Free Printable Algebra Unit 2 Review

1.

Caiden earned $475 from mowing lawns last summer.He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?

a)

$827.52

b)

$831.10

c)

$839.45

d)

$846.80

2.

Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded annually, what will be the balance after 18 years (to the nearest dollar)?

a)

$6,274

b)

$6,314

c)

$6,385

d)

$6,249

3.

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

4.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

5.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

6.

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

a)

$23,219.72

b)

$136.72

c)

$51,710.94

d)

$16,710.94

7.

Write the rate of decay of the function as a percent. $y=12\left(.9\right)^t$

a)

10%

b)

90%

8.

Write the rate of decay of the function as a percent. $y=50\left(0.65\right)^t$

a)

65%

b)

35 %

9.

How do you know that this was exponential decay? $f\left(x\right)=\ 25\left(0.20\right)^x$

a)

Because the 25 was greater than one

b)

Because the 0.20 was greater than one

c)

Because the 25 was less than one

d)

Because the 0.20 was less than one

10.

Write the explicit formula for the sequence.

9, 5, 1, -3, ...

a)

$a_n=9+5\left(n-1\right)$

b)

$a_n=9-4\left(n-1\right)$

c)

$a_n=4+9\left(n-1\right)$

d)

$a_n=9\cdot4^{\left(n-1\right)}$

11.

Write the explicit formula for the sequence.

216, 72, 24, 8, ...

a)

$a_n=216\cdot\left(\frac{1}{3}\right)^{\left(n-1\right)}$

b)

$a_n=8\cdot3^{\left(n-1\right)}$

c)

$a_n=216-144\left(n-1\right)$

d)

$a_n=216\cdot3^{\left(n-1\right)}$

12.

Write the explicit formula for the sequence.

15, 22, 29, 36, 43, ...

a)

$a_n=15+22\left(n-1\right)$

b)

$a_n=15\cdot7^{\left(n-1\right)}$

c)

$a_n=15+7\left(n-1\right)$

d)

$a_n=29-14^{\left(n-1\right)}$

13.

Write the explicit formula for the sequence.

7, 28, 112, 448, ...

a)

$a_n=7+4\left(n-1\right)$

b)

$a_n=7\cdot4^{\left(n-1\right)}$

c)

$a_n=\frac{448}{4n}$

d)

$a_n=28+84\left(n-1\right)$

14.

This function has a pattern of multiplying or dividing the same number from one y-value to the next y-value as the x-value increases by one.

a)

Linear

b)

Exponential

c)

Neither

15.

The graph of this function is a curve going up really fast or down really fast.

a)

Linear

b)

Exponential

c)

Neither

16.

The graph of this function is a straight line.

a)

Linear

b)

Exponential

c)

neither

17.

What type of function describes the story below?
You have $10 and earn $5 every week.

a)

Linear

b)

Exponential

c)

Neither

18.

What type of function describes the story below?
You have $5 and triple your money every day.

a)

Linear

b)

Exponential

c)

Neither

19.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

20.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

21.

a)

Function

b)

Not a Function

22.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

23.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

24.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

25.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

26.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

27.

Is this table a function or not a function?

a)

Function

b)

Not a Function

28.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

29.

Evaluate f(x)=-2x+13 for f(10)

a)

-7

b)

1

c)

-8

d)

7

30.

For what value of x does f(x) = -2?

a)

0

b)

-5

c)

3

d)

-3

31.

What is the Domain of this linear function?

a)

-6 ≤ x ≤ 6

b)

0 ≤ x ≤ 7

c)

2 ≤ x ≤ 7

d)

No Solution

32.

What is the Range of this linear function?

a)

-6 ≤ y ≤ 6

b)

0 ≤ y ≤ 6

c)

No Solution

d)

4 ≤ y ≤ 3

33.

$B\left(x\right)=2^x$ represents the number of bacteria, B(x), after "x" hours. What is an appropriate domain?

a)

All Real Numbers

b)

All Integers

c)

Positive integers

d)

Positive rational numbers

34.

At an ice cream shop, the profit, P(x), is modeled by the function P(x) = 0.87x, where x represents the number of ice cream cones sold. An appropriate domain for this function is

a)

{...,-3, -2, -1, 0, 1, 2, 3...}

b)

{0, 1, 2, 3,...}

c)

{0.87, 1.74, 2.61...}

d)

Irrational Numbers

35.

Which domain would be the most appropriate to use for a function that compares the number of emails sent (x) to the amount of data used for a cell phone plan (y)?

a)

Integers

b)

Whole Numbers

c)

Rational Numbers

d)

Irrational Numbers

36.

a)

This is a function

b)

This is not a function

37.

a)

This is a function

b)

This is not a function

Algebra Unit 2 Review

Total questions: 37

Worksheet time: 3hrs 47mins

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