Quiz about Ohio Algebra EOC Practice

Question 1

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

Accepted Answer

y = (5/3)x + 3

Answer

y = (5/3)x - 3

Answer

y = (5/3)x + 9

Answer

y = (3/5)x + 3

Question 2

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

Accepted Answer

1

Answer

0

Answer

Undefined

Answer

-1

Question 3

Simplify the exponential expression.

Accepted Answer

8x6y12

Answer

2x6y12

Answer

2x5y7

Answer

8x5y7

Question 4

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

Accepted Answer

f(5) = 6

Answer

f(5) = 16

Answer

f(5) = -4

Answer

f(5) = 24

Question 5

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

Accepted Answer

All real solutions

Answer

No solution

Answer

n = 0

Answer

n = -2

Question 6

Find the equation of the line shown

Accepted Answer

y = 2x + 4

Answer

y = 4x - 2

Answer

y = -2x + 4

Answer

y = -4x - 2

Question 7

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

Accepted Answer

y = 3x - 5

Answer

y = 1/3x + 7

Answer

y = 3x + 7

Answer

y = 1/3x - 5

Question 8

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

Accepted Answer

y = 5x - 20

Answer

y = 5x - 5

Answer

y = 5x + 20

Answer

y = 5x + 15

Question 9

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

Accepted Answer

x > -6

Answer

x < -6

Answer

x > 6

Answer

x < 6

Question 10

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?

Accepted Answer

n + (3n - 4) = 100

Answer

n - (3n - 4) = 100

Answer

n + (4 - 3n) = 100

Answer

4 - 3n = 100

Question 11

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

Accepted Answer

(9,0)

Answer

(8,10)

Answer

8, 3, 0, 4, 9

Answer

(0,8)

Question 12

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)}

Accepted Answer

I and II only

Answer

I, II, and III only

Answer

II and IV only

Answer

III and IV only

Question 13

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

Accepted Answer

12a6b8

Answer

7a6b8

Answer

12a⁸b¹⁵

Answer

1a2b2

Question 14

Factor the following polynomial:
x²-x-6

Accepted Answer

(x-3)(x+2)

Answer

(x+3)(x-2)

Answer

(x+4)(x-2)

Answer

(x-4)(x+2)

Question 15

Find the slope and y-intercept:

6x + -2y = 18

Accepted Answer

slope = 3, y -intercept = -9

Answer

slope = -6, y-intercept = -2

Answer

slope = -3, y-intercept = 9

Answer

slope = 6, y-intercept = 3

Question 16

Is the relation a function? Why.

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 17

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?

Accepted Answer

4 seconds

Answer

4 ft

Answer

0 seconds

Answer

0 ft

Question 18

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?

Accepted Answer

1.5

Answer

8

Answer

1

Answer

1/4

Question 19

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 20

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 21

Which statement about the quadratic parent function is true?

Accepted Answer

Its graph is symmetrical about the y-axis

Answer

Its graph is symmetrical about the x-axis.

Answer

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

Answer

Its range is the set of all real numbers.

Question 22

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?

Accepted Answer

6,000

Answer

3,500

Answer

35,000

Answer

60,000

Question 23

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

Accepted Answer

(3,4)

Answer

(-3,4)

Answer

(3, -4)

Answer

(-3,-4)

Question 24

.How many zeros does this parabola have?

Accepted Answer

2

Answer

3

Answer

0

Answer

1

Question 25

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

Accepted Answer

x = -3

Answer

y = -2

Answer

x = 3

Answer

y = 2

Question 26

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

Accepted Answer

opens down with a maximum

Answer

opens up with a maximum

Answer

opens up with a minimum

Answer

opens down with a minimum

Question 27

Match the equation to its description.

Accepted Answer

Vertical Stretched by 2 and translation up 4

Answer

Vertical Compressed by 2 and translation up 4

Answer

Horizontal Stretched by 2 and translation left 4

Answer

Horizontal Compressed by 2 and translation right 4

Question 28

Solve for x:

Accepted Answer

x = by + v

Answer

x = yb - v

Answer

x = by - v

Question 29

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

Accepted Answer

y= x²+16x+71

Answer

y= x²+8x+71

Answer

y= x²+16x+64

Answer

y= x²+15x+7

Question 30

(34x⁵y⁶z^-7)⁰

Accepted Answer

1

Answer

34x⁵y⁶ / z⁷

Answer

34x⁵y⁶ / x^-7

Answer

0

Question 31

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

Accepted Answer

y=-3x-10

Answer

y=-1/3x-10

Answer

y=-10x+10

Answer

y=-4x-10

Question 32

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 33

Which inequality represents the domain of the graph shown?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 34

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 35

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

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 36

What system of equations is best represented by this graph?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 37

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

Accepted Answer

9x6y4

Answer

9x3y2

Answer

48x6y4

Answer

60x9y8

Question 38

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

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 39

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

Accepted Answer

y=400(1.0429)⁵

Answer

y=400(0.0429)⁵

Answer

y=400(4.29)⁵

Answer

y=400e^0.049*5

Question 40

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

Accepted Answer

2, 14, 98, 686...

Answer

7, 14, 28, 56...

Answer

2, 9, 16, 23...

Answer

7,9,11,13...

Question 41

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

Accepted Answer

a_n = a_n-1+5 ; a₁=3

Answer

a_n = (3)^n-1 ; a₁=5

Answer

a_n = (5)^n-1 ; a₁=3

Answer

a_n = a_n-1+3 ; a₁=5

Question 42

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?

Accepted Answer

32 laps

Answer

16 laps

Answer

64 laps

Answer

128 laps

Question 43

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?

Accepted Answer

9765

Answer

9766

Answer

9006

Answer

5433

Question 44

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 45

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

Accepted Answer

b > 1

Answer

a < 1

Answer

0 < b < 1

Answer

a > 1

Question 46

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

Accepted Answer

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

Accepted Answer

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

Accepted Answer

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

Answer

b(x) = 20(0.5)^x

Answer

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

Question 47

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

Accepted Answer

b(x) = 20(0.5)^x

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 48

What is the solution to the system?

Accepted Answer

(1, 3)

Answer

(0, 3)

Answer

(1, -1)

Answer

(-3, 1)

Question 49

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

Accepted Answer

(-2,0)

Answer

(0,-2)

Answer

(2,0)

Answer

(0,2)

Question 50

Which point is a solution to the system?

Accepted Answer

(1, 0)

Answer

(0, 6)

Answer

(-3, 4)

Answer

(-4, 3)

Question 51

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?

Accepted Answer

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

Answer

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

Answer

The candle is 6 inches tall before it is lit.

Answer

The candle is 0.25 inches tall before it is lit.

Question 52

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

Accepted Answer

f(n) = 6n - 11

Answer

f(n) = 4n - 9

Answer

f(n) = -4n - 9

Answer

f(n) = -6n - 11

Question 53

Solve the system of equations:

5x + 2y = -6

-2x - 2y = -6

Accepted Answer

(-4, 7)

Answer

(0, 3)

Answer

(0, -3)

Answer

(4, -13)

Question 54

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

Accepted Answer

4

Answer

-4

Answer

9

Answer

36/19

Question 55

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

Accepted Answer

y=15,000(0.92)^x

Answer

y=8(15,000)^x

Answer

y=15,000(1.08)^x

Answer

y=15,000(0.08)^x

Question 56

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

Accepted Answer

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

Answer

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

Answer

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

Question 57

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

Accepted Answer

27

Answer

12

Answer

81

Answer

243

Question 58

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

Accepted Answer

$463.71

Answer

$415

Answer

$343.49

Answer

$460.12

Question 59

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

Accepted Answer

2

Answer

4

Answer

3

Answer

6

Question 60

Find the product.
(d+9)²

Accepted Answer

d2+18d+81

Answer

d2+81

Answer

d2-81

Answer

d2-18d-81

Question 61

How many pieces make up this function?

Accepted Answer

4

Answer

1

Answer

3

Answer

2

Question 62

What is this type of function called?

Accepted Answer

Step Function

Answer

Discrete Function

Answer

Segment Function

Answer

Jump Function

Question 63

Which graph does NOT pass the vertical line test?

Accepted Answer

Graph 1

Answer

Graph 2

Answer

Graph 3

Answer

Graph 4

Question 64

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

Accepted Answer

x = -5 and x = 3

Answer

x = 5 and x = -3

Answer

x = 5 and x = 3

Answer

x = -5 and x = -3

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