Free Printable Grade 9 Extended Winter Break Exit Ticket

1.

Evaluate f(-2) if f(x) = x²+ 3

a)

-1

b)

1

c)

7

d)

-7

2.

$f\left(n\right)=4-10n$

If f(n) = 14, what is the value of n?

a)

1

b)

-1

c)

-136

d)

-6

3.

Organize these options into the right categories

Categorize the following

input

Independent

x-coordinate

output

Dependent

y-coordinate

Domain

Range

X

f(x)

4.

Given f(x) = x² + 3x + 1, find f(-4).

(a)

5.

If I know that f(2) = 4, what is another way I can write my answer?

a)

2,4

b)

(2, 4)

c)

That is the only way to write it.

6.

Find $f\left(-2\right)$

a)

f(x) = 9

b)

f(x) = -9

c)

f(x) = -15

d)

f(x) = 21

7.

What is the proper way to write the answer for the following problem?

a)

2x³-x²-25x+12

b)

2x⁴-x³-25x²-12x+0

c)

2x³-x²-25x-12

d)

2x⁴-x³-25x²-12x-0

8.

What is the remainder when x⁴ - 5 is divided by x + 3?

a)

76

b)

81

c)

7

9.

What is the remainder when a³ - 4 is divided by a+2?

a)

-2

b)

-6

c)

-12

d)

0

10.

What is the transformation?

a)

Vertical Translation up 1

b)

Vertical Translation down 1

c)

Horizontal Translation left 1

d)

Horizontal Translation right 1

11.

What is the transformation?

a)

Vertical Translation up 2

b)

Vertical Translation down 2

c)

Horizontal Translation left 2

d)

Horizontal Translation right 2

12.

What is the range of the exponential function?

a)

all real numbers

b)

y > 3

c)

y < 3

d)

x > 3

13.

Which graph best represents

y=2^x-4

a)

b)

c)

d)

14.

Which of the following describes the transformation of $f\left(x\right)=\frac{1}{2}\cdot2^{\left(x+2\right)}-3$ from the parent graph $g\left(x\right)=2^x$ in a real-world scenario?

a)

Junwoo vertically shifted down 3, horizontally shifted left 2, and vertically compressed 1/2 units

b)

Kaiden vertically shifted up 3, horizontally shifted left 2, and vertically compressed 1/2 units

c)

Jane vertically shifted down 3, horizontally shifted right 2, and vertically compressed 1/2 units

d)

CP vertically shifted up 3, horizontally shifted right 2, and vertically compressed 1/2 units

15.

Put the steps in the correct order to solve the equation.

$5^{\left(3x-1\right)}\cdot5^{\left(2x-5\right)}=5^{\left(x+6\right)}$

a)

$\left(3x-1\right)+\left(2x-5\right)=x+6$

b)

$5x-6=x+6$

c)

$4x-6=6$

d)

$4x=12$

e)

$x=3$

1)

2)

3)

4)

5)

16.

Put the steps in the correct order to solve the equation.

$\frac{1}{216}=36^{\left(3x+6\right)}$

a)

$\frac{1}{6^3}=\left(6^2\right)^{\left(3x+6\right)}$

b)

$6^{-3}=\left(6^2\right)^{\left(3x+6\right)}$

c)

$-3=6x+12$

d)

$-15=6x$

e)

$-\frac{5}{2}=x$

1)

2)

3)

4)

5)

17.

Put the steps in the correct order to solve the equation.

$64^x=8^{\left(3x+1\right)}$

a)

$\left(8^2\right)^x=8^{\left(3x+1\right)}$

b)

$2x=3x+1$

c)

$-x=1$

d)

$x=-1$

1)

2)

3)

4)

18.

Put the steps in the correct order to solve the equation.

$32^{\left(x+6\right)}\cdot\frac{1}{2}=8^{\left(x-1\right)}$

a)

$\left(2^5\right)^{\left(x+6\right)}\cdot2^{\left(-1\right)}=\left(2^3\right)^{\left(x-1\right)}$

b)

$5x+30+-1=3x-3$

c)

$5x+29=3x-3$

d)

$2x=-32$

e)

$x=-16$

1)

2)

3)

4)

5)

19.

$2^{\left(3x-1\right)}\cdot4^{\left(5x-7\right)}=8^{\left(x+4\right)}$

20.

Solve the equation 3³ = 3^{4x + 2} in the context of a science experiment.

a)

Dana measures x = ¼

b)

Andrew measures x = -¼

c)

Bez measures x = ½

d)

Enoch measures x = -½

21.

Solve the equation 8 = 2^5x+7 in order to determine the value of x.

a)

x = ⅘

b)

x = ¼

c)

x = -⅘

d)

x = -¼

22.

Solve the following problem:

a)

3.5 liters

b)

3 liters

c)

4 liters

d)

4.5 liters

23.

Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?

a)

$33,299.42

b)

$33,672.68

c)

$34,157.04

d)

$34,710.88

24.

Match the word to the correct value of n.

a)

annually

1.

n = 1

b)

quarterly

2.

n = 4

c)

monthly

3.

n = 12

d)

weekly

4.

n = 52

e)

semi-annually

5.

n = 2

25.

Jun deposited $5000 in a savings account earning 1.5% interest compounded quarterly. After 3 years, what will be the balance in the account?

a)

$5,229.70

b)

$7,604.38

c)

$7,777.27

d)

$5,538.86

26.

Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.

a)

$12712.31

b)

$12,749.30

c)

$12,657.59

d)

$12550.84

27.

What does the n stand for in this formula?

a)

Initial amount

b)

Final amount

c)

Rate

d)

Time

e)

The number of times compounded per year

28.

The Hanson's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually,how much interest will they have paid after 30 years?

a)

$412,749.79 Labor Day

b)

$429,305.61 the 4th of July

c)

$471,259.24 Groundhog Day

d)

$494,546.99 Valentine’s Day

29.

Match the following

a)

1.

Growth

b)

2.

Decay

c)

a

3.

y-intercept

d)

$y\ =\ ab^x$

4.

Exponential Function Equation

e)

b

5.

Growth/Decay Factor

30.

Describe the function.

$y\ =\ 2\left(\frac{1}{2}\right)^x-\ 3$

Exponential function that goes (a) (b)

Choose from the below words

down

3 units

up

2 units

31.

Hannah inherited $35,000. She wants to invest it in a savings account at 4.2%, compounded monthly. How much money will she have in 10 years? YOU MUST ENTER THE ANSWER WITH NO DOLLAR SIGN, AND ROUND THE ANSWER TO 2 DECIMAL PLACES.

(a)

32.

CP took a loan of $1200 with simple interest for 6 years. If he paid $432 as interest at the end of the loan period, what was the rate of interest(in percent)? YOU MUST NOT INPUT THE % sign

(a)

Grade 9 Extended Winter Break Exit Ticket

Total questions: 32

Worksheet time: 8hrs 0mins

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