 1

c)

16x + 4

d)

16x - 4

49.

⅔(¼x - 6)

a)

⅙x - 4

b)

¾x - 2

50.

-7(w - 4) + 3w - 27

a)

4w + 15

b)

-4w + 1

51.

-5(k + 6) + 7(k - 4)

a)

2k - 58

b)

2k - 24

52.

8(x + 5) - 4(x + 4)

a)

4x + 24

b)

4x + 16

53.

-4(8 - c) - (3c + 7)

a)

c + 24

b)

c - 39

54.

6(p + 6) - (p - 6)

a)

5p + 42

b)

9p + 36

55.

3(2x+5)=39

a)

x = 4

b)

x = 5

c)

x = 3

d)

x = -2

56.

2(6k-1)= -38

a)

k= 1

b)

k= 9

c)

k= -4

d)

k= -3

57.

8(7-y) = -24

a)

y= 2

b)

y= 10

c)

y= 15

d)

y= -5

58.

-4(8+5n)=8

a)

n= -4

b)

n= 3

c)

n= -2

d)

n= 1

59.

6(3x-5) -7x=25

a)

x= 5

b)

x= 6

c)

x= -5

d)

x= -6

60.

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

61.

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

62.

x < 8 is a

a)

dotted horizontal line

b)

solid horizontal line

c)

dotted vertical line

d)

solid vertical line

63.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

64.

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

65.

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

66.

Write an equation
m = 5 through (-1, -3)

a)

y = 5x + 2

b)

y = -5x - 5

c)

y = -5x + 2

d)

y = 2x - 5

67.

For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

68.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

69.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

70.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

71.

$y+8=3\left(x-5\right)$

If the slope is 3 in the following equation, what is the point?

a)

(5, -8)

b)

(5, 8)

c)

(-5, 8)

d)

(-5, -8)

72.

What was the little boy listening for?

a)

The sound of a train

b)

The sound of reindeer

c)

The ringing bells of santa's sleigh

73.

What was the girl's name that met the grinch{Grinch}

a)

Sarah Loo Who

b)

Nancy Loo Who

c)

Cindy Loo Who

d)

We have the meats

74.

Who has the best drip?

a)

Coach Ortiz

b)

Not Coach Ortiz

75.

Which of the following represents a corresponding range value for the function

f(x) = -4x+7 if the domain is

{ -4 , -2 , 0, 5, 7 }?

a)

-23

b)

-15

c)

7

d)

13

76.

Which of the following represents a corresponding range value for the function

f(x) = -4x+7 if the domain is

{ -4 , -2 , 0, 5, 7 }?

a)

-23

b)

-15

c)

7

d)

13

77.

Kanye is climbing a mountain at a constant rate. His height at various times are given in the table below. Which of the following represents the rate(SLOPE) at which he is climbing?

Time Height

2:14 pm 5212

2:34 pm 5652

2:49 pm 5982

a)

22 feet per minute

b)

4904 feet per minute

c)

-1/22 feet per minute

d)

41 feet per minute

78.

Which of the following represents a corresponding range value for the function

f(x) = -4x+7 if the domain is

{ -4 , -2 , 0, 5, 7 }?

a)

-23

b)

-15

c)

7

d)

13

79.

Kanye is climbing a mountain at a constant rate. His height at various times are given in the table below. Which of the following represents the rate(SLOPE) at which he is climbing?

Time Height

2:14 pm 5212

2:34 pm 5652

2:49 pm 5982

a)

41 feet per minute

b)

4904 feet per minute

c)

-1/22 feet per minute

d)

22 feet per minute

80.

What is Coach Ortiz favorite band currently?

Hint:Click on Picture, this band Has been a Blessing to me and my family and my children, and their children, and their children.

a)

Sunday Service Choir

b)

Elevation Worship

c)

Lil Mosey

d)

Drake

e)

Maverick City Music

81.

Who is this?

Hint: GREATEST OF ALL TIME

if you pick wrong, its not my fault

a)

Coach Ortiz

b)

Not Coach Ortiz

82.

Find the solution to the system of equations: solve by elimination

3x - 3y = 33

6x - 3y = 57

a)

(8,-3)

b)

(-3,8)

c)

(10,1)

d)

(10,-1)

83.

Solve the system of equations by using substitution:

a)

(10, 3)

b)

(6, 3)

c)

(15, 3)

d)

No solution

e)

Infinite Solution

84.

Solve the system of equations by using substitution:

a)

(3, 33)

b)

(7, 77)

c)

(2, 22)

d)

No solution

e)

Infinite solutions

85.

Solve the system of equations by using substitution:

a)

(-6, 1)

b)

(0, 0)

c)

(1, -6)

d)

No solution

e)

Infinite solutions

ALGEBRA FINAL EXAM REVIEW

Total questions: 85

Worksheet time: 5hrs 56mins

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