Free Printable EOC - Unit 3 and Unit 6 Equations and Functions Review

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EOC - Unit 3 and Unit 6 Equations and Functions Review

Total questions: 40

Worksheet time: 2hrs 51mins

Name

Class

Date

ax + c = R
(solve for x)

ax = R + c

ax = R - c

x = a(R-c)

x = ^(R-c)/_a

Solve:
y = mx + b , for b

y - mx = b

y + mx = b

^y/_mx = b

y + mx = -b

Solve for x:

x = yb - v

b + y + v = x

x = by + v

Solve for z:
A = nz + d

z = A/nd

z = (A - d)/n

z = A/(n + d)

z = A / (n - d)

Solve for y:
8x + 4y= 16

y = -8x + 16

y = 2x -4

y = -2x + 4

y = -8x + 12

pV = nRT
solve for R

R= pV/nT

R= p/n + V/T

R= pV - nT

R= (pV-n)/T

Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20

They should have divided by 1 for the last step

They should add 19 instead of subtracting 19

I can not find an error

Instead of adding 3k they should subtract 3k

Which property would be used to solve this equation?

__________________________

7n = 21 then n = 3

Division Property of Equality

Magic

Symmetric Property

Distributive Property

Which property could be used to solve this equation?

Select all that apply.

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

10.

Boyle's Law involves the pressure and volume of gas in a container. It can be represented by the formula P₁V₁ = P₂V₂. When the formula is solved for P₂ the result is

P₁V₁V₂

V₂/(P₁V₁)

(P₁V₁)/V₂

(P₁V₂)/V₁

11.

(2.5+h)f

g=1

f(5+h)/2

(5f+h) / 2

12.

What is the definition of function?

Has inputs and outputs

Every input has only ONE output

Inputs have different outputs every time

x-values and y-values

13.

Is the relation a function? Why.

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

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

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

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

14.

Function; each "x" is paired with exactly one "y"

Not a Function; each "x" is paired with more than one "y"

15.

Is this table a function or not a function?

Function

Not a Function

16.

Which set of values is a function? Select all that apply.

(9,5) (11,5) (7,-5) (10,-5)

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

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

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

17.

f(x)=2x+1
If f(x)=4, what is the value of x?

3/2

1/2

18.

Is this graph a function or not a function?

Function

Not a Function

19.

What is the domain of the graph?

1≤ x ≤ 4

1 < x < 4

1≤ y ≤ 4

1 < y < 4

20.

What is the range of the graph?

1 ≤ x ≤ 5

1 < x < 5

1 ≤ y ≤ 5

1 < y < 5

21.

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

x = -5

x = 5

x = -50

x = 30

22.

If f(x)=6x²-4,
what is f(1)?

23.

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

After 5 week the plant is 4 inches tall

The plant grows at a rate of 5/4 inch per week

After 4 weeks the plant is 5 inches tall

The plant grows at a rate of 1 inch per week

24.

The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(7) represent?

A cost of $7 to ride the taxi

The cost to ride 7 miles

The minimum distance to ride a taxi

The minimum cost of a taxi

25.

Derek works at Subway making $9.25 an hour. The function d(x)=9.25x tells us how much money Derek makes after x hours of working. What is the meaning of d(4)=37?

After 4 hours of work, Derek makes $37.

Derek needs $4 more to have $37 total.

After working for 4 days, Derek makes $37 total.

After 4 hours of work, Derek now makes $37 an hour instead of $9.25.

26.

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.

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

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

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

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

27.

If h(a) = 3 - 2a
Find h(-3).

-2

-3

28.

Paco's daughter will be participating in an upcoming dance recital. She will require a different costume for each dance she plans to performs.

c = the number of costumes Paco's daughter will require

d = the number of dances Paco's daughter plans to perform

Which of the variables is independent?

costumes

dances

29.

Sarah is bringing treats to her middle school class on her birthday. The number of treats she brings in is based on the number of students in her class.

t = the number of treats

s = the number of students

Which of the variables is dependent?

30.

Carey and Justin are raising money to purchase books for their school's library. The more money they raise, the more books they will be able to purchase for the library.
m = the amount of money Carey and Justin raise
b = the number of books Carey and Justin will be able to purchase
Which of the variables is dependent?

31.

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

SLOPE

RATE OF CHANGE

Y-INTERCEPT

COMMON RATIO

32.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

^.08

^1.08

.92

33.

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

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

34.

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

Growth

Decay

35.

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

Growth

Decay

36.

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

Exponential Growth

Exponential Decay

Linear

None

37.

Is this exponential growth or decay?

Growth

Decay

38.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

y=5000(0.7)^x

y=30(5000)^x

y=5000(1.3)^x

y=5000x^x

39.

What is f(0)? Select all that apply.

-1

-3

40.

What is x if f(x) = 0? Select all that apply.

-3

-1

100 %

EOC - Unit 3 and Unit 6 Equations and Functions Review

Total questions: 40

Worksheet time: 2hrs 51mins

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