Free Printable Algebra EOC Review

1.

Find the common difference: 29, 21, 13, 5, ...

a)

d = -10

b)

d = -9

c)

d = -8

d)

d = -7

2.

Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...

a)

45, 54, 63

b)

49, 59, 69

c)

39, 49, 59

d)

59, 69, 79

3.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

4.

Find the common ratio for the geometric sequence:

10,\ 20,\ 40,\ 80

a)

10

b)

1/2

c)

2

d)

4

5.

Given the recursive formula, write the explicit formula for the geometric sequence.

a_1=6

a_n=5\cdot a_{n-1}

a)

$a_n=5\cdot6^{n-1}$

b)

$a_n=6\cdot5^{n-1}$

c)

$a_n=6+5\left(n-1\right)$

d)

$a_n=5+6\left(n-1\right)$

6.

f(x)=4x+5
f(4)=

a)

21

b)

-11

c)

-31

d)

25

7.

Find the slope

a)

4/5

b)

5/4

c)

-5/4

d)

-4/5

8.

Find the slope of:

(1,8) and (3,12)

a)

2

b)

1/2

c)

9/7

d)

-2

9.

$\left(8n^3-4n\right)+\left(3n^3-3n\right)$

a)

$11n^3-7n$

b)

$9n^3-13n$

c)

$9n^3-10n$

d)

$9n^3-7n$

10.

$\left(2x+8\right)-\left(5x-1\right)$

a)

$-3x+7$

b)

$7x+9$

c)

$-3x+9$

d)

$7x^2+9$

11.

Find the product:
(3x + 2)(2x + 4)

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

12.

Which is the graph of the system of inequalities?

a)

b)

c)

d)

13.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

14.

$3\sqrt{20}+4\sqrt{5}$

a)

$10\sqrt{5}$

b)

$16\sqrt{5}$

c)

$7\sqrt{25}$

15.

Factor completely: x²-13x+40

a)

(x-5)(x-8)

b)

(x+5)(x+8)

c)

(x-4)(x-10)

d)

(x-2)(x-20)

16.

Factor Completely: 6x² + 5x - 6

a)

6(x + 1)(x - 6)

b)

(6x + 6)(x - 1)

c)

(2x - 3)(3x + 2)

d)

(3x - 2)(2x + 3)

17.

Find the average rate of change over the given interval.

a)

4

b)

7

c)

7/3

d)

3/7

18.

Find the equation of the exponential function represented by the table.

a)

$f\left(x\right)=2\left(4\right)^x$

b)

$f\left(x\right)=4\left(2\right)^x$

c)

$f\left(x\right)=2+4x$

d)

$f\left(x\right)=2\left(2\right)^x$

19.

This is an example of: $f\left(x\right)=\ 25\ \left(\ 0.20\right)^x$

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

20.

This is an example of: $f\left(x\right)=\ 0.25\ \left(\ 1.3\right)^x$

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

21.

Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).

a)

604

b)

777

c)

29

d)

198

22.

Change 6.5% to a decimal

a)

.65

b)

6.5

c)

.065

d)

.065%

23.

Find the balance in the account after the given period.

$5000 deposit earning 1.5% compounded quarterly after 3 years

a)

$5,229.70

b)

$7,604.38

c)

$7,777.27

d)

$5,538.86

24.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

25.

solve:
4x²+16x+15=0

a)

-5/2,-3/2

b)

(2x+5)(2x+3)

c)

-10,-6

d)

5/2, 3/2

26.

What is the vertex of the graph?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

27.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

28.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

29.

Maximum or Minimum

a)

Maximum

b)

Minimum

30.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

31.

Identify the y-intercept

a)

(0, -3)

b)

(0, 1)

c)

(0, 3)

d)

(2, 1)

32.

What is the domain of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

33.

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?

a)

The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.

b)

The ball was kicked from the ground and it was in the air for 4 seconds.

c)

The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds.

d)

The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds.

34.

What is the range of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

35.

What is the end behavior of the following graph?

a)

$x\longrightarrow-\infty\ \ \ f\left(x\right)\longrightarrow0$ $x\longrightarrow\infty\ \ \ f\left(x\right)\longrightarrow-\infty$

b)

$x\longrightarrow-\infty\ \ \ f\left(x\right)\longrightarrow\infty$ $x\longrightarrow\infty\ \ \ f\left(x\right)\longrightarrow0$

c)

$x\longrightarrow-\infty\ \ \ f\left(x\right)\longrightarrow-\infty$ $x\longrightarrow\infty\ \ \ f\left(x\right)\longrightarrow0$

d)

$x\longrightarrow-\infty\ \ \ f\left(x\right)\longrightarrow0$ $x\longrightarrow\infty\ \ \ f\left(x\right)\longrightarrow\infty$

36.

What was the day with the least amount of cars sold?

a)

Monday

b)

Tuesday

c)

Wednesday

d)

Thursday

37.

How many students had more than 6 candy bars?

a)

5

b)

2

c)

3

d)

1

38.

What is the maximum value?

a)

58

b)

66

c)

64

d)

60

39.

What is the interquartile range (IQR)?

a)

4

b)

64

c)

60

d)

8

40.

Which box and whisker plot has the highest median?

a)

Top plot

b)

Bottom plot

41.

What is the shape of the distribution?

a)

Skewed Left

b)

Skewed Right

c)

Symmetric

d)

Uniform

42.

What is the shape of the data?

a)

symmetrical

b)

skewed left

c)

skewed right

d)

bell curve

43.

Which graph represents data that has a correlation coefficient close to -1?

a)

b)

c)

d)

44.

Describe the relationship between the variables.

a)

Weak positive correlation

b)

Weak negative correlation

c)

Strong positive correlation

d)

Strong negative correlation

45.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

46.

Find the mean : 73, 77, 85, 84, 37, 115

a)

78.5

b)

77

c)

76.5

d)

115

47.

Find the median: 16, 7, 14, 30, 5, 8, 12, 60

a)

11

b)

12

c)

13

d)

14

48.

Find the line of best fit

a)

y = 0.42x - 20

b)

y = -20x + 0.42

c)

y = 67x + 8.5

d)

y = 8.5x + 67

49.

What is the area?

a)

12 cm²

b)

14

c)

14 cm²

d)

24 cm²

50.

Use the Distance Formula to find the distance between: $\left(3,\ -2\right)\ and\ \left(-5,\ -8\right)$

(a)

51.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

52.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

53.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

54.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

55.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

56.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

57.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

58.

The following represents slopes of two lines. Which answer choice describes the two lines?
m = 7 and m = -7

a)

Parallel

b)

Perpendicular

c)

Neither

59.

Is the table linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

60.

Which function is quadratic?

a)

f(x)

b)

h(x)

c)

g(x)

Algebra EOC Review

Total questions: 60

Worksheet time: 4hrs 11mins

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