Free Printable Day 5 & 6 EOC - Expressions & Exponential

1.

Simplify:

a)

2√12

b)

4√12

c)

4√3

d)

16√3

2.

Simplify:

a)

240

b)

300

c)

340

d)

360

3.

Simplify completely.

a)

3v√2v

b)

3v√2v³

c)

v√18v

d)

9v√v

4.

a)

13√3

b)

10√30

c)

13√6

d)

11√3

5.

Solve.

a)

no solution

b)

6

c)

3

d)

4

6.

a)

A

b)

B

c)

C

d)

D

7.

Find the factors

16xy - 24y

a)

4y (4x - 6)

b)

8y (2xy - 3y)

c)

8y (2x - 3)

d)

2xy (8 - 12y)

8.

Find the factors

12x²y⁴ - 6xy

a)

3xy (4xy³ - 2)

b)

6xy (2xy³ - 1)

c)

6xy (2x³y⁵ - x²y²)

d)

6xy ( 2xy³)

9.

How do you solve:
(2x⁵)(6x⁴)

a)

MULTIPLY coefficients
MULTIPLY exponents

b)

DIVIDE coefficients
SUBTRACT exponents

c)

Combine like terms

d)

MULTIPLY coefficients
ADD exponents

10.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

11.

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

12.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

13.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

14.

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

a)

Growth

b)

Decay

15.

In the equation, what is the rate?

y=600(.85)^t

a)

85%

b)

15%

c)

25%

d)

1.5%

16.

In the equation, what is the rate?

y=600(1.05)^t

a)

50%

b)

5%

c)

.5%

d)

.05%

17.

What is the asymptote of y = 2^x - 3

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

18.

What is the explicit formula for the sequence below?

3, -12, 48, -192

a)

$T_n=3\left(-4\right)^{n-1}$

b)

$T_n=-3\left(4\right)^{n-1}$

c)

$T_n=3\left(4\right)^{n-1}$

d)

$T_n=\left(-4\right)^{n-1}$

19.

What is the 6th term of the geometric sequence

16, -8, 4, -2 ...

a)

-1/2

b)

1/4

c)

-1/16

d)

1/64

20.

You have inherited land that was purchased for $30,000 in 1968. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2018?

a)

$344,022

b)

$31,500

c)

$15,000

d)

$28,500

21.

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How many milligrams are present after 3 hours?

a)

143.2

b)

366.2

c)

858.7

d)

101.6

22.

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

a)

70(2)³⁵

b)

2(70)⁵

c)

5(70)²

d)

70(2)⁵

23.

What is the rate of decay? f(x) = 200(0.79)^x

a)

79%

b)

21%

c)

31%

d)

200%

24.

Select all the equations that represent exponential decay.

a)

$y=\frac{1}{2}\left(4\right)^x$

b)

$y=4\left(\frac{1}{2}\right)^x$

c)

$y=80\left(1.4\right)^x$

d)

$y=60\left(0.7\right)^x$

e)

$y=3\left(0.6\right)^x$

25.

. Kelly plans to put her graduation money into an account and leave it there for 4 years while she goes to college. She receives $900 in graduation money that she puts into an account earning 4.25% interest annually. How much will be in Kelly’s account at the end of four years?

a)

$1,052.87

b)

$1,063.03

c)

$3,711.09

d)

$293,628.5

26.