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?

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

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.

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

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?

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

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.

Which statement about the quadratic parent function is true?

Its graph is symmetrical about the y-axis

Its graph is symmetrical about the x-axis.

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

Its range is the set of all real numbers.

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 parallel to 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 steeper than the graph of g.

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

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

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

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

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

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

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

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.

Algebra EOC Review

Authored by Lisa Crosby

Mathematics

8th - 9th Grade

CCSS covered

Used 408+ times

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100 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

Undefined

-1

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify the exponential expression.

2x⁶y¹²

2x⁵y⁷

8x⁶y¹²

8x⁵y⁷

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

f(5) = 6

f(5) = 16

f(5) = -4

f(5) = 24

Tags

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

No solution

n = 0

All real solutions

n = -2

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the equation of the line shown

y = 4x - 2

y = -2x + 4

y = 2x + 4

y = -4x - 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

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Algebra EOC Review

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

Simplify the exponential expression.

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

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

Find the equation of the line shown

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

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

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

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

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)}

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Algebra EOC Review

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

Simplify the exponential expression.

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

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

Find the equation of the line shown

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

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

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

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

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)}

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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

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

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

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

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)}