Free Printable EOX MAX REVIEW

1.

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.

2.

HINT: NO REPEATING x-values

a)

Function

b)

Not a Function

3.

Is this mapping diagram a function or not a function?

HINT: NO REPEATING x-values

a)

Function

b)

Not a Function

4.

Is this graph a function or not a function?

HINT: If it does not pass the vertical line test...it is NOT a function.

a)

Function

b)

Not a Function

5.

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

6.

Given f(x) = 2x² + 5x - 17, find f(-1).

HINT: Plug in (-1) and use PEMDAS to simplify

a)

f(-1) = -20

b)

f(-1) = -24

7.

Ms. Brackemyer is collecting pencils. The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days. What is the meaning of p(8)=52?

a)

Ms. Brackemyer starts with 8 pencils and ends with 52.

b)

After 8 days, Ms. Brackemyer has 52 pencils.

c)

Ms. Brackemyer starts with 52 pencils and gets 4 more every day.

d)

Every day, Ms. Brackemyer gets 4 new pencils until she has 52.

8.

What is the domain of the graph?

HINT: DOMAIN is your X - values.

a)

1≤ x ≤ 4

b)

1 < x < 4

c)

1≤ y ≤ 4

d)

1 < y < 4

9.

What is the value of x if f(x) = 6?

HINT: What is the x - value is the y value is "6"

a)

4

b)

0

c)

3

d)

-8

10.

What is the domain of the following graph?

HINT: DOMAIN is your X - values.

a)

0 ≤ x ≤ 60

b)

0 ≤ y ≤ 60

c)

0 ≤ x ≤ 12000

11.

What is the domain of the parabola created by the ball?

HINT: DOMAIN is your X - values.

a)

0 ≤ d ≤ 280

b)

0 ≤ h ≤ 150

c)

0 ≤ d ≤ 570

d)

0 ≤ h ≤ 280

12.

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

a)

Addition

b)

Division

c)

Multiplication

d)

Subtraction

13.

Which expression is equivalent to:

5(3x - 4)

a)

5x² + 3x - 4

b)

15x - 20

c)

10x²

d)

15x - 4

14.

What is the difference of the polynomials below?

(3x² - 3x + 2) - (x² - 2x + 1)

a)

2x² + x + 1

b)

2x² - 5x + 3

c)

2x² - x + 1

d)

4x² - 5x + 3

15.

What is the sum of the polynomials below?

(3x² + 6x - 1) + (4x² + 5x + 9)

a)

-x² + x - 10

b)

x² - x + 10

c)

7x² + 11x + 8

d)

7x² + 11x + 10

16.

Which expression is equivalent to

(5x - 2)(-2x + 3)?

a)

-10x² + 19x - 6

b)

-10x² + 11x - 6

c)

3x² + 5x + 5

d)

7x² + 6x + 6

17.

Solve the following compound inequality:

HINT: w.e you do to the inside, do to the outsides.

9\ \le\ -6x\ -\ 3<21

a)

$-2\ \le\ x\ <\ -4$

b)

$2\ \le\ x\ <4$

c)

$-4\ <\ x\ \le\ -2$

d)

$4\ <\ x\ \le\ 2$

18.

Solve for "P"

A\ =\ P\left(r\ +\ 1\right)

a)

$P\ =\ A\left(r\ +\ 1\right)$

b)

$P\ =\ \frac{A}{r\ +\ 1}$

c)

$P=\ A\ +\ \left(r\ +\ 1\right)$

d)

$P\ =\ A\ -\ \left(r\ +\ 1\right)$

19.

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)

20.

Use the quadratic formula to determine the solutions.

2x² + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

21.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

22.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

23.

Find the zeros of the equation:
(x+10)(x-2) = 0

a)

10 and 2

b)

-2 and 10

c)

-10 and 2

d)

-2 and -10

24.

Use the discriminant to determine the number of solutions the following quadratic equation has.

6x² − 2x − 3 = 0

a)

76 Two Solutions

b)

29 Two Solutions

c)

68 Two Solutions

d)

none of these

25.

Use the quadratic formula to solve for the Zeros.

2x² + 2x - 12 = 0

a)

x = -2, x = 3

b)

x = 2, x = 3

c)

x = 2, x = -3

d)

x = -2, x = -3

26.

If the Quadratic Equation $x^2\ +\ 8x\ +\ 5\ =\ 0\$ is rewritten as $\left(x\ -\ p\right)^2\ =\ q$ . What is the value of "p" and "q"

a)

p = 11 and q = -4

b)

p = 4 and q = 11

c)

p = -4 and q = 11

27.

The x-intercepts of a quadratic equation are known as the _____.

a)

vertices

b)

squares

c)

zeros

d)

formulas

28.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

29.

What are the zeros of the function f(x)= x(x - 3)(x+5)?

a)

-5 and 3

b)

0, -5 and 3

c)

-4 and -5

d)

0, -3 and 5

30.

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

a)

It has a maximum height of 4

b)

It has a minimum height of 4

c)

The Vertex is (-1, 4)

d)

The x - intercepts are (0, 1) & (0, -3)

e)

The y - intercept is (0, 3)

31.

Which of the following equations best represents the graph? HINT: Take the opposite of what's inside the () for the Zeros/Solutions to match the graph.

a)

y = (x - 1)(x + 5)

b)

y = (x + 1)(x - 5)

c)

y = -2

32.

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

a)

Addition

b)

Division

c)

Multiplication

d)

Subtraction

33.

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

a)

Addition

b)

Division

c)

Multiplication

d)

Subtraction

34.

Which of the following Operations are Polynomials NOT CLOSED under?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

35.

Which of the following Operations are Polynomials NOT CLOSED under?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

36.

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

37.

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

38.

Is the graph pictured a function?

a)

Yes

b)

No

39.

a)

Function

b)

Not a Function

40.

a)

Function

b)

Not a Function

41.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

42.

What is f(4) for this graph?

Hint: This is another way of saying, "what is the y -value...when x = 4"

a)

0

b)

1

c)

-4

d)

4

43.

What is f(4) for this graph?

a)

0

b)

1

c)

-4

d)

4

44.

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)

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

45.

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)

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

46.

Which graph represents a function?

a)

b)

c)

d)

47.

Select the systems that have the same solution/is equivalent as the following system below.

x + y = 11

2x + y = 5

a)

2x + 2y = 22

6x + 3y = 15

b)

5x + 5y = 11

2x + y = 19

48.

What is the solution to this system?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

49.

Which point below is NOT part of the solution set?

Hint: Which one is NOT in the shaded area?

a)

(0, 0)

b)

(-3, 6)

c)

(3, 5)

d)

(4, -2)

50.

Which of the following equations match the given graph?

Hint: Use the y-intercept and if it is shaded above/below the line to help you find your answer.

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

51.

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

Hint: Which ones are in the shaded area?

a)

(0, 0)

b)

(3, 6)

c)

(3, -6)

52.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

53.

When you graph the exact same equation twice,

a)

you will have infinite solutions.

b)

you will have one solution.

54.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

55.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

56.

The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?

a)

One

b)

Two

c)

Three

57.

What are the solutions to the system of equations graphed below?

a)

(2, 0)

b)

(0, 4)

c)

(-2,0)

58.

Determine the number of solutions to the given linear-quadratic system.

a)

0 solutions

b)

1 solution

c)

2 solutions

59.

How many solutions does this system of equations have?

a)

one solution

b)

no solution

60.

Could you eliminate RIGHT AWAY to Solve this system:?

x + 6y = 17

x - 3y = 8

a)

YES, b/c you have MOCS (Matching opposite coefficients)

b)

No, you should multiply the bottom on by 2 to create MOCS then you could ADD/Eliminate

61.

What could you multiple one of the equations by to create MOCS so you could eliminate?

x + 4y = –3

x + 7y = –12

a)

Top one by -1 so the x's cancel out

b)

Bottom one by 2 so the x's cancel out

62.

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

a)

y = 15(0.65)^x

b)

y = 15(1.35)^x

63.

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

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

64.

Is y = 5(1.04)^x growth or decay?

a)

Growth

b)

Decay

65.

Which of the following functions shows an initial amount of $15 and an DECAY of 25% each year?

a)

y = 15(0.75)^x

b)

y = 15(0.25)^x

66.

Rewrite the following

∛x⁵

Hint: Remember $\frac{POWER}{ROOT}=\ \sqrt[6]{x^5}=\ x^{\frac{5}{6}}$

a)

x^3/5

b)

x^5/3

67.

Rewrite the expression using a radical exponent:

Hint: Remember $\frac{POWER}{ROOT}=\ \sqrt[6]{x^5}=\ x^{\frac{5}{6}}$

a)

$x^{\frac{3}{2}}$

b)

$x^{\frac{2}{3}}$

68.

Rewrite the radical exponent:

Hint: Remember $\frac{POWER}{ROOT}=\ \sqrt[6]{x^5}=\ x^{\frac{5}{6}}$

a)

$\ \sqrt{x}$

b)

$\ ^1\sqrt{x^2}$

69.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

70.

What is the y-intercept in the equation?
y = 5x - 4

a)

5

b)

-4

c)

-5

d)

4

71.

Write the equation of the line.

Hint: THink of Mr. SLOPE

a)

y = -1/3x - 2

b)

y = 1/3x - 2

72.

The quadratic equation x²+ 16x + 15 was factored to (x + 1)(x + 15)

What are the ZEROS?

a)

x = 1 & x = 15

b)

x = -1 & x = -15

73.

The quadratic equation x²- 10x + 24 was factored to

(x - 4)(x - 6)

What are the ZEROS?

a)

x = 4 & x = 6

b)

x = -4 & x = -6

74.

Factor:

x² - 10x - 24

HINT: What two #s multiply to give your "c" and ADD to give you "b"

a)

(x - 12)(x + 2)

b)

(x + 6)(x - 4)

75.

Which does y= 2(.5)^xrepresent?

HINT: Remember if the "b value " less then 1 its a _______

a)

Exponential Growth

b)

Exponential Decay

76.

Which does y=.5(2)^x represent?

HINT: Remember if the b value is greater than 1 its a _______

a)

Exponential Growth

b)

Exponential Decay

77.

Cells dying off would be represented by which of the following?

a)

Exponential Growth

b)

Exponential Decay

78.

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.

HINT: (1 + r) where r is the % as a decimal.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

79.

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

HINT: (r + 1) where r is the % as a decimal.

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

80.

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

a)

300

b)

1.16

c)

.16

d)

x

81.

What does the y-intercept of the graph represent?

a)

The amount of grams the material is gaining.

b)

The amount of grams the material is losing.

c)

The amount of grams remaining after so many years.

d)

The initial amount of grams.

82.

f(x) = 800(.87)^x

By what percentage is the equation decaying?

HINT: (1 - r) where r is the b value of the equation.

a)

87%

b)

13%

c)

800%

d)

8.7%

83.

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. Suppose f(20) = 49. Which of the following is true?

a)

After 20 days, there are 49 ants in the colony.

b)

After 49 days there are 20 ants in the colony.

c)

The amount of ants times 20 is 49.

d)

After 20 days the amount of ants remaining decreases by 49.

84.

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

HINT: (1- r) where r is the % as a decimal.

a)

y=5000(0.7)^x

b)

y=30(5000)^x

c)

y=5000(1.3)^x

d)

y=5000x^x

85.

Simplify (34x⁵y⁶z^-7)⁰

^{HINT: Try to remember ANYTHING to the POWER of ZERO is ALWAYS___?___}

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

86.

HINT: $\frac{Power}{Root}\ =\ \sqrt[6]{x^5\ }=\ x^{\frac{5}{6}}$

a)

4^4/3

b)

4^3/4

c)

2^4/3

d)

2^3/4

87.

$\frac{Power}{Root}\ =\ \sqrt[6]{x^5\ }=\ x^{\frac{5}{6}}$

a)

2^3/5

b)

-2^3/5

c)

2^5/3

d)

8⁵

88.

Write with rational exponents:√(7x)

a)

(7x)^½

b)

7x^½

c)

7x²

d)

(7x)²

89.

Evaluate
√36

a)

$\pm\ 6$

b)

-9

c)

18

d)

-18

90.

√ 81

a)

8

b)

7

c)

10

d)

$\pm9$

91.

Simplify: √200

Hint: $\sqrt[]{200}=\ \sqrt[]{100}\ \times\ \sqrt[]{2}=\ ?$

a)

10√2

b)

2√10

c)

50√2

d)

2√50

92.

Simplify:
√96

a)

16√6

b)

6√16

c)

9√6

d)

4√6

93.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

94.

Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?

a)

800 + 5x = 4000

b)

800x + 5 = 4000

c)

4000 + 5x= 800

d)

800 + 5 = 4000

95.

Oshgosh would like to buy a new pair of skates for $115. So far he has saved $40. If he earns $7.50 per hour, how could I find out how many hours he must work in order to buy the skates?

a)

40 + 7.50x = 115

b)

40x + 7.50 = 115

c)

40 + 7.50 = 115

d)

40 + 17.50x = 115

96.

Which equation best represents the line on the graph?

$HINT:\ m\ =\frac{Rise}{Run}and\ think\ if\ the\ line\ is\ positive\ or\ negative.\ Mr.Slope$

a)

y= 1/2x

b)

y= -1/2x

c)

y = 2x

d)

y = -2x

97.

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

a)

y = 625x + 225

b)

y = 225x

c)

y = 225x + 625

d)

y = 625

98.

Give the equation for the graph $HINT:\ m\ =\frac{Rise}{Run}and\ think\ if\ the\ line\ is\ positive\ or\ negative.\ Mr.Slope$

a)

y = 5x - 3

b)

y = 4x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

99.

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

a)

The daily fee for the moving truck

b)

The per-mile fee for the moving truck

c)

How much Charlie paid for the truck

d)

The number of miles he drove

100.

The graph represents the height of a burning candle. What is the meaning of the y-intercept?

a)

the time it takes to burn the entire candle

b)

the rate at which the candle is losing height

c)

the change in the height of the candle each hour

d)

the original height of the candle

101.

Which property justifies the work between step 1 and step 2?

Step\ 1:\ \ \ \ \ 10-2k=k-5-3k

Step\ 2:\ \ \ \ \ \ 10-2k=-5-2k

a)

Distributive Property

b)

Combine Like Terms

c)

Multiplication Property of Equality

d)

Division Property of Equality

102.

Which property justifies the work shown?

$8n+42=8\left(n+5\right)$
$8n+42=8n+40$

a)

Distributive Property

b)

Addition Property of Equality

c)

Subtraction Property of Equality

d)

Multiplication Property of Equality

e)

Division Property of Equality

103.

Which property justifies the work shown?

$8n+42=8n+40$
$8n+2=8n$

a)

Distributive Property

b)

Addition Property of Equality

c)

Subtraction Property of Equality

d)

Multiplication Property of Equality

e)

Division Property of Equality

104.

Which property justifies the work shown?

$-2\left(w+2\right)=-2\left(w+5\right)+6$
$-2x-4=-2w-10+6$

a)

Distributive Property

b)

Addition Property of Equality

c)

Subtraction Property of Equality

d)

Multiplication Property of Equality

e)

Division Property of Equality

105.

Chris solve the following problem below.

Step 1: -4(x - 2) + 3 = 8x - 17

Step 2: -4x - 8 + 3 = 8x - 17

Step 3: -4x - 5 = 8x - 17

Step 4: -5 = 12x -17

Step 5: 12 = 12x

Step 6: x = 1

Which Property best describes what happen from step 1 to step 2?

a)

Division Property

b)

Multiplication Property

c)

Distributive Property

d)

CLT

106.

Step 1: -8(2x - 1) = 24 - 8x

Step 2: 2x -1 = -3 + x

Step 3: x - 1 = -3

Step 4: x = -2

Which property best describes what happened between Steps 1 and 2?

a)

Distributive Property

b)

Division Property

c)

CLT

d)

Multiplication Property

107.

Which point is a solution?

HINT: Solutions are in the overlapping region (Both Colors)

a)

(0, -6)

b)

(-3, 5)

c)

(1, 5)

d)

(-4, 3)

108.

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

a)

x+y≤300
7.5x+5.5y≥2000

b)

x+y<300
7.5x+5.5y≥2000

c)

x+y≤300
7.5x+5.5y≤2000

d)

x+y>2000
7.5x+5.5y≤300

109.

Coach Fekany needs to purchase new basketball equipment for the school. A new basketball costs $17 and a new practice jersey costs $10. He has a budget of at most $200. Write an inequality to represent the number of basketballs and practice jerseys that Coach Fekany can buy.

a)

10b + 17j < 200

b)

17b + 10j > 200

c)

10b + 17j > 200

d)

17b + 10j < 200

e)

17b + 10j < 200

110.

Select the ordered pair(s) that are SOLUTIONS to the system of inequalities [SELECT ALL THAT APPLY]

a)

(3,2)

b)

(0,0)

c)

(2,2)

d)

(0,-4)

e)

(-6,3)

111.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

112.

Use the graph to determine the solutions.

a)

(-1,0) and (-3,0)

b)

(1,0) and (-3,0)

c)

(1,0) and (3,0)

d)

(-1,0) and (3,0)

113.

Factor:

x² - 10x + 24

HINT: What two numbers multiply to give you 24 and ADD to giver you -10?

a)

(x - 6)(x - 4)

b)

(x + 6)(x + 4)

c)

(x - 12)(x + 2)

d)

(x - 8)(x - 3)

114.

Factor:

x² + 2x - 24

HINT: What two numbers multiply to give you -24 and ADD to giver you 2?

a)

(x - 6)(x + 4)

b)

(x + 6)(x + 4)

c)

(x - 6)(x - 4)

d)

(x + 6)(x - 4)

115.

p² − 5p − 14

HINT: What two numbers multiply to give you -14 and ADD to giver you -5?

a)

( p + 2)( p + 7)

b)

( p + 2)( p − 7)

c)

( p - 2)( p − 7)

d)

( p - 2)( p + 7)

116.

What are the Zeros? (Need to factor it first)...

t² - 6t + 8

HINT: What two numbers multiply to give you 8 and ADD to give you -6. Then take the opposites or your Binomials.

a)

(t - 4)(t - 6)

b)

t = 2 & t = 4

c)

t = - 2 & t = - 4

d)

(t - 2)(t - 4)

117.

Which of the following equations best represents the graph? HINT: Take the opposite of what's inside the () for the Zeros/Solutions to match the graph.

a)

y = (x -1)(x - 3)

b)

y = (x + 1)(x + 3)

c)

y = -3

118.

Use the graph to determine the solutions.

a)

x = -1 and x = -3

b)

x = 1 and x = -3

c)

x = 1 and x = 3

d)

x = -1 and x = 3

119.

What is the domain of the function?

Hint: DOMIAIN is your x's VAULES

a)

0 < h < 80

b)

0 ≤ h ≤ 80

c)

0 ≤ t ≤ 4.5

d)

0 < t < 4.5

120.

Factor

x²+ 12x + 35

HINT W2#G: Multiply to give you 35 ADD to give you 12

a)

(x+5)(x+7)

b)

(x+4)(x+3)

c)

(x+7)(x-5)

d)

Prime

121.

Factor

x² + 5x + 4

HINT W2#G: Multiply to give you 4 ADD to give you 5

a)

(x + 4)(x + 1)

b)

(x + 2)(x + 2)

c)

(x + 4)(x - 1)

d)

(x + 5)(x + 1)

122.

What are the Zeros?

x² + 11x + 24

HINT W2#G: Multiply to give you 24 ADD to give you 11

a)

x = -8 & x = -3

b)

x = 8 & x = 3

c)

(x + 8)(x + 3)

d)

(x - 8)(x + 3)

123.

What are the Zeros?

x²+ 3x + 2

HINT W2#G: Multiply to give you 2 ADD to give you 3

a)

(x + 2)(x + 1)

b)

x = -2 & x = -1

c)

x = 2 & x = 1

124.

Factor:

x² - 2x - 15

HINT W2#G: Multiply to give you -15 ADD to give you -2

a)

(x - 5)(x + 3)

b)

(x + 3)(x - 5)

c)

(x - 3)(x - 5)

d)

(x - 15)(x - 2)

125.

What are the Solutions?

x² + 7x + 6

HINT W2#G: Multiply to give you 6 ADD to give you 7

a)

(x + 6) (x + 1)

b)

x = -6 & x = -1

c)

x = 6 & x = 1

d)

(x - 6) ( x -1)

126.

Solve for the Zeros/Solutions:

(2x + 3)(x + 6) = 0

Hint: Use the Zero Product Property

a)

$x\ =\ -\frac{3}{2}\ \&\ \ x\ =\ -6$

b)

$x\ =\ -\frac{2}{3}\ \&\ x\ =\ -6$

c)

$x\ =\ \frac{3}{2}\ \&\ x\ =\ 6$

127.

Factor

x² - 11x + 30

HINT W2#G: Multiply to give you 30 ADD to give you -11

a)

(x + 5)(x + 6)

b)

(x - 5)(x - 6)

c)

(x - 10)(x + 3)

d)

(x - 10)(x - 1)

128.

Solve for "x" using Inverse Operations.

Hint: the opposite of squaring something is TAKE THE SQUARE ROOT

a)

x = 49 & x = 49

b)

x = 8 & x = -8

c)

x = 7 & x = -7

129.

Factor:

x²- 16

Hint W2#G: Multiply to give you -16 ADD to give you 0

a)

Prime

b)

( x - 4) ( x + 4)

c)

( x - 8) ( x + 8)

d)

( x - 4) ( x - 4)

130.

Find the product:

(y - 3)(y + 7)

REMEMBER to ADD your exponents when multiplying.

a)

y² - 21

b)

y² + 10x - 21

c)

y² + 4y - 21

131.

Find the product:

(3x + 2)(2x + 4)

REMEBER to ADD your exponents when Multiplying

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

6x² + 11x + 8

132.

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

$x^2\ =\ 225$

a)

± 10

b)

± 11

c)

± 15

d)

x = 15

133.

a)

{12.88,-12.88}

b)

{13.22,-13.22}

c)

{16}

d)

No Solution

134.

Which of the following equations best represents the graph? HINT: Take the opposite of what's inside the () for the Zeros/Solutions to match the graph.

a)

y = (x - 1)(x + 5)

b)

y = (x + 1)(x - 5)

c)

y = -2

135.

What are the zeros of the function p(x)? SELECT ALL THAT APPLY.

f(x) = x(x - 4)(x + 5)

HINT: How many x's are there???

a)

x = 0

b)

x = - 5

c)

x = 4

d)

x = - 4

e)

x = 5

136.

a)

Function

b)

Not a Function

137.

a)

Function

b)

Not a Function

138.

a)

Function

b)

Not a Function

139.

a)

Function

b)

Not a Function

140.

a)

Function

b)

Not a Function

141.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

142.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

143.

What is the domain of the following graph?

a)

$0\ \le\ x\ \le\ 60$

b)

$0\ \le\ y\ \le\ 60$

c)

$0\ \le\ x\ \le\ 12000$

144.

What is the domain of the parabola created by the ball?

a)

0 ≤ d ≤ 280

b)

0 ≤ h ≤ 150

c)

0 ≤ d ≤ 570

d)

0 ≤ h ≤ 280

145.

What is the DOMAIN of the graph?

a)

All real numbers

b)

0 ≤ x ≤ 4

c)

0 ≤ x ≤ 2000

d)

0 ≤ y ≤ 2000

146.

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)

147.

What is the vertex of the following equation:
y=-3(x-2)² - 4?

a)

(-2,-4)

b)

(2,-4)

c)

(3,-4)

d)

(2,4)

148.

What are the transformations?

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

149.

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

150.

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

151.

Determine the number of solutions to the given linear-quadratic function.

a)

0 solutions

b)

1 solution

c)

2 solutions

d)

3 solutions

152.

Identify all solutions for the graph

a)

(2, 3)

b)

(4, -2)

c)

(2, -4)

d)

(-2, 0)

153.

Which ordered pair(s) is a solution to the given system?

a)

(5,0)

b)

(1,-3)

c)

(3,3)

d)

(2,1)

154.

Describe the transformation of y = (x - 4)²

a)

Shift UP

b)

Shift DOWN

c)

Shift LEFT

d)

Shift RIGHT

155.

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

a)

a reflection across the line x = -4

b)

a reflection across the line y = -4

c)

a translation shifting f(x) 4 units to the left

d)

a translation shifting f(x) 4 units to the right

156.

Match the equation to its description.

a)

Reflected over x and up 4

b)

Reflected over x and down 4

c)

Reflected over x and right 4

d)

Reflected over x and left 4

157.

If the blue is f(x)=x^2,then the red must be

a)

g(x)=x²- 5

b)

g(x)=x²+ 5

c)

g(x)=(x - 5)²

d)

g(x)=(x + 5)²

158.

What kind of shift is represented? f(x) = 2^{(x - 1)}

a)

up 1 unit

b)

left 1 unit

c)

right 1 unit

d)

down 1 unit

159.

What transformations occur to f(x)=5^x to f(x) = 5^{(x - 3)}+ 2?

a)

translate right 3, up 2

b)

translate left 3, up 2

c)

translate left 3, down 2

d)

translate right 3, down 2

160.

What is the transformation?

a)

Vertical Translation up 2

b)

Vertical Translation down 2

c)

Horizontal Translation left 2

d)

Horizontal Translation right 2

161.

What transformations have happened to f(x) = 2^x if the new equation is

g(x) = -2^(x+3) -6

a)

reflect x-axis

b)

reflect y-axis

c)

left 3

d)

right 3

e)

down 6

162.

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

-2x + 6y = 16

-4x - 3y = 2

HINT: Remember you can ADD the systems together AND multiply on or both by a number to create equivalent systems.

a)

-4x + 12y = 32

4x + 3y = -2

b)

2x - 6y = -16

-4x - 3y = 2

c)

-6x + 3y = 18

-8x - 6y = 4

d)

-6x + 18y = 48

-24x - 18y = 12

163.

What are the ZEROs for the function f(x)?

f(x) = (x + 2)(x - 3)

a)

x = 2 & x = -3

b)

x = -2 & x = -3

c)

x = -2 & x = 3

164.

What are the ZEROs for the function f(a)?

f(a) = (x-5)(x+6)

a)

x = -5 & x = 6

b)

x = 5 and x = -6

c)

x = -5 & x = -6

165.

What are the ZEROs for the function f(x)?

f(x) = (2x - 1)(x + 4)

a)

x = 1/2 & x = -4

b)

x = -1/2 & x = 4

166.

What are the ZEROs for the function p(x)?

p(x) = x(x-3)(x-4)

a)

x = 0, x = 3 & x = 4 }

b)

x = 3 and x = 4

c)

x = 0, x = -3 and x = -4

167.

Which of the following equations best represents the graph? HINT: Take the opposite of what's inside the () for the Zeros/Solutions to match the graph.

a)

y = x(x + 4)

b)

y = x(x - 4)

168.

What is the growth factor of the situation represented by f(x)=10(0.3)^x? $Hint:\ Think\ of\ f\left(x\right)\ =\ a\ \times\ b^x$

a)

10

b)

0.3

c)

1

d)

3

169.

What is the initial value of the situation represented by f(x)=0.05(2)^x?

$HINT:\ Think\ of\ f\left(x\right)\ =\ a\ \times\ b^x$

a)

0.05

b)

2

c)

0.1

d)

1

170.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

171.

The Tiger population in a certain reserve drops by 5% every year. Currently, the population's size is 200.

Write a function that gives the Tiger population size P(t), t years from today.

a)

$P\left(t\right)\ =\ 200\left(0.95\right)^t$

b)

$P\left(t\right)\ =\ 200\left(1.05\right)^t$

c)

$P\left(t\right)\ =\ 200\left(5\right)^t$

d)

$P\left(t\right)\ =\ 200\left(.05\right)^t$

172.

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

173.

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

a)

it has minimum

b)

it has a maximum

c)

The y - intercept is (0, 0)

d)

There is only one x-intercept

e)

In the equation ax² + bx + c, the value of "a" would be negative x because the Parabola opens down.

174.

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

a)

It has a maximum height of 4

b)

It has a minimum height of 4

c)

The Vertex is (-1, 4)

d)

The x - intercepts are (0, 1) & (0, -3)

e)

The y - intercept is (0, 3)

175.

Select all the Statements that are TRUE.

$y\ =\ -3\left(x\ +\ 2\right)^2\ +\ 5$

a)

The Vertext is (-2, 5)

b)

There is a Minimum Value of 5

c)

There is a Maximum Value of 5

d)

The A.O.S is x = -2

176.

Select all the statements that are TRUE.

$y\ =\ \left(x\ -\ 6\right)^2\ -\ 10$

a)

The Vertext is (-6, -10)

b)

There is a Minimum Value of -10

c)

The A.O.S is x = 6

d)

The Vertex is (6, -10)

e)

There is a Maximum Value of -10

177.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

178.

Determine the vertex of the parabola

y= 5(x - 2)²– 7

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

179.

What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

180.

The formula to determine how many solutions a quadratic equation is called the discriminant which is...

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

181.

Use the discriminant $b^2\ -\ 4\left(a\right)\left(c\right)$ to determine the number of solutions the following quadratic equation has.

6x² − 2x − 3 = 0

a)

76 Two Solutions

b)

29 Two Solutions

c)

68 Two Solutions

d)

none of these

182.

Use the discriminant $b^2\ -\ 4\left(a\right)\left(c\right)$ to determine the number of solutions the following quadratic equation has.

-2x² − x − 1 = 0

a)

76 Two Solutions

b)

-7 No Solutions

c)

9 Two Solutions

d)

0 One Solution

183.

How many solutions will this quadratic equation x²+ 8x + 16 have?

a)

2 real solutions

b)

2 imaginary solution

c)

1 solution

d)

3 solutions

184.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

185.

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

186.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

187.

Are the points on the line part of the solution set or not?

a)

Yes, they are part of the solution set because the line is SOLID.

b)

No, they are NOT part of the solution set because the line is SOLID.

188.

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

$3^{-3}$

a)

-27

b)

$\frac{1}{3^3}$

c)

$-\frac{1}{27}$

d)

$\frac{1}{27}$

189.

Which of the following below are equivalent (the same as)

$x^{-7}$

a)

-7

b)

-7x

c)

$\frac{1}{x^7}$

d)

$\frac{1}{x^{-7}}$

190.

Which is greater, 2654⁰ or 5⁰?

Select ALL that apply

a)

2654⁰

b)

5⁰

c)

They are the same value

d)

Zero is greater

e)

They both equal 1

191.

Using the Product of Powers Property. Simplify the expression.

(x⁴ )(x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

192.

Using the Product of Powers Property, Simplify the following expression.

(2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

193.

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

a)

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

b)

Power of a Power Proerty and Quotient of Powers Property

c)

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

d)

$3^{\frac{x\ +\ 5}{y}}$

e)

Product of Powers Property and Quotient of Powers Property

194.

Write the expression in radical form

$y^{\frac{2}{3}}$

a)

2y³

b)

$\sqrt{y^3}$

c)

(∛y)²

d)

3y²

195.

Which of the following expressions is equivalent to $\sqrt{7}$

a)

7²

b)

$7^{\frac{1}{2}}$

c)

7^-2

d)

$7^{-\frac{1}{2}}$

196.

∜m³ is the same as which answer?

a)

$m^{\frac{3}{4}}$

b)

m¹²

c)

$m^{\frac{4}{3}}$

d)

m⁷

197.

Rewrite the expression using a rational exponent.

a)

4xy¹¹

b)

xy⁴⁴

c)

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

d)

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

198.

a)

4^4/3

b)

4^3/4

c)

2^4/3

d)

2^3/4

199.

a)

2^3/5

b)

-2^3/5

c)

2^5/3

d)

8⁵

200.

a)

A

b)

C

c)

B

d)

D

EOX MAX REVIEW

Total questions: 200

Worksheet time: 10hrs 3mins

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