Quiz about Algebra EOC Review

Question 1

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

Accepted Answer

1

Answer

0

Answer

Undefined

Answer

-1

Question 2

Simplify the exponential expression.

Accepted Answer

8x6y12

Answer

2x6y12

Answer

2x5y7

Answer

8x5y7

Question 3

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 4

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

Accepted Answer

All real solutions

Answer

No solution

Answer

n = 0

Answer

n = -2

Question 5

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 6

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 7

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 8

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

Accepted Answer

x > -6

Answer

x < -6

Answer

x > 6

Answer

x < 6

Question 9

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 10

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 11

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 12

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 13

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 14

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 15

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 seconds

Answer

8 seconds

Answer

1 second

Answer

1/4 second

Question 16

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 17

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 18

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 19

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 20

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 21

.How many zeros does this parabola have?

Accepted Answer

2

Answer

3

Answer

0

Answer

1

Question 22

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 23

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 24

Solve for x:

Accepted Answer

x = by + v

Answer

x = yb - v

Answer

x = by - v

Question 25

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 26

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 27

Which inequality represents the domain of the graph shown?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 28

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

Hint: factor

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 29

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

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 30

What system of equations is best represented by this graph?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 31

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 32

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

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 33

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 34

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 35

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 36

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 37

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

9890

Answer

9006

Answer

5433

Question 38

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 39

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 40

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 41

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

Accepted Answer

(-2,0)

Answer

(0,-2)

Answer

(2,0)

Answer

(0,2)

Question 42

Which point is a solution to the system?

Accepted Answer

(1, 0)

Answer

(0, 6)

Answer

(-3, 4)

Answer

(-4, 3)

Question 43

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 44

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 45

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 46

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 47

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

Accepted Answer

27

Answer

12

Answer

81

Answer

243

Question 48

A new savings account is opened with $400 and gains 3% every year. How much is in the account after 5 years?

Accepted Answer

$463.71

Answer

$415

Answer

$343.49

Answer

$460.12

Question 49

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 50

Find the product.
(d+9)²

Accepted Answer

d2+18d+81

Answer

d2+81

Answer

d2-81

Answer

d2-18d-81

Question 51

What is this type of function called?

Accepted Answer

Step Function

Answer

Discrete Function

Answer

Segment Function

Answer

Jump Function

Question 52

Which graph does NOT pass the vertical line test?

Accepted Answer

Graph 1

Answer

Graph 2

Answer

Graph 3

Answer

Graph 4

Question 53

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

Question 54

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 55

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?

Accepted Answer

all non-negative integers less than or equal to 100

Answer

all whole numbers

Answer

all non- negative rational numbers

Answer

all non-negative integers that are multiples of 9

Question 56

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?

Accepted Answer

-2

Answer

1

Answer

-3

Answer

5

Question 57

Find the difference.

(7p + 4p³ - 8) - (-3p²+ 2 - 9p)

Accepted Answer

4p³ + 3p² +16p -10

Answer

-3p²+ 4p³ -15 + 9

Answer

3p³ + 4p² - p + 3

Answer

4p³ +3p² + 16p + 10

Question 58

Factor x²- 6x + 8

Accepted Answer

(x-4)(x-2)

Answer

(x+4)(x+2)

Answer

(x-4)(x+2)

Answer

(x+4)(x-2)

Question 59

Write using negative exponents.
1/81

Accepted Answer

9-2

Answer

-9

Answer

-81

Answer

1/-81

Question 60

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

Accepted Answer

About 27%

Answer

About 35%

Answer

About 15%

Answer

About 30%

Question 61

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

Accepted Answer

500

Answer

250

Answer

550

Answer

750

Question 62

Which dot plot has the greatest variability?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 63

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?

Accepted Answer

34%

Answer

68%

Answer

16%

Answer

2.5%

Question 64

Choose the correct data set for this box and whisker plot

Accepted Answer

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

Answer

2, 11.5, 23.5

Answer

7.5, 11.5, 14.5

Answer

11.5, 3.2, 1.1, 8.90

Algebra EOC Review

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