Free Printable Fast EOC Algebra Review

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Fast EOC Algebra Review

Total questions: 100

Worksheet time: 5hrs 48mins

Name

Class

Date

Write in slope intercept form
5x - 3y = -9

y = (5/3)x - 3

y = (5/3)x + 9

y = (5/3)x + 3

y = (3/5)x + 3

What is the slope between the points
(-3, -4) & (7, 6)?

Undefined

-1

Simplify the exponential expression.

2x⁶y¹²

2x⁵y⁷

8x⁶y¹²

8x⁵y⁷

If f(x)=3x-9, find f(5).

f(5) = 6

f(5) = 16

f(5) = -4

f(5) = 24

Solve for n:
6 - (8 - 4n) = 2(2n - 1)

No solution

n = 0

All real solutions

n = -2

Find the equation of the line shown

y = 4x - 2

y = -2x + 4

y = 2x + 4

y = -4x - 2

Write the equation of the line that goes through the points (4, 7) and (0, -5)

y = 1/3x + 7

y = 3x + 7

y = 1/3x - 5

y = 3x - 5

Write the equation of the line with slope = 5 and that goes through point (3, -5)

y = 5x - 5

y = 5x - 20

y = 5x + 20

y = 5x + 15

Solve for x:
4 - 5x < 22 - 2x

x > -6

x < -6

x > 6

x < 6

10.

Simplify completely

3x⁵y⁷

(1/3)x⁻⁷y⁵

y⁵/3x⁷

1/3x²

11.

Rachel and Sharon are splitting up their Pokemon cards. Rachel has 4 fewer than 3 times as many as Sharon. Together they have 100 cards. Which equation could be used to solve for how many cards Sharon had originally?

n + (3n - 4) = 100

n - (3n - 4) = 100

n + (4 - 3n) = 100

4 - 3n = 100

12.

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

(8,10)

8, 3, 0, 4, 9

(0,8)

(9,0)

13.

Which of the following relations represents y as a function of x?
I. {(1, 4), (2, 5), (3, 6)}
II. {(1, 4), (2, 4), (3, 4)}
III. {(1, 4), (2, 4), (1, 3)}
IV. {(1, 4), (1, 2), (1, 3)}

I, II, and III only

II and IV only

III and IV only

I and II only

14.

The length of a rectangle is 4a⁴b⁵ and the width is 3a²b³, what is the area of the rectangle?

12a⁶b⁸

7a⁶b⁸

12a⁸b¹⁵

1a²b²

15.

Factor the following polynomial:
x²-x-6

(x+3)(x-2)

(x-3)(x+2)

(x+4)(x-2)

(x-4)(x+2)

16.

Find the slope and y-intercept:

6x + -2y = 18

slope = -6, y-intercept = -2

slope = -3, y-intercept = 9

slope = 3, y -intercept = -9

slope = 6, y-intercept = 3

17.

What is the RANGE of this graph?

-7<x<5

-7≤x<5

-3<x<1

-3≤x<1

18.

Is the relation a function? Why.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values pair with it.

No, because each x-value has only one y-value paired with it.

19.

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation
h(t) = -16t² +128t
When will the object reach its maximum height?

4 ft

0 seconds

0 ft

4 seconds

20.

Solve the word problem: How fast would you reach the water if you jump off of a cliff using the formula: h(t) = -16t² + 8t + 24?

1.5

1/4

21.

A college student needs 11 classes that are worth a total of 40 credits in order to complete her degree. The college offers both 4-credit classes and 3-credit classes. Which system of equations can be used to determine f, the number of 4-credit classes the student can take to complete her degree, and h, the number of 3-credit classes?

f + h = 40
4h + 3f = 11

f + h = 11
4h + 3f = 40

f + h = 40
4f + 3h = 11

f + h = 11
4f + 3h = 40

22.

One type of redwood tree has an average height of 65 feet when it is 20 years old. If the tree is more than 20 years old, the average height, h, can be modeled by the function h = 1.95(a − 20) + 65, where a is the age of the tree in years. Which statement about this situation is true?

Every additional 1.95 ft of length over 20 ft adds 45 years to the age of this type of redwood tree.

For this type of redwood tree, the average height increases by 1.95 ft per year throughout its lifetime.

Each additional year of age over 20 years adds 1.95 ft to the average height of this type of redwood tree.

For this type of redwood tree, the average height increases by 65 ft for every 20 years of growth.

23.

The length, in feet, of a small train at an amusement park can be modeled by the function f(c) = 9c + 14, where c is the number of passenger cars attached to the locomotive. The original passenger cars were replaced, and the length of the train is now modeled by the function h(c) = 12c + 14. Based on this information, which statement describes the change in this situation?

The locomotive is now 9 feet long, and the length of each passenger car remained the same.

The locomotive is now 12 feet long, and the length of each passenger car remained the same.

Each passenger car is now 9 feet long, and the length of the locomotive remained the same.

Each passenger car is now 12 feet long, and the length of the locomotive remained the same

24.

Which statement about the quadratic parent function is true?

Its graph is symmetrical about the x-axis.

Its graph is symmetrical about the y-axis

Its domain is the set of all non-negative numbers.

Its range is the set of all real numbers.

25.

Which inequality is equivalent to
−3x + 2y > 5y + 9?

y > x + 3

y > −x − 3

y < x − 3

y < −x − 3

26.

The approximate distance in miles between Los Angeles and a commercial jet flying from Boston to Los Angeles can be found using the function
m = −475t + 2,650,
where t is the number of hours the jet has been flying. Which number of hours and minutes is closest to the amount of time that the jet has been flying if the jet is 1,500 miles from Los Angeles?

2 hours and
25 minutes

8 hours and
44 minutes

3 hours and
16 minutes

9 hours and
13 minutes

27.

Two functions are given below.
f(x) = −4x + 1 1
g(x) = −4x + 2
How does the graph of f compare with the graph of g?

The graph of f is less steep than the graph of g.

The graph of f has the same y-intercept as the graph of g.

The graph of f is parallel to the graph of g.

The graph of f is steeper than the graph of g.

28.

Which of the following describes all the solutions to the inequality
5x + 7y ≥ 22
when y = −4?

x ≤ 10

x ≤ −10

x ≥ 10

x ≥ −10

29.

Which expression is equal to

3c (⅓ d - 9) - 7(c - 1) + d(c + 4) ?

2cd − 34c + 4d + 7

2cd − 7c − 4

2cd + 34c + 4d + 7

2cd + 8c + 4

30.

A candy company sells cases of chocolate bars. The company has fixed costs of $30,000, and each case of chocolate bars costs an additional $5 to make. The company sells each case for $10.
How many cases of chocolate bars will this company need to sell in order for costs and revenue to be equal?

3,500

6,000

35,000

60,000

31.

What is the vertex of the parabola: y=2(x-3)²+4

(3,4)

(-3,4)

(3, -4)

(-3,-4)

32.

.How many zeros does this parabola have?

33.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

y = -2

x = 3

x = -3

y = 2

34.

Which answer choice describes y = -3x² +7x - 2 accurately?

opens up with a maximum

opens up with a minimum

opens down with a maximum

opens down with a minimum

35.

Match the equation to its description.

Vertical Stretched by 2 and translation up 4

Vertical Compressed by 2 and translation up 4

Horizontal Stretched by 2 and translation left 4

Horizontal Compressed by 2 and translation right 4

36.

Solve for x:

x = yb - v

x = by - v

x = by + v

37.

Convert the equation y= (x+8)²+7 into standard form.

y= x²+16x+71

y= x²+8x+71

y= x²+16x+64

y= x²+15x+7

38.

(34x⁵y⁶z^-7)⁰

34x⁵y⁶ / z⁷

34x⁵y⁶ / x^-7

39.

Which equation best represents the relationship between x and y in the table shown?

y=-3x-10

y=-1/3x-10

y=-10x+10

y=-4x-10

40.

Based on the information in the graph, which conclusion appears to be true?

The car lost about one-half of its value every three years.

The car lost about one-quarter of its value every year.

The car lost less of its value between years 9 and 10 than between 1 and 2.

The car lost more of its value between years 9 and 10 than between years 1 and 2.

41.

Which inequality represents the domain of the graph shown?

42.

Which expression is equivalent to 6x²+ 13x + 5?

(2x + 5)(3x - 1)

(2x - 5)(3x + 1)

(2x + 1)(3x + 5)

(2x - 1)(3x - 5)

43.

Which graph represents the linear function -3x + 5y = -15?

44.

What system of equations is best represented by this graph?

45.

The area of a rectangle is 54x⁹y⁸ square yards. If the length of the rectangle is 6x³y⁴ yards, then what is the width?

9x³y²

48x⁶y⁴

9x⁶y⁴

60x⁹y⁸

46.

Which graph below matches the function: f(x) = (1/3)^x

47.

Write an equation: You invest $400 for 5 years and the interest rate is 4.29% each year.

y=400(0.0429)⁵

y=400(1.0429)⁵

y=400(4.29)⁵

y=400e^0.049*5

48.

Which sequence is represented by the equation a_n=2(7)^n-1 ?

7, 14, 28, 56...

2, 14, 98, 686...

2, 9, 16, 23...

7,9,11,13...

49.

Which recursive formula best describes the following sequence:
3, 8, 13, 18, 23...

a_n = (3)^n-1 ; a₁=5

a_n = (5)^n-1 ; a₁=3

a_n = a_n-1+3 ; a₁=5

a_n = a_n-1+5 ; a₁=3

50.

On the first day of camp I swam 2 laps. On the second day of camp I swam 4 laps. The third day I swam 8 laps. If this pattern continues, how many laps would I swim on the fifth day?

16 laps

32 laps

64 laps

128 laps

51.

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

9766

9006

9765

5433

52.

Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x).

g(x) rate of change is ALWAYS greater than f(x) rate of change.

g(x) is NEVER greater than f(x) rate of change.

g(x) will eventually exceed the rate of change of f(x).

There is not enough information to compare the rate of change of f(x) to g(x).

53.

When do we have growth?
f(x) = (a)(b^x)

a < 1

b > 1

0 < b < 1

a > 1

54.

Which of the following functions are considered exponential growth? Check all that apply.

a(x) = 20(3.5)^x+ 1.3

b(x) = 20(0.5)^x

c(x) = 27(0.95)^x+ 0.45

d(x) = 30(1.05)^x+ 10

e(x) = (5)^x- 13

55.

Which of the following functions are considered exponential decay? Check all that apply.

a(x) = 20(3.5)^x+ 1.3

b(x) = 20(0.5)^x

c(x) = 27(0.95)^x+ 0.45

d(x) = 30(1.05)^x+ 10

e(x) = (5)^x- 13

56.

What is the solution to the system?

(0, 3)

(1, -1)

(-3, 1)

(1, 3)

57.

Solve by elimination
5x+6y= -10
3x-2y= -6

(-2,0)

(0,-2)

(2,0)

(0,2)

58.

Which point is a solution to the system?

(0, 6)

(-3, 4)

(1, 0)

(-4, 3)

59.

The height (H in inches) of a candle is represented by the linear function: H(t)=-0.25t+6, where t represents the time passed in hours. What is the meaning of the slope?

The height of the candle will decrease by 0.25 inches per hour

The height of the candle will increase by 0.25 inches per hour.

The candle is 6 inches tall before it is lit.

The candle is 0.25 inches tall before it is lit.

60.

The arithmetic sequence -5, 1, 7, 13,...
write a function to describe the sequence

f(n) = 4n - 9

f(n) = -4n - 9

f(n) = 6n - 11

f(n) = -6n - 11

61.

y < x−2
y < 3

y > -x+2
y > 3

y < -x+2
y < 3

y < -x+2
y > 3

62.

Which of the following equations match the given graph?

y ≤ 2x - 4

y ≥ 2x - 4

y < 2x - 4

y > 2x - 4

63.

|v + 8| − 5 = 2

{-1,-15}

{-1,-5}

{-15,15}

No Solution

64.

-|−2r − 1| = 11

{-6,5}

{5,-6}

-6

No Solution

65.

Solve the system of equations:

5x + 2y = -6

-2x - 2y = -6

(-4, 7)

(0, 3)

(0, -3)

(4, -13)

66.

Solve: 5x + 34 = -2(-7x + 1)

-4

36/19

67.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

y=8(15,000)^x

y=15,000(1.08)^x

y=15,000(0.92)^x

y=15,000(0.08)^x

68.

What is the recursive rule for the geometric sequence: 2, 6, 18, 54,...

f(1)= 2, f(n)=3*f(n-1)

f(1)=3, f(n)=2*f(n-1)

f(1)=0, f(n)=3*f(n)

69.

Find the 4th term in the geometric sequence a_n=3^n-1

243

70.

A new savings account is opened with $400 and gains 3% every yr. What's the amount after 5 years?

$415

$463.71

$343.49

$460.12

71.

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

72.

Find the product.
(d+9)²

d²+81

d²+18d+81

d²-81

d²-18d-81

73.

How many pieces make up this function?

74.

What is this type of function called?

Discrete Function

Segment Function

Step Function

Jump Function

75.

Which graph does NOT pass the vertical line test?

Graph 1

Graph 2

Graph 3

Graph 4

76.

What are the zeroes for the quadratic function
f(x) = x² + 2x - 15?

x = 5 and x = -3

x = -5 and x = 3

x = 5 and x = 3

x = -5 and x = -3

77.

If the parent function (y = x) is changed to have a slope of (2/3) and a y-intercept of 4, then which is true?

The new line is steeper than the original and the y-intercept has been translated down.

The new line is less steep than the original and the y-intercept has been translated up.

The new line is steeper than the original and the y-intercept has been translated up.

The new line is less steep than the original and the y-intercept has been translated down.

78.

Each day Hiro drives x miles to work, 2 miles to and from lunch, and x miles back home. Hiro repeats this 5 days. Which expression models the total miles Hiro drives?

5(x+2+x)

2(x+5+x)

5x+2+5x

5x+2+x

79.

A local theater sells admission tickets for $9.00 on Thursday nights. At capacity, the theater holds 100 customers. The function M(n)=9n represents the amount of money the theater takes in on Thursday nights, where n is the number of customers. What is the domain of M(n) in this context?

all whole numbers

all non- negative rational numbers

all non-negative integers that are multiples of 9

all non-negative integers less than or equal to 100

80.

The cost to manufacture x pairs of sunglasses can be represented by a function c(x). If it costs $398 to manufacture 4 pairs of sunglasses, which of the following is true?

c(4)=99.50

c(398)=4

c(4)=398

c(99.50)=1

81.

A linear function passes through the points (10,5) and (-15, -5). A second function is represented by the equation 4x-3y=6. What is the y-intercept of the function with the greater rate of change?

-3

-2

82.

Which expression is equivalent to 5^-2x-3?

-(5^-2x-3)

-(5^2x+3)

1/5^2x-3

1/5^2x+3

83.

Find the difference.

(7p + 4p³ - 8) - (-3p²+ 2 - 9p)

-3p²+ 4p³ -15 + 9

3p³ + 4p² - p + 3

4p³ -3p² +16p -10

4p³ +3p² + 16p + 10

84.

Factor x²- 6x + 8

(x-4)(x-2)

(x+4)(x+2)

(x-4)(x+2)

(x+4)(x-2)

85.

Write using negative exponents.
1/81

-9

9^-2

-81

1/-81

86.

What would be the correlation between elevation and temperature?

none

cannot be determined

positive correlation

negative correlation

87.

Choose the best situation for the graph.

A car is moving at a constant speed for several minutes. When it approaches a red light, it slows down and comes to a stop.

A plant grows steadily and then has a growth spurt during the rainy season. It remains the same height for a while and then grows steadily again.

A family buys a fish tank and some fish. After two weeks, they buy some more fish. After two more weeks, they buy even more fish.

A monkey swings from a high branch to a lower branch. He climbs along the branch. Then he jumps to a higher branch and takes a nap.

88.

According to the table, what is the relative frequency of Students ages 14 - 17 who skip breakfast?

About 27%

About 35%

About 15%

About 30%

89.

How many employees are there that make between $33,000 and $43,000

250

500

550

750

90.

Which dot plot has the greatest variability?

91.

Elliot says almost everyone arrived at the party after 10:00 P.M., but Nancy thinks most people came earlier. When did a majority of the people arrive?

7:00-7:59 P.M.

8:00–8:59 P.M.

9:00–9:59 P.M.

10:00–10:59 P.M.

92.

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

68%

34%

16%

2.5%

93.

Between what two standard deviations of a normal distribution contain 68% of the data?

one below and one above

two below and two above

two below and zero

zero and two above

94.

Choose the correct data set for this box and whisker plot

2, 11.5, 23.5

2, 7.5, 8, 11.5, 12, 14.5, 23.5

7.5, 11.5, 14.5

11.5, 3.2, 1.1, 8.90

95.

What percent of the data is between 25 and 30 on the number line?

25%

`50%

75%

100%

96.

What was the highest score on the math test?

97.

What is the interquartile range (IQR)?

98.

What is the standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

6.89

10.1

7.26

99.

This data is normally distributed. What percent of the data is in the shaded region?

68%

95%

99.7%

50%

100.

This data is normally distributed. What percent of the data is in the shaded region?

68%

95%

99.7%

50%

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Fast EOC Algebra Review

Total questions: 100

Worksheet time: 5hrs 48mins

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