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PMA 3 REVIEW

Total questions: 67

Worksheet time: 3hrs 59mins

Name
Class
Date
1.

Add or Subtract to Simplify:

(4n4 - 8n + 4) - (8n2 + 4n4 + 1)


Hint: Distribute the "negative sign" into the second polynomial and then ADD them together/Combine like terms.

a)

-8n2 - 8n + 3

b)

-7n2 - 8n + 3

c)

-6n2 - 8n + 3

d)

-7n2 - 4n + 3

2.

(2x + 3)(x2 + 4x + 1)


Hint: When multiplying do not forget to ADD your exponents!!!! Use your Box Method =)

a)

2x3 + 10x2 + 14x + 4

b)

2x3 + 11x2 + 14x + 3

c)

-2x3 - 11x2 + 14x + 5

d)

x3 - 11x2 + 14x + 3

3.

Find the area of a rectangle with length (x - 5) and width (3x + 1).


HINT: To find the Area use A = L x W.

(Box Method)

a)

3x2+16x-5

b)

3x2-14x+5

c)

3x2-14x-5

4.

What is the perimeter of the triangle shown?

HINT: Perimeter = ADD all the sides together (Combine Like terms)

a)

9r2 + r - 5

b)

9r4 + r2 - 4

c)

9r2 -r + 4

d)

9r2 + r - 4

5.

Which of the following operations are polynomials always closed under? Select ALL the APPLY

a)

Addition

b)

Division

c)

Multiplication

d)

Subtraction

6.

Which of the following operations are polynomials always closed under? Select ALL the APPLY

a)

Addition

b)

Division

c)

Multiplication

d)

Subtraction

7.

Which of the following Operations are Polynomials NOT CLOSED under?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

8.

Which of the following Operations are Polynomials NOT CLOSED under?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

9.

Which of the following best completes the following statement below?


Polynomials are closed under some operations (Addition, Subtraction & multiplication) because the result (the answer) of those operations...

a)

Will NEVER be a polynomial

b)

Will ALWAYS be a polynomial

c)

Will SOMETIMES be a polynomial

10.

Solve: 2(4x - 3) - 8 = 4 + 2x


Hint: Remeber to distribute first, then get your variables to one side and your numbers to the other side.


What every you do to one side you do to the other =)

a)

5/3

b)

3

c)

1

d)

2

11.

pV = nRT

solve for R


Hint: Use inverse operations to get "R" by itself. What ever you do to one side...you do to the other.

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

12.

Hint: To get ride of the fractions 1st... Multiply EVERYTHING by the lowest common multiply. LCM

a)

5

b)

-45

c)

-5

d)

4

13.

Is the graph pictured a function?

Hint: Must pass the vertical Line Test

a)

Yes

b)

No

14.

Hint: Must pass the vertical Line Test

a)

Function

b)

Not a Function

15.

Hint: NO REPEATING x's values!

a)

A

b)

B

c)

C

d)

D

16.
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.
17.

Select ALL set of order pair that represent functions.


Hint: NO REPEATING x's values!

a)

(9, 5) (10, 5) (-9, -5) (-10 ,-5)

b)

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

c)

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

d)

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

e)

(1, -3) (0, 2) (-1, 2) (-2, 4) (-4, 7) (1, -3)

18.

Given f(x) = 2x2 + 5x - 17

Find f(-1).

Hint: Plug "-1" into "x" and use order of operations to solve f(-1)

a)

f(-1) = -20

b)

f(-1) = -24

19.
The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(7) represent?
a)
A cost of $7 to ride the taxi
b)
The cost to ride 7 miles
c)
The minimum distance to ride a taxi
d)
The minimum cost of a taxi
20.
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?
a)
After 4 hours of work, Derek makes $37.
b)
Derek needs $4 more to have $37 total.
c)
After working for 4 days, Derek makes $37 total.
d)
After 4 hours of work, Derek now makes $37 an hour instead of $9.25.
21.

 Hint: <, > = Open Circle Hint:\ <,\ >\ =\ Open\ Circle\    Hint: ≤, ≥ = Closed Circle Hint:\ \le,\ \ge\ =\ Closed\ Circle\  

 What is the domain of the graph?

  


a)

1≤ x ≤ 4

b)

1 < x < 4

c)

1≤ y ≤ 4

d)

1 < y < 4

22.

What is the domain of the graph?

 Hint: <, > = open CircleHint:\ <,\ >\ =\ open\ Circle  

 Hint: ≤, ≥ = Colsed CircleHint:\ \le,\ \ge\ =\ Colsed\ Circle  

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

23.
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?
a)
After 4 hours of work, Derek makes $37.
b)
Derek needs $4 more to have $37 total.
c)
After working for 4 days, Derek makes $37 total.
d)
After 4 hours of work, Derek now makes $37 an hour instead of $9.25.
24.

A holiday church's meal costs $12.50 a person plus a delivery fee of $30. The equation is: f(x)=30+12.5x, where x is the number of hungry people. If there are 15 people in the church, what is the domain?

a)

0 < x < 15, x = all whole numbers

b)

0 < f(x) < 15

c)

0 < x < 15, x = all whole positive integers

25.

which equation best represents this graph?

a)

y < 1/2x + 1

b)

y < 1/2x + 2

c)

y >1/2x + 2

d)

y > 2x

26.

Which is true about this graph??

a)

it is shaded above and has a dashed line

b)

it is shaded below and has a solid line

c)

it is shaded above and has a solid line

d)

it is shaded below and has a dashed line

27.

Identify the inequality.

a)

y > x+1

b)

y ≤ 1x+1

c)

y ≥ x+1

d)

y ≤ x-1

28.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
29.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
30.

Which system of inequality is shown?

a)

y > -4/5x - 1

y ≤ 2/3x + 3

b)

y ≥ -4/5x - 1

y ≤ 2/3x + 3

c)

y < -4/5x - 1

 y < 2/3x + 3

d)

y = -4/5x - 1

y ≥ 2/3x + 3

31.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
32.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
33.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
34.
Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-1, 4)
b)
(1, -4)
c)
(-4, 1)
d)
(4, -1)
35.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
36.

Solve by elimination: Remember you are looking for Matching Opposites/You are always adding! PAY ATTENTION TO YOUR SIGNS

4x + 9y = 28

-4x - y= - 28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

37.

Solve by elimination: Remember you are looking for Matching Opposites/You are always adding! PAY ATTENTION TO YOUR SIGNS

-9x - 4y = -20


5x + 4y = 4

a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

38.

Select the systems that have the same solution as the following below.


5x + y = 9

10x − 7y = −18

a)

10x + 2y = 18

10x - 7y = -18

b)

-10x - 2y = -18

10x - 7y = -18

c)

15x - 5y = -9

10x - 7y = -18

d)

15x - 6y = -9

20x - 14y = -36

39.

Bruno has some yarn that he wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Bruno wants to use 2 kilograms of yarn to make a TOTAL of 15 items.


Which system of equations represents this situation?

a)

0.2h + 0.1s = 2

h + s = 15

b)

0.1h + 0.2s = 15

h + s = 2

c)

0.1h + 0.2s = 2

h + s = 15

d)

0.2h + 0.1s = 15

h + s = 2

40.

Carla volunteered to make pies for a bake sale. She bought two pounds of apples and six pounds of peaches and spent $19. After baking the pies, she decided they looked so good she would make more. She went back to the store and bought another pound of apples and five more pounds of peaches and spent $15. What are the costs per pound of apples and peaches? (You will have to create a system to answer this)

a)

Apples cost $0.32 per pound

Peaches cost $3.06 per pound

b)

Apples cost $1.25 per pound

Peaches cost $2.75 per pound

c)

Apples cost $2.75 per pound

Peaches cost $1.25 per pound

d)

Apples cost $ 16.50 per pound

Peaches cost $0.50 per pound

41.

SELECT ALL the ordered pairs that ARE solutions to the following inequality represented on the graph.

a)

(0, 0)

b)

(3, 6)

c)

(3, -6)

d)

(-5, -2)

e)

(-3, 8)

42.

Maria owns a cake shop. She is currently preparing cakes for two anniversary parties. The first cake has 3 small tiers and 1 medium tier and will serve a total of 100 guests. The second one has 3 small tiers and 2 medium tiers and will serve a total of 140 guests. How many guests will a small tier serve? A medium tier? (You will have to create a system to answer this)

a)

A Small Tier Serves 20 guest

A Medium Tier serves 40 guest

b)

A Small Tier serves 10 guests

A Medium Tier serves 20 guests

c)

A Small Tier serves 40 guest

A Medium Tier serves 20 guests

d)

A Small Tier serves 33 guests

A Medium Tier serves 70 guests

43.

What are the transformations?

HINT: y = (x - h)^2 + k "h" move left and right OPPOSITE and "k" move up and down.

y = (x-2)2 + 4


(Choose ALL that apply.)

a)

Horizontal shift right 2

b)

Horizontal shift left 2

c)

Vertical shift up 4

d)

Vertical shift down 4

44.

How did we transform from the parent function f(x) =  x2x^2  ?
 (Choose ALL that apply.)

 g(x) = −15x2 + 7g\left(x\right)\ =\ -\frac{1}{5}x^2\ +\ 7  

a)

reflection over the x-axis

b)

vertical shift up 7

c)

vertical stretch of 1/5

d)

vertical shift down 7

e)

vertical compression of 1/5

45.

In the equation f(x) = 5(x+3)2 - 10 what does the 5 do?

Hint: if "a" is greater than 1 stretches/if a is less than 1 it compresses.

a)

Vertical stretch by 5

b)

Horizontal compress by 5

c)

Reflect

d)

Move up 5

46.

In the equation f(x)= 1/2(x+9)2 - 1, what happens to the parabola? (Choose ALL that apply.)

a)

right 9

b)

Vertical compress by 1/2

c)

Horizontal Compress by 1/2

d)

left 9

e)

down 1

47.

How many solutions does this system of equations have? What are the solutions ("x" values)? Select ALL

a)

one solution

b)

two solutions

c)

x = - 3

d)

x = 4

e)

x = 1

48.

Determine the number of solutions to the given linear-quadratic system? What are the approximate solutions "x's values"? SELECT ALL

a)

x = 2

b)

1 solution

c)

2 solutions

d)

x = 1.5

e)

x = -0.5

49.

Identify all solutions for the graph

a)

(2, 3)

b)

(4, -2)

c)

(2, -4)

d)

(-2, 0)

50.

The graph of a Quadratic function is shown. Select ALL the statements that are true about the graph.

a)

it has a minimum

b)

it has a maximum

c)

the x - intercepts are (1, 0) and (3, 0)

d)

The y - intercept is (0, 0)

e)

The axis of symmetry is x = 2

51.

Solve for "x" using square roots. (Hint: Use inverse operations, what ever you do to ones side you do to the....OTHER)


x2 = 16

a)

± 4

b)

± 8

c)

4

d)

8

52.

Select ALL that apply. Which of the following below are 
equivalent (the same as) 

 3−33^{-3}  

a)

-27

b)

 133\frac{1}{3^3}  

c)

 −127-\frac{1}{27}  

d)

 127\frac{1}{27}  

53.

Simplify (34x5y6z-7)0


Think...ANYTHING to the zero0 power is ALWAYS....

a)

34x5y6 / z7

b)

34x5y6 / x-7

c)

0

d)

1

54.

Simplify the following expression and select which properties were used . Select ALL that apply
 

a)

 3x(5 − y)3^{x\left(5\ -\ y\right)}  

b)

Power of a Power Proerty and Quotient of Powers Property

c)

 3(x + 5 − y)3^{\left(x\ +\ 5\ -\ y\right)} 

d)

 3x + 5y3^{\frac{x\ +\ 5}{y}} 

e)

Product of Powers Property and Quotient of Powers Property 

55.

Rewrite the expression using a rational exponent.


HINT: POWER over ROOT

a)

4xy11

b)

xy44

c)

(xy)114\left(xy\right)^{\frac{11}{4}}

d)

(xy)411\left(xy\right)^{\frac{4}{11}}

56.
Is the following number rational or irrational? (π / 2)
a)
Rational
b)
Irrational
57.

The sum of two irrational numbers will ________________be irrational.

a)

Always

b)

Sometimes

c)

Never

58.

The sum of two irrational numbers will ________________be irrational.

a)

Always

b)

Sometimes

c)

Never

59.

HINT: POWER over ROOT

a)

44/3

b)

43/4

c)

24/3

d)

23/4

60.

HINT: POWER over ROOT

a)

23/5

b)

-23/5

c)

25/3

d)

85

61.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
62.

What is the equation for this graph?

a)

y = ⅔ x + 3

b)

y = -⅔ x + 3

c)

y = ⅔ x - 3

d)

y = -⅔ x - 3

63.

Bob has $150 in his savings account and saves $40 per month.


Hint: y = mx + b

a)

y = 150 + 40

b)

y = 40x + 150

c)

y = 150x + 40

64.
Johnny has to pay $15 for a large pizza and 1.50 for each topping.  What is the meaning of the y-intercept?
a)
It cost 1.50 per topping
b)
It cost 1.50 for unlimited toppings
c)
It cost $15 for a large pizza
d)
It cost $15 for a large pizza with no toppings
65.

The graph shows the amount of money you owe a bank after x months. What does the x-intercept mean?

a)

The amount of money you owe initially

b)

The number of months it took to pay back all the money

c)

The amount of money paid each month

d)

The number of months it took to pay half the money back

66.

Which of the following Operations are Polynomials NOT CLOSED under?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

67.

Which of the following Operations are Polynomials NOT CLOSED under?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

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