Free Printable EOC Review

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EOC Review

Total questions: 60

Worksheet time: 3hrs 20mins

Name

Class

Date

What is 4x if x=5?

(a)

What is 34x - u + 16y when x = 2 u = 14 and y = 3?

(a)

Find the common ratio for the geometric sequence.

(a)

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

1024, 2048, 4096

32, 8, 2

64, 32, 16

92, 66, 38

Select the explicit rule that represents the sequence.

$a_n=14\ -3n$

$a_n=14n\ -3$

$a_n=-3n\ +17$

$a_n=14n\ +11$

Find the slope between the two given points: (-2,1) and (5,7)

(a)

Which equation is being represented by this line?

y = -1x + 2

y = 1/2x + 2

y = 3x -4

y = -3x +2

Writing Equations:
Given the following table, write the linear equation.

y = 9x + 3

y = 3x + 12

y = 3x + 9

y = 1x + 12

What is the definition of a function?

Has inputs and outputs

Every input has only ONE output

Inputs have different outputs every time

x-values and y-values

10.

Find the slope of the line.

(a)

11.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

(a)

12.

Write the equation of the line.

y=(3/5)x+1

y=(3/5)x-1

y=(5/3)x+1

y=(3/5)x+1

13.

The equation below represents an elevator's height after an amount of seconds. Using this equation, what should the height of the elevator be after 14 seconds?
y = -3.8x + 290

236.8

-80

72.6

14.

What is the y-intercept of the function?

-2

15.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

16.

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

(a)

17.

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

(a)

18.

what is the formula for linear regression?

y=mx+b

a^2+b^2=c^2

y1~mx1+b

(1/2)(b)(h)

19.

What letter do we use to represent correlation coefficient?

20.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

y = 1.5x + 12

y = 12x + 1.5

y = 0.67x - 8

y = -8x + 0.67

21.

Which of the following is the exponential regression equation for this data?

Y = 8.16(2.7)^X

Y = 81.6(2.7)^X

Y = 8.16(.27)^X

Y = 8.16(27)^X

22.

Data is analyzed comparing hours studied and grades. It is determined that the correlation coefficient is 0.92. What does this mean?

There is a strong positive correlation between studying and grades.

There is a strong negative correlation between studying and grades.

There is a weak positive correlation between studying and grades.

There is a weak negative correlation between studying and grades.

23.

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)

24.

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)

25.

What is the slope?

(a)

26.

In the equation y=mx+b, what does the m represent?

slope

y-intercept

linear

point-slope

27.

Are the lines parallel, perpendicular, or neither?
$y=4x+7$ $y=-\frac{1}{4}x+2$

Parallel

Perpendicular

Neither

28.

Find f(4)

(a)

29.

What is the Perimeter?

3x - 3 inches

6x - 6 inches

3x - 6 inches

6x - 3 inches

30.

The graph of a quadratic function is shown on the grid.

Which function is best represented by this graph?

$h\left(x\right)=x^2-3x-9$

$h\left(x\right)=x^2+3x-9$

$h\left(x\right)=x^2-6x$

$h\left(x\right)=x^2+6x$

31.

Add the following polynomials:
(x³-2x²+3)+(2x³+3x²-1)

3x³-2x²+3x+2

3x³+x²+2

3x³-5x²-2

3x³-x²+1

32.

Solve for x:

x = yb - v

x = by - v

x = by + v

33.

Find the zeros of this quadratic.

b=4/5, b=3

b=4, b=-3

b=1/5, b=3

b=4/5, b=-3

34.

35.

Solve the system of inequalities by graphing.

36.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

37.

(5x+2)(x²-3x+6)

5x³- 17x²+24x +12

5x³+ 17x² - 24x +12

5x³ - 13x² + 24x +12

5x³ +13x² - 24x - 12

38.

(3x − 6)(7x + 7)

21x² − 63x + 42

21x² − 21x − 42

21x² − 42

21x² + 63x + 42

39.

A contractor needs 54 square feet of brick to construct a rectangular walkway. The length of the walkway is 15 feet more than the width. Write an equation that could be used to determine the dimensions of the walkway.

$w+\left(w+15\right)=54$

$w\left(w+15\right)=54$

$w\left(w-15\right)=54$

$w^2+\left(w+15\right)^2=54$

40.

The height of a ball Doreen tossed into the air can be modeled by the function h(x) = −4.9x² + 6x + 5, where x is the time elapsed in seconds, and h(x) is the height in meters. The number 5 in the function represents

the initial height of the ball

the time at which the ball reaches the ground

the time at which the ball was at its highest point

the maximum height the ball attained when thrown in the air

41.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

y = -1/3x - 5

y = 3x-29

y = 1/3x -5

y = -1/3x +1

42.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

y = 4x + 12

y = -4x -4

y = -1/4x + 5/2

43.

What is the Q3 value of the data set?

2, 4, 4, 7, 10, 11, 12, 13, 16, 17, 18

(a)

44.

What is the IQR of the data set?

2, 4, 4, 7, 10, 11, 12, 13, 16, 17, 18

(a)

45.

Find the standard deviation of the following data set. Make sure to round to the nearest hundredth.

37 42 48 51 52 53 54 54 55

(a)

46.

What is the standard deviation of the following data set. Round your answer to the nearest hundredth.

62 64 69 70 70 71 72 73 74 75 77

(a)

47.

Which restaurant has a higher median wait time?

Lucy's Steakhouse

Gary's Grill

They are the same

48.

Four data sets are shown below.

Set 1: {10, 19, 38, 50, 51}

Set 2: {5, 21, 26, 39, 51}

Set 3: {9, 38, 50, 50, 51}

Set 4: {5, 28, 28, 28, 51}

Which data set has the largest standard deviation?

Set 1

Set 2

Set 3

Set 4

49.

The data below shows the average cost of a dozen eggs at different

times.

$1.26, $1.15, $1.28, $1.25, $1.83, $1.98, $1.63, $1.75, $1.95, $1.89

What are the three quartiles of the data?

Q1 = $1.28, Med = $1.75, Q3 = $1.95

Q1 = $1.28, Med = $1.69, Q3 = $1.89

Q1 = $1.26, Med = $1.75, Q3 = $1.95

Q1 = $1.26, Med = $1.69, Q3 = $1.89

50.

Ash has $8,000 in a savings account. The interest rate is 3% a year. To the nearest cent, how much will he have in his account in 4 years?

(a)

51.

The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?

$12,800.00

$13,629.44

$17,600.00

$28,098.56

52.

5n² + 31n + 6

(5n + 2)(n + 3)

(5n + 3)(n + 2)

(5n + 6)(n + 1)

(5n + 1)(n + 6)

53.

Factor completely:
3x² + 5x - 12

(3x + 4)(x-3)

(3x - 4)(x + 3)

(3x + 3)(x -4)

(3x - 3)(x + 4)

54.

x²- 16

Prime

( x - 4) ( x + 4)

( x - 8) ( x + 8)

( x - 4) ( x - 4)

55.

$6x^2-11x+4$

(3x+4)(2x+1)

(3x-4)(2x-1)

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

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

56.

Which function has the largest value for f(–3)?

f(x) = 2x - 5

f(x) = 2 - 4x

f(x) = 6 - 3^x

f(x) = 2^x+ 10

57.

Solve the system. What is the x value

(a)

58.

Which point is a solution?

(0, 6)

(-3, 4)

(1, 0)

(-4, 3)

59.

What's the difference between systems of equations and systems of inequalities?

Systems of equations have 1 solution, no solution, or infinite solutions while systems of inequalities can have a range of solutions.

Systems of equations use slope-intercept form only while systems of inequalities use standard form only.

Systems of equations have a shaded region while systems of inequalities do not.

There is no difference.

60.

Solve:
y = -1x - 5
4x - 8y = 4

(-3, -2)

(5, -7)

(3, 9)

(-5, 4)

Reset

EOC Review

Total questions: 60

Worksheet time: 3hrs 20mins

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