Quiz about Algebra 2 Spring Break Packet

Question 1

What is the slope of the line represented by 5x - 12y = 24?

Accepted Answer

5/12

Answer

-2

Answer

24/5

Answer

-12

Question 2

A plane can carry a maximum cargo weight of 160,000 pounds. A company uses one of these planes to ship 2,000-pound containers. The total cargo weight is a function of the number of containers in the plane. What is the greatest value in the domain for this situation?

Accepted Answer

80

Answer

162,000

Answer

320,000,000

Answer

158,000

Question 3

The student council sent its members on four field trips during the school year. The number of buses needed to transport the members on each trip is a function of the number of members who went on each trip. This function consists of only the ordered pairs (52,3), (72,4), (86,5), and (105,6). What is the domain for this situation?

Accepted Answer

{52, 72, 86, 105}

Answer

{52, 105}

Answer

{3, 4, 5, 6}

Answer

{3, 4, 5, 6, 52, 72, 86, 105}

Question 4

Question 4.

Accepted Answer

All real numbers greater than or equal to -8

Answer

All real numbers

Answer

All real numbers greater than or equal to -7

Answer

All real numbers greater than or equal to 0

Question 5

Which statement is true?

Accepted Answer

The range is the set of all real numbers greater than 0.

Answer

The range is the set of all real numbers less than 0.

Answer

The domain is the set of all real numbers greater than -4.

Answer

The domain is the set of all real numbers less than -4.

Question 6

What is the range of this situation?

Accepted Answer

All real numbers greater than or equal to 0 and less than or equal to 9

Answer

All real numbers greater than or equal to 0 and less than or equal to 28

Answer

All real numbers less than or equal to 28

Answer

All real numbers less than or equal to 9

Question 7

Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 8

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4. What is the range of the function for this situation?

Accepted Answer

{4, 24, 44, 64, 86, 104, 124}

Answer

{0, 1, 2, 3, 4, 5, 6}

Answer

{0, 2, 4, 6}

Answer

{4, 44, 84, 124}

Question 9

Which graph best represents a function with a range of all real numbers greater than or equal to -6?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 10

The graph of the function is shown. What is the slope of the function?

Accepted Answer

1/3

Answer

-1/3

Answer

-3

Answer

3

Question 11

What is the slope of a line passing through (9,2) and (-9, -6)?

Accepted Answer

4/9

Answer

9/4

Answer

-4/9

Answer

-9/4

Question 12

Which of the following linear functions will have a rate of change of 2/3?

Accepted Answer

A function whose equation is 2x - 3y = 9

Answer

A function whose graph is a line that contains (6,10) and (10, 12)

Answer

A function whose equation is 3x - 2y = 12

Answer

A function whose graph has an x-intercept of (3,0) and a y-intercept of (0,2)

Question 13

Look at the lines graphed. Which line appears to have a slope of 1.5?

Accepted Answer

Line b

Answer

Line a

Answer

Line c

Answer

Line d

Question 14

What is the rate of change of the line graphed?

Accepted Answer

-2.5

Answer

12

Answer

-0.4

Answer

5.5

Question 15

Which of the following data sets belong to a linear function with a rate of change of 3?

Accepted Answer

I, II, and III

Answer

I and II only

Answer

I only

Answer

III only

Question 16

The slope of a line that passes through the points (-6, w) and (-10, 4) is 1/8. What is the value of w?

Accepted Answer

9/2

Answer

36

Answer

34

Answer

1/2

Question 17

A linear function contains the point (4, 9) and has a slope of 4. Which of the following points will also belong to the function?

Accepted Answer

(0, -7)

Answer

(-1, -10)

Answer

(3, 6)

Answer

(1, 2)

Question 18

Which describes the range of the function with the graph shown?

Accepted Answer

All real numbers greater than or equal to -5

Answer

All real numbers greater than or equal to 0

Answer

All real numbers greater than or equal to -6

Answer

All real numbers

Question 19

Question 19.

Accepted Answer

Negative correlation

Answer

Positive correlation

Answer

No correlation

Answer

Absolute correlation

Question 20

Question 20.

Accepted Answer

The rocket reached its maximum height in about 6 seconds.

Answer

The speed of the rocket was greatest at about 6 seconds after it was fired.

Answer

The rocket traveled 180 meters.

Answer

The rocket returned to the ground in about 6 seconds.

Question 21

What are the solutions to the equation 0 = x²+ 3x - 10?

Accepted Answer

x = 2, x = -5

Answer

x = -2, x = -5

Answer

x = -2, x = 5

Answer

x = 2, x = 5

Question 22

A function is described by the equation f(x) = 2x + 3. The domain is {2, 4, 6, 8}. What is the range?

Accepted Answer

{7, 11, 15, 19}

Answer

{4, 8, 12, 16}

Answer

{2, 4, 6, 8}

Answer

{1, 5, 9, 13}

Question 23

What are the roots of the quadratic equation 2x² + 6x - 20 = 0?

Accepted Answer

2 and -5

Answer

2 and 5

Answer

-2 and 5

Answer

-2 and -5

Question 24

What is the slope of this line?

Accepted Answer

0

Answer

-3

Answer

Undefined

Answer

1

Question 25

What is the equation of the linear function graphed?

Accepted Answer

y = -3

Answer

x = -3

Answer

x = -4

Answer

y = -4

Question 26

Jamie and Cynthis sold a total of 84 raffle tickets. Jamie sold 3 fewer than twice the number Cynthis sold. Which system of equations could be used to determine the number of raffle tickets sold by Jamie, j, and Cynthia, c?

Accepted Answer

j + c = 84

j = 2c -3

Answer

j + c = 84

j = 3 - 2c

Answer

j + c = 84

c = 2j +3

Answer

j + c = 84

j = 3c + 2

Question 27

What is the rate of change of y with respect to x of the line graphed?

Accepted Answer

-5/3

Answer

5/3

Answer

3/5

Answer

-3/5

Question 28

Identify the domain of the following relation:

Accepted Answer

{-6, 0, 2, 4}

Answer

{-6, 14, 2, 28}

Answer

{-6,14, 0, 32, 2, 38, 4,44}

Answer

{14, 32, 38, 44}

Question 29

Which graph is not a function?

Accepted Answer

Graph 1

Answer

Graph 2

Answer

Graph 3

Answer

Graph 4

Question 30

Which set of values is a function?

Accepted Answer

(6,-5) (7, -3) (8, -1) (9, 1)

Answer

(9,5) (10,5) (9,-5) (10,-5)

Answer

(3,4) (4,-3) (7,4) (3, 8)

Answer

(2, -2) (5, 9) (5, -7) (1, 4)

Question 31

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 32

What is the domain?

Accepted Answer

All real numbers

Answer

x = 2

Answer

y = 2

Answer

None of these

Question 33

Solve:
6(5x - 3) + 2 = 14

Accepted Answer

1

Answer

2

Answer

.5

Answer

-1

Question 34

Solve:
2(a + 4) = 2a - 8 + 4a

Accepted Answer

4

Answer

3

Answer

-3

Answer

-4

Question 35

Solve the proportion.

Accepted Answer

p=308

Answer

p=31.3

Answer

p=924

Answer

p=532

Question 36

Write an equation that could be used to find how many packs of DVDs you can buy with 168 dollars if one pack costs 12 dollars.

Accepted Answer

12x = 168

Answer

168x = 12

Answer

12(168) = x

Answer

12 / x = 168

Question 37

Write an equation from the following description: Bob sells popcorn at 50 cents per bag.

Accepted Answer

y=0.5x

Answer

y=5x

Answer

y=1/5x

Answer

y=1/0.5x

Question 38

Rita works at a music store. On Tuesday, she sold 6 more than 3 times the number of guitars that she sold on Monday. Rita sold a total of 110 guitars over the two days. Write a system of equations that can be used to find the number of guitars she sold on Monday and Tuesday. Let m = number of guitars sold on Monday and

t = number of guitars sold on Tuesday.

Accepted Answer

m + t = 110

t = 6 + 3m

Answer

m + t =9

t = 6 + 3m

Answer

m + t = 110

m = 6 + 3t

Answer

m + t = 110

t = 3m - 6

Question 39

An Algebra book has a total of 1382 pages which is broken into two parts. The second part of the book has 64 more pages than the first part. Write a system of equations to find the number of pages for each part of the book. Let  x =  number of pages of the first part of the book and y = number of pages of the second part of the book

Accepted Answer

x + y =1382
y = 64 + x

Answer

x + y =1382
y = 64x

Answer

x + y =1382
y = x - 64

Answer

x + y =1382
y = -64x

Question 40

At a holiday ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, which system could be used to determine the number of skis (s) and snowboards (b) rented?

Accepted Answer

s + b = 28
16s+19b=478

Answer

s+b=478
19s+16b=28

Answer

s+b=478
16s+19b=28

Answer

s+b=28
19s+16b=478

Question 41

Give the y-interecept
5x + y = 5

Accepted Answer

(0,5)

Answer

(1,0)

Answer

(5,0)

Answer

(0,1)

Question 42

Give the x-intercept
3x + 8y = 24

Accepted Answer

(8, 0)

Answer

(0, 8)

Answer

(3, 0)

Answer

(0, 3)

Question 43

The graph of f(x)= x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes the transformation?

Accepted Answer

A horizontal shift to the right 7.5 units

Answer

A horizontal shift to the left 7.5 units

Answer

A vertical shift down 56.25 units

Answer

A vertical shift up 56.25 units

Question 44

A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells?

Accepted Answer

n= 4(2)h

Answer

n= 4(1/2)^h

Answer

n= 4+ (2)^h

Answer

n= 4 + (1/2)^h

Question 45

The value of y is directly proportional to the value of x. If y=35 when x= 140, what is the value of y when x = 70?

Accepted Answer

17.5

Answer

18

Answer

29

Answer

15

Question 46

A projectile is launched into the air from the ground. The table shows the height of the projectile, h(t), at different times. Based on the table, which function can best be used to model this situation?

Accepted Answer

h(t)= -4.9t² + 295t + 0.6

Answer

h(t)= 99t² + 858

Answer

h(t)= -4.9t² +295t + 2

Answer

h(t)= 99t² + 1,470.3

Question 47

The graph of a quadratic function is shown on the grid. Which equations best represents the axis of symmetry?

Accepted Answer

x = 2

Answer

y = 6

Answer

y = 4

Answer

x = 0

Question 48

If p(x) = 5(x² + 1) + 16, what is the value of p(11)?

Accepted Answer

626

Answer

690

Answer

736

Answer

622

Question 49

Which expression is equivalent to (7x³)² (x⁸)^1/2?

Accepted Answer

49x10

Answer

14x10

Answer

14x7

Answer

49x7

Question 50

Range greater than or equal to 6?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 51

Which dashed line is an asymptote for the graph?

Accepted Answer

line s

Answer

line q

Answer

line r

Answer

line t

Question 52

The expression (x³) (x^-17) is equivalent to xⁿ. What is the value of n?

Accepted Answer

-14

Answer

-20

Answer

-51

Answer

-17/3

Question 53

What is the domain of this function?
(2, 4), (5, 5), (8, 6), (11, 7)

Accepted Answer

(2, 5, 8, 11}

Answer

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11)

Answer

{4, 5, 6, 7}

Answer

{2, 4, 5, 8, 6, 11, 7}

Question 54

What is the domain of the graph?

Accepted Answer

numbers between and including 1 and 4

Answer

numbers between and including 1 and 5

Answer

All positive numbers

Answer

All positive numbers greater than 1

Question 55

The function f(x)=3.25x+2 models the the total cost to bowl x number of games. What is the most appropriate domain of the function?

Accepted Answer

All non-negative integers

Answer

All integers

Answer

All rational numbers

Answer

All non-negative rational numbers

Question 56

The function f(x)=0.49x models the cost to purchase x pounds of apples from the grocery store.  What is the most appropriate domain for the function?

Accepted Answer

All non-negative rational numbers

Answer

All integers

Answer

All rational numbers

Answer

All non-negative integers

Question 57

Write the equation for the line in slope-intercept form.

Accepted Answer

y= 4x+3

Answer

y= -1x+3

Answer

y=1/4x+3

Answer

y= -4x+3

Question 58

What is the y-intercept in the equation y= -2x + 5

Accepted Answer

5

Answer

-2

Answer

3

Answer

Cannot be Determined

Question 59

Find the slope of the line that passes through
(1, -19) and (-2, -7)

Accepted Answer

-4

Answer

4

Answer

1/4

Answer

-1/4

Question 60

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 61

Find the x and y intercepts
4x - 5y = 40

Accepted Answer

x intercept is 10
y intercept is -8

Answer

x intercept is 10
y intercept is 8

Answer

x intercept is 10
y intercept is 20

Answer

x intercept is 8
y intercept is 10

Question 62

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

Accepted Answer

y +7 = -1/4(x - 4)

Answer

y - 4 = -1/4(x + 7)

Answer

y+ 7 = 4(x - 4)

Answer

y - 7 = -1/4(x - 4)

Question 63

Write the equation of a line parallel to the one pictured through the point (3,1) in point slope form.

Accepted Answer

y-1=1/2(x-3)

Answer

y+1=1/2(x+3)

Answer

y-1=-1/2(x-1)

Answer

y+1=-1/2(x+3)

Question 64

In an exponential function, what does the 'a' represent?

Accepted Answer

Y-INTERCEPT

Answer

SLOPE

Answer

RATE OF CHANGE

Answer

COMMON RATIO

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