Quiz about Regents Review (80 questions)

Question 1

What is a rational number ?

Accepted Answer

A rational number is a number that can be written as a fraction.

Answer

A rational number  is a number that cannot be written as a fraction.

Answer

A rational number cannot be a repeating  decimal.

Question 2

Which equation represents the following graph?

Accepted Answer

y = 2x + 3

Answer

y = 3x + 2

Answer

y = -2x + 3

Answer

y = -3x + 2

Question 3

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 4

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 5

Given f(x) = -4x - 10 and f(x) = 10. Find x

Accepted Answer

x = -5

Answer

x = 5

Answer

x = -50

Answer

x = 30

Question 6

If f(x)=6x²-4,
what is f(1)?

Accepted Answer

2

Answer

13

Answer

0

Answer

12

Question 7

What is x if
f(x) = -2?

Accepted Answer

8

Answer

4

Answer

0

Answer

3

Question 8

What is f(1)?

Accepted Answer

5

Answer

1

Answer

0

Answer

4

Question 9

A company is selling bubble gum.  The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum.  Find g(8) and tell what it means within the context of the problem.

Accepted Answer

g(8)=28.  This means that 8 packages of gum costs $28.

Answer

g(8)=8.  This means that after 8 packages of gum, the company makes $8.

Answer

g(8)=42.  This means that 8 packages of gum costs $42.

Answer

g(8)=24.  This means that 8 packages of gum costs $24.

Question 10

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.

Accepted Answer

y=15x+25

Answer

y=15x-25

Answer

15x+25y=100

Answer

25x+y=15

Question 11

Find the slope between the two given points: (-2,1) and (5,7)

Accepted Answer

6/7

Answer

7/6

Answer

2

Answer

-2

Question 12

If a system of equations has no solution, what does the graph look like?

Accepted Answer

parallel lines

Answer

intersecting lines

Answer

skew lines

Answer

intersecting lines

Question 13

Solve for x and y
3x + 2y = 16
7x + y = 19

Accepted Answer

(2,5)

Answer

(-2,5)

Answer

(-2,-5)

Answer

(2,-5)

Question 14

Solve the system of equations by substitution.
y = -4x + 5
y = 3x - 16

Accepted Answer

(3,-7)

Answer

(-3, -25)

Answer

(11, 17)

Answer

(21, 47)

Question 15

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

Accepted Answer

(-2,0)

Answer

(0,-2)

Answer

(2,0)

Answer

(0,2)

Question 16

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

Accepted Answer

$10

Answer

$5

Answer

$15

Answer

$20

Question 17

Which point below is NOT part of the solution set?

Accepted Answer

(-1, -3)

Answer

(0, 0)

Answer

(5, 1)

Answer

(20, -5)

Question 18

Factor
2x² - 13x - 70

Accepted Answer

(2x+7)(x-10)

Answer

(2x-7)(x+10)

Answer

(7x+5)(x+2)

Answer

2(x+7)(x+10)

Question 19

Factor
4x²-25x+25

Accepted Answer

(x-5)(4x-5)

Answer

4(x-5)(x+5)

Answer

(x+5)(4x+5)

Answer

(x+2)(9x+1)

Question 20

Factor
81m² - 1

Accepted Answer

(9m-1)(9m+1)

Answer

not factorable

Answer

(m-9)(m+9)

Answer

9m(9m-1)

Question 21

The vertex of this parabola is...

Accepted Answer

(4, 12.5)

Answer

(-4, -12.5)

Answer

(12.5, 4)

Answer

(-12.5, -4)

Question 22

Solve the equation using the quadratic formula.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 23

What do you do to the b value to correctly complete the square?

Accepted Answer

divide it by 2 and square the result

Answer

square it

Answer

divide it by 2 and take the square root of the result

Answer

divide it by 2 only

Question 24

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

Accepted Answer

2

Answer

4

Answer

8

Answer

20

Question 25

Solve the following equation by completing the square:
n² = 18n + 40

Accepted Answer

{20 and -2}

Answer

{11 and -11}

Answer

{16 and 2}

Answer

{10 and -4}

Question 26

The area of a playground is 336 yd2 . The width of the playground is 5 yd longer than its length. Find the length and width of the playground

Accepted Answer

length = 16 yd, width = 21 yd

Answer

length = 26 yd, width = 21 yd

Answer

length = 21 yd, width = 26 yd

Answer

length = 21 yd, width = 16 yd

Question 27

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation, where h is the height of the balloon and t is the time in seconds since the balloon was dropped. h = -16t² + 80 About how long did it take for the balloon to hit the ground?

Accepted Answer

2.24 seconds

Answer

1.73 seconds

Answer

2.45 seconds

Answer

2.83 seconds

Question 28

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

Accepted Answer

Right 3 and up 5

Answer

Left 3 and up 5

Answer

Right 3 and down 5

Answer

Left 3 and down 5

Question 29

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

Accepted Answer

g(x)=(x-1)³

Answer

g(x)=x3+1

Answer

g(x)=x3-1

Answer

g(x)=(x+1)³

Question 30

Which equation describes the transformation of shifting f(x)=x³ two units right?

Accepted Answer

(x - 2)3

Answer

x3 + 2

Answer

x3 - 2

Answer

(x + 2)3

Question 31

The value of a car is $15,000 and depreciates at a rate of 8% per year. Which of the following functions could represent this situation?

Accepted Answer

y=15000(.92)^x

Answer

y=15000(.08)^x

Answer

y=15000(1.08)^x

Answer

y=15000+0.8x

Question 32

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 33

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

9766

Answer

9006

Answer

9765

Answer

5433

Question 34

What is the median?

Accepted Answer

62

Answer

58

Answer

66

Answer

60

Question 35

What is the interquartile range (IQR)?

Accepted Answer

4

Answer

64

Answer

60

Answer

8

Question 36

Which box and whisker plot shows more "spread out" data?

Accepted Answer

Bottom plot

Answer

Top plot

Question 37

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 38

What is the equation of this graph?

Accepted Answer

f(x) = (x - 1)² - 5

Answer

f(x) = (x -5)² + 1

Answer

f(x) = (x + 1)² - 5

Answer

f(x) = (x + 5)² +1

Question 39

A rational + Irrational is

Accepted Answer

always irrational

Answer

irrational unless they are opposites

Answer

irrational unless the rational number is 0

Answer

always rational

Question 40

Solve
-2(x+3) = 4x + 6

Accepted Answer

x = -2

Answer

x = 2

Answer

x = 6

Answer

x = -6

Question 41

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

Accepted Answer

D:{0, 1, 2, -4}
R:{1, -3, -4}

Answer

D: {1, -3, -4,}
R: {0, 1, 2, -4}

Answer

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

Question 42

Which of the following describes the transformations that occurred from y = x²to obtain the graph of y = 2x² + 4?

Accepted Answer

narrower by 2 and translation up 4

Answer

wider by 2 and translation up 4

Answer

narrower by 2 and translation left 4

Answer

wider by 2 and translation right 4

Question 43

Suppose the cost for a class to go to a movie is given by the function C(x)=7x, where x represents the number of people. What is a practical domain for this scenario?

Accepted Answer

All integers greater than or equal to 0

Answer

All integers

Answer

All rational numbers

Answer

All rational numbers greater than or equal to 0

Question 44

Suppose you go to the deli to buy some cheese. The person at the deli weighs your cheese to determine how much you will pay for it. The cost of the cheese is C(x)=.39x, where x represents the number of pounds of cheese. What is a practical domain for this scenario?

Accepted Answer

All rational numbers greater than or equal to 0

Answer

All integers

Answer

All positive integers

Answer

All rational numbers

Question 45

Suppose you decide to start selling candy bars at school to raise money for a special trip. The profit for selling your candy bars is given by the following function: P(c)= 1.5c, where c is the number of candy bars. What is a practical domain for this scenario?

Accepted Answer

All integers greater than or equal to 0

Answer

All integers

Answer

All rational numbers

Answer

All rational numbers greater than or equal to 0

Question 46

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

Accepted Answer

-16, -11, -6, -1

Answer

-16, -21, -26, -31

Answer

5, -11, -27, -43

Answer

-16, -80, -500, -200

Question 47

Write the recursive formula of 13, 9, 5...

Accepted Answer

a_n=a_n-1-4, a₁=13

Answer

a_n=a_n-1+3, a₁=13

Answer

a_n=a_n-1-5, a₁=13

Answer

a_n=a_n-1+4, a₁=13

Question 48

Which recursive formula best describes the sequence
2, -6, 18, - 54...

Accepted Answer

a_n=a_n-1* -3, a₁=2

Answer

a_n=a_n-1* -4, a₁= 2

Answer

a_n=a_n-1* - 8, a₁=2

Answer

a_n=a_n-1* 2, a₁= -3

Question 49

Solve for y:
8x + 4y= 16

Accepted Answer

y = -2x + 4

Answer

y = -8x + 16

Answer

y = 2x -4

Answer

y = -8x + 12

Question 50

Solve:
C = xv + x , for v

Accepted Answer

(C-x)/x = v

Answer

(C+x)/x = v

Answer

(-C-x)/x = v

Answer

(Cx)/x = v

Question 51

Question 51.

Accepted Answer

(5f+h) / 2

Answer

(2.5+h)f

Answer

g=1

Answer

f(5+h)/2

Question 52

Solve for r.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 53

What is f when x equals 0?

Accepted Answer

1

Answer

-5

Answer

0

Answer

1/2

Question 54

A piecewise function (f(x)) is shown in the graph. What is f when x equals -4?

Accepted Answer

-2

Answer

-4

Answer

0

Answer

Does not exist

Question 55

When x is greater than 2, what equation is shown in the graph?

Accepted Answer

f(x) = 3

Answer

f(x) = x

Answer

f(x) = abs(x)

Answer

f(x) = abs(x-1)

Question 56

What is f(-2)?

Accepted Answer

4

Answer

1

Answer

1

Answer

DNE

Question 57

What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school?

Accepted Answer

29%

Answer

4%

Answer

14%

Answer

13%

Question 58

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 59

What type of association does this graph have?

Accepted Answer

positive

Answer

negative

Answer

none

Answer

all of the above

Question 60

Select the statement that best describes the line.

Accepted Answer

The line is NOT a line of best fit because it does not go through the middle of the data set.

Answer

The line is the line of best fit.

Answer

The line is NOT a line of best fit because it does not go through the origin.

Question 61

Estimate the correlation coefficient for this scatterplot.

Accepted Answer

r = -0.9

Answer

r = 1

Answer

r = 0.9

Answer

r = -1

Question 62

The sum of three consecutive integers is 48.  What is the smallest number in the group?

Accepted Answer

15

Answer

16

Answer

17

Answer

24

Question 63

Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244.

Accepted Answer

-39, -40, -41

Answer

-41, -42, -43

Answer

-41, -43, -45

Answer

41, 42, 43

Question 64

What is happening from point D to E?

Accepted Answer

The object is moving SLOWLY

Answer

The object is moving FAST

Answer

The object is slowing down

Answer

The object is NOT moving

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